diff --git "a/data/dm_maths/full_data_1/2323_11255.jsonl" "b/data/dm_maths/full_data_1/2323_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2323_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the highest common divisor of 141995 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52066845067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45518089 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 + 4808194*z**2\/13 - 9616382*z\/13 + 4808190\/13.\nAnswer: -2*(z - 2404095)*(z - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63458 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 1921*g - 1921*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let p(d) be the second derivative of d**6\/360 + d**4\/6 + 3*d. Let w(s) be the third derivative of p(s). Determine u(w(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5558 divided by -14\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3466\/11 + 315. Which is the smallest value? (a) -12.5 (b) -1 (c) t (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*j - 27 = -5*d, 2*j - 25 = -5*d. Suppose -308 = -s + 5*i + 613, -3*s + 2715 = -d*i. Suppose -2*r = 5*y + 244 - s, 4*y - 2*r - 522 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256942?\nAnswer: 2, 7, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -931 (base 10) to base 15.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.7939027 rounded to zero decimal places?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**3 - 3*p**3 - 2*p**3 - 41*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -375103 times 0.4?\nAnswer: -150041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 19*y**2 + 18*y + 13. Let w be l(-18). List the prime factors of 93\/((-28)\/(-49) + w\/14).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o - 62 + 32*o - 9*o + 4 - o - 4 + (-2*o - 1 + 1)*(4 + 1 - 7) + o + 0 + 0.\nAnswer: 2*o - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 20\/3943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 48 = 4*u + 2*n, 5*u + n = 60. Suppose 6*t - u*t = 0. Factor 2\/7*i**3 - 2\/7*i**5 + t + 0*i + 0*i**2 + 0*i**4.\nAnswer: -2*i**3*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*g + 3539 - 789 = -13200 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-19)*l))**19\/(((l**(-2\/75)*l)\/l)\/l**(-28)) assuming l is positive.\nAnswer: l**(23552\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-3\/8))\/k)\/k*k*k)\/(k*k\/k**(-5))*k*k*k\/(k**(-11)*k*k)*k*(k\/k**(-5\/6)*k)\/k)**32 assuming k is positive.\nAnswer: k**(884\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59674, 59673, 59672, 59671?\nAnswer: 59670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*a = 0, -14 = -4*u + 4*a - 5*a. Suppose -3 = 4*d - d. Put d, u, 2 in decreasing order.\nAnswer: u, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891959*s**2 - 945969*s**2 - 945974*s**2 - 4.\nAnswer: 16*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:13 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -107076 divided by 26769?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3 + 3)*(4530*v**2 + 3121*v**2 - 7745*v**2 + 2982*v**2)*(-1 + 2 + 0)*(3 + 0 - 2).\nAnswer: -2888*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2563563031 from -462.\nAnswer: 2563562569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 1. Let s(m) = -4*m**3 + 2*m**2 - 4. What is -5*j(g) + s(g)?\nAnswer: g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-6) + (16\/(-4))\/2. Suppose -8*c = -7*c - 2. Solve -q - 8 = -c*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*t + 5*y, -4*t = -83109*y + 83112*y - 40 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = o - 5*o + 6, 0 = 3*o - 3. Let m be ((-2)\/s)\/(3\/9). Solve -r + m = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) + 1\/36. Let t = 1657 + -1686. What is the second biggest value in -0.5, t, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9389346 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 6, -1\/2, 80, -63, -0.07, 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*f = 7*f - 20, -10 = -4*a - 2*f. Let s be 62 + -4 + a\/2. Suppose 2*k + y = s, 0 = -y - 0*y. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 + 69\/(-3). Let v be 17\/20 + 12\/d. Let f = -7 + 2. Which is the biggest value? (a) f (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646 by -4.\nAnswer: -323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 38 = 138. Let q = 11 - 3. Suppose j + 0*j + 5*u - p = 0, -u - q = -j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2744281\/1402 + -67\/701. Let o = -1998 - c. Find the common denominator of 2\/5 + 798\/(-270) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 1586037*s + 0*s**3 - 1586037*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*o = -131*o + 6, -4*t - 4*o + 52 = 0. Let h be (-1)\/(-3) + 382\/6. What is the highest common divisor of t and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.707 + 24.3. Let s = 86.407 + x. Is s greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2 + 0*r**5 + 0*r + 0*r**4 + 5\/7*r**7 + 4\/3*r**3 + 0*r**2 + 0*r**6. What is the third derivative of d(x) wrt x?\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -12\/7, -1, 0.5, 0.706, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16110 and 378.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/13 + 2\/91. Which is the second smallest value? (a) -1 (b) -4 (c) t (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 676.41 + -673. Let v = 0.41 - g. What is the smallest value in -5, v, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13433 = -3*v - 1316. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**7*r**(-7\/6))**(-19))**(-32))**(-16) assuming r is positive.\nAnswer: r**(209152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882*y - 2439 = -883*y. What are the prime factors of y?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/(-27)*(-2 - 1). Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -109. Let f = p - 45. Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.066 - 36.934. Let l = f - -36. Let i = -0.41 + 0.01. What is the second biggest value in l, -6, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5 + 17. Suppose 1 = -5*m + 6. Calculate the smallest common multiple of s and 1\/(2\/12*m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8694 < -8694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*f + 16, 5*l = -6*f + 4*f + 80. Calculate the remainder when 63 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 + 30 - 43)*(0 + 2 - 4)*(4*h - 4*h - h) in the form w + t*h and give t.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -4*v + 7*v. Let z be (2 - 1) + -1 + v. Let x = z + 153. What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9907929 to the nearest 10000.\nAnswer: -9910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w - 5. Let t(n) = -7*n - 6. Let f(s) = -6*q(s) + 5*t(s). Let u(y) = 22*y + 6. Let b(i) = 22*i + 7. Let k(j) = 5*b(j) - 6*u(j). Give f(k(c)).\nAnswer: -22*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + u**3)*(729 + 1782 + 885 - 10992 - 7262).\nAnswer: 14858*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 2*a + 142. Let x be g(-12). Solve -9*m + x = 67 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*p + 9, 3*t = 6*t - 2*p - 15. Suppose t*y - 324 = 3*y. What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + -102120120?\nAnswer: -102121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 43386?\nAnswer: -9\/14462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3991346 to 2 decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 88720.\nAnswer: 3\/88720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (231\/45 - 5) + (-46)\/120. Put 4, -2\/3, 3\/4, k in decreasing order.\nAnswer: 4, 3\/4, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12564854 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**3 + 21*a**2 - 2*a + 47. Is n(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*b*k - 31231011*b + 158960*k wrt k?\nAnswer: 82*b + 158960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 40170382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is db (base 14) in base 12?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 + 3 = 3*w, 2 = 2*a - 2*w. Differentiate a - 612*z + 5 + 624*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -16\/1831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*c + 42, -38 = -0*c + 4*c - 5*u. Let v(s) = -2*s**2 - 28*s - 11. Let a be v(c). Let q = 23 + a. Calculate the highest common factor of q and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605539698684 minus -8?\nAnswer: 605539698692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 3*s - 2*s, -5*b + s + 5 = 0. Suppose 52 = 199*c - 186*c. Calculate the lowest common multiple of b and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -950 (b) 3 (c) -1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 250.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, -0.6, 3, -5.4, -2\/61 in increasing order.\nAnswer: -5.4, -0.6, -0.4, -2\/61, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12212111 (base 3) to base 5\nAnswer: 114104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 7*t**2 + 6*t**2)*(3*t + 4*t - 5*t) + 4*t**3 + t**3 - 2*t**3 + 2*t**3 - 2*t**3 + 2*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*p**4*r - 12*p**3*r - 6*p*r + 2*p - 103*r wrt p?\nAnswer: -1212*p**2*r - 72*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.6 + 11.727. Let u = q - -0.073. Do 2\/137 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 316 + 244 = 0. Let b = x - 68. Factor 0 - 2*h**3 - 2\/9*h**b - 16\/3*h**4 - 32\/9*h**5 + 0*h.\nAnswer: -2*h**2*(h + 1)*(4*h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837*d - 840*d + 1672*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18086, -18088, -18086, -18080, -18070?\n\"Answer: 2*c**2 - 8*c - 18080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 2) + -17 + (6 - (8 - 32)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2)*(-3 - 15). Let k = -12 - d. Suppose 3*j + 15 = 0, o = 2*o - j - 71. Calculate the greatest common divisor of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1069, -3599, -7443, -12595, -19049, -26799?\nAnswer: -35839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2099.3 - -2099. Which is the nearest to 3\/4? (a) -0.2 (b) -63 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/15 + 1945928*m**2\/3 - 11833256275456*m\/15 + 47332869427712\/15 = 0. Calculate m.\nAnswer: 4, 2432408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 174.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 6*o + 16. Calculate the least common multiple of (-4*25\/(-20))\/((-2)\/(-64)) and x(4).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 3. Let r be -2 + (8 - 0 - 2). Calculate the lowest common multiple of c(r) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44342669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10467018 divided by -2?\nAnswer: 5233509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -3*j + 2, 3*j + 5*k - 11 = 0. Solve 2*d + 8 = -2*q, j*d - 2*q - 3*q - 27 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285576594 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1193*20417.\nAnswer: 2435.7481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32338 is divided by 83.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -108*q - 31. Let u be (3\/(-4))\/((4 + -2)\/32). Let r be x(u). Suppose -9*i + 7322 - r = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 17*w**2 + 3*w + 2. Let q be p(-2). Let c(o) = -q + 64 - 3*o. Calculate c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 4 = 14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 70*p\/3 - 392.\nAnswer: -(p + 28)*(p + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69851 and 161759?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 5 - 2*n + 2)*(-3 + 5 - 3).\nAnswer: -6*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(175)*-2 - sqrt(175)) + sqrt(175)) - (sqrt(175)*-1 + -4))*-1)**2.\nAnswer: -120*sqrt(7) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 169*z + 38. What is the hundreds digit of i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/5 - 66*s\/5 - 432\/5 = 0.\nAnswer: -24, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 24. Suppose -3 = 4*j - z. Let x(v) = v**2 - 9*v + 9. Determine x(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let s(u) be the second derivative of -61*u**5\/24 + 10*u**3 + 2*u + 52. Let w(b) be the second derivative of s(b). Determine w(t(k)).\nAnswer: -610*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - -18. List the prime factors of b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = -7*i + 346. Let y = -185 + i. Let s = 132 + y. Calculate the remainder when s is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 179.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 279350093 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15684522211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -11*y**3\/3 - y**2 + 14*y - 36. Suppose 0 + 24 = -2*r. Let w = r + 4. Let k(j) = 7*j**2 + j - 9. Determine w*k(u) - 5*o(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*l - 27 = 0, 8*u - 6*u - 2*l - 2 = 0. Sort u, 4, -9, 7, -1 in ascending order.\nAnswer: -9, u, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 + 2*g - 60. Let a = 33 - 33. Let z be y(a). Let q be 3*5\/(z\/(-116)). Which is smaller: q or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 t, and 1 v when four letters picked without replacement from vttvvffvffvtvfvfvf?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13453, -26907, -40361, -53815, -67269, -80723?\nAnswer: -94177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 173, -6, -2 in increasing order.\nAnswer: -6, -2, 1, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 302*d - 1. Let c(f) = -2*f**2. What is a(c(u))?\nAnswer: -604*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9738 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/65? (a) -2 (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 947, 1062, 1175, 1286, 1395, 1502?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 q when four letters picked without replacement from tqtqccttqctttctt.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + 2*j**2 + (-j + 0 + 0)*(7*j - 3*j - 2*j) + 76*j - 76*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r, 0 = -3*w + 2*r - 3*r + 99. Let s be (-1)\/(4\/(w\/(-20))). Suppose -s*k**3 - 6\/5*k - 6\/5*k**2 - 2\/5 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = 4*l. Suppose -l*o + 3*a + 27 = 0, 4*o - 3*o - 4*a = 2. Find the second derivative of -o*u**3 - u + 0*u + 4*u**3 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -9*d + 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, g: 5}. Give prob of picking 1 g and 3 b.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*f = 5*p - 11, -22 = -4*p + 3*f. Solve -10 = 4*v - 3*i, -v - 4*i = -0*v - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let c(w) = w**2 + 7*w + 2. Let j be c(-7). Differentiate 2 - 3*z + j*z**2 + a*z with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1218091*p**3 - 1614564*p**2 wrt p.\nAnswer: -7308546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196899457 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1970*x. Let h(n) = 86296*n**2. Calculate u(h(d)).\nAnswer: -170003120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -4 + ((sqrt(75) + (sqrt(75) + sqrt(75) + 0 + sqrt(75))*5)*-6)**2*-5 + 5).\nAnswer: -6912002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541805.\nAnswer: 5, 11, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-6)\/(-12)*8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 3*s)*(-s**4 + 0*s**2 + 0*s**2) - 3*s**5 + 4*s**5 + 61 - 49 + 2*s.\nAnswer: 3*s**5 + 2*s + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 5*n = -260, 0 = 2*t - n - 104. Let r = 26 + -13. What is the highest common divisor of r and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 12. Let p be n(-7). Suppose -p*g - 143 = -798. Suppose -3*j + 0*w = -5*w - 101, 3*w + g = 4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 times -0.05367?\nAnswer: -8.42619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 52. What is the least common multiple of 5 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 12*l - 720 + 404 = -8*l, -4*l = -3*n + 316 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**5*f))\/f)*f**(2\/3)*f**(-1\/5)*f\/(f*f\/((f**1\/f)\/f)*f)*f)\/((f\/(f**(-1)*f)*f)\/f*(f*f**5)\/f)**1 assuming f is positive.\nAnswer: f**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -163 in -0.3, 0.06, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + f + 3*f**2 + f**3 + 388 - 389 + f**4 to the form x*f**4 + m*f**2 + q*f + y*f**3 + t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 7*m - 2. Determine l(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211972643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -46*t + 69 + 76. Solve 0 = -3*h - t*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021693 to 4 dps.\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m**3 + 9*m**2 - 6*m - 2. Let j(r) be the first derivative of -7*r**4\/4 - 2*r**3 + 2*r**2 + r + 3. Let z(a) = 5*h(a) + 7*j(a). Does 3 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from kggkkkkggkkkkk.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-26)*16)\/((-2 + 0)\/(-4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 1839 + 139. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:49 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 12. Let q(w) = w**2 + 2*w - 8. Let m be q(-4). Suppose m = 12*u - 11*u + 4. Let p be j(u). Solve 3*g + 3 + 9 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l - 86 = 208 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*w**4 - 22394*w**3 - 924043*w**2.\nAnswer: 624*w - 134364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/24)\/((-8)\/(416\/3))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7197087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/15 and 5330\/(-6620) + (5 - 125\/30).\nAnswer: 4965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.686 - -4.7. Let f = -0.464 + x. Let t = 0.44973 + f. Round t to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + -9.17. Let y = 5 + t. Which is the third smallest value? (a) -1\/7 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7684 (base 10) to base 14.\nAnswer: 2b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2281 + -a1?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169391 and -0.07.\nAnswer: -169391.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64 (b) -5 (c) -3\/2 (d) 0 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 + 17*g**2 + 8*g**2 in the form n*g + l + m*g**2 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + (-50)\/(-5))*4*-5. Solve -4*m = -a - s, -4*m + 2*m + 4*a = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 - (-1)\/1) - (7 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 2442557?\nAnswer: 19540456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/7, -157, -5, -9, -2 in descending order.\nAnswer: -0.1, -2\/7, -2, -5, -9, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2975, -941, 1093, 3127, 5161, 7195?\n\"Answer: 2034*h - 5009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 31. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from {b: 3, h: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -46626 (base 12) in base 9?\nAnswer: -153203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 274886226 and 408.\nAnswer: 1099544904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-30) - (-9)\/(-15). Let g = -5 + 2. Which is the third biggest value? (a) k (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4411*a + 3 = 4414*a + 5*d, -4*a + 3*d - 25 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*m**6 - 11*m**5 + m**2 - 18*m wrt m?\nAnswer: -1200*m**3 - 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1222 or -1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/20 + n**4\/2 + 5*n**3\/6 + n**2 - 2*n. Calculate the lowest common multiple of y(-4) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (22\/(-2))\/((-9)\/(-81)). Suppose 3*i = -i + 136. What is the greatest common divisor of l and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-942)\/(-36) - 1\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -386 - -392. Let g(y) = -24*y + 136. Let m be g(w). Let r(t) = t**2 + 10*t + 11. Calculate r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111038323*n**2 + 20696010.\nAnswer: -222076646*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.4 times -0.5?\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -7408.2.\nAnswer: 3704.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142359*z**4 - 97*z + 4.\nAnswer: 1708308*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/8 + 7*u**3 - 2*u**2 + 77*u. Let d = 2 + -2. Does 9 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -21)\/(108\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1 + 0 + 1. Let r = -523 + 525. Suppose -2*l + m = r, 4*l + 2*m - 3*m + 8 = 0. Put 4, f, l, 5 in descending order.\nAnswer: 5, 4, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -297 (b) 0 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/195*-15*7\/21*90\/(-18)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186327258*n + 164077575 wrt n.\nAnswer: -186327258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w = -15. Calculate the common denominator of 13\/((-2 - -3)*11) and w\/(-8)*(-61)\/(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4473552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-122 - -110 - (-12 + (-2 - -1))) + -18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 4, b: 4, k: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p**(2\/3)\/p)*p))*p\/(p**4\/p*p))**21 assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)*(-119)\/17. Solve -179 = s*m - 193 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 2 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.48 and 756.\nAnswer: 737.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 378 - 997?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/48)\/(((-5605)\/(-6))\/(-19))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 3, 1.6, 3\/23, -26, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3 - 3 + 5 + 0. Give w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*r**3 + 72*r**3 + 145*r**3.\nAnswer: 102*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -5*g**3\/3 + 330*g**2 + 1340*g - 104. Factor d(a).\nAnswer: -5*(a - 134)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, -3\/7, 3\/37 in ascending order.\nAnswer: -2, -2\/3, -3\/7, 3\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**3 + 48*p**3 - 105*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*r - 3)*(-7266*r - 104 - 46 + 150) in the form f*r**2 + k + u*r and give f.\nAnswer: -14532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 1 + 1)*(-2 - 1 + 1)*(41*c - 14*c**2 - 41*c)*(36*c - 138 + 138).\nAnswer: 5040*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t**2 - 85*t**2 + 148*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*n = 2*q + 739*n + 26, -29 = 3*q + 4*n for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*m - 336, -9*m + 84 = -8*m + 3*n. What is the smallest common multiple of m and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158431627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 2*u**2 - 7 - 2*u - 3*u + u**3. Let h be w(-5). Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.951 + 0.049. Let g = v - 23.7. Let j = g + 0.7. Which is smaller: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86991 - 27719. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - x**2 - 3*x + 2. Let u be c(4). Let i = -101 - u. Calculate the remainder when i is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139195 and 308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059635.\nAnswer: 5, 211927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*-2)\/sqrt(2) - (sqrt(35) - sqrt(70)\/sqrt(2))\/sqrt(5))**2 - ((-4 + sqrt(63))*6)**2.\nAnswer: -2816 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*j - 4*g - 3, -4*g = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 897.5938 times 5\nAnswer: 4487.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/(-497))\/(2\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k + 2*v - 20 = -66*k - 0*v, 10 = -3*k + v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((30\/(-42))\/1)\/((-44)\/14 - -3). Solve -32 = 3*m - 5*o, o + 9 = -u*m - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, q: 1, d: 2, y: 3, w: 2}. What is prob of sequence od?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/324 and 12\/5.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1399725*i**2 - 3*i - 261178605 wrt i?\nAnswer: 2799450*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -10150859.2567?\nAnswer: -10150862.2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33360?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17209, -34964, -53269, -72124?\nAnswer: -91529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 0.5, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -691 - -689. Which is the closest to 2\/17? (a) u (b) -0.3 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let t(c) = 4*c + 7. Let v = -44 + 46. Let h(l) = v*t(l) + 10*n(l). Calculate h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101010110001010011001 (base 2) to base 5.\nAnswer: 2413031201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/162 and -109\/5234130.\nAnswer: 47107170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 116*j**2. Let k(x) = 5730*x**2. Calculate k(s(a)).\nAnswer: 77102880*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + 12*f**2 - 618*f - 3012. Calculate v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 - -226. Let d = o + -9. Let t = -44 + d. Calculate the remainder when 80 is divided by t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*m**3 + 107*m**3 - m**2 - 208*m**3 + 13*m as n*m**2 + i*m**3 + w + p*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 654 = 38. Let q be x\/(-14) - 1\/2. Solve 1 = -2*o - q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591, 2134, 4723, 8364, 13063?\nAnswer: 18826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -2, 32, 279.\nAnswer: -103, -2, 32, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/2100 and 139\/81900?\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 957145, 147, -1\/6 in ascending order.\nAnswer: -1\/6, 147, 957145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from wjwjnjweye?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 - r**3 - 5*r**2\/2 + 2*r - 15. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.23 + 10.23. Let z = 11 + -14. Which is the closest to z? (a) y (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841207?\nAnswer: 7, 181, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.075955238+26371\nAnswer: 26369.924044762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 37*g + 7*g - 330. Solve 4*o = 5*o + s + g, 4 = -2*o + 2*s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -192, 1\/3, 6, -2, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*p - 82, 0 = 856*l - 861*l + 4*p + 191. Solve 2*t - 3*c = 2, -3*t = l*c - 30*c - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547111177?\nAnswer: 1547111177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:14 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10947258 and 11\/4.\nAnswer: 21894516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 4\/(-2) - 10. Let a = o + 15. What is the remainder when 69 is divided by (-27)\/a*(-16)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/2 - -289\/30. Let c = 41\/102 + -4\/17. Sort 4, -0.5, c, f.\nAnswer: -0.5, f, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -107. Solve b + 3*m + 4 = 0, 4*b + h*m = 5*m + 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46527527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:17 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*z + z. Let r be ((-527)\/186)\/(3\/(-36)). Let o = z + r. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635111 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, 0.18, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 3*u. Let s(h) = -12*h + 4. Let k(a) = 6*a - 2. Let m(q) = 9*k(q) + 4*s(q). Calculate the smallest common multiple of m(1) and c(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2378*d**4 - 220?\nAnswer: 9512*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 88. Let w = -11 - i. Solve 2*g = 4, -3*s + w = -0*g + 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2 - 49*l - 105. What are the prime factors of v(-20)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1900) + sqrt(1900)*-2 + -2 + sqrt(1900)*1 + 0)*1 + 3))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81194834\/11 or -7381349?\nAnswer: -7381349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10445535.\nAnswer: 3, 5, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {h: 2, t: 3, d: 7, x: 5, l: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 15*a = -968. What is the greatest common divisor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 103*m**2 - 2600*m + 2704 = 0 for m.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + r**2 - 2 + r + 2*r. Let k(h) = -h**2 + 4*h + 7. Calculate the least common multiple of i(-2) and k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001686 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_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 k(r) = 19*r**3 + 3*r**2 + 5*r. Let c(n) = -n**3 - n**2 - n. Let m(o) = 5*c(o) + k(o). What is the third derivative of m(a) wrt a?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q\/q**(-1\/5)*q))\/q))**(4\/3)*q**(-2\/31)\/(q*(q**(-8)\/q)\/q*q)*q**(3\/2)\/(q**8\/q)*q**4*q**2 assuming q is positive.\nAnswer: q**(4351\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-754)\/(-252) - 4\/(-14) and 2\/(-7) - 1406\/28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3794*g**2 - 3792*g**2 + 2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -240715 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, y: 4}. What is prob of sequence ys?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -59. Let x be 816\/357 - a\/7. Solve -5*w - 4 + 13 = -x*z, -z = -3*w + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4148 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 0, 4, 3\/28, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d4b4 (base 14) in base 8?\nAnswer: 107406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 250213530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 235*h - 3672. What is the hundreds digit of j(55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*y = -84, -5*s - 4*y - 104 - 6 = 0. Let x = -18 - s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91875 by 1225.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**4\/3 + 70*p**3\/3 - 5*p**2\/3 - 70*p\/3 = 0.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2756 + (-8 - -26) + -8. Suppose -9*u - r = -3351. Let c be 3 + (-2 - (-6 + 2)). Sort u, c, -1.\nAnswer: -1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9881 greater than -8836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.341505 millilitres to litres.\nAnswer: 0.002341505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1268 = 2*l + 2*l. Let u = -171 - l. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/15 - 512*u**2\/5 - 19558*u + 118580\/3 = 0.\nAnswer: -385, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -40*d**3 - d**2 + 4*d**3 + 46*d**3 + d + 2*d**2. What is j(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 5. Let r be i(8). Suppose 4*g - 27 + 5 = r*y, g - 4*y = 12. What is the third derivative of -2*o**4 + 3*o**2 + 2*o**g + 4*o**4 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 20 + 1395*i - 17 + 4. Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 72.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:59 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635 - 635 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2856 divided by -14.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 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: Calculate the remainder when 115 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 4, 1, -149, -9 in decreasing order.\nAnswer: 4, 1, -9, -29, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -f, 2*f + 2 = 7*h - 9*h. Which is smaller: -0.032 or h?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*n = 24, 5*s + 11 = 4*n - 29. Let a(g) = -24 + 69 - 28 - 6*g - 22. Calculate a(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6444324 and 3268.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c82 (base 15) in base 10?\nAnswer: -2822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 + -3.39818. Round l to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16013*c + 12123*c + 1134*c to l*c + q and give l.\nAnswer: 29270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150236346.\nAnswer: 2, 3, 13, 47, 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(36\/(-154)) - 6. Do 6 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4573 + -4574. Put 8, 1, 14, j in increasing order.\nAnswer: j, 1, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 4*s + 4*s - 4*s**2 - 3.\nAnswer: -4*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 479393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*y + 2*s, y - 9 = -2*s + 10. Let d = 288 - y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -89*u - 393 + 83. Put u, 197, -3 in decreasing order.\nAnswer: 197, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7128 and 0.03.\nAnswer: -7127.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + ab3?\nAnswer: ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 12515?\nAnswer: 12541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-243)\/(-198))\/(-27))\/(6\/33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*n + 72, 2*w + 6 = -2*n + 46. Suppose -14 = -3*d + n. Calculate the remainder when 36 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -6, 1\/2, 0.551, -3\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhr when four letters picked without replacement from {r: 4, h: 8, d: 1}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100546.62 months to years.\nAnswer: 8378.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12602 at most -12582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - -60) + (12 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 57 = -3*r, -15 = 3*h. Solve -3*n + r = -2*u, 0 = -n - u - 6 + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 49*f - 49*f + 3*f**2 - 2*f**2. Let a(n) = -8379*n. What is a(q(w))?\nAnswer: -8379*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 37 + 55 = 0. Let a be (-23 - 11)*z\/(-6). Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = -11*u - 75 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-75 + 72)*35\/45*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 158.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 22 + (-2 - 303\/21) - -8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**3*w - 1808368*j**3 + 3*j**2*w + 13939*j*w + 9*w + 1 wrt j?\nAnswer: 18*w - 10850208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 + (-14)\/(-7))*3\/(-9). Let k = -0.123 - -8.223. Let h = 8 - k. What is the closest to 1\/4 in r, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.23 and -27?\nAnswer: 384.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-2))\/(-1) - -1. Let t be (2 - -4) + (-2 - y). Suppose -t*i = 5*n - 102, 3*n - 58 = i - 2*i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034015 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3389 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-540)*351540\/(-868)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 + (1 - (-5 - -4)) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*x + 21. Let w(u) = u**3 + u - 1. Let k(r) = 2*r**3 + 3*r - 3. What is x*w(q) + 2*k(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.3\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856*r - 11 = -j - 2853*r, 7 = 5*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 10*p + 6. Let o be f(6). Let h = o - -22. Differentiate 9*c**2 + 4 - 9*c**2 - 12*c**h + 3*c**4 wrt c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36557 + (10 - 14) + -14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 1, s: 7, l: 3, n: 1, g: 2}. What is prob of picking 1 g and 1 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = -3*i + 24, i + 5*s = -12. Suppose -x - y + 2*y = -i, -2*y - 23 = -3*x. Solve 4*k - 3*f + 26 = 0, 5*k - 4*k + x = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10503 and 324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.072 or 1\/7?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -111565022?\nAnswer: 111565021.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2654193 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6465*h + 3964*h + 3437*h.\nAnswer: 936*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, j: 2, u: 2, v: 4, e: 1}. What is prob of picking 1 j, 2 u, and 1 z?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191954 is divided by 335.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 650 = -82*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3008 + 3020. Let k(x) = x**3 - 11*x**2 - 10*x - 33. Determine k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 444 + 574)*(-5*k + 5*k - 3*k + (3*k - k + 0*k)*(1 + 4 - 6) - 3*k + 3*k - k).\nAnswer: -5730*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r + 7. Let y be m(4). Factor 1\/2*f**2 - 1\/2 - 1\/2*f + 1\/2*f**y.\nAnswer: (f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 4*s + 16*s.\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -24560*r. Let a(m) = 88*m**2. Calculate v(a(b)).\nAnswer: -2161280*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7133 (base 8) in base 11?\nAnswer: -2841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-42)\/56)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 767.\nAnswer: -19175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -275 - -259 - (5 - 5 - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 7, e: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 840 = -4*x + 24*w, x - 210 = 2*w. Calculate the lowest common multiple of 150 and x.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xqxpprcy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 601.12.\nAnswer: 625.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 + c**2 - 2*c + 10. Does 32 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c**2 - 1 - 82*c**2 - 21*c**2)*(3 - 2 - 2).\nAnswer: 125*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1663380\/31 or 53657?\nAnswer: 1663380\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, 3, -1\/593?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 6776.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*w + 9 = 0, 99 - 78 = 3*c - 3*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 2*y + 1. Let g be r(-3). Let t be g\/3 - 17\/(-3). Let n(w) = -t*w + w + w. Let p(q) = 2*q. Give p(n(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.634 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90993823 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.95. Let j = 1.05 + i. What is the nearest to 0 in -4, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixibxieilxiwi. What is prob of picking 1 i, 1 b, and 1 x?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3807, -3, 15 in descending order.\nAnswer: 3807, 15, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 13, 1, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21158490 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -100101110011100 (base 2) to base 15\nAnswer: -5b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-29)*f)\/f**(-27))**24 assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 8*s**2 + 7*s - 14. Let d be o(-9). Suppose 223 = d*h + 239. Sort 5, -2, 3, h in descending order.\nAnswer: 5, 3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 + 240*w**4 + 2428*w**3 - 17272*w**2 + 8832*w + 28288 = 0?\nAnswer: -13, -1, 2, 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 + 10) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 64*x**2 + 2*x + 1059. Let c(t) = 450*t**2 + 15*t + 7410. Let v(o) = 3*c(o) - 20*z(o). What is the first derivative of v(l) wrt l?\nAnswer: 140*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341458 is divided by 1588?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13)**(-25) assuming d is positive.\nAnswer: d**(-325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 7:57 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -56973510 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 82, 4, -1.\nAnswer: -5, -1, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*p + 7918, 11*p = 14*p + 9. Is h a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -46, 8, 1672 in descending order.\nAnswer: 1672, 8, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -61. Let x be ((-16)\/(-24) - (-56)\/60)*25. Suppose -2*o = -x - m. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 6) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -8. Let w = o - 10.9. Suppose 5*r + 5*s + 13 = r, -3*r - 4*s - 11 = 0. Put w, -3, r in increasing order.\nAnswer: -3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*l - 15 = 2*l, 20 = -4*h - 5*l. Let w be (h\/6)\/(1\/(-6)). Let t be 12\/7 - ((-33)\/(-7) - w). Solve t*n + 4*r = -12 + 4, 3*r + 24 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 15*z - 37. Let g be m(-11). Let b = 138 + -134. Suppose 0*l**4 - 7*l**3 + 3*l**3 + g*l**4 + l**4 - b*l**5 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*p - 15973 + 15973)*(1 - 2*p**2 - 1)*(3 - 4 + 14).\nAnswer: 5200*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 + 25*n + 16. Let b(g) = 3*g**2 + 13*g + 8. Let y(i) = 7*b(i) - 4*d(i). Let s be y(10). Solve 3*k + s = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = -1. Suppose -12*q + 416 = -4*q. Let v be (-13)\/q*(-16)\/(-9). Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 24*k**2 - 119*k**2.\nAnswer: -143*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 547 - 361. What is the highest common divisor of 8 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37522047 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express 15*m**4 + 3*m**4 + 0*m**4 + (-3*m + 4*m + m)*(-5*m**3 + 97*m**2 - 97*m**2) in the form r*m + k*m**2 + j*m**3 + i + d*m**4 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 6, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bow when three letters picked without replacement from wttdzodtbdoodztttz?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/5 - (-548)\/4. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 1\/10*w**4 - 4\/5*w**2 - 8\/5*w - 17 + 2\/15*w**3. What is k in g(k) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -35*d**4\/4 + 50*d**3\/3 - 5*d**2 - 13*d. What is the first derivative of a(y) wrt y?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -840\/19?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.23 + -7.23. Let x(i) = -i**3 + 6*i**2 - i - 7. Let o be x(6). Which is the second smallest value? (a) q (b) 0 (c) 1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 323?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c\/(c*(c*c\/c**(-15))\/c*c*c)))))\/c**(-14))\/(c**9\/(c\/c**(-13))))**26 assuming c is positive.\nAnswer: c**988","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20*p**2 - 1.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 47*n = 45*n - 151, 232 = 4*h + 5*n. Calculate the greatest common factor of 901 and h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422375.8274 rounded to the nearest one thousand?\nAnswer: -422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -93c2 + -27?\nAnswer: -93e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -7 - 21. Let j(v) = 31*v**2 + 2*v. Let w(m) = -15*m**2 - m. Let b(s) = n*j(s) + 7*w(s). Is b(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 30 = -h + 18, -3*h - h + 0*h + 67 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - d?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*s + 207*s - 1 + 1 + 246*s - 695*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(1 - 2 - 1)*(2*z - 2*z - z)*(31*z + 3*z**3 - 31*z).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -164. Let b(h) = -h**3 + 4*h**2 + 2*h + 4. What is b(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*k = -3*k - 14, 4 = -k. What is q in 2\/3*q**v + 0 + 0*q = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -394.15 + -1015.\nAnswer: -1409.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 14) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, -4 in decreasing order.\nAnswer: 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*f = -221*f - 32*f - 68*f - 2064 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 39513123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**5\/5 - 4*v**3\/3 - 5. What is the third derivative of j(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 13. Let f be k(12). Let y be (-2)\/f - (0 + -2). Solve 2*v + 13 = 3*l + 3*v, 4*l = y*v - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9\/15 + (-46)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 + (-375627)\/(-49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22774960 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 6*o - 54. Let r(x) = -2*x**3 - x**2 + 9*x - 53. What is -3*p(c) + 2*r(c)?\nAnswer: 2*c**3 - 2*c**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-457)\/(-1371))\/((-7)\/2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1, -196, -39, 3 in increasing order.\nAnswer: -196, -39, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-5*sqrt(77) - sqrt(77))\/((sqrt(88)*2)\/sqrt(8)) + -2)*-3)**2.\nAnswer: 378*sqrt(7) + 27927\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 40. Let g = k + 24. Calculate the remainder when 19 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-10))\/(-24*(-16)\/640). Which is the closest to -0.1? (a) k (b) 0.03 (c) -20 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 309575*y - 309580 = 0. What is y?\nAnswer: -1, 61916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 94*z + 546 = 73*z. What is the greatest common divisor of 28077 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 - 195. Calculate the highest common factor of l and 1488.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*285\/(-23940)*(148\/6)\/2*-3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028342 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-1)\/(9 + -8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993.513ml in litres?\nAnswer: 3.993513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2870\/5949?\nAnswer: 2870\/5949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(2*sqrt(1872)*-3 - (2*sqrt(1872) + 5))**2.\nAnswer: 14400*sqrt(13) + 1797495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u - 2. Let z be (-16)\/4*(-51)\/(-4). Let g(c) = 8*c**2 - 25*c - 16. Let o(h) = z*y(h) + 6*g(h). Factor o(i).\nAnswer: -3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42846*h**2*q**2*r + 7*h**2*q*r + 122*h**2 + 113205*h*r + 22*q**2*r + 2*q**2 wrt h.\nAnswer: 85692*q**2*r + 14*q*r + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - 20\/16. Let u be -2 - (-2 - (-2 + i)). Let q be 0*(u\/(-8) - 0). Which is the nearest to -1\/2? (a) 0.2 (b) 5\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.32261ng to tonnes.\nAnswer: 0.00000000000005332261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11011111010000 (base 2) to base 9\nAnswer: 21535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*n**2 - 84*n**2 - 83*n**2 - 83*n**2 + 409*n**2 - 81*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = -11*s. Differentiate -6 + 53*f**2 - 18*f**2 - 6*f**s wrt f.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 28*p**2 + p - 5. Let o be v(-6). Let u = -2073\/2 + o. Let j = 35 + u. Is j <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 11. Let v(t) = t**2. What is v(x(b))?\nAnswer: 16*b**2 - 88*b + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -17*y**6\/12 - 9*y**4\/8 + y**3\/3 + 132*y**2. What is the second derivative of i(k) wrt k?\nAnswer: -1020*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 64*r + 1094. Let c be l(-14). Solve -16*s + 114 = c for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -924, -1443, -1962, -2481?\n\"Answer: -519*d - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*m + 5 = 0, -5*r + 297*m - 1 = 299*m. Let g(h) = -h. Let j(s) = 4*s + 3. Determine r*j(f) + 3*g(f).\nAnswer: -7*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4772 - 2408 - 2368 - 2795*b)*(0*b + b - 3*b) to w*b + i*b**2 + a and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 6*g + 6 - 7 - 2*g**4 - g**3 to l*g**3 + j*g**4 + u*g**2 + s + d*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -15072935?\nAnswer: 15072918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -323, -455, -551, -599, -587, -503?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*d = 107*d - 948. Suppose -1\/3*g**5 - g**3 + 0 + 4\/3*g**2 + 4\/3*g - 4\/3*g**d = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 224. Is 231 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14363620?\nAnswer: 2, 5, 19, 37799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:22 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437052731?\nAnswer: 43, 331, 30707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134609?\nAnswer: 3, 7, 97, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 612917 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d**3 + 10*d**2 - 3*d. Let c(u) = -u**2 + u + u**2 - 3*u**3 - 3*u**2 + 7*u**3. Let p(o) = 7*o - 194. Let r be p(28). What is r*f(j) + 7*c(j)?\nAnswer: 2*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(19)*-5)**2.\nAnswer: -300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t + 3. Suppose j - d - 1 = -5, -j - 10 = 2*d. Determine a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 3.856. Let m = -0.044 + j. Is m greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:01 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-28))\/((-6)\/(-21)). What is the hundreds digit of (k - 7\/((-21)\/15)) + 674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by ((-432)\/(-45))\/((-18)\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 46. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -3 + sqrt(19)).\nAnswer: -sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -49*t + 375. What is w(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.02 + -17. Which is the second biggest value? (a) 2\/7 (b) -1 (c) -2\/7 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5376, 10757, 16128, 21483, 26816, 32121?\nAnswer: 37392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/(-130)*-6*(-6)\/42\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.2 - -1.8. Let h = -656.3 + -105.7. Let f = h + 759. Sort f, i, 0.3.\nAnswer: f, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 - -212. Suppose 0 = -2*j - 307 + 1061. Let v = 1093\/3 - j. Find the common denominator of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71332*h - 71332*h + 142663*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b + 7*b + 26*b**4 - 14*b - 26 wrt b?\nAnswer: 104*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7229\/9 or 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 47\/2 and 23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 563263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4, 230.6, 0.1?\nAnswer: 230.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 12*h - 6*h)*(-1 + 0 + 2) in the form g*h + p and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/59 - -112\/177. What is the closest to h in -1\/6, -1\/4, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -3. Suppose 4*p = p - 2*x + o, -3*x - 30 = -3*p. Let w(t) = 5*t - 13*t + p*t + 3*t. Let i(q) = 5*q**2. Determine w(i(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-6)\/(-15))\/(16\/90))\/(12\/55712)?\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786651476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ad5 - -149?\nAnswer: -798c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26757.56 litres in millilitres?\nAnswer: 26757560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 157 in descending order.\nAnswer: 157, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v - 15. Let g(c) = -c + 11. Let o be g(v). Suppose 5*r - 2*q - 26 = 0, r + 2*r + 2*q = 6. Calculate the highest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0 + 4. Let z be -1 + 4 + -2 + -1. Suppose z = 3*l + r - 14 + 1, 21 = 4*l + 5*r. Solve -4*v + l*f + 3 = -17, 10 = 4*v - c*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**2 - 6*d**2 + 0*d**2 - 2*d**3 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5*h - 210904 = 0, -5*q + 3*h - 5*h = -131815. Is 115 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796401 divided by 3?\nAnswer: 265467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 40*i + 2. Let w(n) = -7*n**2 + 42*n + 2. Determine -5*f(j) + 4*w(j).\nAnswer: 2*j**2 - 32*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (3 - 11) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/7, -0.3, -106, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 17304 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*v - 5 + 132*v + 0*v + 0 - 2*v + 0 + (-3*v + 2*v + 0*v)*(-3 + 5 - 3) + 0*v + 2*v + 0*v.\nAnswer: 258*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -740*x**6 - 73*x**2 - 1.\nAnswer: -88800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 282 or 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (1 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 585?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/60 - 7*b**4\/24 + b**3\/6 + 8*b**2 + 7*b. Let k(v) be the first derivative of n(v). What is k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-1070)\/20). Let v(s) = -s + 24. Let y(l) = -l + 1. Let j(m) = -v(m) - y(m). Let p be j(13). Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353346755 and 10090?\nAnswer: 5045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4*(-1 + sqrt(175)) + 4)**2 - ((1 + sqrt(175) + -1 - (-1 + sqrt(175) + -1))*3)**2) + 5.\nAnswer: 200*sqrt(7) + 2794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2756 or 2725?\nAnswer: 2756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*(-3)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55061473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 468 + -448. Solve -8*l - 3*j = -10*l - 8, -5*l - w = -4*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 68*g + 4. Let t be v(2). Suppose -3*m - t = -7*m. Which is smaller: m or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*w + 4*u - 6, 4*u - 15 = 5*w. Let g be 105\/25 + 1\/(-5). Sort w, g, 5.\nAnswer: w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 2799, 8, 3 in decreasing order.\nAnswer: 2799, 8, 3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-5 + 2 - -7). Let v = o + -14. Let t(s) = 4*s**2 - 2*s**2 - s**2. Let u(g) = 2*g**3 + 2*g**2 - g. What is v*t(a) + u(a)?\nAnswer: 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose k = 2*m - 2, -5*m = b - 2*m - 12. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 19 - 21 - 59*(-4 + 5)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/8)\/(117\/(-5616)). Suppose 18*f + 84 = l. Let i(a) = -a**3 - 5*a**2 - 4*a. Calculate i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 3, p: 13, v: 1}. What is prob of picking 2 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*a + 9 = 0, 0 = -2*i - 5*a - 0*a - 9. Suppose i*w - 12 = 96. Calculate the remainder when w is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83976 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 4. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*(0 + -4). Let s(f) = 2*f**2 - h*f - 9*f**2 + 2*f. Let v(p) = 6*p - 2. Let i(m) = -47*m + 16. Let t(u) = 5*i(u) + 40*v(u). What is s(t(o))?\nAnswer: -175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + (-6 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16))\/((-9)\/(-60) + 0)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11099805 and 3?\nAnswer: 11099805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (-32 + 37 + -33)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 65. Suppose 18*m - 8*m - 420 = u. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238725 and 450.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxqqqqqqqqxqqqqqqq. Give prob of sequence xx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 4033 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 20. Let p be b(-10). Determine z, given that -p*z - 13 + 2*z**2 - 4*z + 2*z**2 + 53 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-36)\/(-8) - 1). Suppose -3*q + 5*q - 8 = 0. Which is the nearest to 0.1? (a) -0.3 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/176 and 31\/863808.\nAnswer: 863808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(108)*-2)*1)**2.\nAnswer: -120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1276*q**2 + 1110*q**2 + 553*q**2 + 361*q**2 + 196*q**2 to z*q + c + u*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 47 = -3. Suppose -d + 5*w + 5 = 0, -2*w - 5 = 5*d - 3. Find the second derivative of -7*g**v + d*g + 0*g + g wrt g.\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.5 and -1656.\nAnswer: 22356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117*u**2 - 12171*u - 312.\nAnswer: -3*(u + 104)*(39*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 88 = 5*q, 0 = 2*x + x - 2*q - 264. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/13 + 30*j**3\/13 + 24*j**2\/13 - 392*j\/13 + 480\/13 = 0.\nAnswer: -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3038 - -0.3. What is y rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*o - 97299 - 56313 = 550*o + 1574*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173331968 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*a**2 - 26*a**2 + 55*a**2)*(4*a - 4*a + a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12*s + 2*s**3 - 10*s**2 + 13 - 2*s**3 - s**3. Let i be v(-9). Let p = 61 - i. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 10.32902 millilitres?\nAnswer: 0.01032902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:28 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263 and 42330113?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -111?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000258204151 to seven dps.\nAnswer: 0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 110?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5134.\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:32 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22. Let m = 39 + -27. Let z = -16 + m. Which is the second biggest value? (a) 1\/7 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 490148, 490148, 490146, 490142?\n\"Answer: -s**2 + 3*s + 490146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71173 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 204*c. Let o(z) = 2*z + 14. Let l(a) = 2*a - 3*a + 0*a - 6. Let j(k) = -14*l(k) - 6*o(k). What is j(q(b))?\nAnswer: 408*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231*p + 2 = 1232*p. Suppose -5*v + 3973 = -x, 5*v = p*x - 4*x + 3964. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/25213 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 25 (b) 6 (c) 673 (d) 1\/5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 421. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3439 + -3441. Let i(s) = s**2 + 6*s + 4. Let h be i(-4). Put h, b, -9 in increasing order.\nAnswer: -9, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8 = -y + n, 0 = 3*y - 3*n + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4494, 5958, 7434, 8928, 10446, 11994, 13578?\nAnswer: 15204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k + 3. Let o(r) = -r + 1. Let h(c) = f(c) - 3*o(c). Let q(m) = -3*m**2 + 7*m**2 - 3*m**2. Give q(h(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*q - 90484, 3*x - 25*q - 67881 = -28*q. List the prime factors of x.\nAnswer: 3, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2244 + 2240. Suppose -3*j - 74 = 2*v, -4*v = -2*j + v - 24. Let m = j + 21. Sort w, m, 5, -12 in decreasing order.\nAnswer: 5, m, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 66 + 3*x**2 - 39*x**2 - 32.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from bananvaavaaaaj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 40*u - 80. Let m be d(-2). Put 0, -14, m in ascending order.\nAnswer: -14, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101244012 (base 5) in base 4?\nAnswer: -1211130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 + 12*n - 3. Let t(m) = 2*m**2 - 7*m - 4. Let y be t(5). Suppose 27 - y = 2*l - 2*h, -2*l = -4*h - 10. Calculate g(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {x: 1, d: 2, f: 11}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 426*t**3 - t. Let a be c(1). Suppose -5*p + 5*w = -a, -2*p + 8*w - 5*w = -170. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.51. Which is the nearest to -1? (a) 2\/9 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:24 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = 38*y - 39. Calculate the highest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/23)*(p\/(p**0*p)*p)\/p*(p**(-3))**32)**(-1\/16) assuming p is positive.\nAnswer: p**(1093\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -z - 1452*v + 1453*v, -2*v + 20 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:42 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/(-42))\/(1353\/(-1722))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 189*r**2 - r + 39. Let i be q(63). Let p(o) = -8*o**2 + 5*o - 5. Let m(s) = -39*s**2 + 24*s - 24. Calculate i*p(u) + 5*m(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.21? (a) -1\/2 (b) -42 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*v - 2, 5*y + 5*v = 9*y - 7. Which is the nearest to 1? (a) y (b) 2 (c) -4\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x - 10. Let j be y(1). Solve -5*g = 4*n - 6, -2*g + 4*g - j = -2*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -94. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 34*w + 26, -27*w + 32*w = -4*y + 178 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10609*v + 307667. What is r(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/((y*y*(y\/y**(2\/3))\/y)\/y*y))\/y)*y)**(-23\/5)*(y\/y**(-2\/3)*y)\/y**1*((y\/(y*y**1*y*y))**(2\/3))**(-10) assuming y is positive.\nAnswer: y**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let m(r) be the third derivative of -r**6\/180 + r**4\/6 - 3*r**2. Let t(d) be the second derivative of m(d). What is t(h(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 - 13*u + 10. Let l be v(6). Let j be ((-3)\/4)\/(12\/(-8)). Factor j*g - 1\/2*g**3 - 1\/4*g**l + 0*g**2 + 1\/4.\nAnswer: -(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.4372 - -0.4372. Which is the closest to v? (a) -2\/5 (b) 1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:28 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 253258 a multiple of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 - 6*k**2 + k + 8. Suppose -4 = -4*y - 28. Let i be m(y). Let l be 10\/55 - i\/(-22). Round l to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + 2517\/7551*(1 - (-1420)\/101)\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.05 - 1. Let l = 1.05 - v. Which is the nearest to l? (a) 0 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4270878 is divided by 173.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyci when four letters picked without replacement from iicygg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 17. Let d = 55\/2 - o. What is the closest to -0.2 in -0.3, d, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -826166*i*o**5 + 547*i*o**2 - 40657*i + 29*o**6 wrt o.\nAnswer: -49569960*i*o**2 + 3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91434859?\nAnswer: 19, 349, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, h: 4}. Give prob of picking 2 j.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*s + 4*s + 3 = 0, 4*v - 5*s + 19 = 0. Which is smaller: -1\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 68984 + 69166 - 138150 + w**2. Let l = 41 - 25. Let h(m) = -l*m**2 - 3*m + 3*m. Give h(q(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*w**4 - 256*w**3 + 656*w**2 - 277644078*w.\nAnswer: -1380*w**2 - 1536*w + 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -33*j**2 - 3*j - 2. Let k(y) = 100*y**2 + 10*y + 7. What is -2*k(w) - 7*l(w)?\nAnswer: 31*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190 - 211 - (10 - 49).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22104665?\nAnswer: 5, 11, 401903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 1. Let b(l) = -22*l - 39. Let j(k) = b(k) + 6*p(k). Differentiate j(y) with respect to y.\nAnswer: 12*y - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/18 - -1 - 2\/6. Solve -3*d + 4*r = -2*d + 14, -4*d + z*r - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 4771.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Suppose 2*o + 5*t + 22 = t, t + 4 = o. Let k be q(o). Suppose k*j - 12 = 3*j. Which is the nearest to 2\/5? (a) -0.4 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -6 + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6140 = -3*y - 4*q, 27 = 5*q + 2. Suppose 0 = -24*g + 9*g + y. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-7)\/(-14))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -348.\nAnswer: -45\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8*-6 + 23. Let h be 1\/(3\/v)*3. Calculate the greatest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w - 3*t, -8*w + 24 = -4*w - 5*t. Let j be w\/(-10) + (-38042)\/(-20). Let y = 1857 - j. Find the common denominator of y and 17\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5514*v**2 - 5413*v**2 - v + 5*v + 10924*v**2.\nAnswer: -3*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - (7 - (-4)\/(-1)). Suppose -a + 2 = -2*u + 2*a, j = u + 2*a. What is the highest common divisor of 20 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-10)*10\/(-4). Suppose -w + 0 = -2*l. Suppose 5*j - 11 + 2 = -2*m, -m - l = -4*j. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 11*o - 26. Suppose -11*a + 378 = -4*a. What is the smallest common multiple of a and o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*y + 35 = 0, y + 80 = -24*t - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a millennium?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g + 1. Let y be o(6). Let t(u) = 3*u**2. Let a be t(y). Solve a*f = f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:11 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 837.967 and 0.5.\nAnswer: 418.9835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/140*-10*-1*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*g + 2*i, 0*g + 4*g - 50 = -5*i. What is the remainder when 47 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/480 - h**5\/40 + 3*h**4\/32 + 27*h**2. What is z in p(z) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -825305\nAnswer: 825302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185477739.\nAnswer: 3, 61825913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 370050?\nAnswer: 1480200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0. Let a = s - -0.3. Let j be (84\/(-20))\/(-7) - 168\/30. What is the nearest to a in -5\/3, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241562 divided by 449?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**3 + 2*z**2 - 1. Let x be y(-1). Is x less than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 + 133*d - 929. Calculate b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (-2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 42. Let h(z) = -3*z + 21. Determine -5*h(d) - 3*n(d).\nAnswer: -3*d + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36511779 and 30.\nAnswer: 365117790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2, -2*z - v = z + 1. Suppose -4*s + 3*r + 8 = -1, 0 = 5*r - 5. Solve -4*u + s + 9 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23443023 - 11?\nAnswer: -23443034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - 203\/(-63). Suppose -b*u - 4*r = -u - 16, r = 4*u + 4. Let j(q) = -q**2 + u*q**2 + 9*q**2. Let p(f) = -f**2. Calculate j(p(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 5*g**2 - 9*g - 17. Let c be w(-3). Which is smaller: 5\/381 or c?\nAnswer: 5\/381","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.08977 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -63, -141, -251?\n\"Answer: -16*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192133611.\nAnswer: 3, 1669, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2 - 1 + 3 - 1. Let o(j) = -3*j - 2. Give -o(k) + 4*z(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.92, 0, -2\/57, -0.4 in descending order.\nAnswer: 0, -2\/57, -0.4, -4.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) 2029 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 690379.\nAnswer: 6\/690379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2*o**4 + o**3)*(-2*o - 2*o + 2*o) + 0*o**5 + 2*o**5 - 3*o**5 - 19*o**2 + 19*o**2 + o**5 + 0*o**4 + 0*o**4 - o**5.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + (-92 - (12 + -101))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/801 (b) 7\/3 (c) -1\/5 (d) 3\/7 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1\/6, 28\/61, 2\/15, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 + 8 = 0. Let w(t) = 17*t**2 + t. Suppose 14 = -2*i + 18. Let g be w(i). Calculate the highest common divisor of g and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 - 38*w**5 + 86*w**5 - 36*w**5)*(-2 + 3 - 4).\nAnswer: -36*w**5 + 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 3. Let x be c(-5). Let q = 19 + x. Let w(p) = 3*p**3 - 5*p**2 - p + 10. Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1377)*(939\/2504)\/(3\/(-24)).\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -14*b**3 + 31*b - 6. Find the first derivative of i(a) wrt a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - -1) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152279?\nAnswer: 29, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*o = 103*o + 3. What is the nearest to -0.1 in -0.3, o, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215427604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 (base 13) in base 15?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 - 61. Suppose 0*k = 2*k - t. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 + 0*u**3 - 2*u - 64 + 64 - 7*u**4 as c + f*u**2 + h*u + s*u**3 + d*u**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*t = -4632, 8*f = 5*f + 4*t + 6971. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y - 12. Let n be w(1). Let k(b) = -4*b + 3. Let z be k(2). Sort -7, n, z in decreasing order.\nAnswer: n, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -148.889. Let n = g - 9.911. What is n rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 11:37 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 3. Let b(z) = -4*z - 11. Let h = 32 - 41. Let x(f) = h*p(f) - 2*b(f). Let n be x(-5). Solve n = -4*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -i - 33, -5*c + 3*i = -8 - 75. Let g = -10 + c. Suppose -j - g = -3*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 11*l**2 - 9232*l + 73740. Determine n(8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.2 (c) 677 (d) 1\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805601147 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: What is -1.4 times -370?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 27*b = 0. Let a(o) = o**3 - 12 - o - 8*o**2 + b*o + 3*o. Calculate the remainder when 16 is divided by a(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10306939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1083, -1090, -1109, -1146, -1207, -1298, -1425, -1594?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 - 130. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -1240, -2768, -4896, -7618, -10928, -14820?\nAnswer: -19288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 61, 104?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -45*a + 182. Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1*-4 + 3). Let b be (-1 - 0)*(1 - r). What is the first derivative of -8*i**2 + b + 5*i**2 + 4*i**2 wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27111?\nAnswer: 3, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-129)\/(-30) + (-27)\/90. What is the tens digit of ((-136)\/20)\/(o\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728159777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31206 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*v + 64, 2*c - 58 = -3*c - 2*v. Let f = -6 + c. Let g(l) = -l + 1. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100 and -4968755087307.\nAnswer: -4968755087207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*(sqrt(189)*2 + sqrt(189) + sqrt(189)) - sqrt(189)))\/((sqrt(108) + sqrt(108) + (sqrt(108) - -2*(sqrt(108) + (sqrt(108) - 2*sqrt(108)))))*-3).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 14*a**2\/13 + 84934*a\/13 - 24268\/13 = 0?\nAnswer: -6067, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9 = 3*y, 2*y - 13 = -0*t + 5*t. Calculate the remainder when 5 is divided by 1\/(((-6)\/(-4))\/((-3)\/y)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/30 - 4*k**2. Let h(r) be the third derivative of r**4\/24 + 4*r**2. Give t(h(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + 138 - 261 - (58\/(-5) + 2)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133842 to the power of 1\/2, to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*n = 3*m + 357*n + 15, 0 = -2*m - 4*n - 26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582410 = -44880*h + 12816*h - 43909 + 17103 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2668 + -1857. Let i = s + -5. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 598\/4 + (-3)\/(-6). Suppose 0 = 2*q - 3*q - 3*w + 71, -2*q - 3*w + i = 0. Is (-4)\/(-22) + 84609\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 3. Let j be -4 - (7 - 6)\/(0 - -1). Let x(l) = -2*l - 3. Give j*x(n) - 4*s(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1984 + 1994. Solve 0 = 3*g + 4*n - 3 + 7, 0 = -2*g + n - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*v - 67 - 293 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1591*v - 20 = -5*m + 1596*v, -2*v - 10 = 0. What is the second smallest value in -19, m, 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280.01 + 279.089836. Let b = 3.9 - 4.82. Let i = u - b. What is i rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041.1 - 1041. Suppose -5*g + 4*o - 2*o - 21 = 0, -2*g + 3 = 3*o. What is the nearest to -1 in z, g, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - l**4 + 2*l**4)*(1 + 2 - 4) + 22*l**4 - 9*l**4 + 18*l**4.\nAnswer: 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 204. Suppose 4*y - 4 = d. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 344 + -2405\/7. Which is smaller: 547 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141182233 + 3?\nAnswer: -141182230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.034 and -53101.\nAnswer: 1805.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12474 = -281*p + 8259 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 28*a - 17680*a**3.\nAnswer: -17680*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202104104 (base 5) to base 3.\nAnswer: 22212220220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = g - 32492, 97*g = 3*a + 103*g - 24390. What is the greatest common factor of 786 and a?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from pbpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 2*j**2 - 6*j**2 - 12*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfddddmdffdd. Give prob of sequence dfd.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 - 13*z + 10. Let p be h(-7). What is the biggest value in 0.08, -3, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 0.4 (c) 5 (d) -3 (e) -2\/89 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1447, 2897, 4349, 5803?\n\"Answer: r**2 + 1447*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -32*d**3 + d**2 - d. Let a be c(1). Let y be a\/(-3) + (-4)\/6. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -19*l - 2. Let b(m) = -9*m - 1. Let h(n) = 9*b(n) - 4*r(n). List the prime factors of h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-4)\/((-176)\/(-6))). Suppose -5*i - 20 = 0, -3*i - i = -5*y + 1226. Let f be (y\/(-3))\/(7\/(-21)). Calculate the highest common divisor of n and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -63, -56, -49?\n\"Answer: 7*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38215159, -76430325, -114645491, -152860657, -191075823, -229290989?\n\"Answer: -38215166*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -0*t. Is 4 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42379?\nAnswer: 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(125)*-2*-5 + 1).\nAnswer: 15 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/90 and 4\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Suppose 3*j - 8*j = -30. Let g(n) = n**2 - 4*n**2 + 4*n**2 + 6*n - j. Let v be g(-8). Let y(w) = -w**2 + 5*w - 5. Calculate v*u(m) + 2*y(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 133. Suppose x*h = 6*h + 75. Let f(k) = k**2 - 6*k + 0*k - 2*k + 7. Give f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -698\/5021291?\nAnswer: -698\/5021291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 825 and 18.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pss when three letters picked without replacement from {p: 1, b: 1, d: 1, s: 2, r: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f. Let j(q) = -69356*q. What is o(j(t))?\nAnswer: 208068*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*w + 123, 2*g - 73 = -2*w - 1. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -18 + 12 + 7 - o. What is the smallest common multiple of w(-6) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*n**3*z + 4*i**3*n*z + 97*i**2*n**3 - 2*i**2*n - 29*i*n**3*z - i*n**2*z + 748*i + 3*n**2 wrt n.\nAnswer: -6*i**3*z + 582*i**2 - 174*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -1148, -3, 2048 in ascending order.\nAnswer: -1148, -3, 2, 8, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 10*x**2 + 5*x - 46. Let b be m(10). Suppose 5*p - 4*c + 7 = 2*p, b*c - 19 = -p. Solve -v + 28 = -5*w, 2*w - v + 4 = -p*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(432)*5 + (sqrt(13) + 3*(sqrt(13) + 1))*-1.\nAnswer: -19*sqrt(13)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b**2 + b + 1. Let r(j) = j**3 + j**2 - j - 1. Let q(x) = -3*r(x) - 4*z(x). Calculate q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 30*v + 2. Let d(c) = 62*c + 5. Let i(k) = -7*a(k) + 3*d(k). Let w be i(-1). Suppose 4*u = -3*z + w + 358, -2*u + 4 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*w + 2*w**3 + 6 as n + g*w**3 + y*w**2 + q*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1623 + 973. Let o = 649.9 + q. Let m be 0 - 0 - 2\/(-7). What is the nearest to o in 5\/6, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -775, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -43*r**2 + 37*r - 4. Determine i(2).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59230 * -1.09.\nAnswer: -64560.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11702197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkdjk. Give prob of sequence jkk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4 (b) -2\/103 (c) -5 (d) 9\/7 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2117234 (base 10) to base 16.\nAnswer: 204e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkt when three letters picked without replacement from lvvrrrkkvvvrltvrvvvt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 19 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*a + 520, 2*b - b - 4*a = 236. Let q = b - 106. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5\/3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 76035790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -0*d. Find the common denominator of (-41)\/d - 2\/(-4) and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4cd (base 15) to base 13.\nAnswer: -661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(-35 - 4). Let j = 16 + -4. Suppose -n = -v - j. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 0*z + 1 - 8*z + 5*z - z. Let i(h) = h. Calculate -6*i(k) - o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-7))\/4)\/(364\/(-6370))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6*i - i - 23, -3*i + 3 = -3*u. Let a be (78\/9)\/((-2)\/(-3)). Suppose 9*v = a*v + 16. Sort -5, i, v in descending order.\nAnswer: i, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -13*s - 31 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23622 and 191262?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*k**3 + 10192*a**3*k - 6*a**2 + 5*a*k**3 + 109057*a*k wrt a?\nAnswer: -6*a*k**3 + 61152*a*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5852 less than or equal to -6127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 59*b - 7. Let v be s(2). Let f = v + -92. Solve 5*g + f + 1 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*p + 35 = 0, -52 = 14*y - p - 542. What is the remainder when 699 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 1 = 3*g. Let d be g*(6\/4 - 2). Suppose -3*y + 17 = 5*v, -d*y - v + 24 + 1 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, -272, -1149, -2948, -6005?\n\"Answer: -56*s**3 + 43*s**2 - 28*s + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182954971?\nAnswer: 19, 9629209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 + 2*g**5 + 3*g**5 + (4*g - 2*g + g)*(-g**4 - 3*g**4 - 11*g**4))*(7 + 4 - 4).\nAnswer: -294*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g**2 + 17*g + 9*g - 23*g as i*g + m*g**2 + c and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -351.\nAnswer: -351.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + r + 21, 4*b + 26 = 2*b + 4*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(0 - (-56)\/(-32)). Let f = 3.07 - 0.07. Let w = f - 3.1. What is the closest to c in -5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1029528038*g**2 + 261782041*g?\nAnswer: 2059056076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -1\/15*w**3 - 1\/5*w + 1\/5*w**2 + 4. Factor b(t).\nAnswer: -(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 1\/8*a**4 - 4\/3*a**3 + 0 + 0*a + 2*a**2. What is the tens digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6*0)\/(-2 - -1). Let x = 169 + -1009\/6. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 5300.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37808\/11, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, -37808\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(304)*1)**2 + (-2*sqrt(304) - sqrt(304))*-2 + -4.\nAnswer: 24*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*b = 5, -1477*m - 5*b = -1482*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26656*c + 360 = 26652*c, -4*k + 3170 = -35*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 888, 3582, 8082, 14394, 22524, 32478?\nAnswer: 44262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199.9938 - -200. What is t rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-18) - (-6)\/(-27). Let c = -6336.8 + 6337. What is the closest to q in 17\/5, c, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 144718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0.1019, 3 in increasing order.\nAnswer: -5, 0.1019, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 16. Let u(w) = d*w + 30*w - 56*w. Let b(k) = 4*k. What is b(u(n))?\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 620 and (-993)\/(-2) - (84\/(-8) - -11).\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 9 - 10)*(-1 - 1 + 13)*(-4*g + 1 + 6*g - g).\nAnswer: -649*g - 649","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 45, -2, 1\/20, -12?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 - 2*x**3)*(-280 - 6*x**2 + 280) + (x**4 - x**4 + 2*x**5)*(-2 + 3 - 2).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1182, -2395, -3610, -4827, -6046?\n\"Answer: -v**2 - 1210*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2 + 79*q - 490*q**2 - 79*q + 527*q**2. Let f(z) = -z**2. Determine m(f(l)).\nAnswer: 37*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 + 4*p - 3. Let t be d(3). Let n(a) = a**3 + a**2 - a + 3. Let l be n(t). Determine u, given that -u - 4*u**l + 3*u**3 + 2*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 62 = -31. Let j be 3\/(6*(-1)\/16). Let f = x - j. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 48. Suppose l*g - 1428 - 111 = 0. Suppose 9*z - g = -0*z. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9 + 2*v**2 + 12 - 6 + 2*v - 3*v. Let l(f) = -9*f**2 + 4*f + 13. Calculate -6*l(p) - 26*x(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 91602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {k: 1, t: 3, l: 5, j: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c - 3. Let o(v) = -7*v + 2 + 31*v - 4*v - 7 - 1. Give -5*h(s) + 2*o(s).\nAnswer: -10*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 5, -15582 in increasing order.\nAnswer: -15582, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = -4*y - m, 6*y - 10*y + 1040 = -4*m. Differentiate 221*j**4 - 61 - 70 - 164*j**4 - 150 + y*j**4 wrt j.\nAnswer: 1256*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3947*b + 3426*b - 7292*b.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61923326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j - 2. Let d(m) = -5 - m + 2 - m + m. Suppose 0 = -4*w - 20. Let q be d(w). Calculate y(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 37 = -92*p + 38 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3554 - -1?\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -554*f**2 - 361.\nAnswer: -1108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b - 26. Is 26 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:02 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - r = 7 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -27 + 2 - 10*k + 9. Let n(i) = 4*i**2 - i. Let x be n(1). Let w(f) = 2*f + 3. What is x*r(b) + 16*w(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-15)*(-165)\/(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 1.1. Let z = 0 - -0.1. Put n, z, 0.05 in decreasing order.\nAnswer: n, z, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-0.16\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 996220260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -52*r**2 - 3. Let f(g) = -51*g**2 - 4. Calculate 4*f(i) - 5*j(i).\nAnswer: 56*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -841*c + 93120. Determine a(110).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 12*b - 9. What is the least common multiple of 32 and m(-13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677837, -1355675, -2033513, -2711351?\nAnswer: -3389189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 3*z + 1188. What is the tens digit of x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**3\/4 - 7491*z**2\/4 - 44274*z + 18009 = 0. Calculate z.\nAnswer: -23, 2\/5, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.96 (b) -0.3 (c) -2\/221 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2572155.8 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-315)*(21\/36)\/(20\/(-80)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 + -8) - 0 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (147\/2)\/(15\/30)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6552138.\nAnswer: 1\/1092023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2360 and 15278345.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2 - 276*c + 99. Calculate g(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893141151?\nAnswer: 359, 8058889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 567, 4, -1\/3, 4\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.52 - 2.5199256. What is b rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694236039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from xffgxhxgxhfixgqgxif?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317 (base 10) in base 15?\nAnswer: -5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4730\/516 - (2 + 17\/(-6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.556811 * -44\nAnswer: -24.499684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + b**3 - 16*b**2 - b + 0*b + 7 - 11 to the form r*b**3 + i*b + o*b**2 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810394.\nAnswer: 2, 13, 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3753*q + 265. Let k(a) = 1250*a + 88. Let j(g) = -17*k(g) + 6*r(g). Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39929.849 to the nearest 10.\nAnswer: -39930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = 5*w, 3*v + w = -0*v + 16. Suppose -v*o - 28 = -y - 3*o, -5*y = 3*o - 94. What is the smallest common multiple of (-4)\/(-16) - (-46)\/8 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 88 = -5*p - 3*i, 4*p - 3*i - 59 = 0. What is the greatest common divisor of p and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and -49\/358371?\nAnswer: 358371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22112, 44192, 66272, 88352?\nAnswer: 110432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5976140 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 - 299. Suppose i - 5*w = 5*i - 1113, 5*i - 4*w - 1381 = f. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1223*z**2 - 515*z. Let g(h) = -4*h**2 - 2*h. Let u(n) = -6*g(n) + y(n). Find the second derivative of u(r) wrt r.\nAnswer: -2398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -45. Let b = -0.4 + 57.4. Let n = r + b. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Let w be b(2). Calculate the remainder when 10 is divided by 1\/(1 - (-3)\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*s - 3 + 1 - 376*s - 1 + 3.\nAnswer: 82*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ituiittxiiui. What is prob of picking 3 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121022112 - -10?\nAnswer: -121022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 11) to base 3.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -8\/19, -0.2, -7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360 divided by -2503?\nAnswer: 1360\/2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119462 and 112?\nAnswer: 955696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:46 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:21 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2 - -7) + 88 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3 + 117*z - 9)*(8*z**3 - 17*z**2 + 17*z**2) in the form i*z**2 + w*z + o*z**4 + m*z**3 + u and give o.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46982 + -5168079\/110. What is the common denominator of -1\/308 and k?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - v - 1. Let l(s) = s - 8. Let b be l(7). Is h(b) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2, -9.107, 4, 8\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 4. Let c(v) = v + 4. Let l(h) = 6*c(h) + 7*w(h). Let o be l(-7). What is the second derivative of -o*i + i + 0*i + i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 - 3*s**2 - s + 3. What is the remainder when 14 is divided by h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -338, -752, -1334?\n\"Answer: -84*n**2 + 6*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -8 + (-2 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**2 + y**2 + 16*y**2 + 14*y**3 wrt y?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*z - 4, z - 3*z - w + 6 = 0. Solve -3*q - 16 = 2*f - 7*f, -z = -5*q + 2*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1145*t**2 + 6*t + 5. Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 - 582*k**2\/7 + 40833*k\/7 - 109512.\nAnswer: (k - 504)*(k - 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = c - 11, 8*c + 36 = -4*h + 4*c. What is the smallest common multiple of h\/(-22) - 1088\/(-187) and 320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40007\/6 - 6683. Find the common denominator of i and 0 + -1 + (-26)\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6276 - -6270. Is c at least as big as 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(68))**2.\nAnswer: -16*sqrt(17) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -312?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -2\/9 (c) -2 (d) 4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)**(15\/4)*u\/u**(-4)*u\/(u\/u**5*u))\/((u**6*u)\/u**(-6)*u*u**(1\/5)*u*u*u\/(u\/(u**(-4)\/u))*u) assuming u is positive.\nAnswer: u**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13213 at most as big as 13212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 986540.8 days in milliseconds?\nAnswer: 85237125120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11764? (a) 3 (b) -3 (c) 4 (d) 38 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 12. Let g be j(3). Suppose -4*b + 36 = -b + g*m, -4*m = 8. Suppose -149 = -n + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15378, 30763, 46158, 61569, 77002?\n\"Answer: o**3 - o**2 + 15381*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Let k = -8 - s. Let x(n) = -2*n - 3. Let o(j) = -3*j - 5. Give k*o(f) + 5*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/17)\/((h*h\/(h*h\/((h\/(h*h**2))\/h)))\/h))\/((h**(-5\/3)\/h)\/(h\/h**(-1\/3))))**38)**(-29) assuming h is positive.\nAnswer: h**(-147668\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 13}. What is prob of picking 2 q?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + (0 - 1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169532?\nAnswer: 2, 11, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*r - 325*r = -4*m + 12095, -r - 5*m + 12091 = 0. What is the greatest common divisor of r and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/((-32)\/5120*-96)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - ((-1)\/4)\/((-542)\/(-13008))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 5}. What is prob of picking 4 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 516*n + 518*n + 10 = 0, -5*p + 3*n = -15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7007, -14179, -21351?\nAnswer: -28523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637645 is divided by 545879.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/(-4)*(0 + -2). Suppose -2*i = -y - 6, -2*y + 7*y + i - x = 0. Solve -y*f + 11 - 3 = -2*s, -4*f - s = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/90 (b) 3 (c) 2676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + 15*u**2 - 101*u**3.\nAnswer: -101*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 18. Let s be d(3). Sort 6, -1, 32, s.\nAnswer: -1, s, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*((h*h*h**(-1))\/h)\/h*h)**4\/(h**(-1\/6)*h**(1\/12)\/h))**(-49) assuming h is positive.\nAnswer: h**(-5341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 43. What is d(16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -15984982 in increasing order.\nAnswer: -15984982, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(2662) + (sqrt(88) - (sqrt(88)*-1 + sqrt(88) + sqrt(88))))\/(sqrt(99)\/((2*sqrt(99))\/sqrt(11))))**2.\nAnswer: 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/1544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 12. Let p(v) = v - 6. Let o(t) = -2*n(t) + 5*p(t). Determine o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011110110111 + -110?\nAnswer: 1011011110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let s(d) be the third derivative of -3*d**4\/8 + 27*d**2. Determine v(s(n)).\nAnswer: -162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12b2 + 4?\nAnswer: 12b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 11. Calculate d(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15*a - 19*a + 110, 2*a = -3*j + 62. Let p(d) = -17*d - 7. What is the smallest common multiple of j and p(-5)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -647 - -653. Let o(q) = -q**2 + 4*q - 4. Determine o(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(0*d**5 + 0*d**5 + 3*d**5) - 2*d**5 + 0 + 0.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -153035480 divided by 9745\nAnswer: -15704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9448*b - 6382*b - 7041*b to w*b + l and give w.\nAnswer: -22871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4 - 11\/3*m + 1\/3*m**3 - 2\/3*m**2 = 0?\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -187, -311, -435, -559, -683?\n\"Answer: -124*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -33*i + 37 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152106*b + 152126*b - 40 = 0. Let l be (-1 + 2 - -8) + -1. What is the highest common divisor of b and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v. Let k(i) = -i + 0 + 9 - 18. Calculate k(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**4 + 92*c**3 + 286*c**2 + 408*c + 162. Let b(l) = -7*l**3 + l + 3. Let w(t) = -6*b(t) - s(t). Factor w(d).\nAnswer: 2*(d - 30)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j - 26*j + 74*j - 21*j. Let r(c) = 91*c. What is w(r(g))?\nAnswer: 182*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4673*h + 438*h**2 - 1553*h - 1561*h - 1559*h as f*h + t + s*h**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8078038497 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 479411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1042, 12, 1, 0, -90 in decreasing order.\nAnswer: 1042, 12, 4, 1, 0, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3542 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 4541 + 2637 + 5*i**2 + 1904.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let p be (-10)\/45 + 2 + 32\/(-18). What is the second biggest value in p, -4, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3 + 13*j**2 + 4*j + 0*j + 41. Let a(q) = q**2 - q. Let u = -4484 - -4483. Let c(t) = u*k(t) - 4*a(t). What is the derivative of c(o) wrt o?\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 378, 567, 756?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22301.80831 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r = -52 + 132 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6716 = 2*n, 4*n - 2*c = -7147 + 20585. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-5\/3))\/(x**(-4\/3)\/x)*(x*x**(-2\/5))**(-4) assuming x is positive.\nAnswer: x**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 20*z**4 - 24*z**4 + 4 + 49*z**4 + 3*z**3 - 16*z**4 - 2*z**2 - 2*z to the form a*z + n*z**3 + s*z**4 + w*z**2 + q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y - 3. Let t be j(-1). Let w(r) = 319*r + 3. What is the hundreds digit of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5656, -5 in decreasing order.\nAnswer: 5656, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-16 + 290\/18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759193?\nAnswer: 759193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.2005 + -0.1405. Let h = v - 15. Let q = 188 - 192. What is the third smallest value in 2, q, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120012 - -220222011?\nAnswer: 1002112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-6)\/48)*-4. Let u(l) be the first derivative of -4*l**2 - k*l**4 + 4 + 0*l - 8\/3*l**3. Factor u(p).\nAnswer: -2*p*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/202 and -149\/606.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -2, -4, -32 in descending order.\nAnswer: 7, -1, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 19452136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t + 6*t - 26 + 88 - 41 - 21.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + w - 2 - 1)*(28 + 15 + 29) + ((-8 + 4 - 2)*(4 + 6*w - 4) - w - w + w)*(1 + 0 + 1) as g + l*w and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.464 or 6?\nAnswer: 0.464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1385 + -1381. Put -2\/9, 3, r, -24 in descending order.\nAnswer: r, 3, -2\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140178 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 63. Let j be m(-50). Solve -j*l = -119*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*m = -58 - 4147 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i + 7. Let b be 0 - ((i - 6) + 2). Let n(v) = -b*v + 16*v - 6*v - 10*v. Let o(a) = 4*a. Calculate o(n(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = l - 12, -2*c = -l - 2 + 23. Suppose 3*a = 2*a + l. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 26 + 14. Suppose -v*k - 69 = -81. Let i(j) = j**2 + 4*j + 4. Let m(l) = l**2 + 3*l + 3. Let w(s) = -4*i(s) + 5*m(s). What is w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-178 - -179)\/(2\/2112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.65122 seconds in hours?\nAnswer: 0.04323645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/84 + 441\/(-2646)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**5\/90 + i**3\/27 - 3*i + 5. Let c(z) be the first derivative of w(z). Find k such that c(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 2, -5, 2\/9, -44 in ascending order.\nAnswer: -44, -5, -2, -0.3, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 383 - 130. Suppose 4*v + l = u, 2*u - 3*v = v + 502. Suppose -z + u = -k, k = 4*k + 6. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -15. Let w = g - -7.06. Let n = -0.14 - w. Which is the third biggest value? (a) n (b) 0.04 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0 - 7\/6*h**3 - 3\/4*h**5 + 0*h**4 + 0*h**2 - 17*h. What is the second derivative of w(z) wrt z?\nAnswer: -90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 96, 162, 230?\n\"Answer: u**2 + 61*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 5, c: 5}. What is prob of picking 1 o and 2 d?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103238, 207105, 310972, 414839, 518706?\nAnswer: 622573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4528000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7134215 + -3414215. What is a rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 4 + 0 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 1 + (8 - 5). Suppose l*m + 6 = 34. Solve -5*p = -4*t + 2 + 7, -m*p + 2*t - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 22 = 2*g + 5*a, -3 = 5*g - 2*a. Suppose 163*o + 56*o = -424*o - 345*o. Put 20, o, -4, g in ascending order.\nAnswer: -4, o, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 18 = -5*q + 4*q, 0 = 5*q - x - 160. Let s be (-6876)\/(-216) + 0 + (-2)\/(-12). Let t(a) = q*a - 63*a + s*a. Let o(p) = 4*p. Calculate o(t(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 6*b - b + 3*b. Let h(j) = -2*j**2. Determine h(u(m)).\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (sqrt(396)*2 - sqrt(396)) + (sqrt(396) + -1 - sqrt(396))*3 - (-3 + -3*(2 + sqrt(396)*-1)))**2 + 1.\nAnswer: -96*sqrt(11) + 1601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1648*f - 341029. Determine r(-207).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18.04, 2\/5, 0.05, -3, -0.43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -59, -133, -237, -371, -535, -729?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5 = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 9*g + 12. Put -5, -3, 4, g in ascending order.\nAnswer: -5, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -940, -3560, -6180, -8800?\nAnswer: -11420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*n**3 - 17*n**2 + 29*n**3 - 60*n**3 - 2*n - 2 as v*n + a + o*n**2 + y*n**3 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y**3 + 5*y**2 + 3*y - 4. Let h be m(-3). Let c = -2319\/11 - h. Suppose 3*u + 15 = -2*u. What is the third biggest value in u, 0.5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -0.08924.\nAnswer: -1.87404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.349 (b) -2\/87 (c) 1\/11 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 966996, 967041, 967086, 967131, 967176, 967221?\nAnswer: 967266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.999823 - 19. What is f rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 10215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -6\/13, 296\/9 in increasing order.\nAnswer: -1, -6\/13, 4, 296\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*y - 32, -2*y + 2433575 - 2433577 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 680728\/2363 or 289?\nAnswer: 680728\/2363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 57\/6596?\nAnswer: 57\/6596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 2. Let u be t(-5). Is 8 a factor of (u\/5)\/(15\/75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7686\/732)\/((-12)\/(-2))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + n + 3. Let d = -2 - -4. Let q be k(d). Calculate the highest common divisor of 65 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.1 times -941?\nAnswer: 24560.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9173*r + 906. Does 28 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*n + 207*f**2*o + 1039*f*n*o**2 + 3*f*o**2 + o**2 wrt n?\nAnswer: 2*f**2 + 1039*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1699*x - 12174. What is i(-7)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 480944355 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 178, 167, 156, 145?\n\"Answer: -11*r + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -45981820104 and -1.\nAnswer: -45981820105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1494?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/((-130)\/5915)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 67. Suppose 0 = p - 3, 2*p - 206 = -3*a + k. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241167 = 50*s + 18267. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (111\/((-26307)\/(-316)))\/((-4)\/105)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {p: 1, z: 6, a: 5, r: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*b = -3, -2*b - 1 - 1 = -v. Suppose 3*g + 32 - 35 = v. What is the remainder when 9 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (1 - 1) + 5. Suppose 2*d = h - 2, 0*d - w*h + 10 = 2*d. Suppose -v + 2 = -d*v. Solve -v*m - 2*s = 1 - 3, m + 3 = -3*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((203\/(-56))\/29)\/((-1)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*f*i**2*x - 5*c**2*f*x - c**2*i**2*x**2 + c*x + 2*f*i**2*x**2 - 12*f*x**2 wrt x?\nAnswer: -2*c**2*i**2 + 4*f*i**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 212*s**2 - 1879*s + 219234. Give k(216).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 12 - -7) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2144, 8597, 19334, 34337, 53588, 77069, 104762?\n\"Answer: -3*h**3 + 2160*h**2 - 6*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/6 - 22*a**3\/3 - 135*a**2 - 9384*a. Solve v(g) = 0.\nAnswer: -5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 921*i**3 + 16*i**2 - 8*i. Let p(u) = -17500*u**3 - 308*u**2 + 154*u. Calculate 77*g(f) + 4*p(f).\nAnswer: 917*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/25)\/((16\/80)\/(3\/15))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1028*d - 307*d + 36 - 36 + 366*d in the form v + i*d and give i.\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9477, 17152, 24813, 32454, 40069?\n\"Answer: -r**3 - r**2 + 7685*r + 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 68*u**2 - 268*u - 152. Is g(-69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 17 - 59. Let w = n - 20. Let x be w\/(-66)*0\/2. Solve -o + 2*o + 3 = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:50 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57135*-140.\nAnswer: -7998900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263834950.\nAnswer: 2, 5, 7, 73693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272880 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2999*i + 2998*i + u = -28, 0 = -3*i - 4*u - 112 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1518*p - 1587*p + 3106*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 184580\/(-230850) + -5 + (-87)\/(-15). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 13. Let t be 3\/(9\/30 + 0). Let q be j(t). Suppose 0 = -q*s + c + 53, -4*c = -s + 3*s - 40. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -a996?\nAnswer: a999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52663, -51987, -51309, -50629, -49947?\n\"Answer: y**2 + 673*y - 53337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88757682*y**2 + 97548509 with respect to y.\nAnswer: 177515364*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33030 (base 4) to base 16\nAnswer: -3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, -302, -845, -1858, -3497?\n\"Answer: -26*w**3 - w**2 - 44*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.8846g to kilograms.\nAnswer: 0.6838846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-603)\/134*26\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-9))\/(3\/(-9)). Suppose y*h = 289 - 81. Suppose 2*p - h = -0. Calculate the highest common divisor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64361?\nAnswer: 11, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.23 - 51. Let d = t + -0.05. What is d rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*l + 664707 - 15555. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 4:33 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 5.914095?\nAnswer: 2.365638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lai when three letters picked without replacement from lrrncai?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40\/18*46\/345*-18\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.16664 rounded to 1 dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -255 + (20\/(-1))\/(-4). Let w = f + 150. Let j = w + 121. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 - 245 = 11*g. Suppose 2*z = -4*s - 32 - 46, 138 = -4*z + s. Let u = z - g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 267464 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -14. Suppose -14*g + 378 = -8*g. What is the greatest common factor of b and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + -5.93. Let l = -4 - p. Sort -1\/6, -3\/2, l.\nAnswer: -3\/2, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 430*d**2 - d**3 + 11 + 858*d**2 - 428*d**2.\nAnswer: -d**3 - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = 34*s - 10. Let t be 6\/s*(-5)\/2. Solve -7 = t*q + 4*p, q - 3*p + 5*p + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l - 1. Let w(o) = -7*o**2 + 5*o + 5. Let j(f) = 0*f + f**2 + 6 - 3*f - 4*f - 2. Let m be j(5). Determine m*q(s) - w(s).\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*2 - 240\/(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/204, -0.4, 5\/6, -5, 0?\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n**3 - n**2 + 1. Give t(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722032 (base 10) in base 15?\nAnswer: -240372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Let t be (3\/18)\/(2\/g). Let f be (4\/(32\/(-6)))\/3. Which is the closest to f? (a) 3 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -1, -427135, -0.11, -2\/9, -3\/8, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155810342284 - 0.\nAnswer: 155810342284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 9*f**2 + 9*f - 10. Let w(z) = 16*z - 206. Calculate the remainder when w(30) is divided by k(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-24)\/54 - 2. Which is the third biggest value? (a) g (b) -5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-315))\/(2*2\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4842450 or -4842474?\nAnswer: -4842450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 28. Suppose 4*c = -4*a + 16, -4*a - d*c + 43 = -7*c. Calculate the common denominator of (3\/60)\/(a\/826) and -53\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2*h**2 + (h + h + 4*h)*(22*h - 6*h + 10*h) to the form k + g*h**2 + n*h and give g.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1480*o**2 - 40*o**2 - 401 + 1000*o**2 + 401 in the form q + k*o + f*o**2 and give f.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2067 (base 11) to base 4.\nAnswer: -222233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5382.561 micrometers?\nAnswer: 0.000005382561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3567.676 to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/24*2\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r + 7*r**2 - 7 + 2*r + r. Let d be o(-6). Suppose 59 = 2*q - 2*s - 19, -d*s + 78 = 2*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0177248 - -0.0437167. Let z = -620.974 - -621. Let q = z - r. Round q to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 30*v**2 + 97*v + 87. Let f be g(-33). Solve -f = 76*s + 379 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83717009?\nAnswer: 431, 194239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -5 - -1 - -9. Suppose i - 11 = -p*q, q = i - 4*q - 25. Calculate the highest common factor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -5687*y**5\/20 + 4715*y**2\/2 - 4315*y. Differentiate w(p) with respect to p.\nAnswer: -17061*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*b - 13, 0 = -7*j + 4*j + 6. Let m be 11*(b\/(-3) + 2). Let q(n) = 54*n**2 - n. Let l be q(-1). Calculate the greatest common factor of l and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 92*p**2 + 26*p + 92. What are the prime factors of b(-7)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 44*v**2 - 198*v - 49. What is l(-39)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 10*y + 13. Does 16 divide q(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:07 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 = -36*w + 42 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 16*c**2 + 4*c**2 - 34*c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 29, 79, 171, 317, 529, 819, 1199?\n\"Answer: 2*q**3 + 3*q**2 - 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 36*y**4 - 83*y**4)*(-1 + 1 - 2)*(1 + 2*y - 1) + y**5 + 0*y**5 + 7*y - 6*y.\nAnswer: 469*y**5 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/((-12210)\/4440*(-8)\/33)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/(-84)*(-21)\/4)\/(21\/56)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -813, -1829, -3227, -4995, -7121, -9593, -12399?\nAnswer: -15527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 + 754. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 + 1394586*c**4 - 162104581440*c**3 + 7454529359616*c**2 - 77777802584064*c - 186670581571584 = 0. Calculate c.\nAnswer: -2, 24, 232408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*z + 55. Suppose 2*m + 10 = -3*c, -2*c - 3*m + 0*m = 0. Let d be (-4 + 1)*8\/c. Solve l + 2*l = 3*t + z, 4*l = -4*t + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a**2 - a + 7. Let c = 10 - 52. Let i be c\/(-2)*(-2)\/6. Let v be z(i). Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758903?\nAnswer: 89, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/2 (b) -29\/5 (c) 0.02 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41496 divided by 38.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.048?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 436 in 2\/11, -0.6, 1\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3, 2, 0 in ascending order.\nAnswer: -3, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4277, 2602, 927?\n\"Answer: -1675*r + 5952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-5 - t + 5) + 3 - 3 + 2 + 5*t.\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 180130 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 64961*u**3\/2 + 2161107*u**2\/2 + 179190*u = 0.\nAnswer: -33, -1\/6, 0, 10860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d**2 + 5760*d + 86133. Calculate b(-15).\nAnswer: 2883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*z = -813040, 3*a + 30*z - 487838 = 25*z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(2\/4)\/(8 - 7). Suppose -o*d + 47915 = -214085. Round d to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-24) - (-199)\/3 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9314, 9317, 9320, 9323, 9326?\nAnswer: 9329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505*t + 51 = -1522*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 2*a + 2*n + 6, -3*a = 2*n + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -126, -120, -112?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2648 (b) -4.42 (c) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:28 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*g = -9, -r + 5*g + 24 = g. What is the second derivative of 3*c**r - 6501 + 6501 - 14*c**2 - 7*c wrt c?\nAnswer: 36*c**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*x - 123*x + 2240. Solve x*d = 33*d + w - 3, -3*d + 3*w + 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616.58*4\nAnswer: -2466.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s - 127 = 5*j, -15 = 5*j. What is the greatest common divisor of 1064 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3069, -6133, -9197?\nAnswer: -12261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-637)*8)\/((-26)\/91).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 14*y. Suppose 9*w = 3*w + 252. Let a(q) = -q. Give w*a(b) + 3*d(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*-2*sqrt(10))\/(sqrt(6)\/sqrt(3)*3*-4).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -437\/6. Which is smaller: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4845827mm in nanometers?\nAnswer: 484582.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 - 15. Let g(w) = 3*w. Calculate z(g(b)).\nAnswer: -63*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 76 = -4*q, 0 = 5*q + 4*a + a + 125. Let d = q - -8. Let g = d - -80. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81\/14 - 19\/7. Let f = p + 9. Do f and 1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18966*d**2*s**2*x**2 - 2*d*s**2*x**2 + 3*d*s**2*x + 5*d*x**2 - 6*s**2*x + 2*s**2 wrt d.\nAnswer: -37932*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10cb2 (base 13) in base 15?\nAnswer: 918e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 - -2) - (-11 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 98, 93, 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -105?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22408843 is divided by 528.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 10. Let q be o(12). Suppose -5*n - 5*s = 5, -n + q*s - 10 = 3. Let u(r) = r**2 + 8*r + 21. Let j be u(n). Solve -c = -j*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65\/4 - (-2)\/(-8) and (-171)\/(-30) - 18\/(-60).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 14*v - 10. What is a(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2\/5 (b) -1\/9 (c) 0 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**6*c*c*c\/((((c*c**(-17))\/c)\/c)\/c)*c*(c*c\/(c\/(c*(c**(-1\/19)\/c*c)\/c))*c)\/c**9)**11 assuming c is positive.\nAnswer: c**(5005\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(36\/(-54) + (-2)\/(-6)). Let j = h + 11. Suppose c - 14 = 3*k, -2*k - 8 - 2 = -c. Solve -5*p = -c*a - 11, j = a + 2*p - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0 + 15 = -4*m, 3*m - 5 = -o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 + x - 11. Let a be q(6). Let g be (-3 - -1)*a\/5. Suppose 40 = g*w + 10. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 + 11355*v + 58386933\/8.\nAnswer: 3*(v + 657)*(v + 29623)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*h - 155 = -78, -4*c - 5*h = -58. Let g(b) be the second derivative of -3*b**2 + 1\/4*b**4 - c*b + 0 - 1\/20*b**5 + 4\/3*b**3. Determine g(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*i - 155*i - 194*i - 155*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 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: Let u = -39654\/17 + 5269596\/2261. Let z = 1143\/5320 + u. What is the common denominator of z and -39\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1885, -3770, -5655, -7540, -9425, -11310?\nAnswer: -13195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dadm when four letters picked without replacement from yddmzmmzam?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2))\/r)\/r*r*r**(-2\/37)*r**(-3)*r**(-6\/5) assuming r is positive.\nAnswer: r**(-232\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1957 and 83?\nAnswer: 162431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) - (-6 + (-65)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + (0 + -6 - -7) + 13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.93, -5 in increasing order.\nAnswer: -5, -4\/9, 0.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640988019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 t when three letters picked without replacement from xereeheaxreteeex.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 1:18 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 14. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82162, 82164, 82166?\n\"Answer: 2*s + 82160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -1439*u**3\/3 - 1988*u**2 - 252*u + 7. What is the derivative of x(z) wrt z?\nAnswer: -2878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 + x**3 - 464*x**2 - 5 + 5 + 5*x**3.\nAnswer: 6*x**3 - 473*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**2*w + m**2 + 119*m*w - 112*m - 120672*w wrt m.\nAnswer: -2*m*w + 2*m + 119*w - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46418436.\nAnswer: 2, 3, 1289401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-300)\/(-12)*(2 + -1). Suppose -999 - 326 = -f*v. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3 - (10 + -6). Let s(o) = 2*o. Determine s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.7, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-672)\/(-72) + 2\/3. Let a(b) = -4*b - 4*b + 4*b + n*b. Calculate a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146150 divided by -2923.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*y + 0 - 3\/5*y**2.\nAnswer: -3*y*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/6 - 17*d**5\/60 + 13*d**4\/12 + 11*d**3\/6 - 33*d**2. Let v(p) = 7*p**3 + 6*p**2 - 9*p - 4. Calculate -6*s(c) - 17*v(c).\nAnswer: c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**6\/3 - 8*f**2 + 5. Find the second derivative of j(h) wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/sqrt(3)) + sqrt(12)*-3.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 47\/16)*6. What is the fourth biggest value in 2\/15, 5, 6, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - 1210594.\nAnswer: -1210594.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 231?\nAnswer: -23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-18))\/(2\/24). Suppose j*f - 3*g = 1191, -4*f + 6*g = g - 2387. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.058 and 0.47?\nAnswer: -0.02726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = -n, n - 5*n = -4*h - 8. Suppose h = c - 6. Let l(t) = -t**2 + 10*t + 8. Let i be l(c). Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 = 106*l + 130 - 262 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248652272 divided by 8.\nAnswer: 31081534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2050579993 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 14 - 6)*(6*m - 6*m**3 - 4*m - 3*m**3) + (-2*m + m + 3*m)*(-m**2 - 4*m**2 + 3*m**2) + m**3 + m**3 - 3*m**3.\nAnswer: -230*m**3 + 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4)*(5 - 1))\/(4979607\/12324 - 404)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 16 = 4. Let s(o) = -o**3 - 4*o**2 - 2*o + 6. Let t be s(j). Find the third derivative of -4*g**2 + 5*g**2 - 10*g**2 - t*g**4 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 10. Suppose -4*u + 570 = 110. Let m(q) = q - u + q + 106 + q. Determine 5*m(o) - 4*r(o).\nAnswer: -o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7224487 less than 83.5558?\nAnswer: -7224403.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -3) + -2 + -1)*1. Let u be (((-221)\/(-39))\/(-17))\/((-3)\/72). Sort 4, u, d in ascending order.\nAnswer: d, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*p**2 - 512*p**3 + 331*p**2.\nAnswer: -512*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-21 - -19) + -19 + 7 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 - 72*s**2 - 370*s + 67. What is l(-8)?\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/66 - (-8)\/(-24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10590598 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 0 - 12\/(-15). Let b = 67.7 + -67.3. What is the closest to 2\/5 in n, b, -2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1143, -1114, -1085, -1056?\n\"Answer: 29*s - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -3)*42\/(-9). Let r be (-4)\/w + (-5)\/(-7). Which is the nearest to r? (a) -0.1 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6960 = -21*j. Let r = -460 - j. Solve -r*y + 4 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 38775.\nAnswer: 116325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 477*s - 3338. Calculate x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**4 + 11*i**3 - 3967948*i**2 - 147054249?\nAnswer: -4*i**3 + 33*i**2 - 7935896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 121. List the prime factors of (1*t - 2) + -6 + 7.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/524 + 1837\/1572. Let o(r) be the third derivative of -1\/24*r**4 + 0*r + r**2 + b*r**3 + 0. Give o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 88. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, 3.65, 18, 2\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 36. Suppose -2*d - 2*k = d + 17, -3*k = -4*d - 34. Let m be r(d). Suppose 0 = -m*p - 29402 - 46198. Round p to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 38244019?\nAnswer: 38244019.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 192 = t. Calculate the remainder when (-3)\/2*t\/(-6) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-8)*-254*1. Suppose m = k + q - 93, 4*k = -q + 865. Suppose -3*t + k = -5*a, -a + 4*a + 385 = 5*t. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 766.44 to the nearest integer.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 0.1 (c) -5\/13 (d) 1944 (e) 0.3 (f) 0.028 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 3565 + (4 - 1). Round o to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1028.9 + 1072. Let g = -45 + b. Let j = -2 - g. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1509201, -6036801, -13582801, -24147201, -37730001?\n\"Answer: -1509200*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68450873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + -1 + (19 - -170) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-2)\/12*(-3)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*d - 87 - 10413 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1. Suppose -3*r - 4*w - 3 = -16, -3*r + 1 = w. Let i(g) be the second derivative of g**3\/3 - g**2 - 36*g + 51. Calculate r*i(c) + 2*d(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 7 - 63*w**2.\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let f = 9 + -9. Let h be i(f). Suppose 9 = k - h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13712 - -1994. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56910 and 14?\nAnswer: 56910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f**3 - 15865*f**2 + 619*f - 129. Give h(206).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.037?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/33)\/r*r**(-11))**14\/(r**12\/(r*r*r\/r**(-4\/7)*r*r))**(-7\/5) assuming r is positive.\nAnswer: r**(-5219\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((34\/8)\/(-17))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**3 - 1781*k**2 + 1671*k + 5 wrt k?\nAnswer: 36*k - 3562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 9 - 8)*(0*x**4 - 6*x**4 + 2*x**4) + x**4 - 3*x**4 - x**4 + (-2*x**3 + 2*x**3 + 2*x**3)*(0*x + x - 2*x).\nAnswer: 31*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13154481 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165209 is divided by 2236?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/2 of a microgram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8442394 * -1\nAnswer: -8442394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 353 = -m + 1034, -2*l - 4*m + 1356 = 0. Let p = 647 + l. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 + 35 + 57)*(3*i - 2*i - 2*i + 1)*(3*i + 1 + 0*i + 1) to the form u + p*i + j*i**2 and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13876601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-8)\/10 - -1). Let q = 5.7 - 6. Let h = -2.7 + q. Sort h, 5, m.\nAnswer: h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -47*(-6)\/18*(0 - -3). Is g > 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 (base 9) in base 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 0*o + o**2 + (2*o - o + 0*o)*(-1 + 2*o + 1) - 4*o + o**2 + 4*o + (o - 3 + 3)*(0*o - o - o) + 17*o**2 + 3 - 3 as c*o**2 + j*o + a and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31047981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 7*u**5\/30 - 9*u**2. Let s(a) = -2*a**2. Determine s(i(o)).\nAnswer: -392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.7 less than -19159?\nAnswer: -18977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(-21)\/(b**(3\/4)\/(b*b\/b**(2\/15))) assuming b is positive.\nAnswer: b**(697\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, 1, 4 in descending order.\nAnswer: 4, 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**6 - 2*d**4 - 17411*d**3 + 5*d**2 - 7755*d - 2 wrt d.\nAnswer: 960*d**3 - 48*d - 104466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251\/20 + 51\/4. Find g, given that -1\/5*g**2 + 2\/5 + j*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:11 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 9. Let z(v) = 29 - 126 + 31 + 30 + 31 - 2*v. Let q(t) = 2*t + 4. Determine o*q(c) - 5*z(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*x + 104, 9060 = x + x + 3*h + 8920 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2 - 1)\/3*0. Let w(b) = 3*b + 7 + 3*b - 17 - 5*b. Give w(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 27 = 246. Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -532*u - 27. Let n(k) = -133*k - 6. Let f(i) = -4*j(i) + 18*n(i). Let c(z) = 148*z - 47*z - 47*z - 56*z. Calculate c(f(d)).\nAnswer: 532*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**2 - 4*i**2 + i + 7*i**2. Let g(t) = 13*t**2 + t. Let h(c) = -5*g(c) + 6*q(c). Let y be h(1). Solve -z + 4 = 2, -y = -4*p - 5*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 q when three letters picked without replacement from {q: 9, s: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/60 - z**4\/4 - z**3\/3 - 9*z**2. Suppose -2*x + 7*x = -25. Let c be t(x). Put -4, c, 0 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 h, and 1 g when four letters picked without replacement from {r: 1, h: 2, t: 4, c: 7, g: 2}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30589 * -85\nAnswer: 2600065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Let b = -5.08 - -0.08. What is the second smallest value in -0.5, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 46.06971 micrometers?\nAnswer: 0.00000004606971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.088 and -3499552.\nAnswer: -3499551.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 55*r**4\/12 - 14*r**3\/3 - 10*r**2. Let q be v(-8). Let f = q - -1597. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -972631, -972648, -972665, -972682, -972699?\n\"Answer: -17*j - 972614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1837, 1363, 883, 397, -95?\n\"Answer: -3*t**2 - 465*t + 2305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0 - 1)\/(-1). Suppose 5*v = -4*o + 116, -5*o + 58 = -u*o - 3*v. Let l(i) = -13*i + 203. What is the remainder when o is divided by l(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -21?\nAnswer: 16\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 12*l - 6 = -4*m, -3*l - 9 = -3*m. Sort 4, m, 17 in ascending order.\nAnswer: m, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjgjwwwwwwjjwwjjwj. What is prob of picking 2 w and 2 j?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -104?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162587077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 141405.\nAnswer: 14140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1174445.39 to the nearest 10000.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7399 + 0?\nAnswer: 7399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16798*k**2 + 9*k**3 + 16798*k**2 + (4 - 3*k - 4)*(k**2 + 3*k**2 - 2*k**2) + (2*k**3 - 3*k**3 + 2*k**3)*(-4 - 3 + 6).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110110100010 (base 2) to base 9.\nAnswer: 17020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)*4 + sqrt(130)\/(sqrt(10)\/sqrt(2)))\/(sqrt(12)\/sqrt(6)*6 + (sqrt(90)\/sqrt(5) - sqrt(2))).\nAnswer: 17*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 52*v + 21970 = 29*v. Calculate the remainder when v is divided by 73.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2925*f + 2925*f + 2*f**3 - 6 - 2*f**2 in the form v*f**2 + n + q*f**3 + s*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*j + 3 - 8*j - 5)*(j + j - 3*j)*(49 + 6 + 1) as q*j**2 + u*j + a and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -15. Suppose 0 = -r*w - 5*w + 40. What is the second derivative of -2*d**4 - 2*d**4 + w*d**4 - 9*d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 652*y - 9409. Calculate v(14).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + b, -3*d - 2*b - 20 + 30 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3684 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k - 597 - 842 = k + 121 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4709 = 3*a, a - 4*q - 1232 - 341 = 0. Suppose -a - 276 = 5*l. Is l smaller than -369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13535225 (base 7) in base 5?\nAnswer: 311111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7432524 and 3303344?\nAnswer: 29730096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.11 + -7.11. Let l = b + 6.0068. Let s = 0.013 - l. What is s rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + 2 + 0 + 0 + (-3 + 4 - 3)*(1 - 4 + 2) + 1 - 4 + 5)*(-z + z + z)*(2 - 2*z**2 - 2).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53778 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019 = 135*s - 557 + 3128 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610646?\nAnswer: 2, 101, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413 divided by -1454.\nAnswer: -413\/1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*m + 18 = 0, 0 = 4*l - 5*m - 24. Suppose o = -3*o + 8, -k + 4*o = 4. What is the derivative of 4 - l*a**4 + 10*a**4 + 4*a**2 - k*a**2 wrt a?\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:54 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -30.25. Let b = q + -3.53. Let p = -4.4 - b. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 + w**5\/20 - w**4\/12 + 2*w**3\/3 - 37*w**2. Determine n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3889 is divided by 553?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c7033 + 4?\nAnswer: -3c702d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -173\/11, -83, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 + 546402?\nAnswer: 546531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 7*k)*(k**2 + 2 + k**2 + 5*k**2).\nAnswer: 14*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/7)*s**(-2\/5)*s\/(s\/s**(1\/2))*s*s**(-4\/5) assuming s is positive.\nAnswer: s**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {z: 1, y: 2, g: 1, j: 6, i: 1, e: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6508752.401 rounded to the nearest 100?\nAnswer: 6508800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.106 plus -0.2?\nAnswer: -4.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 37*y**2 + 15*y + 51. Let x be w(18). Do -7 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 44. Sort -5, 5, -3\/5, g, 6 in decreasing order.\nAnswer: 6, 5, -3\/5, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.71094457?\nAnswer: -0.213283371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + 0*x)*(-3 + 4 + 0)*((2 - 2 - 2)*(3 - 5 + 0) + 0 - 3 + 5).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18 + (132 - 131))\/(2\/54*3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {e: 5, b: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let t(u) = 4*u**a + 3*u**2 + u**2 - 6*u**2. Let q(n) be the first derivative of n**2 - 1. Determine q(t(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d - 10. Suppose 79 = d*w - 2*a, -4*w + 2*a + 56 = -52. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 395 and -57.\nAnswer: -22515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 124*x - 1714. Calculate the smallest common multiple of f(14) and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.103 - 0.897. Sort 2\/15, 0.04, v in descending order.\nAnswer: 2\/15, 0.04, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5254 - -5249. Which is the closest to 3? (a) 0.13 (b) 0 (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -946 + 941.49. Let n = 4.81 + z. Which is the nearest to 25? (a) 1 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = 0, 3*q - 5*j - 2 + 1 = 0. Calculate the remainder when 117 is divided by (3 - (-10)\/(-4))*q - -23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -205*d - 1. Let w(j) = 6*j**2 - 20. What is g(w(k))?\nAnswer: -1230*k**2 + 4099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h = -2*t - 127*h + 83, 0 = -3*t - h + 121. Calculate the remainder when 175 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w**2 + 34*w + 10. What is y(-4)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8638 + -0.0662. Let a = r + -0.07. Let h = -3.1 - a. Which is smaller: -11 or h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405875527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -34, -0.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, -6113, 4, 3 in increasing order.\nAnswer: -6113, -3, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l + 2. Let m be g(4). Find the common denominator of -73\/20 and (166\/m)\/(4\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 2*j - 1. Let x(s) = 42*s**3 - 18*s**2 - 20*s + 62. Let r(y) = -44*v(y) - 2*x(y). Factor r(c).\nAnswer: 4*(c - 2)*(c + 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 1105?\nAnswer: 9945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 10*i**2 + 9*i + 3. Let x = 11 + -20. What is the smallest common multiple of j(x) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 617*m + 545 wrt m.\nAnswer: 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.6. Let g = 0.24 - 0.3. Let w = 0.06 + g. Which is the closest to w? (a) 0.4 (b) -2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + 152*p**2 + 48*p + 223. Let s be w(51). What is the highest common divisor of s and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5121*j**2 - 5279*j**2 + 10429*j**2.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-57590)\/26455)\/(24\/(-66)).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - 2\/(-12)*-9. What is the closest to 2\/5 in 3, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 9*q + 326 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m**3 + 4*m. Let y be a(-3). Calculate the remainder when 14 is divided by 2\/(-10) + y\/60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15304301 + -13?\nAnswer: -15304314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 + sqrt(7)*2 + 4)**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 31*l. Let f = -15623 + 15625. Let g(x) be the second derivative of 1\/6*x**3 + 0 + 0*x**f - 19*x. Give z(g(q)).\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23678 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*p - 7849*l*p**3 - 85*p**3 - 5*p with respect to l.\nAnswer: -6*l**2*p - 7849*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400 divided by 2700?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 + 0*z**4 + 0*z**5 + 0*z**2 + 0*z**6 - 1\/42*z**7 - 4\/3*z**3 - 21*z. Find the second derivative of a(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006081485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z**(2\/55))\/z)\/z)\/(z*z\/z**(2\/25))*(z*z**15*z*z)**33 assuming z is positive.\nAnswer: z**(162832\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5544)\/87230 - 8\/(-244)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.41 rounded to the nearest integer?\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/4 + 2*z**3\/3 - z**2 + 2*z + 6. Let a(v) = v**3 - 5*v**2 + 5*v - 5. Calculate -2*a(s) - 5*y(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 6 (c) 3.654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 11456*z = 0.\nAnswer: -11456, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let b(x) = 8*x**2 + 7 - 7. Give h(b(s)).\nAnswer: -128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -111186110.\nAnswer: -3\/55593055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3699, 7413, 11131, 14853, 18579, 22309, 26043?\nAnswer: 29781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 7. Let f be z(2). Let u be ((-266)\/(-42) + -7)\/(f + -1). Suppose -u*i**4 - 5\/2*i**2 + 7\/6*i**3 + 3\/2*i + 0 = 0. What is i?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 273420\/108 + (-4)\/(-3). Calculate the highest common divisor of r and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l - 1\/25*l**5 + 0 - 1\/300*l**6 + 3*l**2 - 8\/15*l**3 - 1\/5*l**4. Suppose b(y) = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 59, 5\/36, -3\/4, -18?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*a = 15, 2*a = 14*t - 13*t + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21127148*n**6 - 3*n**2 + 58*n + 6173?\nAnswer: -2535257760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.404+533\nAnswer: 533.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 44 = 14. Let y be (g\/3)\/(4*5\/840). Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-13\/3)\/(q**(-1\/7)*q\/(q*(q*(((q*q**5*q)\/q)\/q)\/q)\/q*q*q)*q) assuming q is positive.\nAnswer: q**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612\/153*1\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 5. Let k be 4*(2 + 13\/i). Let s(n) = -3*n - 6. Give s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mamq when four letters picked without replacement from jajjgmqjtmtm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 4*t**2 + 6*t + 2. Let x be h(-6). Let g = x + 173. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11086, -1842, 1 in decreasing order.\nAnswer: 1, -1842, -11086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*o**2 - 6*c*o - 8*c - 6*o**4 + 18*o**3 + 487*o**2 + 6*o + 722 wrt o?\nAnswer: -6*c - 72*o**2 + 108*o + 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110000111001 (base 2) to base 9\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*a = 142*a + 950. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1*3\/(-9)). What is the third derivative of -2*r**2 - 2*r**3 + 7*r**3 - r**3 + s*r**2 wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose -2*x = v*h - 5*x - 19, -4*h = -4*x - 16. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -484332.\nAnswer: -1\/121083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 4 (b) -0.4 (c) 0.034 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 47112579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from dvdvhyvppvhdydphyv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14151 (base 6) to base 12.\nAnswer: -1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 7*s + 5. Let b be i(5). Suppose 0 = g - 4*g + b. Suppose 168 = g*c - 157. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Suppose -3*i = f*h - 0*h - 1, 0 = -h + 2*i + 14. Solve -5 = 3*t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + (-20)\/(-6). Suppose w*z - 10 - 2 = 0. Solve 0*g = 2*g + d + 5, z*d = -2*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and 46643 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14560 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/5 (c) -6 (d) -3\/1100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 5\/12*a**4 + 0*a**2 + 0 + 2\/3*a**3 - 5*a. What is the second derivative of q(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 555*o**2 + 6*o - 14. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(17) + 1 - (sqrt(51)\/(sqrt(3)*-1) - (1 + sqrt(17) + -5 + sqrt(17)))**2.\nAnswer: -173 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, g: 9, c: 1}. Give prob of sequence xg.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -907.6 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -140896496 divided by -16\nAnswer: 8806031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -687.0296 and -2?\nAnswer: 685.0296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/120 - 7*l**5\/60 - 5*l**4\/24 + 4*l**3\/3 + l**2\/2 - 5*l. Let r(i) be the first derivative of j(i). Calculate r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1782)\/990*10\/(-48)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 73*n - 1477. Give b(0).\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6752*t**4 + t**3 + 9*t**2 + 2*t + 1375040 wrt t?\nAnswer: 81024*t**2 + 6*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17524 is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5336871 and 2382?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -1223203 (base 4) in base 2?\nAnswer: -1101011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, x: 3, h: 2}. Give prob of picking 1 h and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2. Let i(h) be the third derivative of h**7\/2520 + h**4\/4 + 19*h**2. Let t(r) be the second derivative of i(r). Determine m(t(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 16. Let t(o) be the first derivative of -o**4\/4 - 7*o**3 + 19*o**2\/2 - 54*o + 206. Let l be t(-22). Give y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 70*o**3 - 117*o**2 + 875*o + 4. Is i(9) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*g = -192*g + 6*g + 1401 + 471 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240*-1167646.\nAnswer: 280235040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + t - 18 = 0, -i - 624*t + 622*t + 6 = 0. What is the closest to i in -1\/28, 4, -1, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r + 2*r + 2*r - 6*r + 1. Let h(u) = 4*u**2 + 2*u - 1. Calculate the remainder when h(2) is divided by n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgirmrmrbrgggv. What is prob of sequence mg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -193, -203, -211, -217, -221?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4941)\/1830)\/((-28)\/30). Let b(w) be the third derivative of 0 + f*w**4 - 243\/7*w**3 - 7*w**2 + 1\/420*w**6 - 9\/70*w**5 + 0*w. Factor b(t).\nAnswer: 2*(t - 9)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36734 + 69625. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20733918 is divided by 633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 6*u + 7. Let n be (-3 - 12)*2\/(-6). What are the prime factors of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3 - 15872060*s**2 - 12596177920180*s - 100768407552160 = 0.\nAnswer: -1587202, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 - 3126*b - 6269. Give l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -444, -445, -446?\n\"Answer: -w - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.77676 days to seconds.\nAnswer: 5769512.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 159004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279 + 391. Let a = j + -56. Suppose -b + 68 = a. What is the greatest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(2*n + 2*n**3 - 2*n + (-4 - 2 + 4)*(-2*n**3 + 5*n**3 - 4*n**3) + n**3 + 7*n**3 - 3*n**3).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 133 = -115. Suppose -25*w + o*w - 402 = 0. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*2\/(-2))\/((209\/(-57))\/11)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-200) - 918\/(-85)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621409 to the power of 1\/2, to the nearest integer?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 2*i - 11. Let b be v(-7). Let k(u) = -10 - 20*u - b*u + 51*u + 4. Calculate the remainder when 51 is divided by k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:59 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:14 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 48.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 + z + 1. Let b(g) = 25*g**2 - 25*g - 25. What is -25*a(h) - b(h)?\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3624 is divided by 1193?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*l, 26 = 3*s - 5*l - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 3127130072*s**3 + 0*s + 3127130058*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 1, h: 2, q: 1}. Give prob of picking 2 h and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16558, -16904, -17496, -18346, -19466, -20868, -22564?\nAnswer: -24566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, e: 5, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1805*m**2*z + 150*m**2 - 382552*z wrt m?\nAnswer: 3610*m*z + 300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*t**3 + 269880*t**2 + 134955*t + 16870.\nAnswer: -5*(t - 3374)*(4*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1182*g + 2370*g - 1188*g + 2*g**2. Let r(t) = -6*t. What is f(r(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, q: 3, b: 2, n: 2, m: 1, j: 6}. Give prob of picking 1 m and 1 b.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tut when three letters picked without replacement from {u: 5, q: 5, t: 4, b: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42570 by -1290.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 691416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*u = 4, z + 0*z + u - 7 = 0. Let d be ((-1)\/(-2))\/(z\/(-16)). Let m(r) = -r**3 + r**2 + r. What is the units digit of m(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18428324, 36856707, 55285090, 73713473, 92141856?\n\"Answer: 18428383*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10241 and 9779.\nAnswer: 1300607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25975113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185149.7109us in weeks?\nAnswer: 0.00000030613378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:53 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, 312, 728, 1326, 2112, 3092?\n\"Answer: m**3 + 82*m**2 - 13*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 4, q: 8}. What is prob of sequence ss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 27*t - 19*t + 49*t + 4*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2485527869.\nAnswer: 11, 59, 3829781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2998650 to the nearest ten thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -456.043 rounded to zero decimal places?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755665 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:28 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 - 6*l + 2. Let i(z) = -z**3 - 6*z**2 + 9*z + 9. Let x be i(-7). Is o(x) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*3\/12*-2. Suppose -f*c + 8*h + 12 = 4*h, -2*c - h - 3 = 0. Factor 1\/3*u**2 + 0*u + c + 1\/3*u**3.\nAnswer: u**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (3 - (5 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**3 + 541*b**2 - 180*b + 2030. Determine v(77).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65 - 120*m + 223 + 532 - 1451*m + 1052 wrt m?\nAnswer: -1571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -39. Suppose -f*w + 6 = s - 6, s = -3*w + 6. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-268)\/3 + 6)*864000. What is d rounded to the nearest 1000000?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = -32*k + 1. Let q be (-693)\/(-66) + (-9 - k). Factor -y - q*y**2 - 1\/2.\nAnswer: -(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 45480756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 - (-16 + 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5362)\/(-18))\/(24\/(-227790)). Let h = 2822639 + j. Let f = -4693 - h. Find the common denominator of f and -57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.6, -4, 3\/8, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 8385?\nAnswer: 33540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeuaeoeooeoci. What is prob of picking 1 e and 1 a?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/7278876 and -37\/5955444.\nAnswer: 65509884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -23*p**2 + 44*p + 3. Let r(h) = -8*h**2 + 15*h + 1. Calculate 6*q(n) - 17*r(n).\nAnswer: -2*n**2 + 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2562 - 6*l**2 - 7*l**2 + 4*l**2 - 2*l + 2562. Let d(o) = -28*o**2 - 7*o. Calculate 7*b(p) - 2*d(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*p + 7 - 2 - 4)*(-4*p + 3*p - 2*p) in the form k*p + u*p**2 + h and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:28 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - q - 41 = 4*q, 5*p - 95 = 5*q. Let g(s) = -s**3 - 5*s**2 + s + 6. Let m be g(-5). Let c = p + m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 10 - (-5)\/3*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-35) + 8\/720*18\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32*f - 255. Let o be z(-8). Put o, -4, 2, 220 in descending order.\nAnswer: 220, 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 79*u - 109*u - 396 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14599*r**6 - 4*r**4 - r**3 + 32*r**2 - 2253.\nAnswer: -1751880*r**3 - 96*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.7532 (b) -2\/11 (c) -3 (d) -4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1, -2\/9, -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, -48707, 0.5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3*x**4\/4 + 4*x**3\/3 - 7*x**2\/2 - 11*x. List the prime factors of i(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -9*n**2\/2 + 45*n - 53. Determine f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 2. Let q be b(-1). Is q - (6\/3 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 divided by -34?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 86584120*n + 374840491808720.\nAnswer: 5*(n - 8658412)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 235415 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 10*k - 278 - 289 - 3*k + 554 - 4*k.\nAnswer: 3*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*y = -181*y - 50. Solve -y + 1 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/222, -0.2, 5\/4, 0 in decreasing order.\nAnswer: 5\/4, 55\/222, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 o, and 1 l when four letters picked without replacement from {o: 7, x: 2, n: 1, l: 2, m: 4, p: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:01 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00161 + -8.99839. Put 0.1, 1\/4, 0.4, -1\/7, t in decreasing order.\nAnswer: 0.4, 1\/4, 0.1, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 232.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Suppose 0*o + d = -2*o. Sort 3, -2, o in ascending order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319 + 3181\/10. Let l be (2\/(-12))\/((-44)\/(-12)). Let a = -193\/11 - l. Find the common denominator of a and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 36. Let b = i - -19. Solve -12 = y - b*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/7, -1\/2899, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/19 - 1*-2*1. Suppose 1654 = h - 5*j - 6400, -2*h + 16120 = q*j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/4 + (-3)\/3. Suppose p*r + 5*f - 24 = 3*r, 4*f - 24 = -4*r. Solve 0 = 3*m + k + 2 - r, -k + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + -1 + sqrt(17))*3 + 1.\nAnswer: -2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-80) - -5)*(-16)\/(-68).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 3*i**2\/2 + 9. Let p be q(3). Let j = p - -32. Solve -14 = y - j*t, 0 = y - 5*t + t + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/24 and 11\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.37, -2\/5, 0.4 in decreasing order.\nAnswer: 5, 0.4, -0.37, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5221.958 millilitres to litres.\nAnswer: 5.221958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -174*y - 105.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 23557*f - 306243. Let d be h(13). Let t(z) = 2*z - 1. Let q be t(1). Let o be q\/2 + (-6)\/(-4). What is the third smallest value in o, 25, d?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -106, 0, 1\/13401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 32 + 33. Calculate the smallest common multiple of r and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*u - 5. Let w(r) = -r + 7. Let t(d) = -225*d - 130. Let m(c) = u*w(c) - t(c). Find the first derivative of m(a) wrt a.\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -64*h + 49. Let t be k(-2). Let p = 51 + t. What is the lowest common multiple of p and 21?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 6*d**2 + 5*d + 3. Let g be k(-5). Suppose -g - 1 = -2*u. Put -1\/10, -1\/9, u in increasing order.\nAnswer: -1\/9, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1563 and 258?\nAnswer: 134418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(330\/(-24)))\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 - 47. Suppose 68 = 5*i + r - 15, 0 = -3*i + 3*r + 39. What is the greatest common factor of i and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30106, -30108, -30110, -30112, -30114?\nAnswer: -30116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -10\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-5\/6))*f)\/(f**17*f) assuming f is positive.\nAnswer: f**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*w + t, 5*w + 5*t - 25 = -0*t. Suppose -5*p = -w*n + n + 16, -2*n + 23 = -p. Suppose n = -z + 50. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)*2*(-6)\/(-288).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22561, -22550, -22539, -22528, -22517, -22506?\n\"Answer: 11*z - 22572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:17 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -8566 (b) 0.1 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voo when three letters picked without replacement from {o: 5, v: 1, d: 3, x: 1, t: 4, g: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 1 + sqrt(7623) + 5*((sqrt(252) - ((sqrt(252) + -1)*4)**2) + sqrt(252))*1.\nAnswer: -20235 + 1053*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v + 4*j = 60*v + 68, -3*v - 2*j + 58 = 0. Solve -v*f = 12*f + 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (-5 + 9)*(-1 + 2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 9. Solve -4 = 4*s + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 8. Suppose -4*n - 10 = 2*l, 3*n = 5*l + s - 59. Solve -l*z - 4 - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(108) + sqrt(120)\/sqrt(10).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130.13us in seconds?\nAnswer: 0.03113013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -19*x**3\/3 - 2*x - 10436. Let m(o) = -2737*o**2 - 289. Calculate -6*m(z) + 867*r(z).\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 12514?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 2, a: 1, n: 1, m: 2, j: 1, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 262856891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/213232 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-3))\/q*q*q*q)\/(q*q**(-1\/2)*q)*(q*q\/q**(6\/7)*q)\/q**(5\/4)*(q**(-13)*q**12)**(2\/7) assuming q is positive.\nAnswer: q**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - h + 4 = -4*h, 0 = -5*b + 5*h - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50704 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from sttcxtxtkc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:17 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 - 1. Let b be m(-2). Let x = b - 1. Find the third derivative of -l**x + l - l - 3*l**5 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2. Let h(i) be the third derivative of -i**4\/24 + 22*i**2. Give t(h(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8144, -8146, -8148, -8150, -8152?\nAnswer: -8154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -2.\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3 = 5*a - 36, 3*a + 3*o - 21 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -122. Calculate the greatest common divisor of o and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/216 - (-38)\/12. Suppose 4*y - 571 = d*t + 863, 0 = -5*y - 4*t + 1777. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nln when three letters picked without replacement from klknnnlklknkknlllklk.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2. Let v(d) = -d**2 - d - 1. Let w(q) = -6*q**2 - 4*q - 4. Let p(b) = 20*v(b) - 5*w(b). What is p(j(u))?\nAnswer: 250*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2 + 3. Let i(a) = 154*a - 50*a - 34*a - 41*a - 52*a. What is w(i(h))?\nAnswer: -5290*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:59 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8*b - 5*b = 1380591, 0 = -4*h + b + 920409. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:44 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) - (-2 + sqrt(19))) + (sqrt(475) + -3 - sqrt(19)))**2.\nAnswer: 56*sqrt(19) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2687, -272, 1, -1 in decreasing order.\nAnswer: 2687, 2, 1, -1, -4, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**3*m*w**2 + 137018*f**3*w**3 - 3*f**2*m**3*w**3 - 14*f**2*m**2*w**2 + 281*m**3*w wrt w.\nAnswer: 822108*f**3 - 18*f**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, l: 5, b: 4, w: 3}. Give prob of sequence lslw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m + 17*m**3 + 6 - 2 + 53*m**2 + 10*m + 21*m.\nAnswer: (m + 1)*(m + 2)*(17*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36) - (4\/(-48))\/1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4944, -9906, -14870, -19836?\nAnswer: -24804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11845?\nAnswer: 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/((-92)\/(-4508)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3052 + 3155. Solve 95*v - d*v + 24 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25155 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*y**2 - l**2*y - 1439*l**2 - l*y**2 - 34*l - 107*y**2 wrt l?\nAnswer: 4*y**2 - 2*y - 2878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-21)*k**(-16)\/k assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 3. Let l = -3570 + 3572. Calculate the greatest common factor of l and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)\/(p\/(p\/(p\/p**(2\/3))))*(p\/p**2)**(2\/51))\/((p\/p**(-2)*p*p*p*p*p**9*p*p)\/(((p*p**(-7)\/p)\/p)\/(p*p**(-2\/9)))) assuming p is positive.\nAnswer: p**(-20668\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45c2353b + -3?\nAnswer: 45c23538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 732259 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = y + 45, -3*j - 29 = -y. Let g = 20 + j. Solve 0 = -4*u - g + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1783 = 83. Let x = 707\/2 - l. Factor -3\/2*b**5 - 15\/2*b**4 + 0 - x*b**3 - 3*b - 21\/2*b**2.\nAnswer: -3*b*(b + 1)**3*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - 5*a, -4*v + 3 = -v - a. Let d be v + 3*4\/6. Solve d = 4*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 7. Suppose 0 = -5*p + 30 - 5. Suppose -p*m - h + 8 = 3*h, h + 3 = 0. What is the units digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/(c**(-4)\/c))\/(c**(-2\/11)*c*(c**(1\/4)*c)\/c*c*c) assuming c is positive.\nAnswer: c**(683\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 342948368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, 103952?\nAnswer: 103952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*t + 64, 2159*h - 2163*h + 76 = -5*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0259494 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 34. Give s(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154378019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 6, e: 2, h: 2}. What is prob of picking 2 e, 1 h, and 1 c?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.37.\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:53 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -31*l + 61 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewnweuuuewnwqneeeqe. Give prob of picking 1 w, 2 e, and 1 q.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 4, 6, -4, -2, -53?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00698517 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1937*v - 3. Let s be f(2). Let c = -1860 - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2\/5 + 1137056*x\/5 + 121710788\/5 = 0. Calculate x.\nAnswer: -107, 284371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124 - 196 + 7141*p**3 - 7418*p**3 with respect to p.\nAnswer: -831*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 13*a - 84*a - 13*a. Let y(v) be the third derivative of 7\/60*v**5 + a*v + 0 - 5\/24*v**4 - 1\/120*v**6 + 2\/3*v**3 + 8*v**2. Give y(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*n**2 + 25*n**2 + 467*n**2 in the form s*n**2 + i + r*n and give s.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 16974?\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -28.\nAnswer: 85\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = -8. Let c be f\/4*-4 - -1. Solve -5*r - 10 = -5*q, -5*q - c*r + 19 = -5*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (42\/(-10))\/(-3) - 93\/(-155)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -185. What is the common denominator of 61\/22 and (-1 - f\/(-3)) + (-13055)\/(-1470)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 215\/394 - 9\/197. Let z = 0.1 - 1.1. Let a = -18 - z. Put o, 0.4, a in decreasing order.\nAnswer: o, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/3)\/5)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 5. Let h(n) = -23314*n. Calculate h(c(t)).\nAnswer: -23314*t - 116570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*c**2*i**2 + 3245*c**2 - 2*i**3 - i wrt i?\nAnswer: -230*c**2*i - 6*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 749073371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -1\/3*v**3 + 2 - 4*v - 5\/2*v**2. Determine z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 23 = 5*x, 5*n = 4*x - 5*x + 115. What is the third derivative of 28*z**2 + 1 - 1 - n*z**3 + 6*z**3 wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + 14 + -13 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 smaller than 770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1100\/(-32450)*6\/4\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(8\/(-96))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0*m*m**(-3))\/(m**10*m**(-1\/12)))**(28\/11) assuming m is positive.\nAnswer: m**(-917\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-7) - (-14)\/98. Let s(a) = 261*a - 261*a + 2*a**g. Let d(v) = -v**2 - v**2 + 6*v**2. What is s(d(i))?\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947755 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: Rearrange (-h**3 + h**3 + 3*h**3)*(-2*h - 1 + 1) + (2 + 0 - 1)*(-2*h**4 - 1 + 1) + 343 + 43*h**4 - 343 to p*h**3 + o*h**2 + n*h**4 + w + i*h and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let u(j) = 4*j**2 + j - 2*j - 5*j**i + 35. Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*l + 70 = 116*l - 462. Solve 104*i - 106*i = -4*k - l, -17 = i + 4*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920113094?\nAnswer: 2, 97, 1429, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-25))**22 assuming n is positive.\nAnswer: n**(-1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (803\/27302)\/(4\/((-32)\/(-4))*-2).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*g + 23, 6*g = 3*d + 2*g - 25. Suppose -d*u + 7*u = 4. Let q be 2430\/63*7*u. What is q rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/((-189)\/18) + 11\/3. Let s be (-4 + d)*24\/(-1 - 0). Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4056)\/96)\/(2054\/(-1896))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 5*z**3\/6 - z**2 - z. Let r(b) = -5*b - 39 - 45 + 88 - 6*b. Let q(k) = 3*r(k) + 7*s(k). Differentiate q(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 3\/4, 2\/9, -5, -7, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221983942.\nAnswer: 2, 37, 2999783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13364 - -103?\nAnswer: -13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/7, -120, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:05 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683371139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/57867 and 62\/12669.\nAnswer: 244372341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2475 and 525327.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1876, -1877, -1878, -1879, -1880?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10383 + -10397. Which is the nearest to 2\/5? (a) -0.1 (b) y (c) 0 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 49*r**2 + 67*r + 845. Determine x(-50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -6, -4, -2, 0?\n\"Answer: 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -794, -1322, -1850, -2378?\nAnswer: -2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(68))\/(sqrt(12)\/sqrt(3)*6)*2.\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3056 - -3271. Calculate the greatest common factor of m and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/7533 and 52\/1485.\nAnswer: 414315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 8 = -x, -244*x - 15 = -240*x + 3*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14597750 divided by 2919550.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6925068403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 570002 = f + 2*j, -3*f + 5*j = -1710005. Round f to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 - 5*n - 2. What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*m**2*w**2 + 2*h**2*m*w + 111*h*m**2*w**2 + 3*h*m**2*w - 4*h*m**2 + h*w wrt w.\nAnswer: -4*h**2*m**2 + 222*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) -9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -1 + 8829 + -8846.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953066768?\nAnswer: 2, 1381, 43133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -45.7 (b) 0 (c) -2\/3 (d) 13659\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:25 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-235314\nAnswer: -47062.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19*q - 296. Is 2 a factor of s(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13985 + 26814. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s - 29*s + 9*s to the form f + x*s and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/b**(3\/8))\/b))\/b*b)\/(((b\/(b\/(b**(-6)\/b)))\/b)\/b) assuming b is positive.\nAnswer: b**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*l = -98*l + 1485. Solve -4*p + 11 = -5*y - 3, 0 = -l*p + y + 28 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5332907698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 0.078178.\nAnswer: 13.078178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 440. List the prime factors of l\/11*1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 158?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4338 by -6.\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-94 - -15)\/(1\/(-14)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 83*o - 31*o - 23 = 53*o, -o - 39 = -5*n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 58*c**4 + 12*c**2 - 178*c + 12. Let p(o) = 23*o**4 + 5*o**2 - 71*o + 5. Let z(h) = -12*p(h) + 5*w(h). What is the second derivative of z(y) wrt y?\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 11*b**2 - 9*b - 3. Let c be f(10). What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 47*l**2 + 18*l - 140. List the prime factors of b(7).\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -23. Solve -8 = 4*i - d*f + 8, -13 = -i - 3*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34604.39 nanograms?\nAnswer: 0.00000003460439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 3*j)*(-6 + 3 + 1) - 3 + 3 + j + 1 - 1 - 2*j + j - 3*j + 0*j - 35*j - 34*j + 45*j.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.910058 centuries to months.\nAnswer: 4692.0696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -0.9, 0.5, -0.43, -12, 2\/19?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2522*d**3 + 2382*d - 5. Let o(g) = -2523*g**3 - 2394*g + 6. Let j(y) = 6*k(y) + 5*o(y). Find the second derivative of j(c) wrt c.\nAnswer: 15102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -654d - -1967?\nAnswer: -49c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 197*l**2 - 17627*l*o + 1438404*o + 1 wrt l.\nAnswer: 394*l - 17627*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3191484 < -3191483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(11\/5)*d*d*d**(2\/37))**(2\/15))**(-18) assuming d is positive.\nAnswer: d**(-11664\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/745280 and -39\/3260600.\nAnswer: 26084800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 29*w**2 - 13*w + 136. Let x be u(14). Suppose -4*d + m - 85 = -320, d = -2*m + 70. Calculate the greatest common factor of x and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26247950657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12755, -12753, -12751?\n\"Answer: 2*d - 12757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 253 = 89. Let b be t\/3 + 20094\/(-1). Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4860 = 4145*o - 3983*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:35 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + 0 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 3. Let j(y) = -15*y - 20. Suppose 12 = 4*t, 0*i - t = -5*i + 97. Let q(l) = i*c(l) + 3*j(l). Let k(r) = 2*r. What is k(q(f))?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*h - 172*h + 83*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132162*w**5 + 13*w**3 + 7*w**2 + 1940839*w wrt w?\nAnswer: -7929720*w**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 20 + 1 + -7 + 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 78. Suppose -3 = -3*v - 0. What is the smallest common multiple of q(-29) and (44 - 9\/(-3)) + v?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31605)\/(-258))\/(105\/(-7))?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 + 23?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112743 is divided by 874.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580804624?\nAnswer: 2, 167, 217367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/128*1\/(3\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*b = 10, 35 = -5*t - 2*b + 6*b. Let d be 9\/6*(1 + t). Let o be d\/(-1) + (5 - 8). Which is smaller: o or 1\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let k be j(4). Let z = 17 - k. What is the remainder when 7 is divided by 12*((-6)\/z - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3 + 3*x**2 + 10*x**2 - 8*x**2 + 2*x**2 - 3*x. Let i(h) = -300*h**2 + 130*h - 130. Calculate -6*i(n) - 260*p(n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 654 + -650.79. Let x = -1.21 + t. Sort x, 0.1, 1.\nAnswer: 0.1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5048240 and 24?\nAnswer: 15144720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6866699 to the nearest integer?\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/6, 101711?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-45)\/2. Let t = h - -41. Calculate the smallest common multiple of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 342*k**2 - 18*k + 32*k.\nAnswer: 342*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 153784801*g**3\/2 - 9688492067*g**2\/2 + 1562528*g - 126 = 0.\nAnswer: 2\/12401, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 14837 and 14837 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-64))\/((-1)\/4*-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/237)\/(33\/18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 4*i = 11*z - 5*z + 145, 4*z + 2*i = 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -326*t + 327*t + 94 - 95. Let j(o) = o - 1. Let n = -5 + 2. Give n*j(x) + 2*i(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/8*-1. Solve 5*l + 25 = r, y = -4*l - 12 - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**24)**(-2\/67)*(u**(-27))**(29\/5))**(-17) assuming u is positive.\nAnswer: u**(895917\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:54 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1427*-3\nAnswer: -4281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**1*z))*z\/(z*z**(-4))*z)\/(z**(-2\/5)*z)**(-2\/21)*(z**0*z)**(-27)*z**(-3)\/z**(-1\/6) assuming z is positive.\nAnswer: z**(-4993\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 - 7 - (-11)\/(-3). Let g = -17\/55 + -1\/11. Which is the smallest value? (a) -5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -147401 - 3?\nAnswer: -147404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**4 + 18*a**4 - 11*a**4 + (-2*a**2 + a**2 + 2*a**2)*(2*a**2 + a**2 - 4*a**2) as n*a**2 + p*a**3 + m + u*a + q*a**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h - 80. Let x be g(9). Solve 0 = 13*b - x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/375 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 43 + 9*a)*(3 + 0 - 1) - 4*a + 0*a + 3*a - 6*a - 12 - 8 + 22.\nAnswer: 11*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 60 = 4*o, z - 25 = o. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382005830 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.677734 millennia in years?\nAnswer: 1677.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x + 6. Suppose -37 - 43 = -16*s. What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + 4.6. Let j = x - 2. Let k be 0 + (-76)\/28 - -3. Sort j, 0, k.\nAnswer: 0, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 + 0*f**5 - 3*f**5 + 3*f**4 - 3*f**4 - 2*f**5 - 3*f**5 - 4*f**3 + 4*f**3 + (-f**2 + 2*f**2 + 0*f**2)*(-4 + 4 - f**3) - 60*f**3 + 31*f**5 + 60*f**3.\nAnswer: 26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -41800000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 15.1. Let j = x - 1.21. Which is the smallest value? (a) 0.2 (b) -3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646404576 to the nearest integer?\nAnswer: 25424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -275319028*w - 518546845 wrt w.\nAnswer: -275319028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1386)\/(-144) - 10)*(21\/9 - -1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 14*k + 18*k - 684. Which is the biggest value? (a) k (b) 0.1 (c) -0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19510277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*f + 1038, 0 = -4*w + 3*w - f + 259. Suppose -4*m + 473 = w. Solve -5*v - 58 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11256 and 49?\nAnswer: 78792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 - 24*y**3\/5 - 18*y**2 - 20*y = 0. Calculate y.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(7) - sqrt(8) - sqrt(8))\/sqrt(4) - sqrt(48)\/sqrt(6))**2*6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24246156 (base 9) to base 14\nAnswer: 18030d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(612) - -2*sqrt(612) - sqrt(612))**2 + -2 + sqrt(612)*2 + 3*2*(-1*sqrt(17))**2*5.\nAnswer: 12*sqrt(17) + 2957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -3 + 0 - (-625 + 641).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10\/11)*(k**(1\/32)\/k)\/k)\/((k**(2\/39)\/k*k)\/(k*k*(k*k\/(k\/(k\/(k*(k*((k*k*k*k**22)\/k)\/k*k*k*k)\/k))*k))\/k)))**(-1\/6) assuming k is positive.\nAnswer: k**(383411\/82368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(14) + sqrt(14)*-1)*-2 - (sqrt(14) + sqrt(28)\/sqrt(32) + sqrt(14) - sqrt(14)))\/(2*sqrt(288)*3) + -3.\nAnswer: -3 - 13*sqrt(7)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 50. Let b = -22 + o. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24010870 divided by 130\nAnswer: -184699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*f**2 + 16 + 42*f**2 + 2*f**3 - 17 to m*f**2 + n*f + a*f**3 + v and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 458\/7*i**2 - 456\/7*i - 2\/7*i**3 = 0.\nAnswer: 0, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 192*x**2 - 6*x - 378. Give g(-96).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 10:46 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -249, -153306*a + 4*p + 312 = -153302*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126373, 126388, 126391, 126376, 126337, 126268?\n\"Answer: -c**3 + 22*c + 126352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 4755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 66*k**2 + 16*k + 28. Let g(o) = -o**3 - 22*o**2 - 6*o - 10. Determine 8*g(r) + 3*n(r).\nAnswer: -2*r**3 + 22*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.4 or -9314239?\nAnswer: -9314239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2, -5\/18, 0.5?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:16 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29946 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130 - 77*w**4 + 152 - 442 wrt w?\nAnswer: -308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = 2*u, -13*u + 2 = -14*u + 3*g. Solve c + h + 3 = 5*c, 3*c + u*h - 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(1100) + ((-1 + sqrt(1100))*1)**2.\nAnswer: -10*sqrt(11) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -5 + -3)**2 + -4*sqrt(12) - ((sqrt(6)\/(sqrt(2) + 4*sqrt(2)))**2 - (sqrt(432) + (sqrt(432)*1)**2)).\nAnswer: -12*sqrt(3) + 12472\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 17*v + 29. Let u be z(-15). Suppose -40 = 6*o - 16*o. Which is the closest to -2? (a) o (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -189. Suppose 2*o + o = p - 13, -5*p + 47 = 3*o. What is the smallest value in p, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/618 and -91\/10.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {m: 4, u: 1, w: 1, o: 2, n: 3, h: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32584 and 79207?\nAnswer: 111791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5883*d*l**2 + 223*d*l - 2920044*d with respect to l.\nAnswer: -11766*d*l + 223*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/(-66)*322\/(-5313)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12558, 12552, 12536, 12504, 12450, 12368, 12252, 12096?\nAnswer: 11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*z - 3504 - 2180 + 1403 = 5385 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -608\/3 + 4\/9*k**2 + 904\/9*k = 0?\nAnswer: -228, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16891 + 16888. Are -485 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261 = p - a - 1260, 0 = 5*p - 4*a + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -60. Suppose 4*d = 3*l + 6 + j, -2*d + 28 = -5*l. Solve -v + d + 1 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/4 - j + 2. Let m be a(1). Let q = -560 + 6154\/11. Does q = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30484613 at least as big as 30484613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*t**2 + 1 - 842*t**2 + 3990*t**2 + 954*t**2 - 3.\nAnswer: 4571*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 79*k**4\/12 + k. Let y(q) = 62847*q**2 - 20946*q**2 - 20949*q**2 - 20949*q**2. Give m(y(g)).\nAnswer: 711*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145781710249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932065.6 grams to nanograms.\nAnswer: 932065600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*((-21)\/9)\/((-2)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 443?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a - 20. Let j = 20 + a. Find the first derivative of -j - 6 + 9 - 6*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -151213200?\nAnswer: 151213151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23*b**3 + 8*b**2 - 18*b + 195. What is the units digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27639 by 747.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 6*o + 128. Solve -o = -3*d - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 581.3 + -14.3. Let g = q - 567.5. What is the third biggest value in g, 16\/3, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -33*k**5\/20 - 13*k**3\/3 - 47*k. Find the second derivative of a(u) wrt u.\nAnswer: -198*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) 2 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3946236 by -21.\nAnswer: 187916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/5 - 2244356*r**2\/5 - 62963499872*r + 944472697392\/5 = 0. Calculate r.\nAnswer: -280546, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184938223 or 184938225?\nAnswer: 184938225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.2043 and 7.\nAnswer: 20.2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 177394211 and -0.33.\nAnswer: 177394210.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - o - 1)*(28*o - 28*o - o**3) as m*o**3 + h*o + c*o**2 + j*o**4 + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18569954894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 108 - 0) + 0. Suppose -50*v - 1 = -49*v - 5. Suppose -o - v*o = -d. Is 1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 4 + -76 + 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 38*h - 2*h - 120. Let t(k) = k**2 + 5*k + 1. Let n(y) = -3*y + 5. Let d be n(4). Let u be t(d). Solve 2*j = h*j - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47787717?\nAnswer: 3, 19, 577, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.5666761 to 1 dp.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12743503?\nAnswer: 37, 163, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615 - -609. Let i be 7 - (6 - 3) - (-6)\/s. Solve -i*z = 5*t + 22, -7*z = -2*z - t - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547 is divided by 2530.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31146290093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-28)\/176))\/(-11*24\/132)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1252945848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 9. Let v(c) = -2*c - 8. Let b be v(-6). Let s be y(b). Suppose -s*f = -6*f - 1. Which is bigger: f or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/71*7*(-98)\/1372\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(-1\/8)\/t)*t**(2\/7)\/t)\/((t\/t**(-2\/9)*t*t*t)\/(t**2\/t))*(t**(-1\/2)\/t)**(-4\/11)\/(t\/t**(-5\/4)*t\/(t\/t**(-2))) assuming t is positive.\nAnswer: t**(-8405\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let h(y) be the third derivative of -y**4\/24 + 4*y**3\/3 + 29*y**2. What is l(h(o))?\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**3\/3 - 3661955*u**2\/3 + 335246945060*u\/3 + 167624388020\/3.\nAnswer: 5*(u - 183098)**2*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/((r*r**14)\/r))\/r)\/r*r\/(r*(r\/(r\/r**(-2\/15)))\/r*r)*r**(-16)*r**(-6\/11))**(-28) assuming r is positive.\nAnswer: r**(140504\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3*(116\/6)\/2. Suppose -v - 3*f + 25 = v, -v + 4*f = -y. Let t = 39 - 10. What is the remainder when t is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808\/(-138168)*(-38)\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let q(y) = -6*y + 8. Let p(h) = -q(h) - 5*t(h). Let n be p(3). Solve -f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 + -563\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 5. Suppose -4*t + 2*n = -3*n - 47, 3*t + 2*n - g = 0. Suppose -t + 3 = -3*z + 2*h, 0 = -3*h + 6. Let y(u) = -u**2 + 2*u + 2. Calculate y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -54*v - 1860. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 56*y = 0. What is y?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29991456 - -81233?\nAnswer: 81232.70008544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -14731.\nAnswer: 212\/14731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - 1434*p - 13248. Give h(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, 207, 1465, 4081, 8547, 15355, 24997, 37965?\nAnswer: 54751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -10. Let b(a) = -2*a**3 - 2*a - 3 - 10*a + a**3 - 8 - 11*a**2. Let v be b(q). What is the highest common factor of v and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -40*((-84)\/16 + 35\/(42\/6)). Solve 0 = 2*c - 10, 0 = -73*i + 74*i - c + l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*l - 8 - 0, -j - l = -2. Suppose -j*m - 120 = -5*m. Suppose 5*t + 0*t = 120. Calculate the greatest common divisor of m and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00173428 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13272 * -1.\nAnswer: -13272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234*j**2*s**5 - 3591*j**2*s**2 + j**2 + 4*j*s - 310*s**3 wrt s?\nAnswer: -14040*j**2*s**2 - 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6157272 divided by -2\nAnswer: -3078636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4*w**3 + 8*v**4*w**2 - v**3*w - 7*v**2 + 6*v*w**3 - 2*w**3 wrt v.\nAnswer: 72*v*w**3 + 192*v*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/2 + 1191*k**2 - 682875*k\/2 + 2331875 = 0.\nAnswer: 7, 325, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648866 is divided by 40536.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -33.7. Let n = g - 1.3. Let t be 128\/(-80) - (-2 + 0). Sort n, t, 0.3 in ascending order.\nAnswer: n, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 + 352*d**5 - 364*d**5 - 12*d - 8*d**2 + 3*d**4 + 24*d**3 + 3 = 0 for d.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*y - 3*n + 116, 5*y + 154 = n. What is the tens digit of -1*4 - (y - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q + 1. Let k(l) = -55 - l**2 + 5*l**2 + 5*l - 3*l**2 + 54. What is -5*i(o) - 4*k(o)?\nAnswer: o**2 + 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let n be 1*(-1)\/(-10)*o. Let q = -5141 + 5144. Which is the closest to n? (a) q (b) 1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - 5*i + 4. Let j(o) be the third derivative of -7*o**5\/60 - 5*o**4\/24 + 2*o**3\/3 - 2*o**2. Let n(m) = -4*j(m) + 5*r(m). Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*y + 415*y - 1658*y + 413*y + 418*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/632 and -103\/98.\nAnswer: 30968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/(-105)*(10\/(-75))\/(7\/175).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.99999946 + 64. What is j rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 15 - (-113 - -94).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*r**2 - 11*r**2 - 15*r**2)*(17*r - 47*r + 21*r).\nAnswer: 198*r**3 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 - 68*b**4 - 152*b**3 - 8*b**2 + 148*b + 76.\nAnswer: 4*(b - 19)*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6125)\/125)\/(-1470)*(-4)\/2*1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 592 - 590. Suppose 0 = -3*t + g*n + 421, -3*n + 1 + 2 = 0. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 805, 2, -0.1312, 1, 6 in descending order.\nAnswer: 805, 6, 2, 1, -0.1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11326 + 11326. Which is smaller: -2946\/5 or s?\nAnswer: -2946\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -390 + 392. Put -4\/7, u, 0.3 in decreasing order.\nAnswer: u, 0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -21*w + 26*w. Solve -5*q - 5 - 10 = w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - 34\/(-6). Suppose -2*l = -4*j + 2, -f*l - 5 = -4*j + 6. Does 7 divide -4 - -5 - (-14 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522482 or 7?\nAnswer: -522482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-24)\/(-10) - 1341298\/(-70). Let p(c) = -90*c - x + 19161. Let s(f) = 3*f. Determine p(s(l)).\nAnswer: -270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -156, 1, -2270 in ascending order.\nAnswer: -2270, -156, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1782*b**3 - 690*b**2 - 12*b + 195088623 wrt b?\nAnswer: -5346*b**2 - 1380*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15276 and 9?\nAnswer: 45828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by 187.\nAnswer: -166\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4032 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39207 + 39205. Let k(n) = -n + 1. Let w(m) = 190*m - 209. Determine i*w(x) - 418*k(x).\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14033*l + 308723. What is t(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -266*t**2 + 1312*t + 76. Determine x(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 + 11*m**3 - 180 wrt m.\nAnswer: -8*m**3 + 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/16)\/(7\/(-3)). Let a be (-4)\/10 - 706\/(-840). Let f = x - a. What is the closest to -0.1 in -2, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-9 - (0 - 0))) + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 637*f + 18006 + 26129 for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1935.2178 microseconds?\nAnswer: 0.00003225363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 + 31 - 107*z + 3 - 47.\nAnswer: -107*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.594*20.\nAnswer: -651.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12*m = 30, 4*g - 4*m = -9566020. Round g to the nearest 10000.\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -14*f - 1426. What is z(-85)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**2 - 1174*a\/7 + 1080\/7 = 0.\nAnswer: 20\/21, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 - 5*f**2 + 1 - 5 + 7*f**2 to the form z*f**2 + n + s*f and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (0 + sqrt(17) - sqrt(17))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 615, 850, 1053, 1230, 1387, 1530?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181.86 - -0.14. Let q = w + -181.927. What is q rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-117)*(2\/(-5))\/(8\/930)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, -1, 5 in decreasing order.\nAnswer: 8, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 118 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2041 and -0.3?\nAnswer: 612.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*o - 1, -5*m - 7*o + 4*o = 5. List the prime factors of -5 - 1\/(m\/165).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -16\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + 106*y**2 - 785*y + 492. Determine t(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*l = -20, -5*k + l = -k - 13. Suppose -2*s + u = 30996, -s - 2*s - k*u = 46508. Round s to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:14 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -3. Let i = 69 + -484\/7. Sort -3, i, c in ascending order.\nAnswer: -3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -513 and 2.1863.\nAnswer: -1121.5719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1*-2)\/(46\/46).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/65165359 and 127\/9536394.\nAnswer: 390992154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 4)*(220*g + 518*g + 1289*g)*(4 - 3 - 3) as p*g + d and give p.\nAnswer: 4054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (-30 - -93) + (-34 - (-6 + 2 - -3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838 (base 13) in base 15?\nAnswer: 10eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -4*sqrt(136)*-3 - 2*sqrt(136)*-2)\/((-6*sqrt(96)*1)\/(sqrt(12)*2*4)).\nAnswer: -68*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 747812444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 3\/11 (b) -0.8 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - u - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116288*l**2*t**2*w - 133*l**2*w - 6175*l*t*w - 328*l - 6*t**2*w wrt l?\nAnswer: 232576*t**2*w - 266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.116 + 4.784. Let y = p - 5. Is y != -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13163 + 13158. Let c(a) = -7*a**2 - 2*a - 6. Let k(u) = -6*u**2 - u - 5. Determine r*k(w) + 4*c(w).\nAnswer: 2*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 0) + 32\/(-16). Suppose 89 + 87 = 4*v - n*z, 5*v - 3*z = 212. Let f = v - 28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n - 33*n - 67 = 0. Suppose v = 5*c - n, 2*c + 0*v + 3*v - 20 = 0. Calculate the remainder when (75\/4)\/(3\/8) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 4. Let p be (-2 - -1)\/(q\/6). Let n(g) = -g**3 + 2*g**2 + 4*g + 1. What is the units digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 4291443*h - 4291443*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**2\/7 + 3748*f\/7 - 252288\/7 = 0.\nAnswer: 73, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -57. Let n = -0.05 + -4.95. Let r = s - n. Sort r, 1\/5, -1\/3 in increasing order.\nAnswer: -1\/3, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -71. Let p(a) be the second derivative of -1\/3*a**3 - 3*a + 2*a**k - 1\/6*a**4 + 0. Solve p(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 smaller than -386\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 0 in decreasing order.\nAnswer: 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 9*t**2 + 2*t - 3. Determine s(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l - 36 = 0. Let z(u) = u**3 + 13*u**2 + 12*u - 11. Let b be z(l). Let v(i) = i**2 + 11*i + 6. What is the remainder when 16 is divided by v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014157 take away -3?\nAnswer: 1014160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*-2 + -3. Is (-3 - -3)\/x + 10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10602 (base 8) to base 6\nAnswer: -32430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/5 (b) 0.1 (c) -4\/7 (d) -4 (e) -1891\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.5 + 87.5. Let n = t + -82. Which is the nearest to -1? (a) n (b) -3\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16975437029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-768))\/(400\/(-556800)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**3 + 4*d**3 + 3*d + 4*d**2. Let w be 2 + (0 - (0 + 4)). Let t be f(w). Solve -2*k - t - 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*74\/(-111)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 179, 14163, 3 in ascending order.\nAnswer: -5, 3, 179, 14163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.08 - -10.28. Sort -1\/5, 6, d, -2 in descending order.\nAnswer: 6, d, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9 (base 16) to base 12.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (2*sqrt(343) - sqrt(7))**2).\nAnswer: -7074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8929 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/6 (b) -0.08 (c) 1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 309, 408?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) -277 (b) -8 (c) -1\/4 (d) -6 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Put k, 3, 0 in increasing order.\nAnswer: 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**4\/24 - 29*d**3\/12 + 27*d**2\/2 - 29*d - 4. Find a such that t(a) = 0.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*d + 104, 0 = -5*r + 5*d + 221 - 86. Let a = 35 + r. What is the highest common divisor of 99 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198563?\nAnswer: 3, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:27 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2922\/17 + -172. Which is the biggest value? (a) -1 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 686400 and 723600?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 10 = 0, j = -5*y + 60. Let p = -9 + y. Let m(a) = 2*a**2 - 2*a. What is the units digit of m(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 16. Let x be o(0). Suppose -x = -2*u + 24. What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/13)*a**31*(a**14\/a*a)\/a**(-2\/27) assuming a is positive.\nAnswer: a**(15875\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -35*g - 13. Let q(w) = 10*w + 33*w - 60*w - 6. What is 6*i(m) - 13*q(m)?\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f - 22. Let b be (-2)\/f - (-90)\/110. Differentiate -b + 3*s**2 + 3*s**2 - 3*s**2 + 5 with respect to s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170258?\nAnswer: 2, 61, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**3 + 5*d - 3*d - 2*d.\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3198.545 and 3.\nAnswer: -9595.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8158 + -8158. Sort 3, h, -2, 2, 1.\nAnswer: -2, h, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -327*(-8)\/(-12). What is the tens digit of (-42)\/(-4)*z\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49592*c*o + 120893*o wrt c?\nAnswer: -49592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6246.05074 - -6246. What is z rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, s: 1}. Give prob of picking 1 l and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (7152*r - 14811 + 29613 - 14802)*(-3 - 3 + 4)*(-2 + 0 + 1) as i*r + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 62*m**2 + 9*m - 14. Let v be i(6). Let o = -683 + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (139 - 139 - 32*z)*(-2 - 1 + 2) + 6*z + z - 4*z + 8*z + 0*z - 13 - 9*z as q*z + p and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976552 is divided by 92?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 1 f when three letters picked without replacement from lppfx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -40, 3\/4, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/4 or -7?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.8907 and 1.21.\nAnswer: 25.277747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9839, 9836, 9833, 9830, 9827, 9824?\n\"Answer: -3*o + 9842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 29 - 15 + 19*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 1269 = -21. Let x = u + 329. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37, -415, -1457, -3493, -6853, -11867, -18865?\n\"Answer: -55*p**3 - 2*p**2 + 13*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2. Let g be k(2). Calculate the common denominator of 0 - ((-21)\/g + -3) and (-2 + 860\/(-45))\/(0 - -4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*u + 236*u + 72 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35819712 is divided by 11939882.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 141. What is the common denominator of ((-316)\/24*f)\/(-28) and -51\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 times 26?\nAnswer: -13910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*544371.\nAnswer: -15242388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:32 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 - 18*s**2 - 10*s - 14. Determine l(-5).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314 + -335 + 4 + -15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 0)*(-2 + 0 - 3) - 4 - 1 + 3)*(1 - 1 - i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*a + 21, 4*b - 3*a - 3 = -6*a. Let m(y) be the first derivative of 1\/4*y**b + 2 + 1\/2*y - 7\/8*y**2. Factor m(f).\nAnswer: (f - 2)*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 420, 476, 564, 690?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 - 1\/(-2)). Let i be ((-5)\/280)\/((-528)\/(-7040)). Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.7. Let d = 38 + -21. Let u = 16.9 - d. What is the closest to 0 in u, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-2 - 2\/(-3)). Let k be 4\/(-6) - s\/(-30). Suppose 4*z - 3*l = -0*l - 10, -3*l = -3*z - 9. Is z less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 7 + (3 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2464 by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82945067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - 1) - (-5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*d = 0, -r - 4 + 1 = -2*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -27*f - 326. Let g be j(-12). Let c(b) be the third derivative of 0*b + 0*b**3 - b**2 + 1\/30*b**5 + 1\/12*b**4 + 0. Give c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103032*m**3 + 206266*m**3 - 103063*m**3.\nAnswer: 171*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3 - 0. Suppose n*d = -2*a + 12, 0 = -4*d - 4*a + 9 + 3. Suppose -2*g - 5*r + 5 = g, -5*g - 2*r = -2. Solve g = -3*m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 4) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - 2*k + 2*k + (3*k**5 - k**5 + 0*k**5)*(-1 + 5 - 3) + (-2*k - k + 2*k)*(-11*k + 11*k - 3*k**4 + (-3*k**3 - k**3 + 0*k**3)*(27*k + 2 - 2)).\nAnswer: 112*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37745909.\nAnswer: 179, 433, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - q - 168 + 157, 2*h = -q + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9.5*-260014\nAnswer: -2470133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g - 45*g. Let q be (1 + g)\/(4\/20). Put 83, -4, q in ascending order.\nAnswer: -4, q, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/12*32\/8. Solve 3*d + f - 8 = 0, j*f = 2*f + 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 3. Let q be l(5). Let a(p) = -1 + 3*p - q*p + 1. Let h(y) = y. Let j(i) = -i. Let r(k) = -3*h(k) - 4*j(k). Calculate a(r(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5757*h**4 - 3739*h**2 wrt h.\nAnswer: 138168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/6)*u)\/(u**(-1\/13)*u) assuming u is positive.\nAnswer: u**(-85\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**4 + 84*g**3 + 608*g**2 + 1776*g + 1728 = 0?\nAnswer: -9, -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*p = 18, -2*p + 10 - 24 = -3*b. Solve f - b*c = -6, 6*c = 3*f + c + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259952440 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**38*(u**8*u)\/u**(-3\/11) assuming u is positive.\nAnswer: u**(1774\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16935 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405.68*1.3.\nAnswer: -527.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -156 and 394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 5, a: 1, l: 4}. Give prob of sequence al.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 14771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/197?\nAnswer: 31\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*i = c - 16, -5*c - 4*i = 40. Let l(k) = 3*k + 3. Let j(s) = 5*s + 6. Determine c*j(z) + 7*l(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7207 - -7209. Suppose -2*j + 1\/2*j**3 + i*j**2 + 0 - 1\/2*j**4 = 0. What is j?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - -1) + (6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11248 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**7\/105 - b**3\/2 + 3*b**2. Find the first derivative of u(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35217 (base 9) to base 16.\nAnswer: -5bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 10) in base 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 1. Let m(l) = 2*l**2 + 1 + l - l**2 - 4*l**2 + 1 - l**3. Let c be m(-3). Is w(c) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*y = 186*y + 44. Let q(k) = -k**2 + 1. Let t(n) = 2*n**2 + 2. Give y*t(j) - 5*q(j).\nAnswer: 3*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -20. Suppose 33 = 21*d - 177. Let o(x) = u - d - 6*x - x + x**2. Give o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/t)\/(t*t**1))\/(t**5*t\/(((t*t\/t**(-1\/11)*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-272\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/80314 and -85\/3848894.\nAnswer: 50035622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(36)\/sqrt(4)))\/((sqrt(20)*1)\/sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*8 - (-561)\/51. Suppose -3*i = 5*h + 16, -2*i - h = -w*i + 8. Let d(c) = -6*c + 3. What is d(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143895 - -22?\nAnswer: 143917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x - 12. Let r be (((-333)\/185)\/((-12)\/10))\/((-9)\/(-6)). Calculate l(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = 3*z - 94. Let v(q) = 5*q - 2. Let s be v(1). Suppose s*h + 0*l = -l + 1, -3*h = -4*l + 4. Solve h = -3*c + 11 - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23295551 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 124413.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/80598 and 107\/546.\nAnswer: 1047774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 + -18529\nAnswer: -18527.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q + 9. Let n(a) = 0*a - 7*a + 2 + 10*a. Let m(w) = -26*w**2 + 547*w - 23. Let c be m(21). Determine c*p(y) + 9*n(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let n(b) = 1227 + 23*b - 1227. What is n(u(f))?\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-33\/5)\/g)**(3\/10)\/((((g**(-39)\/g)\/g)\/g)\/(g\/(g**(1\/12)\/g))) assuming g is positive.\nAnswer: g**(12491\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/60*p**5 + 0 + 0*p**3 + 0*p + 30*p**2 + 0*p**4. Let b(d) = 2*d**2 - 1. Give b(m(j)).\nAnswer: 2*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000007959 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -160. Let z(b) be the first derivative of 18*b**3 + 4*b**2 - 5*b - 2. Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - 4305.4.\nAnswer: -4305.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - t - 8. Let k be g(-4). Is (126\/(-15))\/(3\/k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 14.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -o - 4*o - 14, -3*i - 11 = 5*o. Solve -y - i = -l - 4, -y = -2*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*b - 3*m + 47, -19 = -b - 3*m. Let q = -8 + 7. What is the lowest common multiple of b and (-2)\/3*(-13 - q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.016, 4, 14 in descending order.\nAnswer: 14, 4, -0.016, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 321 = 489. Solve -3 = -i*g + 85*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35729*s**2 + 12*s**3 - 35729*s**2.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -122?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4336)\/11924*(-11)\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*w = 2*w + 5, 4*w - 20 = 0. Let m be (5355\/(-60))\/(q\/(-16)). What are the prime factors of (m\/7)\/(2\/1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -1630513?\nAnswer: -1630504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 19557*x**2 - 2*x - 11144*x**2.\nAnswer: -30701*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9590*o**2 - 24231*o**2 + 14640*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271 - 189*u**4 + 410*u**4 + 105 + 305*u**4 wrt u?\nAnswer: 2104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487 - 281 - 4152*x + 4150*x.\nAnswer: -2*x + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*h + 22, -16 = -5*s - h - h. Let w(t) = -14*t**s + 24*t**2 - 11*t**2. Let q(o) = -2*o**2. Determine 3*q(k) - 5*w(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 128, 189, 250, 311, 372?\n\"Answer: 61*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3139303.81 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 168, 169?\n\"Answer: x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + d - 141257 = 0, -319*d = -3*z - 314*d + 141299. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -257, -3038, -10537, -25112, -49121, -84922?\n\"Answer: -393*b**3 - b**2 - 27*b + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -206 (b) -84 (c) 1\/3 (d) 2.431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + -8 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*o - 2*o - 252, -3*a = 4*o - 252. Find the third derivative of -17*s**3 + 24*s**3 + o*s**2 - 7*s**3 + 40*s**6 wrt s.\nAnswer: 4800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 - 2*n**2 - 11*n**2 - 8 + 6 - 13*n**2 - n**4 + 6*n**3 as v*n + t*n**2 + o*n**4 + q + g*n**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from hnhhhnnnhhhhhhhhhhh?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/6 + 35*x**3\/6 + 22*x**2 + 5*x + 6. Differentiate k(w) with respect to w.\nAnswer: -4*w + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 13 = 3*q, 2*q - 3 = 3*t + 7*q. Suppose -6 = t*c - 14, 365 = -3*l + 4*c. Are l and -118 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1, 3742, -4368, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 10*p**2 - 28*p - 42. Let t be v(-12). Solve -t + 10 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9.1. Let h be -4*(15\/(-10) - (-3)\/12). Which is the third smallest value? (a) h (b) n (c) -0.09 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3 + 1\/12*b**3 + 1\/24*b**4 + b + 0*b**2. Let z(r) be the first derivative of l(r). Factor z(o).\nAnswer: o*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 2*f - 6. Does 5 divide m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2502 - -2624. Calculate the remainder when 481 is divided by m.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 - 242\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -t. Let d be (t - 1)\/(2\/2). Let g(m) = -d - 2*m + 3*m**3 + 3 - 2*m**3 + 2*m**2. Calculate g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(((21\/385)\/(98\/1078))\/((-6)\/20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/53527565 and -2\/823501.\nAnswer: 53527565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1020*k**5 - 868*k**3\/3 - 576. Find the third derivative of b(f) wrt f.\nAnswer: 122400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(0*o**2 + 4*o**2 - 5*o**2) + 2*o**2 + 5*o**2 - 3*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1754991088 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 - 5*k - 10. What is f(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -716, -718, -720, -722?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105 + (1 + -55)\/6. Suppose -4*l - 43 - 125 = 3*a, -3*a + 4*l - 168 = 0. Let s = a + f. Calculate the greatest common divisor of s and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6*(105\/175)\/((-6)\/(-5)) and 990?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.929 - -0.071. What is the nearest to 5 in h, 0.1, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-6))\/7*-16. Suppose -3*z + 7*z = k. Suppose 4*w = -3*y - 3720006, 3*w - z*y + 2789996 = -0*y. Round w to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 6, r: 3}. What is prob of picking 4 f?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23710 divided by -5?\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c - 19. Let v(h) = -5*h + 9. Give 2*u(s) + 5*v(s).\nAnswer: -3*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 126 - 10*b)*(-3*b**2 - 12*b**2 + 0*b**2).\nAnswer: 150*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -342.372 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.05 - -1.149. What is the nearest to n in -0.2, 0.4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5\/8)\/p*p*p)**(3\/11))**(-6\/11) assuming p is positive.\nAnswer: p**(-9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0)**(-49)*((b*b**0*b*b)\/b)\/b**(-3\/4))\/(((b*b**(-1\/2))\/b)**40*(b**(2\/7))**20) assuming b is positive.\nAnswer: b**(-895\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**3*d)\/d*d)\/(d**17*d*d*d)*d**13\/(d\/(d*d*d\/(d**(-12\/7)\/d))*d) assuming d is positive.\nAnswer: d**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8736*r - r**3 - 8733*r + 17469*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:27 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 2. Let o = x - 6.5. Let w = o + 0.8. What is the third smallest value in w, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4519 or 4535?\nAnswer: 4535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r + 55*r - 1031*r**2 + 14*r.\nAnswer: -1031*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/296)\/(13\/(-5720)*5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 114 = 3*v + 29, -3*v + 80 = -t. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/11 and (-233)\/2033 - 28\/(-266)?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71016 - 178255 + 309 = -14*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = -0*a. Find the second derivative of -a + 20*q + 1 - 5*q**2 - 45*q wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 106080.\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/6)\/8*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:08 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102314421 (base 5) to base 6.\nAnswer: 123044255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**5 - 635*i**4\/4 - 625*i**3 - 1865*i**2\/2 - 620*i - 1069. Factor n(z).\nAnswer: -5*(z + 1)**3*(z + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 11*w - 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:20 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -55234, 2\/5 in increasing order.\nAnswer: -55234, -2, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 6*x**2 + 128*x - 11. Calculate r(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {u: 1, w: 1, d: 5, e: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 0 + 2*c**2 + 1. Let t(j) = 2. Let n(i) = -2*f(i) - t(i). Differentiate n(r) with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8 - (-2 - (-3 - -1))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2788 - 1356 = 0. Does 13 divide (d\/(-21))\/((-1)\/((-6)\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-1\/10)*(r\/(r**(-1)\/r))**36)**29 assuming r is positive.\nAnswer: r**3132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(171) + 2 - sqrt(171)) - (-2 + sqrt(171)*2)) + 4*sqrt(171)*-3 + -5 + sqrt(171) + -1)**2.\nAnswer: -78*sqrt(19) + 28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 - 567 = 8*w. Is 1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 3\/4 (b) 703 (c) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 34 = -24. Let j = 0 - -2. Suppose -v + 101 = h*o, o + 7*v = j*v + 28. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:13 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {h: 3, r: 1, x: 1, y: 1, f: 3, p: 5}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 743, 7, -0.22, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 - 2 = -b, -3*f + 6 = 0. Let t(d) = -d**2 - 2*d + 4. Let x be t(b). Solve 2*a - 2*z + 6 = 0, -3*z + 12 = -x*a + 2*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**3 - 32*f**2 - 289*f - 778. Give l(-5).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:33 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-16) + 60279350\/80. Let q = -1316492 + h. Round q to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 4*t - 3 + 9*t + 3*t**2. Let i be z(-6). Suppose -2*g + 60 = 2*c, c - 89 = -3*g - i*c. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**3 - 1298954 + 16*z**3 - 33*z**3 - 1298957 + 2597910.\nAnswer: -41*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -13. Which is the biggest value? (a) m (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -70, -145, -270, -445, -670, -945?\n\"Answer: -25*j**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 42, 65, 92, 123, 158?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -356 + 446. Calculate the highest common divisor of u and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 342 = -2*f - 3*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162458 is divided by 64?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n + 3*j - 5, 2*j - 12 = -4*n. Calculate the remainder when 36 is divided by (19\/n)\/(1\/4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 2, b: 6, h: 6}. What is prob of picking 1 b and 1 d?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 8, c: 4, m: 2}. What is prob of picking 2 u and 2 c?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(384\/72 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 5, 15, 25, 35, 45?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 755*g + 16 = -756*g, 0 = b + 5*g + 9 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 + 33*n**4 + 123*n**3 + 183*n**2 + 90*n = 0. What is n?\nAnswer: -5, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 3*i - 21*i**3 + 9 + 9*i**2 - 25*i**3.\nAnswer: -46*i**3 + 3*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0491093 millilitres in litres?\nAnswer: 0.0000491093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0221*662.\nAnswer: 14.6302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 6.36.\nAnswer: -0.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 18*n. Let z be 3 + ((-4 + 3)\/(-1) - 0). Suppose 0 = 5*c + 3*l - 12 - 50, 3*c - 43 = z*l. What is the remainder when h(2) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*j - 14661, 0 = -4*j - 14*z - 2*z + 19660. What is the remainder when j is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 337058?\nAnswer: -337057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183101220 and 1802.\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-32) - 1*(-3)\/12\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303 divided by 340?\nAnswer: -3303\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28614 and -7.\nAnswer: 200298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2 - 66747\/(-38)) + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -14*w**3 + 58799446*w**2 - 61738849205360*w + 26459496002400 = 0?\nAnswer: 3\/7, 2099980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 0.5. Let h = 19 + -20. What is the nearest to 2 in h, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 + -184. What is the tens digit of 10\/120*-3 - (-6162)\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 2*r - 4. Let x be p(2). Let s = -4 + x. Is 4*(-545)\/s*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -11*s**3\/3 - 3*s**2 + 337*s + 61. What is the first derivative of z(m) wrt m?\nAnswer: -22*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 + 324 - 6 + 518)*((-g - 2*g + g)*(2*g + 0*g - g) + g**2 + g**2 + g**2).\nAnswer: 1124*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 3189\nAnswer: -25\/3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192909 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39150, -78321, -117510, -156723, -195966?\nAnswer: -235245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.352788 rounded to one decimal place?\nAnswer: 83.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -5*(-3 + sqrt(75) + 4 + -1)) + -4)**2.\nAnswer: -7800*sqrt(3) + 68176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1. Let q(o) = o - 3. Let w(u) = -2*f(u) + 2*q(u). Calculate the least common multiple of 11 and w(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127418.\nAnswer: 2, 63709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2907 + 6327. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 75*r - 227. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 81. Let l(n) = 50*n**2 + 66*n**2 + 68*n**2 - 175*n**2. Calculate l(s(r)).\nAnswer: 81*r**2 + 4374*r + 59049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432692 to the power of 1\/2, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10270*c**3*i - 2*c**3 - 45*c**2*i + 6*c**2 + 237*c*i - 47932*c wrt c?\nAnswer: -61620*c*i - 12*c - 90*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200283.\nAnswer: 3, 101, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2. Let a(r) = -2*r + 4. Let f(q) be the first derivative of -q**2 + 5*q - 1. Let b(h) = -5*a(h) + 4*f(h). Give b(o(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 6*z + 2*z.\nAnswer: -4*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1084501109.169 + -1085283906. Let k = u + 783113. Let d = k - 316. What is d rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 11, o: 1, i: 6}. Give prob of sequence jg.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 40.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5 + 4030*j**4 - 173532*j**3 + 143524*j**2 + 43418974*j + 43097886 = 0?\nAnswer: -13, -1, 29, 1971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89946636?\nAnswer: 2, 3, 13, 576581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*i - 2*z = 168*i - 34, 0 = -3*z + 15 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584 - 12*w**2 - 549 + 23*w**2 + 1133 - 15*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3364, 6191, 9038, 11917, 14840?\nAnswer: 17819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/30 - l**4\/8 + l**3\/6 + 3*l**2. Let d(x) = x - 4. Let b be d(-3). Let k = 4 + b. Determine f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 777440 + -5?\nAnswer: 777436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2343 and -163\/86478?\nAnswer: 951258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12064 + -12052. Solve -z + v = 5*b + 2, 3*z + 2*b - 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 477.9989 - 478. Let r = a + 3.0011. What is the third smallest value in -4, r, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 6. Solve -f + i = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 - (-37)\/(-7). Suppose -483 + 135 = 6*c. Let j = c + 56. Sort j, 0, p in descending order.\nAnswer: 0, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 3 + 8*c**2 - 4*c**3 - 2*c**4 + 16*c + 4\/5*c**5. Determine l, given that r(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 6*b - 2. Give a(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 3\/4, 0.2, 2\/5, -20, 3 in descending order.\nAnswer: 3, 3\/4, 2\/5, 0.2, -20, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32768683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 292.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4135 * 7409.\nAnswer: 30636215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9201721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1287 - 887. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 + 92897536*q\/15 + 1078744024358912\/15.\nAnswer: 2*(q + 23224384)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 100010010110010011010?\nAnswer: -100010010110010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277553656788 + -0.3?\nAnswer: 277553656787.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + u - 54 = 0, 0 = -5*u + 3*u - 2. What is the lowest common multiple of 1440\/480*(11 + 0) and n?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1269 and 7\/15201.\nAnswer: 714447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.664626ml in litres?\nAnswer: 0.005664626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 15. Let v(a) = -a**3 - 32*a**2 + 10*a + 355. Let j be v(-32). Give i(j).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5088504*o**2 - 6*o + 6*o + 5088534*o**2.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.445 - 4?\nAnswer: 57.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -24. Let f = i + -8. Solve d - h + f = -3*h, -2*h = -2*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 228 = 2*y, y - 2*y + 119 = 3*m. Let l = y - 33. Suppose 6*x - 2*x = l. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(1\/68))**42\/((((k*((k*k**(2\/5))\/k)\/k)\/k)\/k)**(-4)*k*k**(3\/5)*k**(-3)*k) assuming k is positive.\nAnswer: k**(-211\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1113 and 391.\nAnswer: -435183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 63?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -16, -53, -116, -211, -344, -521?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14710*k + 4*k**2 - 2*k**2 - 5040*k + 2909*k - 2*k**3.\nAnswer: -2*k**3 + 2*k**2 + 12579*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15048233117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67\/88 + -153\/88. Sort 0, v, 4\/5, 2\/13 in ascending order.\nAnswer: v, 0, 2\/13, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*a = 32. Suppose -2*z - 3*s = -370, a*s - 557 = -5*z + 368. Let l = 260 - z. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509705+7814.283\nAnswer: -501890.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 - 3*o**2 - o**2 - 2*o**2 + 9*o as b*o + h*o**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 684558 + -101749. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276010599 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(616)\/sqrt(99))\/(sqrt(1152)*-2 + sqrt(1152))*2 + -2.\nAnswer: -1 - sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -14. Let x = w - -18.3. What is the closest to 2 in -0.5, x, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6715 - -6715.06. What is the closest to 4\/5 in l, -19, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = -16. Let w(t) = -t - 6 - 5 - f + 7. Give w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**2 + 8*j + 0 + 7\/6*j**3. Let g(c) = 3*c - 6. Let h(p) = -8*p + 15. Let v(x) = 5*g(x) + 2*h(x). Determine d(v(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 114\/5*q**2 + 0*q + 3\/5*q**3 - 18\/5*q**4 - 3\/5*q**5 - 96\/5 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -12*2) + 1. Calculate the greatest common factor of 208 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-1)\/3. Let s be -2*(0 - (1 - d)). Is s < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/((-4030)\/93)*(1140\/(-209) + 5)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*-3)\/(-1*sqrt(216)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1862.42 + 1878. Let k = r + -16. Let t = k - -0.42000116. Round t to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23102 + -1031?\nAnswer: 22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-5)\/(10\/(-14)). Let z = -11 + 15. Solve z*b + u = c - 4*c, -c - 4 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i. Let o(a) = 12*a**2 + 5*a + 10. Let p(j) = -13*j**2 - 6*j - 12. Let n(l) = 6*o(l) + 5*p(l). Give r(n(k)).\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356292113 to the nearest integer?\nAnswer: 18876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 99547020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1836 divide 11101012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620233 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n + 9. Determine g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/68)\/g**(-19))\/(((g**(29\/2)\/g)\/g)\/g*g*g\/g**(-42)) assuming g is positive.\nAnswer: g**(-2481\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*2 + (40\/(-6))\/(-2)*5802\/(-4835)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 290, 296, 302, 308?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -51.24 (b) 7 (c) -6 (d) -1 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 - 154052158400.\nAnswer: -154052158399.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/5 in -144\/101, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569117?\nAnswer: 569117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12411, -12400, -12389?\n\"Answer: 11*q - 12422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791484299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(208) - (sqrt(208) + 1*sqrt(208) + sqrt(208) - sqrt(208))) + sqrt(208) + sqrt(208))\/sqrt(4))\/(-3*sqrt(4)*1).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33750.68cm in millimeters?\nAnswer: 337506.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 68*l**2 + 10*l + 9. Let c(m) = m**2 - 20*m + 17. Let v be c(19). Is t(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*j*m**2*r*s + j*m**2*r + 23*j*r + 4*m**2*r*s + 21*m*r*s + 4*m*r + 2 wrt j.\nAnswer: 10*m**2*r*s + m**2*r + 23*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268.2 * 0.4484.\nAnswer: -120.26088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 66*b + 7*b = 360 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*b*f*q**2 - 2*b*f*q + b*f*t + 3*b*q**3*t + 2*b*q**3 - b*q**2*t - 2*f*q**3*t - 12*f*q**3 wrt q?\nAnswer: 18*b*t + 12*b - 12*f*t - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -77*d + 8. Let t(x) = 78*x - 7. Let z(n) = 5*b(n) + 6*t(n). Let c be z(6). Suppose 4*i - 4*s - c = 0, -5*s - 35 = -10. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 4432*y**2 + 75838*y + 187572.\nAnswer: -2*(y - 2233)*(y + 3)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i - 78*i - 525 = 0. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 12. Suppose 3*f + 36 = -2*j, 2*f + 9 = 3*j - 2. Let u be z(f). Put 2, -5, u in increasing order.\nAnswer: u, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 432 - 432. Solve z = -6*k + 2*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 0 + 14 + (-3 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u = -99*u - 42 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6593 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -1*sqrt(153).\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l - 1. Let c(a) = -52*a**3 - 6*a**2 - 5*a + 5. Calculate -c(u) - 5*i(u).\nAnswer: 47*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 3*6\/(-9). Let p be (-4 - s)*(0 - 4). Solve -2*l + l + 5*z = 13, 2 = 2*l + p*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144705 and 30.\nAnswer: 289410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 1, q: 2, v: 1, a: 2, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104.58 - -0.42. Let u = 106 - s. Which is smaller: u or 48?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -3*a - 21, -31 = -5*t + 3*a. Suppose -5*d + 5*h = -65, t*d - 29 = -h + 18. What is the least common multiple of 14 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.3. What is the third biggest value in 2\/9, s, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 19. Let c(q) = -38*q + 68*q - 32*q - 2 + 2. What is c(h(g))?\nAnswer: -10*g**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -g - 40, 11 = -3*g - 5*l - 141. Let f be (-60)\/(-33) - 8\/g. Let b(s) = 3*s**2 - 6*s + 3. Let n be b(f). Is n < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.5 + 38. Which is the fourth biggest value? (a) 0.2 (b) -2\/5 (c) 3\/4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36269*k + 35641*k = -22608 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8985*b**2 + 287520*b + 3. Give y(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 2. Let k be 2\/2 - (-16 + 19). Let r be 1 - (-10 + 9)\/(k\/6). Let b(o) = -155*o - 45. Calculate r*b(c) - 45*l(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + -5. Let a = f - -69. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 777\nAnswer: 5\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 4*x - 0*u, -3*u = 3*x. What is the derivative of -4*v**2 - 19 - v**x + 12 wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(1764)\/sqrt(3) + sqrt(12))\/sqrt(6).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -853038, -0.2, -3?\nAnswer: -853038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 - 666*p**3\/5 + 48792*p**2 - 4978190*p + 163072725.\nAnswer: -(p - 95)**3*(p + 951)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q**(-2\/27))**31 assuming q is positive.\nAnswer: q**(8308\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a + 4*a**2)*(-196 + 196 + 38*a + (-a - a + 3*a)*(3 + 3 - 4) - a + 0*a - a).\nAnswer: 152*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2 + 2506*l - 2 - 2435*l. Let b(t) = t**2. Determine b(p(n)).\nAnswer: 5041*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*c + 6 = 422*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90273 or -90256?\nAnswer: -90256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-4) - 87\/(-6). Let c(h) = 6*h - 67. Let a be c(m). Sort 5, a, -3, 1 in decreasing order.\nAnswer: 5, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 18 = -3*a. Let z = a + -36. What is z rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554310208.\nAnswer: 2, 223, 38839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367 (base 9) to base 8.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -182. Solve 0 = k + 2*k + l + 7, l = -5*k - d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 4, -850, 0 in ascending order.\nAnswer: -850, 0, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.4 rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s - 213 - 124 - 29*s.\nAnswer: -46*s - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**5\/5 + b**4\/4 - 7*b. Find the third derivative of t(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l - 159. Give o(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeehhvhehe. Give prob of sequence hy.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2641422 and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3869 (base 16) to base 15\nAnswer: 442b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -403239 + 402920.003. Let b = f - -320.236947. Let l = b + -1.24. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - (2 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.379 + -0.079. What is the third smallest value in s, 5, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*h + 6*t + 3, 16 = h + 2*t. Suppose -y + 1 = 3. Let w be 1*y - (-16)\/2. What is the highest common factor of w and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 937944256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -15 + -9 + (5 - -1 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 15*v**2 - 4. Calculate f(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 407 - 13*t**2 - 407. Let c(r) = -23*r**2. Calculate c(i(g)).\nAnswer: -1863*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67.999838 + -68. Round b to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13972249*o**2 - 224778664?\nAnswer: 27944498*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432 or 74?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4011744 and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 4960131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.1. Let k = -42536\/5 - -8507. Let q be (-3)\/36 - 1\/(-4). What is the biggest value in g, q, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.68912 nanoseconds in weeks?\nAnswer: 0.00000000000089565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**2*z**2 + t**2*z - 876*t*z + 5131*z**2 wrt t.\nAnswer: -4*t*z**2 + 2*t*z - 876*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 2, y: 10, m: 5}. Give prob of sequence ygy.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161742316?\nAnswer: 2, 40435579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(9\/(27\/12)*44\/(-264)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1225, -11, -14, 2, 1, 4 in increasing order.\nAnswer: -14, -11, 1, 2, 4, 1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5968155302911 - -0.29\nAnswer: 5968155302911.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/2280 and 43\/3420.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3472, 7096, 11010, 15358, 20284, 25932, 32446, 39970?\nAnswer: 48648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 8*k - 5. Let q be 43\/(-5) - (-4)\/(-10). Let o be x(q). Let v be (-272)\/(-72) - (-4)\/18. Solve 2*c = -4*l + 12 - v, -c = -3*l - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12637*g + 7. Let q be t(-11). Round q to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 4*i - 13. Let u(k) = -k**2 - k + 4. Let q = 0 + 7. What is q*u(v) + 2*b(v)?\nAnswer: v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7, -1, 52, -5 in descending order.\nAnswer: 52, 1, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12189186 to the power of 1\/2, to the nearest integer?\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (480972\/(-4768))\/(9\/2) - -22?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -35.15565\nAnswer: -0.3515565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 2*z + 1 - 4 - 12 - 3*z**3 + 0*z in the form k*z**2 + r*z + i*z**4 + f*z**3 + w and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7408 (b) 0.1 (c) 4 (d) 0.08 (e) -0.1 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(8064\/3320))\/((-10)\/8).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - -60 - (-50 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:02 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28847677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 4, h: 2}. Give prob of picking 1 m and 1 y.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1765, 3450, 5023, 6484, 7833, 9070?\n\"Answer: -56*q**2 + 1853*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(2*(15\/10)\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/30*(-12516)\/2384.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6\/(-5) - (-1)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3894.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 178\/7 + 3 + 17\/(-7). Let k = t - -1. Suppose 18 = 9*n - k. What is the closest to -0.2 in 3, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/2 (b) -8 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*c - 6, 6*h = 5*h - 5*c + 15. Suppose z = -5, -2*u + z + 154185 - 658180 = h. What is u rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/603 (b) -0.01 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1 - r**3 + 2 + 2*r**2 - 4*r + 2*r**2. Let f be i(3). Factor -4*s - 1 + f*s**2 + 2*s**2 + 3.\nAnswer: 2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 50. What is the smallest common multiple of a and (-12 + 13)\/(3\/57)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 2:18 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -175*f. Let p(h) = 2*h**2 + 34*h. What is l(p(m))?\nAnswer: -350*m**2 - 5950*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**48\/((o*o**(-6))\/(o*o**(-18))) assuming o is positive.\nAnswer: o**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 + 443.5. Let f = l - 100.69992. Let n = f + 0.2. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 762360 - 1842958 = 0. What is d rounded to the nearest one thousand?\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719335830159 - 719335830159 + 157*l**3.\nAnswer: 157*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1)\/(-2) - -1. Suppose -2 = 2*y + 2*o, 3*y - o + 6 - 23 = p. Let w(s) = 2*s**2 - 2*s - 4. Does 9 divide w(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqqqqqoqq. Give prob of picking 2 f and 1 q.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59.7 times -0.495\nAnswer: 29.5515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -3\/2 (c) 0.1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -3552525?\nAnswer: -3552524.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4785285l in millilitres?\nAnswer: 478.5285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9173, -9183, -9193, -9203, -9213?\n\"Answer: -10*i - 9163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i. Let p(o) be the first derivative of -5*o**3\/3 - 2*o - 486. Calculate p(h(w)).\nAnswer: -125*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7)*(-72 + -28 + 14 - 7).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f - 10, -3*w - 9 = -0*w. Suppose -11 = f*q - 1. Let y = -8 + 4. Sort 2\/9, y, q in decreasing order.\nAnswer: 2\/9, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 7*l**4\/6 - 67*l**3\/6 - 149*l**2. Let o = 29 + 14. Calculate the remainder when o is divided by v(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 9*g - 8. Let d(n) = -7*n**3 - n**2 - 18*n + 16. Calculate -2*d(v) - 5*q(v).\nAnswer: -v**3 + 2*v**2 - 9*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2947516077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 2\/7 (c) 0.7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-7) - (-25380)\/224. Let d = 113 - x. Suppose 3*f = 3*k, 0 = 2*k - 4*f + f. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 + 7*s**2\/3 + 31*s\/6 + 8\/3.\nAnswer: -(s - 16)*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 68. Is r(11) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/10 + (71 - 63).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/80 and 4 + (4 - -2)\/144.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 14*k - 1. Let w be v(5). Suppose -4*t = -w*y - 9*t + 435990, -2*y = -4*t - 218008. Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1342 (base 6) to base 13\nAnswer: -20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -419, 5, 10 in descending order.\nAnswer: 10, 5, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/25 of a kilogram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34835724 by -11611908.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -832, -1038, -1286, -1576, -1908?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49608 = -10*k + 34*k. Suppose 0 = -4*q - 11 + 27, 0 = h - 5*q - k. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18852638 is divided by 9426259?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 818*o**2 + 6*o - 943. Let z(p) = -2458*p**2 - 20*p + 2829. Let w(i) = -10*f(i) - 3*z(i). Find the first derivative of w(d) wrt d.\nAnswer: -1612*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) 6 (b) -3 (c) 0 (d) -0.02 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3809.8 + 3810. Which is the third biggest value? (a) -2 (b) u (c) -1.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w**1\/w))*(w*w**(1\/4)*w)\/w*w)\/(w**(-2\/21)*w*w**(-1\/3)))**(-7\/11) assuming w is positive.\nAnswer: w**(-19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*4\/((-168)\/(-9))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 6*u - 2546 = -15122. Is u less than -2753\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:20 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2048\/352 + 2\/11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*x*z - a*z - 105*a + 11998467*x*z - 7193*z wrt x?\nAnswer: -2*a*z + 11998467*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3410*i. Let t(h) = -2*h. What is y(t(o))?\nAnswer: -6820*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (26210\/317141)\/((-2)\/11)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/187)\/((-12)\/36).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 185. Which is the nearest to -5\/8? (a) -0.6 (b) -1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.54251 tonnes to kilograms.\nAnswer: 11542.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**15*w)**(-1\/17))**(-7\/8))**17 assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s + 2483456 + 2*s**2 - 2483456.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*s + 4, 7*t - 2*t = s + 2. What is the remainder when 58 is divided by (-42)\/(-3) - (-3 + t - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {c: 2, d: 3, q: 3, o: 11}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1 - (480 + -513)) + -1 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**2 - 21*f**2 + 11*f**2 - f**2 - 4*f**2 + 3*f**2 + (2*f + 5*f - 5*f)*(f - 2*f + 0*f) - 1 - f**2 + 1 + 1 - 1 + f**2 + (2*f + 1 - 1)*(f - 2*f + 0*f).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/7701 + 7709\/61608. Let j(l) be the second derivative of s*l**4 - 3\/8*l**2 + 0 - 1\/56*l**7 - 1\/40*l**6 - 1\/8*l**3 - 33*l + 3\/40*l**5. Factor j(y).\nAnswer: -3*(y - 1)**2*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -127*k**2 + 14*k + 27. Let o(v) = -127*v**2 + 13*v + 18. Give -2*a(t) + 3*o(t).\nAnswer: -127*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 3*y**3 - 27*y**3 + 9*y**2 + 9 - 2*y. Let n be p(7). Let d = n + 177151\/18. Calculate the common denominator of -37\/2 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5694*0.1.\nAnswer: -569.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76259212 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080615575 a multiple of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-21))\/(((-140)\/24)\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-1261)\/(-2))*(3 + -6). Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/5 - 36*q**3\/5 - 74*q**2 + 468*q\/5 + 160 = 0.\nAnswer: -8, -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5760 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1 + 0*n + 8*n - 61473*n**2 + 61472*n**2. Suppose -4*j = 3 - 19. Suppose -j*r = -5*r + 7. Give c(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(6\/17)*m*m)**50\/(m**16)**(23\/4) assuming m is positive.\nAnswer: m**(1286\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 equal to -840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 14. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 1\/30*i**5 - 1\/3*i**3 + 0*i + 22*i**2 + 0 + 1\/24*i**4 - 1\/120*i**6. Determine s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s**2 - s. Let k = -12 + 13. Let h be b(k). Let u(r) = 4197*r**2 + 6*r - 3*r - 4200*r**2. Let i(o) = o**3 + o**2 - o. Give h*u(n) - 3*i(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-12)\/(-33)*(-385)\/(-35))\/3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4\/(-32)*12. Let n be (-99)\/22*(-4)\/g. What is the second derivative of -6*i + n*i + 7*i**2 + 8*i - 3*i**2 wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*k = -73, 3*p + 3*k - 31 = -10. Let n(d) = 10*d**2 - 1. Let g be n(1). Let s be g\/(-6)*(-80)\/6. Solve s = -5*t - 3*m + 5, -4*t + 3*m = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**6)\/i**(-4) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33007084 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-153515)\/40 + 2\/(-16). Let l = v + 138191\/36. What is the common denominator of l and -91\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56*(-150)\/24570)\/((-2)\/9)?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307*h**2 + 44*h**2 + 65*h**2)*(3*h - 5*h - h) - 3*h**3 + 0*h**3 + 2*h**3.\nAnswer: -1249*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(2))**2 + sqrt(2) - (sqrt(2) + sqrt(16)\/sqrt(2) + sqrt(2)).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 5\/18*b**3 - 2 - 2*b + 1\/60*b**5 + 1\/3*b**2 + 1\/9*b**4. Let f(n) be the first derivative of v(n). Factor f(i).\nAnswer: (i + 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 46 = 2*o - 12*o, -4*o - 2*r = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8589993*v**2 - 16*v + 2. Let l(i) = 8589994*i**2 + 15*i - 3. Let d(h) = 7*l(h) + 6*s(h). Let z be d(1). What is z rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6648626.\nAnswer: 2, 1051, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1031308 * 8.4.\nAnswer: 8662987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -668*1091.22\nAnswer: -728934.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by 9234?\nAnswer: 167\/4617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adwwzwwwwwzdwawawd. What is prob of picking 2 z and 1 d?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d2d11b3 + -1?\nAnswer: d2d11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 1 c when three letters picked without replacement from ggcumuhmkcmm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/42 + h**5\/10 + 3*h**2. What is the third derivative of u(i) wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644232440 a multiple of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 8) in base 11?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 92*m**2 - 91*m.\nAnswer: -m*(m - 91)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380098535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 126*q - 2*q**3 - 126*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 25 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6. Let p(v) = 4*v**2 - v - 25. What is -9*k(m) + 2*p(m)?\nAnswer: -m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2\/29, -0.73, 5, -1, -2 in descending order.\nAnswer: 29, 5, -2\/29, -0.73, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - 1?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 4571424*o**3\/5 - 10971492*o**2\/5 - 3657168*o\/5 = 0. Calculate o.\nAnswer: -2, -2\/5, 0, 304764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 + 4*g + 5. Let h be c(5). Let o(j) = j**2 + 6*j - 1. Let t be o(-6). Sort t, h, 3 in decreasing order.\nAnswer: h, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:33 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8197.383 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 + 82*p**2 - 4351*p + 44528 = 0.\nAnswer: -121, 16, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/167328 and 143\/6720?\nAnswer: 1673280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3)\/((-7)\/91) + -24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337 + -337. What is the closest to m in 2\/5, -121, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 20 + 47 = -6*f, 2*t = -2*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 13?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 2, u: 1, e: 1}. Give prob of sequence ue.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*r - l**3 + 701*l**2*r - 2*l*r + l - 104*r - 2 wrt l?\nAnswer: 6*l*r - 6*l + 1402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/68 and 19\/66827?\nAnswer: 267308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*s = 21 - 14, -4*b + 7*s = 38 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4047*r - 52550. Determine f(-13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-10)*(-70)\/21. Suppose g - 8 + m = 0. Suppose g*x + 101 = 5*y, 0*y + 5*y = -3*x + 108. What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)\/j*j)**23\/(j**(2\/7)*j*j**8) assuming j is positive.\nAnswer: j**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**5 - 35*s**4 - 250*s**3 + 760*s**2 + 2720*s - 3200 = 0.\nAnswer: -4, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**5\/45 + 5*d**4\/36 + d**3\/9 - 5*d**2\/18 - 4*d\/9 - 16. Let a(c) = 0. Calculate c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69981266 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c**2 - 57260 + 114388 - 57128.\nAnswer: 85*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + sqrt(272) + -4 + 2 + -3 + -5)**2.\nAnswer: -48*sqrt(17) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)*z)\/z)\/(z\/(z\/z**(-4)))*z**(1\/8)\/z**(-5\/6)*(z\/z**(3\/4)*(z**8*z)\/z)\/(z**(-2\/31)*z*z**6*z) assuming z is positive.\nAnswer: z**(4543\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 - (-1 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 + 2*x + 3. Let n be d(-3). Let l be 120\/(-36)*n\/(-4). Let a = -4 + 8. Solve a*w = -v - 7, -l*w = -0*w + 2*v + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 9*w**2 + 28*w + 47. What is b(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (10\/(-15))\/((-2)\/33). Suppose -x = x - 14. Suppose 3628 = l*w - x*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, 3\/2, -0.5, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3011, 5937, 8853, 11759, 14655?\n\"Answer: -5*u**2 + 2941*u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-17 - (-14 - 0) - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.347 + -1.347. Is m greater than or equal to 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 7. Let q(k) = 5*k - 7. What is -5*q(v) + 6*s(v)?\nAnswer: -v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let w be (2 - (0 + 1)) + s. Suppose w = -y + 5. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*b + 180. Sort -5, -4, -8, b in increasing order.\nAnswer: -8, -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 9*f + 12. What is h(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17061, -3, -97.\nAnswer: -17061, -97, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/141, -4, 81\/196 in descending order.\nAnswer: 81\/196, 1\/141, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f. Let b(u) = -3*u - 6. Let t(j) = -6*j - 13. Let l(y) = -13*b(y) + 6*t(y). Give k(l(r)).\nAnswer: 51*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose 0 = q*k - 4*t + 10, -k - 2*t = -3*k - 4. Let d = 0 - 0. Sort d, -1, k in increasing order.\nAnswer: -1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2 + 7 + 10*c - 9*c. Let t(a) = a + 12. Let n be t(-5). What are the prime factors of z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -70*k**2 + 76*k**2 + 84*k**2 + 16*k**2. Let q(p) be the third derivative of -p**5\/20 + 2*p**2. Determine q(t(u)).\nAnswer: -33708*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-200)\/(2\/(3 - 333)). Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3 - 17*c. Calculate d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.2 (c) -13\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 496, 6, 3, -5, 4 in ascending order.\nAnswer: -5, 3, 4, 6, 39, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 19 - 30. Which is the closest to g? (a) -2 (b) 0 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -4, 397, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/120 + f**5\/20 + f**4\/12 + f**3\/6 - 8*f**2. Determine k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5250 (base 16) to base 7\nAnswer: -115302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*p - 9 = -0, 3*p = -5*v - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + 0.31. What is the smallest value in -0.1, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 31 + 31)*(2*p + 16 - 16)*((-1 - 5 + 5)*(-3 - 3 + 3) + 1 + 0 + 0)*(1 - 3 + 4)*(p**2 - 2 + 2).\nAnswer: 272*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3772 + 849. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c - 1. Calculate s(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3223704679 to the nearest integer?\nAnswer: 56778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -10. Let a be ((-2)\/40)\/((-885)\/(-24680)). Let z = a - 1\/177. Is z greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*i, -2*i + 3 = -2*s + 5. Suppose -s + 0 = -n. Suppose l + 6 = 5*r + 1, 2*r = 2. Solve -a + 3 = -z, l*a - 10 = n*a + 2*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*o - 37*o - 73*o + 124*o to the form b*o + c and give b.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -34419845.\nAnswer: 1\/34419845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000 (base 2) in base 5?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2388 and 47\/177110?\nAnswer: 1062660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - t**2 - 4*t - 4. What are the prime factors of h(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4. Let v be o(8). Let k = -39 + v. Let h = k - -94. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1)*5*-5.\nAnswer: -25*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:01 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/5, -0.06, 0.1, -0.2, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2 + 3296*a + 49881.\nAnswer: -8*a + 3296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, 42, -4, 5\/43?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.59 rounded to 0 decimal places?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(432) + sqrt(432) + -1 + sqrt(432) + sqrt(432)*1 + 4)*3)**2.\nAnswer: 6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 20\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 9*y - 1308. Let p be r(-32). Solve 8*x - 33 = 13*x + 2*t, 0 = -p*x - t - 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3998*d**2 - 19988*d + 79. Give t(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 0 + 7*g - 4*g**2 - 4 + g**2. What is c(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 + 485*v. Let l(h) = 2*h**2. What is d(l(m))?\nAnswer: -16*m**4 + 970*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 9*v - 9. What is b(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 2\/15*h**5 + 0*h + 0 + 0*h**3 + 5*h**2 + 0*h**4. Let z(n) = -3*n. What is f(z(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3403 and -6\/5?\nAnswer: 17015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1688, 1715, 1744, 1775, 1808, 1843?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 2*v**3 + 0*v**3 - v**2. Let u be w(0). What is the units digit of 7\/(-3)*-3 - u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**5 + 2*f**5 + 3*f**5)*(-4 + 4 - 2) + (f**4 - f**4 + 2*f**4)*(-3*f + 2*f - f) + 0*f**5 - 3*f**5 - f**5.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 97*w**2 + 4. Let u(m) = -194*m**2 - m - 11. What is 5*o(z) + 2*u(z)?\nAnswer: 97*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/120 - (-2)\/6. Let v(w) be the second derivative of -f*w**5 + 0 + 1\/72*w**4 + 1\/36*w**3 - 1\/12*w**2 - 2*w. Solve v(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3990 and 2620290?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1607 or 1846?\nAnswer: 1846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) 121 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o**2 - 336. Let b(z) = -3*z**2. Calculate -3*b(v) - s(v).\nAnswer: -3*v**2 + 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 88, 78, 54, 10, -60, -162?\n\"Answer: -n**3 - n**2 + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtggtngtggzgtggt. Give prob of sequence tzng.\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271352548 to the nearest integer?\nAnswer: 16473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 + 34 = 0. Let z = 22 - m. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267 + 470. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 + 2455*s**2 - 68152*s + 475692 = 0 for s.\nAnswer: 14, 2427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-z + 0*z + 0*z)*(39 - 23 - 2*z - 18).\nAnswer: -4*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 53*n + 874. Calculate the remainder when 508 is divided by r(-26).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*h - 5. Suppose h*d + 19 - 7 = 4*b, -2*b = 2*d - 12. Is (-695)\/(1\/(b + -5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/3 and 45\/7935082.\nAnswer: 23805246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -2, -204?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 130*m - 129*m - 9387, -2*w + 5*m = -3771. Is w a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -89, -87, -85, -83, -81?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:34 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/10 - -23\/20. Let i(w) be the second derivative of 0*w**2 + 0 - k*w**4 + w - 1\/3*w**3. What is the second derivative of i(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -3009, 0.048?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.153 + 2011353.\nAnswer: 2011353.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let y be 1 - 50\/56 - 11\/(-77). Let t = y + 5\/12. What is the closest to -0.1 in q, 5, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000100339961 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131574*x**3 + 131563*x**3 - 263131*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2525310 and 796?\nAnswer: 5050620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 8 + 10. Let c(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + 4*x**3\/3 + x**2. Is 2 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*l + 374, -4*o = -2*l - 904 + 172. What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 147?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/12 + u**3\/6 + 4*u**2. Let a be v(1). Let j be 2 + 7\/(-9) + -1. Are a and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 + 9*r - 5. Let l be s(4). Let p be (1 - 3) + (1 - 3). Let q = l - p. Solve -4*a + q = 3*o - 5*a, 0 = -3*o - 2*a + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*z - 3. Suppose z*p + 5 - 11 = 0. Let s be 5 - 1 - (-48)\/(-12). Solve 5*o + p*y - 15 = o, -o - 2*y + 10 = s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 - 1063168*t**3 - 1063148*t**2 + 4252672*t + 4252656 = 0.\nAnswer: -265791, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 236774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/63 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*(k*k\/k**(-3))\/k))**33)**(15\/11)\/((k\/k**2*k*k\/(k\/(k*k\/k**(1\/4)*k))*k)\/(k*k**(-1\/3))**(-13\/3)) assuming k is positive.\nAnswer: k**(-8339\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j - 78 - 30 + 85.\nAnswer: -15*j - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 86.6 and -0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 14. Let x be ((-10)\/(-6))\/((-2)\/(-78)). Suppose -13*b + x = -13. Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*v**2 + 2*v**2 + 10 + 164 - 301*v**4 + 191*v**4 wrt v?\nAnswer: -440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:45 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.9999961 + 56. Round c to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -489557, -489556, -489555?\n\"Answer: n - 489558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -0.19, 1\/7, -7\/2, -1.04.\nAnswer: -7\/2, -1.04, -0.19, 1\/7, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 131, 128, 123, 116?\n\"Answer: -d**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + n**2 + 0*n**2 - 4*n**3 + n - 6*n**3 to i + z*n**3 + v*n**2 + c*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + z**3 - 1 + 3*z**2 + 0 + z. Let p(j) = j + 8. Let c be p(-6). What are the prime factors of b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 4*h + 24, 4*o = -h + 32. Suppose -5*n = -o*n. Suppose n = -4*w - 3*w + 12859. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 12991462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25263.5 * -3.\nAnswer: -75790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 541776 and 210.\nAnswer: 18962160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -57 (c) 0.07 (d) -3\/310 (e) 4 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 + 2*z + 41*z**3 - 20*z**3 - 20*z**3 + 5*z**2. Calculate f(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001276246 to 5 dps.\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2150144267 to three decimal places.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 89*s**2 + 47*s - 94. Let z be q(45). Put -5, z, 2, 3 in decreasing order.\nAnswer: 3, 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 15038848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1658337, -1657926, -1657515?\nAnswer: -1657104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -c - 95 - 19, -2*f = 2*c - 220. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -850*i**4 - 7*i**2 - 12*i - 2 wrt i.\nAnswer: -20400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1203, 1217, 1351, 1611, 2003, 2533, 3207?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 58, 115, 176, 241?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let f = 3 - g. Let l = 0 + 0.3. Which is the third biggest value? (a) 5 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0c (base 16) to base 7.\nAnswer: 10333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -2*sqrt(325)*1 - ((sqrt(325) + 2 + sqrt(325))**2 + 3).\nAnswer: -1307 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 500 = -p, -p = 4 - 0. Let q = 1070 - h. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1848 + -1533. What is the highest common factor of y and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13733109 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 1. Let x(u) = -8*u. Let q = 540 - 542. Determine q*c(g) - 3*x(g).\nAnswer: 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s**3 - 76*s**2 + 61*s - 3. Determine t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and -103\/2418.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + 14*u**2 - 21*u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) + (-49)\/(-14). Suppose 80 = -x*r + 8*r. What is the units digit of 229\/4 - 4\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/11 - 12*n**3\/11 - 16*n**2\/11 - 6*n\/11.\nAnswer: 2*n*(n - 3)*(n + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*j - 20 = 0, -7*s + 4*j = -2*s + 11. Sort 4, s, -48 in decreasing order.\nAnswer: 4, s, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 132. What are the prime factors of t?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/8 - (-1)\/(-2). Let d = -0.03 + -3.97. Let v = -19744 - -19743. Which is the nearest to d? (a) v (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, -1, -3 in increasing order.\nAnswer: -24, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1 - 1 + 8 + 5*r - 4*r - 2. Let j = 10 - 3. Suppose -3*i - j*n = -5*n - 1, -15 = -3*n. Determine q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/20)\/(-4) - ((-5)\/4 - 3117581\/(-1269140))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-14)\/(-72)*-1. Let r = -11\/12 + b. Suppose -f + 3*g + 2 = 7, 3*f + 4*g + 2 = 0. Is r greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 9*i - 6. Let u be p(-6). Suppose 5*o - 3*x - 134 - 121 = 0, -5*x - 217 = -4*o. Calculate the greatest common divisor of o and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*5 - (4 + -1). Let h be (b\/9)\/((-4)\/(-6)). What is the second derivative of -h*a**4 + a**2 - a**2 + 2*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -5. Suppose 282 = 5*u - 256*y + 254*y, 7*u - 354 = -4*y. What is the smallest common multiple of z and u?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 10*z - 38. Let j be g(-13). Sort 4, j, 2, -3.\nAnswer: -3, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t + 4*k = 54*t - 3792, 5*t - 2*k - 18996 = 0. Calculate the greatest common divisor of t and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**32)\/(p*p**(-6\/25)\/p)*(p**(2\/41)\/p)\/(p**(1\/6)\/p) assuming p is positive.\nAnswer: p**(203701\/6150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12415 times -119\nAnswer: -1477385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.023721+-1912324\nAnswer: -1912323.976279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**28\/(y**4*y**(2\/37)) assuming y is positive.\nAnswer: y**(-3258\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110132 (base 5) in base 14?\nAnswer: -154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 4166*j**3\/3 + 58471*j**2\/3 + 204820*j\/3.\nAnswer: -j*(j - 4180)*(j + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1034 (base 14) to base 13\nAnswer: -1368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 6\/5, -16\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1655 + 1817.1. Let z = r + -30.7. What is z rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**3 + 10*a**3 - 11*a**3)*((4 - 3 - 2)*(2*a + 0*a + 2*a) - 7*a + 1529 - 1529 + (-1 + 2 - 2)*(-4*a + a + a) + 3*a - 4*a + 2*a).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.5 (b) -5 (c) -2\/13 (d) 0.1 (e) -1\/4 (f) 683\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5 + 7 + 8 - 10 + 1 + 21*j. Let d(l) = 13*l. Determine b(d(s)).\nAnswer: 273*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 58, 231, 568, 1123, 1950, 3103, 4636?\nAnswer: 6603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4240410424 (base 5) to base 4\nAnswer: 202001213001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41146347.\nAnswer: 3, 11, 463, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 120 = -16*k. Solve k = -17*m + 13*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 59. Let l = 3 + -3. Suppose s = 5*r - l. Solve q - r*q - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -12 + (40 + 1 - (-60 + 50)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 12*q**2 - q - 6. Suppose 0 = 3*n + 41 - 5. Let k be v(n). Solve -a + 1 = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/9, 3108, -4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152\/7 + 22. Determine v, given that -4\/7*v**2 + w*v**3 + 0 + 0*v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 3, r: 4, n: 7, t: 1}. What is prob of picking 3 r and 1 b?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljjj when four letters picked without replacement from {z: 2, j: 9, l: 5}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/3932123 + -338929342057\/94370952. Let w = n - -3592. Find the common denominator of w and 49\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0.1, -189 in decreasing order.\nAnswer: 0.1, -4, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-four fifths of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, 9, 3387, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45460 (base 9) to base 16\nAnswer: -763b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8*x = 4*x + 420, 2*m - 3*x - 215 = 0. What is the third derivative of c**2 + 408*c - 202*c - c**2 + 2*c**2 + m*c**3 - 202*c wrt c?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 10 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - 14 + 53 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d)\/(d*d*(d*d**14)\/d*d*d*d))**(-10) assuming d is positive.\nAnswer: d**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 78. Let t(y) = -3*y - 79. Determine -4*n(g) + 3*t(g).\nAnswer: -g + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -735, -968, -1195, -1410, -1607?\n\"Answer: s**3 - 3*s**2 - 231*s - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/20 + 2 + -1. Is 2\/3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -22 + 43 + (-4 + 4 - -4) + 5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1 - 1)*-1. Suppose -2*l - 12 = -f - 2*f, -5*l + f = 17. Let t = -36 - -34. Sort j, t, l in increasing order.\nAnswer: l, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/5)\/j**(2\/53)*j**(-12\/11)*j**(-23\/3)\/j assuming j is positive.\nAnswer: j**(-89158\/8745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/3)*f*f*f**(-20)*f)**12 assuming f is positive.\nAnswer: f**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 - 4 - 6*v.\nAnswer: -6*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 99*n**5\/10 - n**4\/12 + 407*n**3\/3 - n**2 - 7*n + 25. What is the second derivative of i(m) wrt m?\nAnswer: 1188*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 11\/6*o**3 + 0 + 1\/20*o**5 - 31*o**2 + 0*o**4 + 0*o. Let d(m) = -m**2 - 3. Give 22*d(h) + 6*t(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 40 - 42 + 82.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1077 divide 1572005266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Let r(u) = 3*u**2 + 5*u + 5. Let p(j) = -j**2 + j + 1. Let o be 4\/6*(-15)\/(-2). Let f(g) = o*p(g) - r(g). What is f(s(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -162 - 233?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167\/21 - -23\/3. Which is the second smallest value? (a) v (b) 3\/5 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(0 - 2 + 4)*(2*s - s + 5*s).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*d - 20 = -h - 833*d, 3*d = 2*h - 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:23 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 9086189\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258939 = 87*b - 2264985. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 28*z + 29. Let j(v) = -6*v**2 + 42*v + 44. Let i(n) = 5*j(n) - 8*t(n). Let h be i(8). Solve y + h = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2419*-195\nAnswer: 471705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320 + 187 - 14*q**2 + 129.\nAnswer: -14*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 855 = 443. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2870592, -5741165, -8611738, -11482311, -14352884?\nAnswer: -17223457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2815475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 77*n + 85. Calculate p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -144, 3\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 764169*l + 1899645?\nAnswer: 764169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d + 9. Let h be (-6)\/d*(-3)\/9. Let l = 37 + -187\/5. Sort l, h, 2\/5 in ascending order.\nAnswer: l, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/13797836 and -61\/183699?\nAnswer: 124180524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-142)\/126*(-3)\/4. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**3 + c**4 - 4*c**3)*(-14 + 23 + 10)*(6 - 23 + 4) to the form x*c**3 + m + v*c**2 + d*c**4 + n*c and give d.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 3\/4, -2, -1\/7 in ascending order.\nAnswer: -3, -2, -1\/7, 3\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 24 = 73298*m - 73301*m, 28 = -4*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 54383*h**3 - h**2 + h. Let t be y(1). Suppose t = 3*i + 15326. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64244932 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11b3 (base 15) to base 16\nAnswer: -eb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppccccvcciip. What is prob of picking 1 v, 2 i, and 1 c?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493 + 249 + 408*f + 246 - 430*f.\nAnswer: -22*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**4 - 74*r**2 - 348*r - 10. Let c(n) = -3*n**4 - 73*n**2 - 347*n - 8. Let d(q) = -5*c(q) + 4*h(q). Find the second derivative of d(m) wrt m.\nAnswer: -60*m**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07327999 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 + 7*z + 6. Let s = 4 - 10. Let o = s + 4. Let d be (-5)\/((-1)\/(2\/o)). Determine m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399262337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3844, -5172, -7388, -10492, -14484?\nAnswer: -19364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - r. Let g be n(2). Let z = g + 10. Let j(y) = 2*y - 22. Let x be j(9). Put -1, z, x in decreasing order.\nAnswer: z, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268749 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166118125960 minus 1.6?\nAnswer: 2166118125958.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*s - 55*s + 121584 = 329*s + 2427*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(1*(sqrt(1377) + sqrt(1377)*-3)*-5)**2.\nAnswer: -688495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12421512 and 17186?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110866482733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168415043?\nAnswer: 168415043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000143372 to 7 dps.\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/((h*h\/h**(-1\/2)*h)\/h)*h)))**(-6\/23))**(1\/17) assuming h is positive.\nAnswer: h**(3\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1223 - 23.1223. What is the second smallest value in 3, 0, f, 1\/2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1168 + 1558. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - r + 10*r + 5*r. Give p(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (33 - 76) - (8 - -3 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 135440?\nAnswer: 135432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 8*c**2 + 4*c + 10. Suppose 0*a - 8 = -a. Is o(a) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80028d (base 14) to base 10\nAnswer: 4303109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 2149?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-54)\/1))\/((-7)\/28).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 7*h**2 + 3*h + 10. Let i(z) = -2*z**3 - 5*z**2 - 2*z - 7. Let u(l) = -5*f(l) - 7*i(l). Let j(c) = 14*c**3 + 14*c + 12. Give j(q) + 12*u(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 9:26 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 + (11 - 5)) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-630)*(-70007)\/20002?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979636?\nAnswer: 2, 659, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(104\/120 - 4\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190310, 761255, 1712830, 3045035?\nAnswer: 4757870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 divided by 181?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 778253*r. Let l(j) = 10*j**2. Determine q(l(z)).\nAnswer: 7782530*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 42*m**2 + 242*m**2 - 5 + 336*m**2 to i*m + w*m**2 + f and give w.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 14 = -8. Suppose -2*q**u + 0 + 6*q - 2 + 4 + 6 = 0. Calculate q.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*m - 4*p, 0*m - 2*p - 10 = -m. Suppose -3*o - 2*k + 6*k + m = 0, k = 3*o - 5. Which is the third smallest value? (a) 0.1 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 greater than -19831\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -31 + 64 + 0 + 3 + -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -6 (c) 1\/3 (d) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 2881942.\nAnswer: 230555.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20149886, -20149894, -20149902, -20149910?\n\"Answer: -8*f - 20149878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001349 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**3 - 17*g**2 - 28*g + 11. What is v(-2)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.044 (b) 2\/6667 (c) 2\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -77 - 35. Suppose 2*q = 6, 4*j + 2*q - 18 = u. What is the lowest common multiple of 22 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2 + 18*c - 70. Calculate f(8).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 20\/127?\nAnswer: 20\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {d: 4, e: 1, p: 2, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y**3 + 27. Let a(u) = -u**3 + 1. Let w(v) = -6*v**2 + 21*v - 9. Let k be w(5). Give k*a(h) + 2*j(h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*s**2 + 48*s**2 + 141*s**2 + (6*s - 3*s - 4*s)*(0*s - 3*s + s).\nAnswer: 113*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 14*a - 12. Let j(b) = 3*b**2 - 15*b - 13. Let d(m) = -5*h(m) + 4*j(m). Factor d(n).\nAnswer: 2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 20. Let m(a) = -a**2 + 9*a - 8. Let h be m(7). Let l be s\/h + (-7)\/21. Calculate the greatest common factor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*(-58)\/2871*44\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1465 divided by 3\nAnswer: 1465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3. Let i(w) = w**3 - 18*w**2 - 19*w. Let z be i(19). Let r be x(z). What is the second smallest value in 2\/7, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 5, 974, -5, -4 in descending order.\nAnswer: 974, 12, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060 divided by 85?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -242784.\nAnswer: 485568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.33 and -992313.\nAnswer: -4296715.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -48. Suppose -45*i + y*i = -2508. What is i rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482368231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k - 25*k - 4 + 16*k. Let m be i(8). Suppose 4*h = -0*h + m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let b be (z\/(-8))\/(12\/(-96)). Suppose 4*u = q - 5, -4*q + 64 = b*u + 8. Calculate the remainder when 62 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0\/(-1))\/(-5) + 440 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -2 (c) -0.928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00179924298 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -33. Let p be ((-210)\/z)\/(6\/(-16)). What is the remainder when 53 is divided by (88\/p)\/((-4)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3804.499 centuries?\nAnswer: 38044.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.002 (b) 11044 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.1 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141877*d**2*u - 604*d - 221*u wrt d.\nAnswer: 283754*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/679 - -7\/1164. Let r(b) be the third derivative of 0 + 0*b**3 - z*b**6 - 1\/30*b**5 + 13*b**2 - 1\/42*b**4 + 0*b. Find p, given that r(p) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0\/(3*(-6)\/(-18)). Let f(h) be the first derivative of 0*h - 8 + w*h**2 - h**4 + 8\/3*h**3. What is the third derivative of f(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 71 (b) 52 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2716 and 341052.\nAnswer: 2387364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = 3. Let w(l) = -3*l - 2*l**f + l**2 + 1 - 5 + 0. Let m(a) = -a**2 - 2*a - 3. What is 4*m(v) - 3*w(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 1, -43, -147, -335, -631, -1059, -1643?\n\"Answer: -4*f**3 + 6*f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2. Let z(w) = -2872662*w. Give z(p(a)).\nAnswer: 8617986*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20249*v + 378942.\nAnswer: 20249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*a + 35, 0 = 2*a + 3*a - u - 77. Let y = a - 21. Let q be y\/21 - (-69)\/21. Solve 0*x + x + 3 = k, -4*k - q*x + 19 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4\/13, -3, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b - 1. Let i = 0 - 5. What is the units digit of k(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 146. What is the hundreds digit of g - (-2 - (-4 - -598)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (0 - 6)) + -8 + -1. Let s be (d\/(-20))\/((14\/20)\/7). Suppose -2*z + 354 = i, 5*i = s*z + i - 696. Is z a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1661, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1932 and 84.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(648) + -6*sqrt(648) + sqrt(648)) + -3.\nAnswer: -3 - sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 663 or 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 43*r**2 - 193*r + 128. Let a = 182 - 113. Calculate the remainder when a is divided by g(38).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**(16\/9)*j**(-1\/6)*j**0)\/(j**0\/j*(j*j**(2\/7))\/j*(j**1)**30) assuming j is positive.\nAnswer: j**(-11357\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -238*l - 28144. Give z(-120).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 5*q - 6. Suppose 16 = -2*i + 3*z - 4, -40 = 4*i - 4*z. Let v be f(i). Calculate the highest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - -217. Suppose -20*p + s*p + 2133 = 0. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -899.683 to the nearest integer.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 58555*a - 292798. Determine v(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t**2 + 2105*t**3 - 536*t**3 - 26*t**2 - 25*t**2.\nAnswer: 1569*t**3 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*b - 5 + 2 - 39*b**2 + b to the form k + d*b + j*b**2 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 8*m**2 + 8. Let q(n) = n**3 - 3*n**2 + 3. Let f = -22 - 2. Let i = 13 + f. Let c = -8 - i. Determine c*b(s) - 8*q(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2280 and 93309?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h - 1. Let z = 4 + -2. Sort 0.03, z, h, -3\/2 in descending order.\nAnswer: z, 0.03, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 4*w + 71, 1 = -w. Is 14 a factor of (-6)\/l + (-692)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 2, 5 in increasing order.\nAnswer: -6, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23374*s + 1549578 = -1225359 + 16805 for s.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, -2, -9 in decreasing order.\nAnswer: 5, 0.5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/(q**6\/q)*q\/q**(-2\/15)*q*q\/(q\/(q*q**(-3))))\/((q**(-2\/7))**(-26))**(-1\/52) assuming q is positive.\nAnswer: q**(-461\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-29)\/12 - 24\/18)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19, -1, 2\/3, -92?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 23. What is j(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**37*k**(10\/13)*k assuming k is positive.\nAnswer: k**(504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 58*k**2 - 112*k + 4. Calculate c(56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -249231255, -249231259, -249231263, -249231267?\n\"Answer: -4*t - 249231251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2*w - 3*w + (w - 3*w + 0*w)*(2 - 5 + 2) + 3*w + 3*w - 5*w + 3*w - 3*w + w + 15*w - 16*w - 11*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108) + 0)*-6 + sqrt(108))*-5*6.\nAnswer: 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35311141, -35311140, -35311139, -35311138, -35311137?\nAnswer: -35311136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3 + 4*m**2 - 42*m wrt m?\nAnswer: 24*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from wswsw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 40*t. Let n(w) = 19*w. Let v(y) = -2*j(y) + 5*n(y). Let c(q) = -8*q - 2. Give v(c(d)).\nAnswer: -120*d - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/3 - 5548*q**4\/3 + 5552*q**3 - 16660*q**2\/3 + 5554*q\/3 = 0 for q.\nAnswer: -2777, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -1\/3*z**3 - 1\/3 - z**2 - z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/3 + f**4\/8 + 505*f**3\/6 - 8*f**2 + 219*f. What is the derivative of y(d) wrt d?\nAnswer: -40*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 45 = 5*s, 0 = 24*n - 20*n + 4*s - 36 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 5 + 1 + (sqrt(4)*-2*-6 + sqrt(4))\/sqrt(2) + 1))**2.\nAnswer: 3900*sqrt(2) + 9350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -74, -97, -140, -209, -310?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3844106 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6815*k + 303 wrt k?\nAnswer: -6815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.29 - 0.09. Let i be 36\/(-273) - (-14)\/(-91) - 36\/(-28). Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by ((-2)\/4)\/((-4)\/104).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (6\/(-16) - (3 - (-203)\/56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -0.1.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubbbbbbbbub. Give prob of sequence ub.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88375 and 2350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226338821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6*(1 - 0) + 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + -0.25. Let t = -1\/69 + -133\/345. Let d = t - -13\/20. Put 2, q, d in increasing order.\nAnswer: q, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 = 46*q - 372 - 2354 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 10 (c) 1734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (sqrt(162) - 4*sqrt(162)*1) + sqrt(162) + 2 + -3)**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -724 - -718. Is -9\/7 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5\/4 (b) 2\/3 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-53)\/8 - (-126)\/(-336))*(-6)\/14. Solve a - 11 = 2*r, 8*a - y*r = 7*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - 946 + 988 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -1\/3 (b) -4 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0 + 0*q**2 - 96\/5*q - 3\/5*q**4 + 18\/5*q**3 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -19*a - 4. Suppose -8 = -6*z + 10*z. Let w be u(z). Let s = w + -42. Which is greater: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o**2 - 2*o. Let x be p(-2). Suppose 0 = -3*d - 2*t + 1597, 4*d + 48*t - 47*t - 2126 = x. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 336*l - 132. Let t be r(64). What is the highest common factor of 116 and t?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1024.94 + 1025. Which is the second biggest value? (a) m (b) -0.03 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + (-8)\/(-2). What is the smallest common multiple of 67\/h - 48\/64 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-w - 2*w**3 + 0*w + 0*w).\nAnswer: -4*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3248523.\nAnswer: 4\/3248523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5 - 296*c**4 - 10950*c**3 + 296*c**2 + 10952*c = 0. Calculate c.\nAnswer: -74, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*z - 221*z. Factor -2\/3*p**3 + 1\/3*p**4 + 0 + 0*p + z*p**2.\nAnswer: p**3*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -51. What is the second biggest value in -3\/7, -3\/4, x, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560417 and 214786.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15030161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -780103544*f**2 - 628275291 wrt f?\nAnswer: -1560207088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06124 * 1.352.\nAnswer: 0.08279648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let a(p) = 6*p**3 - 4*p**2 - 10*p + 5. Let j(g) = -g**3 + g. Let n(x) = b*a(x) + 5*j(x). Calculate n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -121. What is the nearest to 0 in w, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (5 - -2 - 9) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y - 13. Let b(t) = -t**3 - 62*t**2 + 6*t + 377. Let v be b(-62). Calculate u(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 + -340. Let q = l + 302. What is q rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:23 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27046193858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.407 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/8)*u*u**8\/u*u*u*u)\/(u\/(u\/u**(-1)*u*u))**(1\/2))**(-29) assuming u is positive.\nAnswer: u**(-2871\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22) - (1218\/7656)\/(1\/13)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1626769.15 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.94596837 + 221.94596629. Let c = x + -217. Round c to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*x = -48, 2*o - 6*o + 96 = 5*x. Suppose o*d = -0*d + 4*d. Solve 8 + 4 = 2*f - 3*m, 4*f + m + 4 = d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -254.0711.\nAnswer: -6859.9197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 0*a - 3 + 0*a.\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747.477 rounded to the nearest 10?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4357 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 655*x**2 - 30*x + 2. Let r(i) = -3*i**2 + 7*i - 1. Give 4*r(n) + y(n).\nAnswer: 643*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 93 (b) 2 (c) -822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 20*i + 21. Let z be n(19). Suppose 15 = 5*f, 7*f = z*j + 3*f + 10. Sort -5, -6, j, 4 in decreasing order.\nAnswer: 4, j, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -a - 3*b, -3*a - 2*b = -0*a + 52. Let c be 6\/2*a\/(-15). What are the prime factors of ((-5)\/c)\/((-1)\/8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let c = 515\/1554 - -1\/518. Let y(k) be the third derivative of -1\/60*k**6 - c*k**3 + 0 + 0*k - 1\/4*k**4 - 3*k**2 - 1\/10*k**5. Solve y(v) = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 + 45562666*b**2 - 546241*b + 24?\nAnswer: 40*b**3 + 91125332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100323422 + 123?\nAnswer: 100324100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 521 - 57 = 0. Let w = z - 81. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 2230*f**2 + 4468*f = 0. Calculate f.\nAnswer: -1117, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9570254 and 9?\nAnswer: 86132286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 406\/(-609)*(-3)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i + 1. Let o be t(-4). Suppose -n + 6*n = o. Is 12 a factor of (n - -7)*(0 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(209)*1 + sqrt(209))*-3)\/((sqrt(11) + (sqrt(11) - sqrt(11)*-3*5))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 8)*(12 + 2). Let y be 6*1*b\/42. Solve -4*v + 10 = -3*r, -y = 4*r - 4*v - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 9. Let d(u) = 2*u + 8. Let w(v) = 6*d(v) + 5*h(v). What is the tens digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920138 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057207.4 take away -1844?\nAnswer: -2055363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2573611.35 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30224 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 63, 1225216 in ascending order.\nAnswer: -3, 63, 1225216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3150 - -521. What are the prime factors of n?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**4 - 4*f + 192.\nAnswer: 20*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in hours?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.25 from 5700318.\nAnswer: 5700317.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 57 (c) 0.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 divided by -813?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6424 and -69\/292.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2*h**2 + 966*h**3 - 2*h**2 - 315*h**3 - 307*h**3 - 312*h**3.\nAnswer: 32*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**7\/2520 - r**6\/360 - r**4\/3 + 10*r. Let c(i) be the third derivative of v(i). Give c(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Let f be 1\/(t\/1 + -3). Let k = 5.474 - 5.514. What is the biggest value in k, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246616 (base 12) in base 11?\nAnswer: 374743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3643634886.\nAnswer: 2, 3, 607272481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 - 39 = 0. Let g = 4 - c. What is the smallest common multiple of g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/336 + (-73994)\/(-14).\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622303153 to the nearest integer?\nAnswer: 24946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*k + 3*r, 4*r = -4*k - 417 + 409 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4836034, -1\/4, 1\/3, -0.09, 1.\nAnswer: -4836034, -1\/4, -0.09, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 1.28549\nAnswer: 39.85019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i**2 + 26*i**2 - 2*i**3 + 33*i**2.\nAnswer: -2*i**3 + 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from repeppepeqyyqepy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465323903 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5490 and 4822050.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let z be x(4). Let w = 3 - z. Let l(c) = c**3 + 3*c**2 - 5*c + 1. Let h be l(-4). Is w at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4558*f**3*j**3 - 46725*f**3*j**2 + 469*f**2*j - 230*f**2 + f + 67*j**3 wrt f?\nAnswer: -27348*j**3 - 280350*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416002 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 256490*j = 0. Calculate j.\nAnswer: 0, 51298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 819 + -587. Is 58 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2391, -2392, -2393, -2394?\n\"Answer: -u - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*f + 829 - 825 = 0, 8*z - f = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770079938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -3 (c) -3.06 (d) -2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1. Let t be ((-333)\/66 - -5)\/(3*(-3)\/(-36)). Sort t, -1, -0.3, k in descending order.\nAnswer: k, t, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3 + v + 1 - 6. Let g(i) = -2*i - 2 + 0 + 7. Suppose p + 25 - 33 = 0. What is p*d(s) + 3*g(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f - 1872 = 133*f + 5204 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9975035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5564)\/1177)\/((-4)\/22). Calculate the highest common factor of 58 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 2 + 9)*(0*w + w - 2*w)*(-174 - 124 + 435).\nAnswer: -3288*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j**5 - 2*j**5 - 23*j**5)*(-5 + 3 - 3).\nAnswer: 215*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0)*(-9350)\/1700.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (13 - (1 + 2)). Let n be (2\/4)\/(6\/i) + 11. Suppose 0 = -8*z + n*z - 44. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38232840 divided by 7646568?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 4. Suppose 3*l + m = 7. Suppose 4 = v - l. Solve v*f + 21 = x - 9, -4*x + 40 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187)*2*1)\/(3*sqrt(1331)).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -106387.\nAnswer: 1\/106387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27677, 30 in increasing order.\nAnswer: -1, 30, 27677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 34 = -3*t, 4*z + 8 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212\/22645 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32\/(19\/(-5) - (-11 + 7)) and 440.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mummmmmmmmuumm. Give prob of sequence ummu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**4 - 5*v**3 + 5*v - 6. Let o(w) = 8*w**4 - 6*w**3 + 6*w - 6. Let h(k) = -6*m(k) + 5*o(k). What is the first derivative of h(q) wrt q?\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44459 = -35*r - 44284. Solve -9*j + 5*z - 28 = -3*j, -j + r = 4*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -445093*f - 617580?\nAnswer: -445093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x - 4*x)*(-6*x + x + 3*x) - 2*x**2 - 3*x**2 + x**2 to the form o + i*x + p*x**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*u + 293*u = 138 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 118\/5571?\nAnswer: 118\/5571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15798 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 2*o - 1 - 7*o**2 + 3 + 11*o - 15. Let z be b(6). Suppose -780 = z*j - 9*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 5 (b) -2\/3 (c) 2\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487\/5 - 97. Sort 1\/3, p, 5 in decreasing order.\nAnswer: 5, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b - 837, -675 = -8*d + 4*d - b. Calculate the highest common factor of d and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - -376387878.029.\nAnswer: 376387878.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -487.\nAnswer: -487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-322)\/(-42) + 15\/(-20)*-4 + 3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:20 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let l(f) be the second derivative of -f**3\/2 - 5*f. Determine l(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.37 + 38.77. What is the closest to -1 in t, -1\/2, -5, -0.15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3901950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 17*u**2 + 3*u + 9. Determine x(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -531, -530?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1340787, 2681579, 4022377, 5363181, 6703991?\n\"Answer: 3*u**2 + 1340783*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g - 24. Let k(p) = 2*p**2 - 2*p - 71. Let v(h) = 4*k(h) - 11*u(h). Let a be v(-9). What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 12:17 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 2. Let i be f(2). Is 370\/i + 1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -24. Let y(v) = v**3 + 5*v**2 - 4*v - 1. Calculate y(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2 + 5*q**3 + 13*q**2 + q**3 - 3*q**3 - 4*q**3. Let l be h(13). Solve 4*b + l - 5\/2*b**2 = 0 for b.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816997?\nAnswer: 7, 13, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 + 10. Put -1\/8, o, 4 in ascending order.\nAnswer: o, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -21 + w + 23*w**2 + 4*w**3 - 8*w**3 - w**3 + 4*w**3. Let v be x(23). Factor -1\/2*u**v + 1\/4*u**5 - 1\/2 + u**4 + u**3 - 5\/4*u.\nAnswer: (u - 1)*(u + 1)**3*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoyyaajoysajys. Give prob of sequence yjja.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/3)\/((-2)\/3). Let m(r) = r - 4 + p + 2*r. What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 - h. Let t(l) = l - 1. Let x = 6 - 6. Let p be t(x). What is the units digit of f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42195, 42182, 42155, 42108, 42035?\nAnswer: 41930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 36. Suppose 6 = 2*z, -2*v - 2*z = 3*v - 591. What is the greatest common factor of l and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 25. Suppose t*b = 532 + 73. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -46. Suppose -p + 13 = 5*m, 3*m - 8 = -m - 2*p. Suppose m*y - j = -y. Calculate the highest common factor of 20 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 3*l + 16. Let t be n(-6). Let k = 0.06 - -5.94. Let p = k - 4. What is the biggest value in t, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 6. Suppose 24 = -4*f + 20. Let g be (-35)\/(-14)*2\/f. Put z, 1, g in increasing order.\nAnswer: g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 37*c - c + 0*c. Suppose 5*p = 15, -5*p = -3*w - 4*p + 15. Let i(r) = -4 + 2 - w - 2*r + 8. Give y(i(j)).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274.822 - -7.522. Round i to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 1. Let f be a(-6). Let z(j) = -j**3 + 17*j**2 - 19*j + 51. Let u be z(16). Sort u, 4, f in decreasing order.\nAnswer: f, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.05307 - 350024.94693. Let j = -349977.9918 - q. Let k = j - 50. What is k rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 679 divided by -1512\nAnswer: -97\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/23 - 20114*k**2\/23 - 50440630*k\/23 + 659131850\/23 = 0. Calculate k.\nAnswer: -5035, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, d: 1, s: 2}. Give prob of picking 1 c and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from zoozzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 14*f = 33*f - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4208083 or 4208080?\nAnswer: 4208080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/15 - 2)*-6. Let x be 1*u\/4*-1. Solve -x*d - 2 = 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5524 + -19?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + -1.98. Let g = -0.541 + 0.941. Which is the closest to z? (a) -1\/8 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2*sqrt(17) + 0)**2) + 4.\nAnswer: -64 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 98715*p\/2 + 7053750.\nAnswer: -(p - 49500)*(2*p + 285)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*j - 26, -4*j - 16 + 38 = 2*p. Suppose 2*t - 3*s + 31 = 4*t, -103 = -j*t + s. Calculate the smallest common multiple of 18 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.225 + -2.975. Which is the smallest value? (a) 0.2 (b) 3\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009132729445 less than 0.1?\nAnswer: 1009132729445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178086 - -74439911\/418. Calculate the common denominator of h and 67\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000746873977 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.4 + 34. Let x = j - -6. Sort 1, x, -1.\nAnswer: -1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.3, -1\/2, -1, 0.3, 0, 1\/5 in decreasing order.\nAnswer: 0.3, 1\/5, 0, -1\/2, -1, -11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 1783353474 - 674224164. Let y = k + -198836590. Round y to the nearest 1000000.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 499*z - 13. Let n be y(-13). What is n rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daahhaiihidftd. Give prob of picking 2 i and 1 t.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 10 = 17*l. Solve 0 = l*m - m + 1, -3*b = -2*m + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 446471, 446474, 446477, 446480?\n\"Answer: 3*s + 446468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyyymnyyyynyjmjyyj. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 25 - 23. Suppose 2*o - 2*x - 202 = 0, o + 3*x + g = 109. Let r be 23\/o - (-2 - 9\/(-4)). Does -1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1) + (4 - 1). Suppose i*c = 4*c - 8. Differentiate 3*b**2 - 3*b**c - 8 - 6*b**4 + 0*b**2 with respect to b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 844*x**3\/3 + 89042*x**2 - 37575724*x\/3 + 1982119441\/3.\nAnswer: (x - 211)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -62, -44, -8, 52?\n\"Answer: m**3 - m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 + 2863 = 241*u + 191*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404934.0500001 + -404934. Let a = m - 0.05. What is a rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.462594079 to 2 decimal places.\nAnswer: 8.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 41. Let j(q) = 166 + 261 + q - 441. Give -2*i(l) - 7*j(l).\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(50\/12)*(-7)\/((-84)\/160)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - x = 2*x + 12, -2*d + 10 = -3*x. Let y(p) = p - 2. Let u be y(5). Suppose -u*v + 3 = -12, 0 = -2*r - 2*v. Sort d, 4, r in increasing order.\nAnswer: r, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*6*16\/(-9). Calculate the highest common divisor of 164 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8196 and -5.\nAnswer: -40980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j + 50*j = -110*j + 3080 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:30 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1146345163 - -5?\nAnswer: -1146345155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16863019 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 353*u - 1. Let y(w) = -10*w**2 - 1001*w + 3. Let z(a) = -17*q(a) - 6*y(a). Determine z(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 14. Suppose 0 = -8*j + 7*j + 16. Let u = j - m. What is the lowest common multiple of u and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -30*t + 37. Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -2 - (16 - 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2600877627552 - -2600875240852.800079. Let k = -2386701 - f. Let m = -1.8 - k. Round m to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 30.4 (c) 21\/2 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*j**3*v + j**2*v + 133*j*v + 2*j + 4 wrt j?\nAnswer: -8184*j*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498\/8 - 6\/24?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h**2. Let g be p(6). Let q = 2 - -16. Solve u = -5*v, g = -0*v - 3*v + 3*u + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(2 + (sqrt(192) - (5 + 1*sqrt(192) - sqrt(192)) - (sqrt(192) + 1)*2 - (sqrt(192) + 1 + -3 + 5*(1 + sqrt(192))))))**2.\nAnswer: 22400*sqrt(3) + 236805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -1765036006388.\nAnswer: -1765036006388.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**4*x + 121402*s**3*x + s**3 - 276*s**2*x + s**2 + 2*s*x - 1 wrt s.\nAnswer: -48*s*x + 728412*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 - 84. What is the units digit of t\/18 - (1 - (-22)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 3)*(4*a - a - 5*a) - 2*a + 5*a + 0*a.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84055*r - 84045*r - 1 + 1.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 3*k**2 + 18*k - 21. Is p(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 + (-6 - (-9592)\/33) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + w**2 - w + 3*w. Give p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 6 = -12*k. Sort k, -2, -4 in decreasing order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 15 = -5*h, -3*w = 3*h - 2*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 29233*m - 17538.\nAnswer: -(m - 5846)*(5*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -110212122?\nAnswer: -110212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1873 - -26231\/16857. Let j be ((-4)\/10)\/((-16)\/120). Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*k - 10313 + 4021. Calculate the highest common divisor of 299 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/8722662606416 - 8137513688792928809\/768893986092963984. Let m = 2\/29383 + s. Find the common denominator of m and (-143)\/12 + 2\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/840 - 3*f**4\/2 + 25*f**2. Let l(u) be the second derivative of b(u). Let y(i) = 2*i**2. Give y(l(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 - 33*f - 1. Let w(h) = -12*h**2 - 99*h - 4. Give 10*a(j) - 3*w(j).\nAnswer: -4*j**2 - 33*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1148\/5 + 3367\/15. Let f = 5 + n. Let i(r) = r**3 - 7*r**2 + 7*r - 6. Let v be i(6). Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 + 108. Suppose 0 = 5*l - 2*i + 34, -4*i + 3*i = -5*l - 32. Find the common denominator of (k\/15)\/(-2 + l) and 17\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:35 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-3 - 85\/(-10)))\/(1610\/(-184)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.34859 and 33791?\nAnswer: 33790.65141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6 + 69125*k**5 + 63*k**3 - 844*k**2 - 1141*k?\nAnswer: 120*k**3 + 4147500*k**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12490.5793 + -12489. What is p rounded to 2 dps?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 580522 and 3.7.\nAnswer: 2147931.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(4))\/sqrt(6) - (sqrt(2) + 5 + (sqrt(2) - (sqrt(4)\/sqrt(2) - sqrt(2))))**2) + (sqrt(288)*-2 + sqrt(288) + -2 + 0)**2.\nAnswer: 29*sqrt(2) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 44 + 28*y - 147.\nAnswer: 28*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -20\/3*k**3 + 1 + 0*k + 0*k**2. Let i(p) = 2*p. What is u(i(g))?\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -caa4b + b1?\nAnswer: -ca96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 0*k**2 + 6 - 4*k**2 - 3*k**2 as h + s*k + a*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*g**2*j - 44*d**2*j + 2*d*g**2*j - d*j - 3*g**2*j wrt g.\nAnswer: -2*d**2*g*j + 4*d*g*j - 6*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 = 11. Solve 2*s - 3*s + p = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270 - -263. Let i = 194\/5 + -39. Let z = 1316 - 1312. What is the fourth smallest value in i, f, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-3 + -23 + 66).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b**2. Let f(a) = 3*a - 463. What is f(m(v))?\nAnswer: -66*v**2 - 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -20156?\nAnswer: -20156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.49. Let t = -0.61 - s. Let o = -0.1 - 0.9. Which is the closest to 1? (a) o (b) t (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.59082 take away 9435?\nAnswer: -9466.59082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 8*a**2 - 8*a - 6. What is the units digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 250756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 3*n**2 + 8*n - 2. Let g be y(6). Let w = g - -62. Solve w*x + 17 = x - 4*i, -2*x - 6 = 2*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 13 = -l - 23*q, -5*l - 5*q - 35 = 0. Sort 15, -5, l in descending order.\nAnswer: 15, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*h*m - 22*g**3*m**2*z - 8*g**3 + 2*g**2*h*m**2*z - 2*g**2*h*m + 9*g**2*m**2*z + 2*g**2*m + 2*g**2*z wrt g?\nAnswer: 12*h*m - 132*m**2*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 617848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 676*r - 467113. What is h(-681)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/3 - 698176*v\/3 - 60931215872\/3 = 0.\nAnswer: -174544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*i + 0*i - 768 = 591 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -125?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 134920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.213 + -7.213. Sort c, -49, -0.01.\nAnswer: -49, -0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 324 = -14*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b4 (base 12) in base 7?\nAnswer: -42424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1017027 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/250*(-22600)\/(-2712)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*p, 2*p + 3*l = -l - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(10\/7))\/(i*i*i**(-8)))**(-5\/12)\/(i\/((i\/(i**1\/i))\/i)*i\/i**(-1\/8)*((i*i\/(i*i*(i*i**(-2)*i)\/i))\/i*i*i)**(-21)) assuming i is positive.\nAnswer: i**(2103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -33*v - 19*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15980)\/(-658) - 10\/(-14). Solve -5*v - y + 5 = -5*b, -v + 11 = 2*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.56741 years in centuries?\nAnswer: 0.4656741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16337, 16294, 16227, 16142, 16045, 15942, 15839, 15742?\n\"Answer: r**3 - 18*r**2 + 4*r + 16350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*m**2 - 2*m**2 - 4*m**2 + m**2 - 2 + 2 + (1 - 1 - 1)*(2 - m**2 - 2) - 3*m**2 + 3*m**2 - m**2 + (-2*m + 4*m - m)*(2*m - 2*m - m) - 92 + 92 + 12*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7*s = -25, -i + 3*s - 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 821\/335504 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -1, -2\/3, -5, 523.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.348 + 21.548. Let k(p) = 2*p**3 + 3*p**2 - 3*p - 4. Let r be k(-3). What is the closest to r in -2\/11, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 52, 85, 118, 151, 184?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4\/4 + 7485*d**3\/4 + 5415777*d**2\/4 + 1205263515*d\/4 - 1227046575 = 0.\nAnswer: -1429, -535, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3009 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-33)\/(-30))*(-2078)\/(-15585).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by 24?\nAnswer: -71\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*n - 7 - 0, 0 = -4*m + 3*n + 11. Differentiate 7 + m*t**2 - 2*t**2 - 8*t**4 - 6 wrt t.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550097\/3 smaller than 183365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139\/2 - -69. What is the closest to 0.1 in 4, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977811.\nAnswer: 3, 397, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8))**13 assuming q is positive.\nAnswer: q**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/28 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (0 + -1 + -46). Suppose -4*t + u = -t. Suppose 0*c = c - t. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 21*x + 197. Let q be o(-9). What is the greatest common divisor of 128 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 13*y - 7 - 9.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3123 divided by 72\nAnswer: 347\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -51 - 42 - 50 - 54 + 196. Let l(g) = 25*g + 4. What is 4*d(q) + l(q)?\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g - 3. Let l be x(-4). Suppose a = 2*j - a + 8, j + 5*a + 16 = 0. Is j less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 4*b - 1. Let i be r(4). Suppose 0 = -2*x - x + i. Solve 0 = n - 3*p + x - 13, -n + 3 = 2*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:27 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 6*f**2 + 5*f + 4. Let t be j(-5). Let g = 20479 + -20473. What is the greatest common divisor of g and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a + 600 = -723 - 162 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.1235.\nAnswer: -0.5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -1cf0?\nAnswer: -1ce9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720*k = -19073 + 7033 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4*i - i)*(4*i**3 - 3*i**3 - 2*i**3)*(-2*i + 0*i + 3*i).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3367 + -467. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - k + k)*(k - 2*k + 0*k) + k**4 + 3*k - 3*k + 0*k**2 - 14*k**4 - k**2 + 9*k**4 to a + z*k + f*k**2 + i*k**3 + b*k**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 81*h**2 - 31*h - 114. Let p be k(33). What is p rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.166 (b) -4 (c) 4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 0 - (-2 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/13 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljllcjlajjjl. Give prob of picking 2 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*b**3*d**3 - 12*b**3*d - 3*b - 4*d**2 wrt d.\nAnswer: 1278*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439572.\nAnswer: 2, 3, 7, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 10*l + 14*l + 120 = 0, 7*l + 25 = -7*o + 2*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 20*u + 36. Let w be g(-18). Let x be w - 2 - (-998)\/(-204). Let o = -13\/2 - x. What is the common denominator of o and 7\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m*m*(m**5*m*m)\/m))\/m)\/m)*(m**(3\/10)*m)\/m*m*m**(1\/10)*m*m*m**(-2\/7)*m)\/(((m*m**(-3\/2)\/m)\/m)\/(m\/(m*m**(1\/6)*m)))**45 assuming m is positive.\nAnswer: m**(2594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 20*c + 9. Let z = -71 + 70. Let p be d(z). Suppose 2*x - 3*y + 10 = -3*x, -3*y = 2*x + 4. What is the smallest value in -2\/5, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f, -3*z + 39 = -4*f - 22. Suppose -3*s = 4*y - z, 0*y + 10 = 3*y - 5*s. Put y, -5, -1 in increasing order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72325.36ug?\nAnswer: 0.07232536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 - 5*j - 5. Let n be (-2)\/4 + 9\/2. Let w = n + -9. Let t(v) be the first derivative of v**3 + 2*v**2 + 4*v + 6. Give w*t(r) - 4*y(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(375) + sqrt(375)*1*5)\/(-5*(((1*sqrt(80) - sqrt(80)) + sqrt(80) - sqrt(5)) + sqrt(5))))**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 3*b**4\/4 + b**3 - 3*b**2 + 13. Determine t, given that q(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:26 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108184*d*l**5 + 4*d*l**2 - 4*d*l - 10*d + 2*l - 1 wrt l.\nAnswer: -6491040*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/48427, 0, 48, -1\/9 in descending order.\nAnswer: 48, 0, -6\/48427, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1337367 times 3?\nAnswer: -0.4012101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:48 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*v + 1921 = 0, -3*c - v = -8*c - 9521. Is c\/(-21) - (-6)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.3 from -2342.\nAnswer: -2365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = 5*c + 2*n, 0 = c - 3*n + 9. Suppose c*u - 2*u = -6. Suppose 0*b + 4*h = -u*b + 18, 2*b = -5*h + 19. Solve -r = b*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/3 - 26\/(-156)*(-12 - -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:20 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5)*(-3 - 4 + 4)*((2*f**2 + f - f)*(-3 - 2*f + 3) - f**3 - 13*f**2 + 0*f**3 + 92*f**2) in the form t*f**3 + m*f + z*f**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 549 and -57115.\nAnswer: -56566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 4*t + 2. Let n be c(-3). Let r(v) = -8*v + n + 3 + 12 + 4. What are the prime factors of r(-8)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 60 (b) -15 (c) 57 (d) -3\/4 (e) 248 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-175))\/(3*3\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 4. Suppose -8 - 9 = -d. Suppose 3*v + 29 = d. Give a(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243.902 meters in centimeters?\nAnswer: 324390.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038064233 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 333*o - 288. Is 59 a factor of q(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/((-4)\/40). Is ((-243)\/(-12) - 4)*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84906 by 2.\nAnswer: -42453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18327.999 - 18320. Let j = y + -8. Round j to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*i**4\/5 - 4954*i**3\/5 + 108222*i**2\/5 + 131346*i + 172260 = 0. What is i?\nAnswer: -3, -15\/7, 29, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let w be b(2). What are the prime factors of w*(17\/(-2))\/1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 4. Let z(g) = -2*g + 641. Calculate -4*f(u) + z(u).\nAnswer: 2*u + 625","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -10, 8, 20, -4 in ascending order.\nAnswer: -102, -10, -4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 209\/38)*(-12)\/(-2). What is the closest to 1.5 in 1, y, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 minus -26349572805?\nAnswer: 26349573111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51452 in 1\/4, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154396799755 - 2.581.\nAnswer: 154396799752.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(1 - 1 - 3*i)*(178*i + 172*i - 504*i)*(-4*i + 4*i - i).\nAnswer: -924*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30377 from 3765660950.\nAnswer: 3765630573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-264)\/(-15))\/(7\/(-9411045)). Let b = 41162056 + t. Round b to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1414034225274 and -0.3.\nAnswer: 1414034225273.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 6. Let o be s(3). Suppose -3*i + p + 3 = -3, -o*i - p = 0. What is the common denominator of -7\/8 and 101\/(-22) + i\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26549\/13 + -2041. Let o = 86\/91 - f. Is o >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:16 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421.1 + 421. Do w and 719 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*j + 4291133 = 1479835, 0 = c - j - 702822. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 - 379 + 187 + 309*o)*(-2*o**3 + 3*o**3 + o**3).\nAnswer: 618*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37443 - -39809. What is the remainder when c is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 44. Calculate the least common multiple of 8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b**2 + 9*b + 4. Calculate v(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -21133 = -21133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*u - 118 - 189 - 2764 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2\/3 - 206840*h\/3 + 1655488 = 0.\nAnswer: -51734, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.98818 - 11.38. What is s rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u**2 - 3*u + 3. Let t be y(3). Let g(j) = -j**3 + 15*j**2 + 2*j - 3. Let h be g(15). What is the greatest common divisor of h and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17*((-10)\/(-2) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153, -184, -205, -210, -193, -148?\n\"Answer: x**3 - x**2 - 35*x - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178952*w**4 - 2*w**2 - 9284*w?\nAnswer: 4294848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1172 + 3036. List the prime factors of c.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/186657963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1115, 1132, 1177, 1250?\n\"Answer: 14*l**2 - 25*l + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129, 133, 139, 147, 157, 169, 183?\n\"Answer: m**2 + m + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 2\/13, 18749 in decreasing order.\nAnswer: 18749, 2\/13, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844759?\nAnswer: 43, 89413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 3*h + 41, 0 = 2156*j - 2159*j + 4*h + 36 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 305, 488, 669, 848, 1025, 1200?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (155\/25 - 4). Let t = 3\/4 + -11\/12. Let h = 0 - -0.1. Which is the smallest value? (a) h (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 6)\/((-70)\/(-945)*12\/8). Let q = -5 + 7. Let m(a) = -14 - a**q - 4*a + 2 - 7*a. Give m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + (4 - (2 - -2))) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3105 - -7158. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**4\/k)\/k*k*k)\/k*k*k))\/(k**(-1\/4)\/k)*(k*k**(-1\/4)*k*k*k)**8)**18 assuming k is positive.\nAnswer: k**(981\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = y - 2*o, -2*o + 1792542 = -2*y + 1792500 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 26, -3, 3, 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13732, 13734, 13738, 13744, 13752, 13762, 13774?\nAnswer: 13788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 7*g + 4. Let q be f(-5). Let a(k) = k**2 + 4*k - 3. What is the units digit of a(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 + 3*b - 5. Let l(z) = 11*z**2 + 6*z - 11. Let h(a) = -13*g(a) + 6*l(a). Let j be h(4). Put -3, 0, j in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57232092.\nAnswer: 2, 3, 149, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963868 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000160132 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16911258191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 8) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(304))*2.\nAnswer: 6 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/120 + g**5\/60 - g**4\/12 + 137*g**3\/3 - 18*g**2. What is the tens digit of n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -2*r - 417774. Suppose 0 = -3*n + r - 23847. Suppose 4*g = n - 1665. What is g rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*v - 19 = 0, -2894*p + 2893*p + 3*v = 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19*v = 80. Solve v = 3*o + o - a, 1 = 5*o + 4*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 5 (c) -1\/195 (d) 0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.21, 17, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -780692566999\/162347570 - -2\/7379435. Let j = y + 4804. Let u = 9\/412 - -2951\/1648. What is the common denominator of j and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)**47\/(y**(-1\/3))**(-2\/45))\/((y\/(y*y**(2\/3)))**(-26)\/(((y\/y**(-6)*y)\/y*y)\/y**(-2))) assuming y is positive.\nAnswer: y**(-11567\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 1. Let k be (-2)\/(2\/5*x). List the prime factors of (4\/6)\/(k\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4669 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28 + 3*g**2 - 362*g**4 - 78*g**4 - 2970*g - 343*g**4 + 2970*g wrt g?\nAnswer: -18792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16467*s - 16503*s + 25668. What is the remainder when s is divided by 207?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1728*u**3\/7 - 7828560*u**2\/7 - 652443*u - 95151 = 0. Calculate u.\nAnswer: -7\/24, 4531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/2)\/(-7))\/(-18*26\/24336)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3*i - 3*i + i)*((-4 + 4 - 2*i**4)*(-2 + 5 + 0) + 2*i**4 + 0*i**4 - 4*i**4 + (2*i + 3*i - 2*i)*(-i + i + 2*i**3) + 3*i**4 - 3*i**4 - 2*i**4).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*o = -5, -4*q = 23*o - 19*o - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 71226.2 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0092417 and -6?\nAnswer: 0.0554502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:29 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 4. Let v be s(-2). Let a be v\/(-2 - 2) + 3. Suppose -5*n + 1338 - 9088 = a. What is n rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - (-5 + 10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w + 219 = -3*g, -1 = w. Let i = -69 - g. Solve 0 = 2*n + i*n - 25, -2*h + n = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 + 2*q**3 + 33*q**2\/2 + 35*q. Let y be n(14). Solve 0 = 4*f, -y*f + f = -2*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -63*f - 112614. Let k(c) = 3*c**2. Give w(k(p)).\nAnswer: -189*p**2 - 112614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-40))\/((897\/26)\/(-69))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360666149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -255, -1012, -2251, -3972, -6175, -8860, -12027?\n\"Answer: -241*n**2 - 34*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 120. Let c(k) = -27722*k. Give c(z(g)).\nAnswer: -166332*g**2 - 3326640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 14*s - 5. Let d be k(3). Let z(l) = -l + 1. What is z(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 - 4*y - 11. Let q be c(-8). Calculate the greatest common factor of 84 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08554 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64167.\nAnswer: 3, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 4\/5, 1441.\nAnswer: -8, 4\/5, 1, 1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219067 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10026386 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q - 7. Let c(k) = -13*k - 8. Let j(w) = 77*w + 1226. Let s be j(-16). Give s*c(v) + 7*z(v).\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243 - 3163\/13. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from llylwllwlppll?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -12. Suppose d*c = -3*c. Solve -7 = -4*k + 5*u, 3*k = -c*k + 2*u + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 5*a**2 - 3*a**2)*(241 - 571 + 317 + 297*a).\nAnswer: 891*a**3 - 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*d = -226, -5*v + 3*d + 297 = -2*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 - 9*n**4 - 489450*n**3 - 16*n - 40163?\nAnswer: 40*n**3 - 108*n**2 - 2936700*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595551?\nAnswer: 3, 11, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 655.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001111 + 2010022221?\nAnswer: 2020101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*u**2 + 1186*u**2 + 288*u**2.\nAnswer: 1698*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -41, 0.5, -3, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p - 7. Let b = -8221 - -8227. Let v(m) = 23*m + 8. Give b*v(g) + 7*l(g).\nAnswer: -23*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1224 and 3.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/9, -37, -2\/5, 3, -1, -1\/6 in descending order.\nAnswer: 3, 13\/9, -1\/6, -2\/5, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/9085 and 37\/29072.\nAnswer: 145360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6123, -24509, -55151, -98049, -153203, -220613?\n\"Answer: -6128*t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*x**2 + 51*x - 1 - 22*x + 1 - 33*x to z*x + c + j*x**2 and give j.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-203)\/105*37\/((-4107)\/370)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726b63 (base 14) in base 2?\nAnswer: 101011011100101110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 + 9 - 5*p**3 + 9*p**3 - 6*p**2. Let i(v) = -v**3 + 3*v**2 - 2. Determine -4*f(w) - 18*i(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -12. Suppose 5*d = -l - 25, -4*d = 30*l - 26*l + 20. Let p = 37 - 110\/3. Which is the closest to -0.2? (a) p (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -339*a**2*j*x + 502*a**2*x + 29*a**2 - 21987*j wrt x?\nAnswer: -339*a**2*j + 502*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001100010 (base 2) to base 14.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*s**5 + 2*s**3 - 13*s**2 + 127*s - 33 wrt s.\nAnswer: 1320*s**3 + 12*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429581853 to the power of 1\/2, to the nearest integer?\nAnswer: 20726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 653 + -653. Find x, given that 1\/6*x**3 + 1\/2*x**2 + b*x + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -3*f + 3*p, f + 3*p + 4 = 0. Suppose v + 8 = f*v - 2*a, a - 16 = -2*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - -29. Let a = v + -64.97. Sort -3\/2, 0, a, -0.2.\nAnswer: -3\/2, -0.2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 400100533 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 0 - 0 - (4 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhhhhhhuhhhhuh. Give prob of picking 4 h.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -394818 in decreasing order.\nAnswer: 13, 3, -394818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 16 = 2*s. Suppose s = -5*f + 7*f. Suppose -5*q = -20, b - 8 = -f*q + 26. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*7*(-2)\/4. Which is the third biggest value? (a) o (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**18\/h*h)\/h)\/h**(-1\/28)*(h\/h**(10\/17))\/h*h*h**(-4\/7)*h)**(2\/9) assuming h is positive.\nAnswer: h**(8509\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -5613, -14534, -27033, -43116?\nAnswer: -62789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-1)\/(15\/57))*2895\/(-1737).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1962\/99 - 10) + -10 - 37810\/(-1045)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1530423445?\nAnswer: 1530423443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(-x**3 - 2*x + 2*x) - x**3 - 2*x**3 + x**3 + 110*x**3 + 161*x - 161*x)*(20*x - 3*x + 8*x).\nAnswer: 2725*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 2*l, 3*l + 7 = f + 16. Suppose -r + 32 = l*r. Solve -5*c + 25 = 0, -2*b + 5*c = r + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 1 - (2 + 1). Solve -2*n + 4*j = -n - 3, -p*n = 3*j + 26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 767614.4 years?\nAnswer: 7676.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754998, -1509998, -2264996, -3019992?\nAnswer: -3774986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/7 - 1560*b**4\/7 - 1622*b**3\/7 + 46796*b**2\/7 + 50304*b\/7 - 249920\/7 = 0.\nAnswer: -4, 2, 5, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let j be u(2). What is the second derivative of -j*v**2 + 5*v + v**2 - v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2263 + 2268. Let d(v) = v**2 - 3*v - 12. Calculate d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*t + 2*t + 6 = 0, 2*k - 4*t = -12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23416 or -70244\/3?\nAnswer: -23416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/175512 and -109\/658170.\nAnswer: 2632680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 54 + 1)*(-4 + 0 + 3)*(-8 + 8 - 4*k)*(-4*k + k + 4*k) + (-2*k - 4*k + 4*k)*(k - 4 + 4) to r*k + j*k**2 + w and give j.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**25*d**(1\/11)*(d*d**(11\/6)*d)\/(d**(-5)*d) assuming d is positive.\nAnswer: d**(2173\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 231? (a) 2\/11 (b) -5 (c) 4 (d) -7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28203?\nAnswer: 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 3*g**3 - 18)*(-3*g - g + 5*g) - g**4 - 3*g**4 + 3*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 481 and 370?\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95605.\nAnswer: 5, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217819406*y**2 + 1348*y + 1489 wrt y?\nAnswer: -435638812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.3 and -245.\nAnswer: -2033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 13, -2, -1 in decreasing order.\nAnswer: 13, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19600431, 39200862, 58801293?\n\"Answer: 19600431*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.606976 plus -20?\nAnswer: -45.606976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 12. Let r be (12\/m)\/((-1)\/(-25)). Suppose 4*v - r = -t, 9 = -2*v - 3*t + 29. What is the greatest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 1589*r - 2995. Calculate k(-225).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-17)\/(-425))\/(8\/15).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, -2\/5, 1\/7, -0.5, -2\/9, 51?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((75\/(-18))\/25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 1462435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 12 = 15*t - 17*t, -2*a + 8 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50682 is divided by 611.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-33) + 6078\/792 and (-1 + 0)\/(-5)*8890\/336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/82 and -97\/4510.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229 - 224. Solve -14 = 2*r + 4*l, -z + 13 = -4*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 482880 * 0.1.\nAnswer: 48288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -25237299.1?\nAnswer: -25237284.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*y**4 - 19*y**2 + 19*y**3 + 0*y**3 - 59*y**4 wrt y.\nAnswer: -24*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*a + t - 4*t, 5*a = -4*t - 6. Calculate the remainder when (-32 + (a - -8))\/((-4)\/6) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 362797 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/182? (a) 4 (b) 7\/6 (c) -143 (d) -2\/3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.5 + -67.5. Which is the fourth smallest value? (a) u (b) 4 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*u - 510, w = -0*w + u + 535. Calculate the least common multiple of w and 53.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74211548 is divided by 1075.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4203, -8415, -12633, -16857, -21087, -25323, -29565?\n\"Answer: -3*l**2 - 4203*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -853980, -853994, -854014, -854040?\n\"Answer: -3*o**2 - 5*o - 853972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 + 31*h + 11. Let m(c) = -5*c**2 - 16*c - 6. Let i(v) = 6*a(v) + 11*m(v). Suppose 1 + 15 = n - 4*b, -4 = 2*b. List the prime factors of i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.163 (b) 1 (c) 0.4 (d) -3\/4 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.2 (c) -6 (d) 5\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 215?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 2220?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 12*o**2\/5 - 18*o\/5.\nAnswer: -2*o*(o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(42) + sqrt(84)\/(-2*sqrt(2))))\/(sqrt(486) + sqrt(486) + -1*sqrt(486) + sqrt(486) - (sqrt(6) - (sqrt(36)\/sqrt(2))\/sqrt(3))))**2.\nAnswer: 7\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 10. Let l be p(8). Suppose -k - 9 = -3*d, 6*k - l*d + 41 = 3*k. Is ((-78)\/k)\/((-3)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(813\/5)*628\/((-369264)\/882)?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 + 4 - (-10 + 5 - 7)) + 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 14. Let t be n(11). Suppose -3*q = 0, -42 = 2*l + t*q + q. Is (l\/6 - -3)*-154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9967.\nAnswer: 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 167347681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 8 - 46*g + 32*g)*(18 + 14 - 52 - 27).\nAnswer: 658*g - 94","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094846 rounded to 6 dps?\nAnswer: 0.000948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let q(n) be the second derivative of -41*n**3\/6 + 12*n. What is g(q(a))?\nAnswer: -3362*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 5. Let j be y(-7). Suppose -4*q = 5*a - 36, 4*q - j = 4. Solve -k + a*k = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.1 - -1.9. Let t = a - 4. Let b = 3 - t. Does b = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 26 = 104 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (-117 - -127)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 9*t**2 - 6*t - 7. Calculate a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 39*o**2 - 1191*o - 110. Let h be p(-36). Let r be (1 - 2)*2 + 3. Let q = r - 5. Sort -1, -5, q, h.\nAnswer: -5, q, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724137.1 decades to years.\nAnswer: 7241371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.180466 rounded to one decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14160150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.2 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (0 - 9) - 268\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*f - 90, 0 = b - 2*b + 5*f - 12. Solve 3*s + b = -w, -4*w + 0 = -8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*t = 4*t - 12, y - 3*t = 8. Let o = y - -5. Let l(q) = -q. Let j(b) = 8*b + 3. Let m(r) = o*j(r) + 6*l(r). Differentiate m(u) with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/9 and -151\/6132.\nAnswer: 18396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138269 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-4)\/14)\/((-8)\/(-14)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 862.7 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*r**2*x + 7*r*x + 46*x - 29 with respect to r.\nAnswer: -278*r*x + 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57038, -114086, -171136, -228188?\n\"Answer: -c**2 - 57045*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*k*z**3 - 24*k + 3 wrt z.\nAnswer: -120*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(-1\/4)\/y)\/y*y)\/y*y)**(-18)*(y**2)**15)\/((y**(1\/5)*y*y)\/((y**(-9)*y*y*y)\/y)*y\/(y\/y**(3\/4)*y)*y**(-1\/8)*y) assuming y is positive.\nAnswer: y**(987\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 55 + 105 + (0 - 5 + 4)*(-5 + 1 + 5))*(-2*a**4 + 0*a**4 + 0*a**4) to the form f*a**3 + k*a + i*a**2 + m + s*a**4 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673787 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 - o - 1. Let l(s) = 5*s**3 + 9*s**2 + 5*s - 12. Give 6*b(w) + l(w).\nAnswer: -w**3 + 3*w**2 - w - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (71 + -16 + -19) - -15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - 0.744. Let u = 74.036 - t. Let j = -70.85 + u. What is j rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {j: 2, n: 7, p: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l + l**2 + 3*l**2 - 35*l + 14*l + 8 = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.067 + 0.933. Which is the third biggest value? (a) 5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3553 + 3980. What is the greatest common divisor of 112 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2364 bigger than -2364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/54*(1\/((-24)\/4))\/(75\/(-900)).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Let c(x) = 4*x. Let i be c(o). Suppose -2*u + i*n = 2*n - 52, -4*n + 131 = 5*u. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 597*z - 43. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -31, -3, -0.025?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-14 - (66 - 1))) + 7 + -13\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37, 135, 291, 499, 753, 1047, 1375, 1731?\n\"Answer: -r**3 + 35*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*x + 51 - 51 + (1 - 4 + 1)*(-1 - 2*x + 1) + (-10 + x + 10)*(-1 - 4 - 1) + 2*x - 1 + 1)*(-3 + 4 - 4) in the form m*x + b and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*z + 1037*z - 3*z**2 - 520*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 87*a - 1 - 5*a)*(-5*a - a + 4*a) as n*a**2 + c*a + m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14180600 to the nearest ten thousand.\nAnswer: 14180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h + 30 = 0. Is h\/4*-22 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42301 (base 9) to base 12\nAnswer: -1420a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**4 + 9*a**3*w + a**2*w + 45*a**2 - w wrt a.\nAnswer: -192*a + 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 1028*t**2 - 2063*t + 3090.\nAnswer: (t - 1030)*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -25361 to the nearest 100.\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(162) - (sqrt(162) + -2 + sqrt(162) + 1 + sqrt(162))**2 - sqrt(18)\/(sqrt(576) + (sqrt(576) - (2*sqrt(576) + sqrt(576)) - sqrt(576)))) + 4.\nAnswer: -1453 + 1009*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 39*v - 232. Let l be o(6). Find the second derivative of -168*a**2 + 18*a**l + 76*a**2 + 4 - 6*a wrt a.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.263776 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - 0.05. Let t be 0 + 2*(-3)\/8. Let q = 2 + -1.8. What is the nearest to a in q, t, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204250 + 5?\nAnswer: 204255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18143541\/47585 - -242830545623\/637543830. Let q = 1\/4774 + u. Find the common denominator of -7\/33 and q.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from ffhfffhhfhchfffff?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from sryoarg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 535790 and 22904.\nAnswer: 15002120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/36 and -5\/137867.\nAnswer: 4963212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 148 - 62. Let n(t) = 8*t**2 + t + 6. Let c(k) = 2*k**2 + 1 - 4*k**2 + 3*k**2. Give y*c(p) - 2*n(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1.838\nAnswer: -0.3676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 e when three letters picked without replacement from {e: 5, m: 3, t: 1, p: 1, n: 5, z: 3}.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22\/5, 17, 0.5, -0.05, 1.1, 3\/2, -0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/15)\/((-1)\/3). Solve -z*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 50 = -4*s - s, -49 = -2*s + 5*n. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, s: 2, z: 2, b: 2, x: 1, n: 5}. Give prob of sequence ssd.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 15.8. Let l = -14 - o. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*r**4 - 4*r**2 + 25*r - 18566573 wrt r?\nAnswer: 188*r**3 - 8*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 6. Let y be g\/2 - (2 - 3). Suppose -29 = -2*o - 5*w, o + y = 3*w - 8. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 48599325.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Let v = 1 - f. Suppose v = q - 7 + 1. Solve 16 = q*y - 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*p - 10, p = 3*g - 4 + 9. Let r = -5284\/11 + 31733\/55. Let x = -97 + r. Which is the second smallest value? (a) 2\/7 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12572506 - 0.2.\nAnswer: 12572505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1565, -1565, -1567, -1571, -1577?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.5 + 0.5. Let a = 9.5 - f. Which is bigger: a or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from adkddavd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from eifiibffesf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -66537 (base 8) to base 4\nAnswer: -12311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyexxylceyqyxxy. What is prob of picking 1 c and 3 y?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d + 18 = -59*d. List the prime factors of 3\/((-2538)\/852 + d).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14359576, -14359574, -14359570, -14359564, -14359556?\nAnswer: -14359546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r**3*(r**(2\/3))**(-3\/20))**(-18))**49 assuming r is positive.\nAnswer: r**(9261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12711463 divided by 12711463?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-32)\/(-8)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29011340 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**2 - 48*a - 7\/3*a**3 - 1\/4*a**4 + 10. What is the first derivative of s(y) wrt y?\nAnswer: -3*y**2 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-15) - ((-55)\/22)\/(100\/(-32)). Sort -559, -10, j in decreasing order.\nAnswer: j, -10, -559","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 96*b + 1292 - 1292 - b**2 to the form p*b + v*b**2 + o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 + 641. Suppose -138 = -4*k + 2*r, 5*r - 95 - 40 = -5*k. Let m = -32 + k. Is o(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1\/3, -0.2, -19, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 1564 - 848 - 716.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 37, 75, 139, 235, 369, 547?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 12*r - 10. Let d be u(-11). Let z be 60\/(-14) - (-4)\/14. Suppose 84*q - 81*q = -15. Put q, z, d in ascending order.\nAnswer: q, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n + 2*n + 2*s, n + 2*s - 5 = 0. Let k(i) = 3*i + 3. Let f(w) = -w - 2. Let r(a) = n*f(a) - 2*k(a). What is the derivative of r(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 != 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u + 11. Let d(o) = o - 4. Suppose 16*j = 15*j + 11. What is j*d(t) + 4*n(t)?\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 23*s**2 + 67*s - 803. Calculate y(10).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose 2*a = 3*q + 16, c*q + 2 = -0*q - 3*a. Let y(r) = 11 + 3*r**2 - 4*r**2 - r - 14 - 4*r. Calculate y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1824*n - 7. Is p(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 878301*b**4 + 3*b**2 - 11403*b.\nAnswer: 21079224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - k - 1. Let l(h) = -2*h**2 + 3 + 27*h**3 - 26*h**3 + 3*h - h**2. Give l(s) + 3*u(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101010000101101000 (base 2) in base 12?\nAnswer: 5b6348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20711471\/449190 - 10022\/217. Find the common denominator of -79\/69 and h.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*i - 11*i. Let s be 1\/3 + (-20)\/36. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 8, i: 4}. What is prob of sequence iji?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 + 35 + (-1 - (3 + 0)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53339436 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -376384800 to the nearest one hundred thousand.\nAnswer: -376400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -234*m + 6502. Let n be k(27). Solve n = -52*j - 40*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:07 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.48 from -4318577.\nAnswer: -4318578.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {s: 2, v: 1, p: 1, x: 1, o: 1, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*k + 142*k - 3257 = -17799 - 16908 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*157 + (10 - 8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847565813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 10*a**2 - 13*a - 20. Let o = 61 + -54. Let i be k(o). Calculate the highest common factor of i and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) + (1*sqrt(12))\/sqrt(3)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*q - 23, -4*v + 3*q + 1 + 0 = 0. Suppose j - v + 3 = 0. What is the least common multiple of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:14 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/680)\/((-76)\/(-190)))\/(1\/1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let h(m) = -17*m - 1. Let j be h(-3). Suppose g + j = c*g. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 189.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000301316643 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -3) - (19 - (42 + (2 - -23)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 10, 1, -5 in ascending order.\nAnswer: -5, -2, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 o, and 1 l when four letters picked without replacement from leeeleelojeejoel?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1913*a + 11. Let y be w(5). Let i be y\/(-40)*(-403)\/4. Let z = i - 24114. What is the common denominator of 71\/4 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2 + (-15)\/10) - (-42)\/15\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:04 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 45. Let a be k(0). Solve 4*b + a = 5*n + 12, b = n - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53559821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00368 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -0.079, -2\/3, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -108.5876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/6 + 7*a**3\/6 + 141*a**2. Let n = 148 + -146. Let r(m) = -9*m - 14. What is n*r(l) + 5*c(l)?\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 4}. Give prob of sequence ll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 156, 3 in decreasing order.\nAnswer: 156, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 41 = 5*h - l, -h - l + 13 = 0. What is the remainder when 3\/(-3*(3 + 1)\/(-84)) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19250?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 431921 + 101326. Let j(z) = 2*z - p + 533247. Let t(h) = -874*h. Give t(j(u)).\nAnswer: -1748*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.006 - -5.194. Let h = k - 4.2. What is the nearest to h in 0.4, -0.5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19246242887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k, 4*k - 1 = -x - 6. Let d(f) = -2*f**3 + 32*f**2 - 29*f - 2. Let p be d(x). Let n = 220 + -129. What is the greatest common factor of p and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/11*(-10)\/90*-6\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -9, 2, 33, 90, 179, 306?\n\"Answer: w**3 + w**2 - 13*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 0, 2*r - 10*n + 15*n = -82639. Round r to the nearest 100.\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150425 and 1298825?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.76614.\nAnswer: -5.36298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpywppwpppppwppww. What is prob of picking 2 p, 1 y, and 1 w?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(9\/4)*t*t*t)\/t*(t*t**(2\/29))\/t*t\/(t*t*t*t\/(t**(-8\/3)*t))*t*t\/t**(-18)*t assuming t is positive.\nAnswer: t**(7535\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437303445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/56*-7)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + -33401414?\nAnswer: -33401324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.084274 and 0.3095?\nAnswer: -0.026082803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9575*v - 28771. What is k(3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 149 - 83 - (-13 - -14 - 10)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + z - 60 = -b, -2*z = -8. Suppose 4*t = u + 218, u - 3*u = -4. What is the remainder when t is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 51. Let c be m(6). Find the common denominator of (3\/c)\/((-24)\/504) and -47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -954.2 - 0.4019\nAnswer: -954.6019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 66. Let t be n(24). Let s(a) = -a**2 - 9*a - 9. Calculate the lowest common multiple of s(t) and 43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 354, 8, -5 in ascending order.\nAnswer: -5, -1, 8, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 88*g + 29. Give r(16).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23264 from -32.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 13*k - 13. Find the third derivative of 52*t + 8*t**2 + 9*t**2 - 54*t - 2*t**2 + 248*t**k wrt t.\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 19*u**2 + 43*u + 21. Let k be p(-21). Suppose 0*g - 3*w = -5*g + 1064, -5*g - w + 1072 = k. Let t = g + 1425. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(147\/3822)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3663 + 8432. What are the prime factors of v?\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37012537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 228032 times -0.02?\nAnswer: -4560.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = -r, -2*a + 2298 = r + 2297 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*c**3\/3 + 32*c**2 - 92*c\/3 + 8 = 0. Calculate c.\nAnswer: 3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150985*k**2*s**2 + 261007*k**2 wrt s.\nAnswer: 301970*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4405661 less than 33474.6?\nAnswer: 33476.0405661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/2 - 5\/(-10). Suppose x*t - 146 = 54. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198\/43 + 397\/301. Find the common denominator of 26\/33 and y.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.002438929 and -6.676371?\nAnswer: 6.673932071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 756 and -236?\nAnswer: -178416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238 - -237. Let n be (5 - y)\/210 + 0. Which is the second smallest value? (a) 2\/15 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqgsssqgsggqgrss. Give prob of picking 2 g.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6130*a**2*z**2 - 8*a**2*z - 9*a**2 - 5*a + 838 with respect to z.\nAnswer: 12260*a**2*z - 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nek when three letters picked without replacement from nnekennnennneekk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-12)\/(-8) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(34)\/sqrt(2) + 5).\nAnswer: 6*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3796?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78567513*b**2 - 151893730*b wrt b?\nAnswer: -157135026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 23*v**2 - 13*v. Let c(l) = -l**3 - 11*l**2 - 6*l. Determine 13*c(k) - 6*y(k).\nAnswer: -k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15994 - 66349 = 1119*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15740443455077 - 19?\nAnswer: 15740443455058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78661710 and 77938?\nAnswer: 550631970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from xvvkakk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843508814?\nAnswer: 2, 3, 7, 43, 239, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 1 - 3. Let z = 250774\/81 + -3096. Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2162048*k**5 - 525422*k?\nAnswer: -43240960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + o**2 + 2*o**2)*(125 - 56 - 54)*(-3*o**2 - 7*o**2 + 4*o**2) in the form y + c*o + p*o**4 + i*o**2 + z*o**3 and give p.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, p: 6, b: 4}. What is prob of picking 1 f and 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 1969 - 455 = 0. Round r to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.46975 less than 9?\nAnswer: -7.46975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -212 divided by 53\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.61 + -0.3. Let y = g + -0.276. What is y rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:51 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2065870 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3 - 2*q**2 - 81*q - 906 wrt q.\nAnswer: -3*q**2 - 4*q - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17611 by -1601.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9231*j. Let d(n) = 13974*n - 27942*n + 13967*n. What is d(r(l))?\nAnswer: 9231*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 7*i - 1. Let s(m) = 81 - 81 - m**3 - 6*m. Let b(n) = -3*a(n) - 4*s(n). Let c(g) be the first derivative of b(g). Differentiate c(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1033 + -1042. What is the smallest value in 0.3, r, 2, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let r(j) = -j**2 + 2. Let f be r(4). Let k be f\/(-10) + (-3)\/(-5). Suppose 3*x - k = 1. What is g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98147254?\nAnswer: 2, 49073627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18995, 39340, 59691, 80048, 100411?\n\"Answer: 3*i**2 + 20336*i - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14220478*b**3 - 630140*b + 13 wrt b.\nAnswer: -85322868*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 14*u**3 + 35 + u - 18 + 2*u**2 to the form z*u + x*u**2 + m + b*u**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/27453343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.20500856 rounded to 1 dp?\nAnswer: -26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.137 - 0.285. Let n = g - -0.018. Which is the nearest to n? (a) 2\/9 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136213 is divided by 471.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 72*i + 9. Let f be z(5). Does 12 divide ((-6)\/(-18))\/(3\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 2*s**2 - 3056*s - 66896. Calculate j(-34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.467343 millennia to decades.\nAnswer: 546.7343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**3\/6 + 35*q**2\/2 + 13*q. Is z(-14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -470\/9 - -52. What is the smallest value in j, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30 (b) 0 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 - 109. Let t be 3*(150\/(-18) + 4 - -4). What is the remainder when q is divided by (-29 - -28)\/(t\/41)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 1 - 1)*(1 - 2 - 1)*(-4*n + 1 - n**2 + 6*n + 1) + 10*n**4 - 21*n**4 - 15*n**4.\nAnswer: -32*n**4 + 12*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:29 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/60 + 3*o**4\/8 + 19*o**3\/6 + 2*o**2 + 596. Calculate r(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 67*y**2 - 139*y + 83. What is t(2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -o - 1, 3*o + 2*o + 2*u - 63 = 0. Suppose 5*k + o = 3*h + 3*k, k = 2*h - 8. Solve 2*v = -2*j + 12, 5*j = h*v - 4*v + 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -144?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 0, -2.\nAnswer: -2, 0, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 4*x. Suppose -q = -4*q - l + 4, x*q - 3*l = 16. Suppose 0 = -r - 4*r, 3*g + 3*r = 12. Solve g*a = -2*m - 16, -4*m - q*a + 1 = -5*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from zuuuz.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4))**39\/(t**(9\/4)*(t*t**(-3)\/t)\/t) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16732 + -16732.1. Let a = 0 - -0.4. What is the nearest to o in 3, -0.53, a?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47520?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -5) + (0 - -3). Is 8 a factor of (-9)\/((-27)\/48)*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3 + g - 7 + (4*g + 12 - 12)*(1 + 2 - 4).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.9569691 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263077 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - 2) - (-54 - -65).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 450*j**3 - 1684?\nAnswer: 1350*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-20) - 151\/(-5)) + 0. Let a = c + 20. Let q = 9 + 1. What is the highest common divisor of a and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(2\/39)\/g)*g*g*g)\/g**(-3\/10)*(g**(2\/5)\/g)**(-23) assuming g is positive.\nAnswer: g**(8209\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 3) + (-42)\/21. Suppose -5*k - q*n = 0, -2*k = -n - 1 - 8. Solve 0 = -5*w - k*b + 29, 4*w + 2*b + 2*b = 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 4*v = -30*o - 12, -5*o - 4*v = 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 328.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) -0.1 (c) 3 (d) -150592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 5:26 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -175 times 89.8\nAnswer: -15715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 + w + 1. Let u(z) = -2*z - 6*z**3 + 7*z + 6*z**2 - 3*z**2 - 2 + 7. Let r(f) = -u(f) + 5*x(f). Find the third derivative of r(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 456.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b*c**6 + 9*b*c**5 - 2*b*c - 2*b - 2*c**2 wrt c.\nAnswer: 960*b*c**3 + 540*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 2*g + 14. Suppose -4*w = 5*y - 24, 10*w - 7*w - 18 = 4*y. What is the units digit of r(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664016281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5284*n - 5284*n - 18*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6908 + -6908.1. Which is bigger: k or 2649?\nAnswer: 2649","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/9)))\/i**(2\/17)*(i**(-1\/4))**(-16) assuming i is positive.\nAnswer: i**(628\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/60 - 3*p**5\/10 + 9*p**4\/4 - 9*p**3 + 16*p**2 + 6*p. Suppose q(d) = 0. What is d?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.294723 and -3.\nAnswer: -5.294723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 - 9 - (-7 + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + i - 625 = 2*i, 1253 = 4*g + i. Let z = g - 304. Solve d = 4*d - z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-15))\/(2\/(-6)). Let c(d) = -d**3 + 8*d**2 - 6*d - 5. Let a be c(7). What is the third smallest value in u, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:44 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151 * 3.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:18 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 22*x**4 + 4*x**3 - 4*x**2 - 17*x. Let i(v) = 23*v**4 + 5*v**3 - 5*v**2 - 17*v. Let p(s) = -4*i(s) + 5*m(s). Find the second derivative of p(c) wrt c.\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p - 1. Let n be g(-3). Suppose 4*u + 4 = n. What is the remainder when (-3)\/15 - 512\/(-10) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3404 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 75000. Let w be 0 + (18 - (-2 + -1)). Let q be (f\/1)\/(w\/(-1820)). What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 402606 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 5*t - t + 0*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*k - 6 - 6 = 0, 5*k = -4*x - 37. Let d(a) = a**2 + 9*a + 6. Let f be d(x). Which is greater: f or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = v - 6, -3*v - 3*b = -2 - 1. Suppose 2*u + v*u = 24. Find the third derivative of 3*x**6 - 4*x**6 - 11*x**u - 5*x**2 wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a - 450. Suppose -5*n + 10*n - a = 0. Calculate the least common multiple of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let f = -32 - -255\/8. Is f at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**9\/1512 - f**6\/120 - 2*f**3\/3 - 1. Let u(t) be the third derivative of a(t). What is the third derivative of u(k) wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k**2 - 5*k + 15. Let l(x) = x**2 + 1. Let c(n) = -f(n) + l(n). Let s be 18\/24*(-6)\/6*-4. What is the units digit of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5))**(-3)*(g\/(g\/(g*g**(-1\/2))))\/g*g\/(g**1*g) assuming g is positive.\nAnswer: g**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -37. Let p(k) = -102. Let w(d) = -11*a(d) + 4*p(d). Let q(m) = 3*m - 1. Let t = -31 - -34. Determine t*w(l) - q(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 9098, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 61963, 2 in decreasing order.\nAnswer: 61963, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971 or 1882?\nAnswer: 971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1 + 3 - 1 + 17*u**2 + 0*u. What is the remainder when g(2) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 5*s**2 + 5*s + 1. Let w(i) be the second derivative of i**4\/12 - i**3\/6 + 184*i. What is 2*u(z) + 10*w(z)?\nAnswer: 6*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 2. Let q(r) = r**2 - 9*r - 39. Let k be q(12). Give a(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 73*p - 5235. Give q(77).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 3. Let j(w) = -13*w - 10. Let l(o) = 7*b(o) - 2*j(o). Let v be l(-2). Suppose -v*h = -8*h + 925. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 9*y + 2. What is the second biggest value in y, 4, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120350 - 130?\nAnswer: 120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -44*w**2. Let h(s) = 2*s**2 + 5*s + 16. Calculate h(v(b)).\nAnswer: 3872*b**4 - 220*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 12*u + 26. Calculate the smallest common multiple of j(-2) and 69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -456*y**2 - 301*y**2 - 407*y**2 + (15*y - 133 + 133)*(6*y - 3*y - y).\nAnswer: -1134*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18198 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -108. Suppose j*d - 79*d - 180 = 0. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, and 1 l when three letters picked without replacement from slxllrxxlxpn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31825\/(-275))\/(-19) - 5.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2917132 or -2917133?\nAnswer: -2917132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.2424, -1\/2 in ascending order.\nAnswer: -1\/2, 0.2424, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 3460 = -180*z + 21*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j**(-2\/3)*(j\/j**(-1\/2))\/j*j\/j**(2\/7) assuming j is positive.\nAnswer: j**(-61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**5\/30 - 2*o**3\/3 + o**2 + o. Let p(u) be the first derivative of g(u). Differentiate p(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 46130*o - 560. Let n(p) = 3844*p - 48. Give 6*b(w) - 70*n(w).\nAnswer: 7700*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000664064 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92335?\nAnswer: 5, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.19 (b) -2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 > 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5368, 43128, 145650, 345310, 674484, 1165548?\nAnswer: 1850878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0628 + -0.7426. Let y = r - -0.0418. Let w = 0.637633 + y. What is w rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803786 != 20803797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120\/31 + 1847\/341. Let c = -607 - -5435\/9. Calculate the common denominator of c and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 - 9*n**2. Let j(t) = -25*t - 295. Let i be j(-12). Let m(h) = -4*h**3 - 8*h**2. Give i*r(l) - 6*m(l).\nAnswer: -l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -445*n**3*r**2 + 3*n**2*r**2 - 34*n*r**2 - 3*n*r wrt n?\nAnswer: -2670*n*r**2 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227041*d - 75648*d - d**2 - 75698*d - 75695*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 769 - 566. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 11. Let r be o(0). Let y(n) be the second derivative of -2*n**3\/3 - 19*n**2\/2 + 18*n. Let l be y(r). Solve -4*z = z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 4442.6472195?\nAnswer: 4442.5472195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 8. Let f(b) = b**2 - 3*b - 4. Let h be f(s). Solve 0 = -l - q - 1, h = -4*l + 5*q - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42322 is divided by 21058.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84948 by 28316.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.25644 * 5.\nAnswer: -186.2822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/382 and -133\/6.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 9*o**2 + 5*o + 20. Suppose -42 + 10 = 4*b. What is the units digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - -8. Let h = -38.9999926 + l. Round h to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 1920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*j + 3 - 701 = 1278. Let d(p) = 15*p**3 - 13*p**2 + 14*p - 9. Let b(x) = 7*x**3 - 6*x**2 + 7*x - 4. Determine j*b(l) + 6*d(l).\nAnswer: -l**3 - 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -69.72 times -0.03\nAnswer: 2.0916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*o. Is ((-3)\/(-6))\/(o\/18) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26964, -26967, -26970?\n\"Answer: -3*w - 26961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:36 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6a (base 12) in base 13?\nAnswer: -901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 - 632798 + 632798 - 73*w**3 to the form c*w + t + x*w**3 + l*w**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 10*o - 14*o + 184, 0 = o - 4*r - 57. Suppose 0 = t + 2*t - 84. Let a = t - o. Find the common denominator of -49\/9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 5*h - 16, -2558*m + 2554*m + 28 = -2*h for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3616 divided by 58\nAnswer: 1808\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 35\/14) + 18\/108.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 604133890 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1812.7 - -1743.2. Put -1\/4, -2\/9, d, 0.5 in decreasing order.\nAnswer: 0.5, -2\/9, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2de83 (base 15) in base 14?\nAnswer: -3c11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1259071 divided by -120\nAnswer: -1259071\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u**2 + u - 1. Let m be 9 + (-2 - -3) - 1. Let f = -8 + m. Let a = 0 + 3. Let b(h) = 5*h**3 - 3*h**2 - 2*h + 3. Calculate a*n(v) + f*b(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23 - 25 - (-95)\/(-25)*2. Let w = 36 + -36.1. Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:55 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3734*v = 3243*v - 572114 for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, i: 2, s: 1, a: 9}. What is prob of picking 1 s, 2 a, and 1 w?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17718592 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(704) - (1 + sqrt(704)))**2 + -1 + sqrt(1100) + (sqrt(44)\/sqrt(4)*6 - (sqrt(11) + 1)*-4)*6.\nAnswer: 27 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j**2 + j - 1. Let h(f) = 27*f**2 + 51*f + 2. Let d(k) = -h(k) - 2*i(k). Let o(z) = 11*z**2. What is d(o(q))?\nAnswer: 121*q**4 - 583*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l*o*r**3 + 3*l*o*r - 4*l*o + 2*l*r**3 - 12*o*r**3 + 3*r**2 wrt r.\nAnswer: -18*l*o + 12*l - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -8, 25, 1 in descending order.\nAnswer: 25, 11, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 28 + 65)*(-3 - 20*q + 2 + 3*q + (-3*q + 2*q + 2*q)*(2 - 2 + 2)).\nAnswer: -75*q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 46159?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1837, -7360, -16565, -29452?\nAnswer: -46021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 25*j + 6. Let i(s) = s - 1. Give -5*i(r) - k(r).\nAnswer: r**2 + 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + (5 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 5 in decreasing order.\nAnswer: 11, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194804.\nAnswer: 2, 3, 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -308. Let n be (-268)\/d + 6\/33. Let r = -34\/11 + n. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045360 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117509538 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - -293. Let t = k + -325.1. What is t rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 1. Let h be 5\/(-25) - (-3)\/15. Suppose h*g + 3*g - 3 = 0. Let d(z) = 2*z**2 + g + 53*z - 53*z. What is -3*a(j) + 2*d(j)?\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1822044005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + (-26)\/5. Suppose -4 = -2*m + 5*h + 17, -5*m + 4*h + 10 = 0. Sort m, -4, c in decreasing order.\nAnswer: m, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636941847, 636941843, 636941837, 636941829, 636941819, 636941807?\nAnswer: 636941793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -31755000 to the nearest one hundred thousand.\nAnswer: -31800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1396966*s**2 + 230*s. Let q(m) = -3*m**2. Give x(q(a)).\nAnswer: 12572694*a**4 - 690*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681127.379 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106267 is divided by 481.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -5*g**2\/2 - 5*g + 4746. Let k(y) = -3*y + 4*y + 0 + 1. Determine -h(r) - 3*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5335, -5 in increasing order.\nAnswer: -5335, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-6))\/48*4\/((-6)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 101, 366, 883, 1736, 3009, 4786, 7151?\nAnswer: 10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 25*f**2 - 230*f - 1418. Is v(-49) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*p = -4*u - 21, 4*p - 26 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/24 - (-7)\/4. Let i be 1 - (-49)\/2*n. Suppose 8*k - 3*k = i. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (15 + -5)*(3 + 13 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 47*y + 2019. What is h(77)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-4)\/(-2) - 9. Calculate the least common multiple of g*(1\/(-3) + 0) and 12\/(-10)*(-10)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) -2\/11 (c) 66659 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 105. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 66 = -3*c. Let s be 56\/24 + (-65)\/(-3). Let b = c + s. Let x(z) = z**3 - z**2 + 2. Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/5359392 and -83\/2679696.\nAnswer: 5359392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*d + 30*d - 26*d + (0*d - 2*d + 5*d)*(-1 + 3 - 4) + 0 + 0 - 4*d in the form i*d + g and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -p. Suppose 2*j = -11*j + 923. Suppose -64*t - 70 = -j*t. What is the highest common factor of p and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 23*v**2 + 21*v - 28. Calculate o(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 178853 * 0.0721\nAnswer: 12895.3013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -237, -4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzkhhkkkkrkrkrkk. What is prob of picking 1 k and 2 h?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 23*m + 7 = -21*m, 5*u = -m + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36638027 to the nearest ten thousand.\nAnswer: 36640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g**2 + 3*g**2 - g**2)*(1 - 1 - 2) - 2 + 2 - 2*g**2 + 2*g**2 + 2*g**2 - 3*g**2)*(8 - 8 + 6)*(-2 + 4 - 1) in the form k*g**2 + x*g + n and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 19 = -3*w. Suppose w = -0*v + v - 5*g, -4*g + 108 = 2*v. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -48006175632.\nAnswer: -48006175627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1799 + 1933. What is the remainder when 1750 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8, -1\/2, -1 in increasing order.\nAnswer: -1, -1\/2, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-210))\/(9\/12).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k**3 + 4*k**2 + 4*k + 14. Is s(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1307192, 2614435, 3921678?\n\"Answer: 1307243*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6749294 and 9823.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59622 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83860 and 3920.\nAnswer: 2348080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 2*u**2 - 3*u + 0*u)*(-3 + 3 + 3*u) to r*u**3 + j*u + v*u**2 + d and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 479310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5891.68 times -0.417\nAnswer: 2456.83056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 52.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 48*o + 136. List the prime factors of h(27).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*y + 777298 - 783416 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -64, -198, -458, -886, -1524, -2414?\n\"Answer: -7*v**3 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6 = 4*u - 1, 5*v = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159128, -318210, -477292?\nAnswer: -636374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + (-9 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-5))\/((-78)\/26715)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 1 + 5*i + 4*i**2 - 4*i - 3*i**2 - 12*i**2 to the form o*i**2 + x + u*i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12.5 times 0.7\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - v**5 - 4*v**5 + (-v**4 + 0*v**3 + 0*v**3)*(2 + 2*v - 2) + v**5 - 2*v - v**3 + v**3.\nAnswer: -2*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(30)\/(-2*sqrt(3) + sqrt(3)))*-2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, x: 5, q: 2, a: 4}. What is prob of picking 1 a and 1 x?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 135\/(-13))*6*4\/40?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 7*w**2 + 29*w - 15. Let b be r(-7). Which is bigger: b or 867\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*((-104895)\/(-15))\/63.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528889241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200930*y**2 + 401835*y**2 - 200901*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675566443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -14. Let t(s) = -s - 1. Let i(z) = -z**3 + 10*z**2 + 11. Let m(p) = q*i(p) - 5*t(p). Calculate the remainder when m(10) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 10 = 5*a, 4*u - 5 = -5*a. Let r(f) = 18*f - 1. Let m(b) = -35*b + 3. Let p(z) = u*r(z) - 2*m(z). Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3018860769 less than 4?\nAnswer: 3.6981139231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.30009 in 0.2, -0.3, 43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - s**4 + 6700*s**3 - 30235*s**2 wrt s.\nAnswer: 120*s**2 - 24*s + 40200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o**(1\/2))\/o)\/o**(-3\/2))\/(o**(-3))**3 assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 + p - 4408. Let x be s(0). Let k = -35313\/8 - x. What is the common denominator of k and 91\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d**3 + d**2 - d**2 + 84*d**3 - 40*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/67102240 and -69\/20?\nAnswer: 67102240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.8 plus 87.5?\nAnswer: 183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*407\/((-4879930)\/(-165))?\nAnswer: -1\/218","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 28*c + 6. Let l be v(28). Let q = 313 - 2197\/7. What is the common denominator of q and (66\/54)\/(1\/l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 12 - ((10 - (12 - 1)) + -3 - 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2 - -3) + 3\/(-4)). Let b be 15*((-8)\/5)\/(-4). Calculate the greatest common factor of b and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/987 and 73\/8601?\nAnswer: 60207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2553867943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 2. Suppose 2*n - g = -3*n, 5*n + 5*g - 30 = 0. Let k(q) = 0*q + q**2 + 2*q - 2*q**2 + 0 + n. Let x be k(3). What is z(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(8\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/6*18\/24*-2. Suppose -b + h*p = p - 4037, b + 3*p = 4058. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (87\/(-6) + 2\/4). Let q(p) = -9*p + 41*p + 3 - k*p. Give q(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-210)\/(-90) - 2\/(-18)*-3. Solve 4*u + 4*h + 0*h = 12, -2*h + 2 = -s*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141683.9*4.\nAnswer: -566735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j + 2*j)*(j - 6*j + j) - 3*j**3 + 3*j**3 - j**3 + (-j**2 + 4*j - 4*j)*(0*j + 0*j - 2*j) - 2*j**2 + 2*j**3 + 2*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + 4028*r**2 - 8087*r + 73. Give g(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvswpww. What is prob of sequence pwvs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 112*l - 1807. Give c(-93).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125333 divided by 4043.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*m, 4*z + 6 = -9*m + 6*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-165)*(-3)\/((-18)\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*q**3 - 112*q**3 + 203*q**3.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + l - l + (5*l - 6*l + 7*l)*(0 + 1 + 1) in the form b + d*l and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22248 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 3627?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/60 + 3*n**2. Let t(h) be the first derivative of 0*h - 1\/2*h**2 + 1. Calculate u(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42154988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1\/35*u**5 - 2\/21*u**4 + 1\/210*u**6 + 0*u**3 + 19*u**2 + 0*u + 0. Factor c(o).\nAnswer: 4*o*(o - 4)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t**2 + 14*t - 6. Let h(p) = 10*p**2 - 6*p + 3. Let i(c) = -3*c**2 + c - 1. Let m(q) = h(q) + i(q). Calculate 8*m(v) + 3*u(v).\nAnswer: -4*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -5*d - 2*j, 2*d + 1 + 34 = -3*j - 2*j - 12 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a*a**0)\/a))**(-5\/2)\/((a\/(a**(4\/5)*a*a*a))\/a*a*a**(-2\/9)*a) assuming a is positive.\nAnswer: a**(407\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 + 17818191.\nAnswer: 17818190.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3048 and 30\/(4572000\/(-9295)) + (-2)\/(-40)?\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 65 = 57. What is the third biggest value in -2, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ef - -2967?\nAnswer: 2a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -132*p**3 - 3*p**2 + 39*p - 125. Is t(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - -9)*((-8)\/(-10))\/4. Suppose 4*g - 44 = 16. Solve z = -5*y - 0 + g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -173. Let f(s) = s**2 + 18*s - 281. Let b be f(-28). Suppose 3*u = y, u - 5*u + 4*y = 0. Sort b, a, 2, u in descending order.\nAnswer: 2, u, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-165)\/(-9))\/(-5) - -4. Sort q, -0.3, -0.5.\nAnswer: -0.5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-1 - -2) + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3640 = 5*a + 5*y - 19605, -2*a = y - 9291. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j + 135. Give u(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6562 - 3155 = 51*o + 347 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-21) + (-4 - (-130)\/35). Let p(n) be the first derivative of 1 + 0*n**2 - 3\/4*n**4 + t*n**3 + 2*n. What is the derivative of p(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 7:45 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(2*sqrt(7)) + -2*(0 + sqrt(17)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/9, 0.2, -0.374, -0.4.\nAnswer: -0.4, -0.374, 0.2, 22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -146481965 divided by 515?\nAnswer: -284431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 176 = 86*n - 116 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290186901 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/9)\/(218\/327).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465571207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*t - 184 + 304 + 410 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.009 - 0.009. Let u = -27.7 + i. Let r = 0.01 + 0.99. Which is the smallest value? (a) r (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 12*v + 17*v - 33 - 42, 0 = 5*j + 5*v - 70 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -22 + 47. Suppose 2*o + 130 - 118 = 0. Sort m, o, -1.\nAnswer: o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1.343\nAnswer: -0.1343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 7*g + 9. Let u be t(6). Find the third derivative of u*a + a**2 + 10*a**6 - 3*a + 8*a**2 wrt a.\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - -5) - -1 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*g**4 + 237*g**2 wrt g?\nAnswer: -4320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 519547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31998 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 2*a**2 + 3*a**2. Let z(u) be the first derivative of 0*u + 0*u**2 - 1 - 2\/3*u**3. What is b(z(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(((-2*sqrt(95) + sqrt(95))*2)\/sqrt(5))**2 + (sqrt(1216)*2*-5 - (sqrt(684) + -5 + sqrt(684) + -1))**2.\nAnswer: -1104*sqrt(19) + 160780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 145. Let k = z + 47. Suppose 5*y = 3*y + k. 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: Sort -18, -30, 4, 18 in decreasing order.\nAnswer: 18, 4, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.41 + -2.59. What is the third smallest value in 2\/7, z, 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 1.8. Which is the nearest to 1? (a) 2\/3 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684197069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let o(i) = 1723*i + 20. Give o(p(y)).\nAnswer: -1723*y + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2373, 2495, 2615, 2733, 2849, 2963?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 7*d - 819. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1355, -2719, -4085, -5453?\nAnswer: -6823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 5*i**3 - i**3 - 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 2*z**2 - z. Let r be n(-1). Suppose -6*j + 2*j = g, -g + j = 0. Solve -r*y + 4*y + 8 = g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -15. Let g = q - 8. Let t(b) = -4*b + 32. Let r(f) = -f + 6. Let w(z) = 11*r(z) - 2*t(z). Let x(a) = -2*a + 2. Give g*x(n) - 4*w(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a + 30*a + 15*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10672, -20779, -30322, -39301, -47716, -55567?\nAnswer: -62854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 3084.\nAnswer: 74016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*j + 1782*j + 18*j + 1043*j)*(2*j**2 + 2*j**2 - 3*j**2 + (3*j + j - 5*j)*(0 - 2*j + 0) - j**2 + j**2 + 2*j**2 + 4*j**2 + 0*j**2 - j**2).\nAnswer: 21248*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 387*s + 151. Determine u(0).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/13)\/(l*((l\/(l\/l**2))\/l)\/l) assuming l is positive.\nAnswer: l**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 7. Let o be c(10). Suppose o*r - 63 = 6. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 - -1011101?\nAnswer: 1000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 8112\/5*c + 70304\/5 + 4\/5*c**3 + 312\/5*c**2 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 4) in base 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68751 - -756269\/11. Factor -2\/11*a**3 + 0 + i*a**2 - 6\/11*a.\nAnswer: -2*a*(a - 3)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*d + 6 + 4 = 0, 10 = w + 2*d. Suppose -5*m + 11 - 1 = w. Let f(h) = -h**2 - h**2 + 3*h**m. Let n(x) = 8*x. Determine f(n(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6501 - 45504\/7. Sort -0.1, w, 1\/5, 37, -2 in descending order.\nAnswer: 37, w, 1\/5, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 13. Let f(k) = 0*k + 6*k - 4*k - 3*k + 4. What is f(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*sqrt(19)*2 + (sqrt(2299)*2)**2 + sqrt(2299)).\nAnswer: -5*sqrt(19) + 45980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -9176, 5 in ascending order.\nAnswer: -9176, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -141037 (b) -2\/31 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmf when three letters picked without replacement from {f: 3, m: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 84483, -5, 0.3?\nAnswer: 84483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18598*v**3*z - 50*v**3 + 18096564*z wrt v.\nAnswer: 55794*v**2*z - 150*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196316 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4633328.\nAnswer: 2, 7, 41, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3744 and 4.\nAnswer: 3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54\/239 + 1442\/2151. Let r = 4 - 9. Sort -0.3, q, r, 5 in increasing order.\nAnswer: r, -0.3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1311?\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {y: 11, h: 1, r: 1, d: 1, k: 2}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15338 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: Calculate -706450*-107.\nAnswer: 75590150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-3 - -10) - -1. Let q = k + 6. Calculate the remainder when 29 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42.3545 and -90507.138.\nAnswer: -90464.7835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 518, 1164, 2068, 3230?\nAnswer: 4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 238*i. Let y(o) be the first derivative of o**2\/2 - 78. What is w(y(h))?\nAnswer: 238*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = o, 815*o - 3 = 819*o - 3*r. Solve o*l + 3 = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 49120.36\nAnswer: -49120.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27136303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/13)*(s*s**(3\/2)*s)\/s*(s*s\/(s*s*s**0))**(-38) assuming s is positive.\nAnswer: s**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11*d - 10. Let q be r(10). Let y = 26 + q. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*i**3 + 34 - 4*i - 31 - 2*i**2 + 8*i + 0*i as v*i + h*i**2 + j*i**3 + n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - i - 4. Let h be y(-6). Let b be (5 - 2)*4\/6. Are h and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let c be m(2). Suppose 6*a - c*a = 828. Suppose -4*b + g + a = -2*g, 4*b - 5*g - 410 = 0. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 - 23*o + 2. Let u(y) = y**4 - 20*y**3 - 116*y + 10. Let n(c) = -11*m(c) + 2*u(c). Find the second derivative of n(w) wrt w.\nAnswer: 24*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 100*d**2 + 65*d + 5070.\nAnswer: 5*(d - 13)**2*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179\/541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54.26527 years?\nAnswer: 0.5426527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)*-67 - 1. Let i be (-6 - x\/(-12)) + 6\/20. Let k = -3.5 - -3. Which is the second smallest value? (a) -5 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - 1. Let b be y(-1). Let p = 8 + b. Suppose -12 = p*d - 78. What is the smallest common multiple of 2 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714012 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**3 + 3*q**2 + 11*q + 13. Let p(u) = -1. Let r(h) = g(h) - 6*p(h). Let b be r(11). Round b to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -37*z**3 - 12*z - 56. Let b be 4\/(4\/66*6). Let p(i) = -74*i**3 - 22*i - 113. Let r(g) = b*a(g) - 6*p(g). Find the first derivative of r(m) wrt m.\nAnswer: 111*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 470980*w + 941976.\nAnswer: -4*(w - 117747)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4) + sqrt(45) + sqrt(45))\/sqrt(9) - (-1 + sqrt(500))**2.\nAnswer: -501 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 2*i**2 + 0*i**2 - 66*i**3 - 2*i + 65*i**3 to r + d*i**3 + g*i + x*i**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28437 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 = -a - 12, -3*a = h - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3 - 1813*b**2 + 8546*b?\nAnswer: -24*b - 3626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1596 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 25*y**5 - 11895*y**4 - 250905*y**3 + 210695*y**2 + 52080*y = 0.\nAnswer: -21, -1\/5, 0, 1, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p - 12. Suppose j = g + 4, j = 5*g - 4 + 12. What is the remainder when j is divided by f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(192) - (sqrt(192) + 0))*-2 + sqrt(192))*-1 - (2*sqrt(192)*-2*4 + -2))**2.\nAnswer: 640*sqrt(3) + 76804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/45 + ((-3328)\/(-585))\/(-16). Find l such that 0 - 2\/9*l**3 + 2\/3*l**2 - x*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-33))\/(-50)*(-110)\/6.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 645, 807?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - y = 40, 3*v + 93378*y + 24 = 93373*y for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 - -1985?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-108)*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-16)\/(-56). Let s(f) = 3*f - 4*f + h*f. Let q(b) = 9*b. Determine s(q(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11316 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/8 + 13*t**3\/8 - 61*t**2\/8 + 123*t\/8 - 45\/4.\nAnswer: -(t - 5)*(t - 3)**2*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11972106\/65 or -184186?\nAnswer: -11972106\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1421 - 1412. Let f be (47 - 41)*(-2)\/x. Suppose 4*i - 19 = 3*k, 16 = -k - 2*k + i. What is the second biggest value in k, 2, f, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j + 18. Let f(w) = 5*w + 8. What is -5*f(x) + 2*t(x)?\nAnswer: -7*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405781515*f + 320916578?\nAnswer: -405781515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 659 + 863 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + sqrt(343) + 0 + sqrt(343) + 1 + sqrt(343) + 0)*3 + -3)**2 + 2.\nAnswer: 1512*sqrt(7) + 27933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 11, -2, -1, 756 in descending order.\nAnswer: 756, 11, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 383, 764, 1147, 1532, 1919?\n\"Answer: t**2 + 378*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w - 3. Determine z(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0009 - -0.0026. Let x = 1.3535 - y. What is x rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-11 + 2740\/248). What is the greatest common divisor of 310 and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g + 11*g - 22*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(-2\/5))))**(-1\/4)\/(z**(-1\/3)*z*z**6) assuming z is positive.\nAnswer: z**(-421\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**2 + 35*y - 2. Determine b(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -30677 greater than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/5)*t)\/t)**21)**(-12)*(t*(((t*t**(-1)*t*t)\/t)\/t)\/t)**(11\/5)*t\/(t**0*t)*t**(1\/3) assuming t is positive.\nAnswer: t**(-2263\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100.5 + -100.1. Suppose 0 = 4*q - 13 - 7. Suppose -2*c + 4*x - q = x, -30 = -5*c - x. What is the closest to 0 in s, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.93 * -1.29\nAnswer: -23.1297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4900 and 438456900?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2\/5 + 256*n\/5 + 768 = 0. Calculate n.\nAnswer: -40, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*i, 4*v + 14 = -4*i + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 0 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -5, 10, 31, 58, 91, 130?\n\"Answer: 3*q**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203205529 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = -3*b, -3*w + 12 = b - 2*w. Let k = -1633 + 1661. Calculate the highest common factor of k and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -699, -695, -691, -687, -683, -679?\n\"Answer: 4*w - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + 13*f + 5. Let p be k(-5). Let q(x) = -18*x**3. Let r be q(-1). What is the highest common factor of r and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304973 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a + 124. What is r(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 4*c + 4*c)*(-2*c**3 + c**3 + 3*c**3) - 2 + 2 - 2*c**5 + 141*c**5 + 12*c**5 + 20*c**5.\nAnswer: 175*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3001 + 3001 - 2*b + 0*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 64*m**2 - 114*m**2 - 7*m**3 + 2*m**3 + 50*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 2754 - 8271 + 2757 + 2759 - 5*l.\nAnswer: -9*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232895 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*d + 26, -2*d - 10 = -4*q + 10. Let m be 9\/q + 10\/(-4). Put -1\/4, m, 1\/7 in decreasing order.\nAnswer: 1\/7, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 + 16*u**2 - 9*u**2. Let c(t) be the third derivative of 2*t**4 - t**2 + 40. Calculate d(c(f)).\nAnswer: 4608*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/((-34)\/2737)*(-4)\/2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:35 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2779 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -21.3\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172875329 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*f**2*j**2 + 27*f*j**2 wrt f.\nAnswer: 446*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 5*k**2 + (-4*k - k + 4*k)*(3*k - k - k) - 3*k**2 + k**2 + 0*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (51 - 41)) + 72.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**(7\/2)*q))*q*q**(-2\/113) assuming q is positive.\nAnswer: q**(1239\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000871 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/3))**44\/(m**(1\/3))**(-37))**(-5\/6) assuming m is positive.\nAnswer: m**(-625\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/672)\/(5\/(-1614)*-3) + -19?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -39 - (25 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y. What is the tens digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3\/(-180)*10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4802\/(-686) + 7 + 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2 + 338*l + 16357.\nAnswer: 6*l + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:37 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-5)*2*7\/49.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(-1\/5)*l*l)\/l*l*l*l*l)\/l**(-6\/11))\/(l**4*l*l)**(-10) assuming l is positive.\nAnswer: l**(3759\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + -48. Let y = 185 + h. What is the closest to 0 in 2\/3, y, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22*u**2 - 1 + 44*u**2 to k*u + p*u**2 + t and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 6\/5, -2, 5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 345468931?\nAnswer: 345468928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 755.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 18 = -9. Put c, -15, -0.4 in ascending order.\nAnswer: -15, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 57\/35 and -186 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.472 - 1.618. What is y rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110037975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 442850 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149006?\nAnswer: 2, 11, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1244, 17, 12 in ascending order.\nAnswer: 12, 17, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -8 - 8 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 43 = -31. Let g be (((-126)\/c)\/7)\/((-5)\/10). Is g greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o + 32. Suppose s = -j + 11, -5*j + 2*s + 40 = 4*s. Determine z(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*m - 1)*(-59 + 296 + 56).\nAnswer: -586*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y)*(2*y + 0*y - 4*y) + (-y + 3*y - y)*(-4*y + 5*y - 2*y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (3 + sqrt(1008)*2))**2 - (sqrt(1008) - (((sqrt(1008) - (4*sqrt(1008) - sqrt(1008))) + sqrt(1008))*-2)**2) - (sqrt(7623)*2*6)**2*1.\nAnswer: -1092663 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/64 and -85\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, m: 4, o: 3}. Give prob of picking 4 n.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -7 (c) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4 + 66171*r**3 + 1191762*r**2 + 6357216*r + 8476800 = 0. What is r?\nAnswer: -8, -2, 22075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/19)*k**(4\/17))\/(((k*k\/k**16*k)\/k)\/k*k\/((((k\/(k\/k**(1\/5)))\/k*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(19998\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from souulxl. Give prob of picking 1 x, 1 u, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -19. Which is the closest to -1? (a) 0.02 (b) -1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/7 + 704*p\/7 - 2014 = 0?\nAnswer: -371, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a factor of 571510440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggynggngggggggk. What is prob of picking 1 n and 1 y?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248425509 is divided by 585?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 433363 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let q be 2\/(-9) + (-141)\/(-27). Let m(v) = 2*v + v - 4*v + q*v. What is w(m(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.76 + -80. Let s = -0.01 + 0.15. Let p = s + y. Round p to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 6 = b + 11*i, -2*b = i - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 7556596*n - 7556600.\nAnswer: 4*(n - 1)*(n + 1889150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -3, 0, -5 in descending order.\nAnswer: 124, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/4))**42)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.41 - -19.59. Let v = g + -22. Let r be (-2)\/(-5) + (-2)\/(-5). Which is the smallest value? (a) v (b) 4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from {g: 2, s: 2, h: 1, q: 1, v: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) 352\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*s + 5*b + 20, 5*b = 0. Suppose -2*y = s, -3*y + 4*y + 17 = 5*n. Suppose n*m - 6 = 0, -3*m - 2*m + 72 = 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3271 divided by -4\nAnswer: -3271\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {n: 13, e: 3, z: 1}?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7483, -8\/11, -3 in descending order.\nAnswer: 7483, -0.2, -8\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w**(-3)*w)\/w)\/w)*w)\/(w\/(w\/((w\/(w*w**(3\/4)*w))\/w)))*((w\/w**7)\/w)\/(w*w*w\/(w\/(w*w**11))*w*w) assuming w is positive.\nAnswer: w**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 47, 4, 5, -3, -2\/43?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*j - 116 = -95, 0 = -4*t - 4*j - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12.9, -2\/33, -2, 1 in decreasing order.\nAnswer: 1, -2\/33, -2, -3, -12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(4 + sqrt(52)\/sqrt(4) + sqrt(13)).\nAnswer: -10*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:51 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (900\/(-55) - -8))*(-1485)\/(-10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118449?\nAnswer: 3, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:44 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 6*x - x + 5*f, 40 = 2*x + 4*f. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1914 and 1204566.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 3*r**4 + 6*r**4 + (-4*r**3 + 8*r**3 + r**3)*(r - 2 + 2) + 28*r**4 - 90 + 90.\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - 1. What is o(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + r - 2, -16*t + 52 = -227*r + 223*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -6 + -6)*(-6)\/10. Suppose 4*l - 2*x + 7 = l, -15 = -j*x. Let s(c) = 123*c**2 - 4*c + 5. Calculate the remainder when s(l) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146437, 5, 2.\nAnswer: -1146437, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 20. Let f be l(-10). Let p be 29 + -1 + 3 + 1. Suppose g + p = 3*s, 0 = s - 0*s + g - 16. Calculate the highest common divisor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-8) + ((-12)\/16 - 0). Solve -v - 13 = 5*x, 2*v + v + x = j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-26)\/4)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*(-6)\/(-9))\/(16\/(-24)). Let y(p) = -8 + 5 - 2*p - r*p**2 + 2 + 0*p**2. Determine y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let q be ((-2)\/4)\/(z\/8). Suppose -n = 2*o - q - 3, -2*o - 4*n + 16 = 0. Solve 3*p = -4*j - 31, 5 = o*p - 5*j - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 44 - 84 = 0. Let r(a) = 3*a + 8. Let b(h) = -3*h - 9. Calculate n*r(f) + 4*b(f).\nAnswer: 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374389817 to the power of 1\/2, to the nearest integer?\nAnswer: 19349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66 - 84 - (-9 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7063 from -16.5.\nAnswer: -7079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 4, e: 1, t: 1, a: 4}. Give prob of picking 1 r and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 3001*z - 90330. Calculate v(31).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 9797040.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/4 - 2)*40\/(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 10, 5*x - 4 - 13 = p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*l**3 - 8*b*l**2 + 3*b*l + 17952*b - 3*l**3 + 9*l**2 - 9*l - 438 wrt b?\nAnswer: 2*l**3 - 8*l**2 + 3*l + 17952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228820, 228811, 228796, 228775, 228748, 228715?\nAnswer: 228676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758912*g**4 - 135085720*g**3 + 2186543743*g**2\/8 - 887129*g\/4 + 45 = 0. Calculate g.\nAnswer: -180, 1\/2464, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232747538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 594.06, -1, -0.1, 17, -3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 460bb?\nAnswer: 46090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37765 and 84207235?\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4\/3 (c) 1\/6 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 946204 < 946218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57434327 a multiple of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 + 0.05. Let z = 5.6 + -4.52. Let v = z - y. Round v to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 30386372.\nAnswer: 15193186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 - p**4 - 43710*p**3 - p**2 - p + 449242.\nAnswer: -120*p**2 - 24*p - 262260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321221 (base 4) in base 8?\nAnswer: -17151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7594808 divided by 3797404.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 81119.07 weeks?\nAnswer: 49060813536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a - 35\/8*a**4 - 2\/5*a**5 + 33*a**2 + 1\/40*a**6 + 147*a**3 + 0. Factor v(y).\nAnswer: 3*(y - 7)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 32*j - 43*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0591655 to three decimal places.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 152*s + 6048. Calculate the lowest common multiple of x(62) and 4.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32131493 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16408 (base 10) to base 8\nAnswer: 40030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 31*t**2 + 65*t + 39. Let j be h(33). Let u(z) = -10 - z**3 + j*z + 0*z**3 - 1 + 4*z**2 + 4. What is u(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 4487 - 11902 = 13548. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17481 minus -5?\nAnswer: -17476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*g + 213*g = -171. Which is the second smallest value? (a) -1\/5 (b) g (c) -487\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186230356?\nAnswer: 2, 83, 3572983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 16. Determine i(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u = 412 - 215 - 359 - 1749 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (3 + -5) - 2. Let r = 1 - u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.357.\nAnswer: -0.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.033 in -2\/21, -5, -0.04, -56, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.882*197.5.\nAnswer: 4519.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.11 + 4.11. Let y = 5\/6 - 23\/24. What is the third biggest value in m, 2\/7, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 1, q: 1, a: 2}. What is prob of sequence rq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 0, -3 in ascending order.\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1078) - (sqrt(1078) + sqrt(1078) + sqrt(1078)*1))\/(2*sqrt(98)) + -4*sqrt(55)\/(sqrt(5) + (sqrt(5) - sqrt(80)))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(72)\/(sqrt(24)\/sqrt(4))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315738421.\nAnswer: 5081, 62141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12309 and 2580041.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(2*sqrt(6)))**2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6749 + -313.3351. Let m = i - -317. Round m to 4 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/35)\/(24\/(-84))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, -4, -155, -62, -2 in descending order.\nAnswer: 1, -2, -4, -19, -62, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1581)\/7803 - (-4)\/54*3. Which is the closest to 2? (a) h (b) 2\/17 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9046 + 6431 = -547*y - 5350 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:03 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44 times -0.5?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20 and 2\/((-3)\/((-30)\/(-25))).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b + 2. Let d(j) = j**2 + 4*j - 3. Let n(r) = r**2 + 4*r - 2. Let w(q) = 3*d(q) - 4*n(q). Let u be w(-3). Determine x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 45*n - 76. Calculate v(43).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16261\/13938 + 2 + (-22)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -110.95\nAnswer: -22.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8051 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 2. Let l(o) = o + 1. Let g(y) = 4*l(y) - p(y). Let a = -23 - -18. What is the units digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/((-2)\/(-24)). Solve 5*k + y = -20, k = -k + 3*y - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 4557?\nAnswer: -4556.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**6\/90 + a**4\/6 + 3*a**3 - 4. Let b(f) be the third derivative of j(f). Factor b(d).\nAnswer: -4*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.114 in 81, -1, -2\/15, 24?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2238*n**4 + 7*n**2 + 7*n + 3025. Let d(h) = 746*h**4 - 2*h**2 - 2*h - 1007. Let y(o) = -7*d(o) - 2*u(o). Differentiate y(l) with respect to l.\nAnswer: -2984*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -30*p + 1. Suppose 0 = -4*x - 1 - 3. What are the prime factors of f(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ubppppymbu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -2) + 146 + -131.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354 - -352. What is the third biggest value in x, 2, 1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212525?\nAnswer: 5, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-675)\/99 + 6\/(-33). Calculate the remainder when (2 - -40)\/a - -50 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 16 = 4*d, 3 = -3*m - 5*d. Suppose -8 = -a + x - 3, 2*x = m. Suppose a*q + 10 = 2*q, 2*v - 2*q - 166 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-55)\/(-20) - ((-33)\/(-12) + -2). Let u(h) = -20*h + 8*h**n - 18*h**2 + 19*h. What is u(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x + 6*x, -5*s + 2*x = 1497. Is -299 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 67. Let i(o) = -4*o - 7 - 3 + 3*o**2 - o**3 + 11 - o**n. Determine i(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 835.8785 kilometers?\nAnswer: 835878.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + (18 - (-26 - -35) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {t: 1, y: 3, b: 5, p: 5, c: 4, h: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12016174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/5))\/((o*(o**(-4)*o)\/o)\/o)*o**(-2\/47)*o**(-1\/7))**(-3\/4) assuming o is positive.\nAnswer: o**(-22773\/6580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**6\/10 + 7*g**5\/10 - 9*g**3\/2 - 2*g. What is the second derivative of y(v) wrt v?\nAnswer: 36*v**2 + 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.1 - 60.09999735. What is p rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/24*121 + 1 and -1 + (-260)\/100*(15\/(-18))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39324008?\nAnswer: 2, 4915501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 286. Calculate p(-22).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**2 + 24*m + 48. Calculate d(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**4 - 11\/5*u**3 + 3*u + 11\/5*u**2 - 9\/5.\nAnswer: (u - 3)**2*(u + 1)*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828811065?\nAnswer: 3, 5, 19, 151, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053839 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590291?\nAnswer: 13, 17, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4636 and 304.\nAnswer: 18544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*-2 - -13. Let i(m) = m**2 - 587*m - 3553. Let n be i(-6). Solve -j - 13 = -n*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25613 at least as big as -5592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 143*l. Let k(a) = 4826*a - 2425*a - 2416*a. Calculate k(w(b)).\nAnswer: -2145*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8507 and 218829.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134*y**4 - y**2 - 11*y + 740.\nAnswer: 536*y**3 - 2*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-3)\/(-6)*-2. Let t be (2\/(-4))\/(g\/(-8)). Let n = t - -18. What is the remainder when 47 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(2 + 15\/(-9)). Let r be (-10)\/j + -1 + -2. Let f(a) = -a**2 - 3*a + 5. Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 + (-11)\/(-3). Suppose -4*d + 3*q + 2702 - 928 = 0, 0 = 5*d - g*q - 2218. Suppose -3*u = 85 - d. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(-2 + 10\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*77 + 909216\/(-5544).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 314*r**2 + 75*r + 11329. What is g(-157)?\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqooqoqoqoqqo?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2191028 and 18?\nAnswer: 19719252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (29 - -5) - 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 6*d - 72 = 0. Suppose -d*o + 532 = -92. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((-2996)\/(-740))\/(-1))\/(189\/(-630))\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 - -4134?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)\/(-1) + 12. Let d(z) be the first derivative of -2*z**3\/3 + 4*z**2 - 3*z + 8. Let t be d(3). Solve s - x + 2*x + t = 0, s - 3*x = c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 4\/18 - (-4730)\/99 - 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31695327 is divided by 1459.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11004193284 rounded to four decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2 - -1) - -3. Suppose 16 = 3*z - j*y, 2*y + 4 = 4*y. Let v be 46\/z - 1\/(-4). Solve 3*k = -0 - v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -i + 2, i - 2 = 3*i - 4*o. Let g be (-31)\/(-8) - i\/56. Solve -5*k = -0*n - 2*n + 5, 4*k = -4*n - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 - 2*d - 50. Calculate y(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 2*p**3 - 2*p**3 + 4*p**3 + 0*p**3 - 6*p**3 + (-2 + 1 + 2)*(-7 + 10 + 7)*(0*p**3 - p**3 + 2*p**3).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 r when four letters picked without replacement from mmrormrmwworomm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or -183?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 4. Let b(i) = -i**3 - i**2 + 1. Let s(p) = -4*b(p) + y(p). Let q(n) = n**2 - 8*n - 4. Let k be q(7). Let x = -7 - k. Determine s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2. Let u(k) = 8*k + 2*k + 4*k - 10*k. Calculate u(b(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2847\/(-219) - 49\/(-4). What is the closest to q in 5, 0.2, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*b + 52 - 248. Solve -11*t - 20 = -b*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1.50908593?\nAnswer: -3.01817186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 31445546.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 82 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 243 + (-107 - -93)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 111*j**2 - 23*j + 28. Let y(o) = -224*o**2 + 52*o - 54. What is -9*s(n) - 4*y(n)?\nAnswer: -103*n**2 - n - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let j = -46.4 + 52. Let a = 0.6 - j. What is the second smallest value in k, a, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104\/3 - 35. Let h = 4 + -3.8. What is the nearest to a in -0.9, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395604, -791585, -1187566, -1583547?\nAnswer: -1979528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3457 + -3346. What is the remainder when 439 is divided by n?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -39*(-2)\/14 - (-9)\/21. Suppose d*w + 24 = 14*w. Solve 3*z - 4 = -0*b + 2*b, -z = w*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 470153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 979 + -442. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -712334*44\nAnswer: -31342696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 774?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 3*v**2 - v + 8*v to f*v**2 + c + d*v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f. Suppose -2*m - 56 = -5*r - f*r, 4*m - 8 = -2*r. Solve -5*v = 4*a + r, 0*a = -2*v - a - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 0 (c) 1\/8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 43*v + 24. Determine q(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*r**3 + b*r**2 - 445706*b*r + b + 5*r**3 + 580*r**2 - 11*r wrt b?\nAnswer: -2*r**3 + r**2 - 445706*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.4 - -7.4. Let f = 31.0000056 + w. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 1008*f**2 + 40298553*f + 61609774458.\nAnswer: -3*(f - 4126)*(f + 2231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485300238 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: What is o in 4*o**4 + 172*o**3 - 552*o**2 = 0?\nAnswer: -46, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 46 - 5\/9*u**3 + 2\/3*u**2 + 1\/12*u**4 + 0*u. Let b(p) = 0. Calculate p.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 40 - (-75 - (-291 - -205)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (12 + -17 - -12) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/324 and -89\/618?\nAnswer: 33372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 5 - 2 - (-1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 92, -3, 103, -1 in ascending order.\nAnswer: -3, -1, 92, 94, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 13*y**2 + 4*y.\nAnswer: y*(y - 4)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**4 + 0*t**6 + 4*t**2 + 0*t + 0*t**5 - 1\/6*t**3 + 0 - 2\/35*t**7. Find the first derivative of w(l) wrt l.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 - 4*h + 17. Give i(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s + 1. Let x be w(3). Let v be (x - 3\/(-2))*2. Suppose -4*y = -0*y - 36. Solve -v*u = -2*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 30*w**4 + 25*w**3.\nAnswer: 5*w**3*(w - 5)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (sqrt(17) + -1)**2 + -4 - sqrt(187)\/(sqrt(1100)*1 + sqrt(1100))*-2.\nAnswer: -19*sqrt(17)\/10 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2*2)**2 + sqrt(19) - (1*sqrt(76))**2.\nAnswer: sqrt(19) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -754, -746, -736, -724, -710?\n\"Answer: d**2 + 5*d - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 9. Suppose 2*x - w = -x. Suppose 12 = 5*g - x. Solve 0 = 2*q - 4*f + 8 + 14, 4*f = g*q + 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.566 to 0 decimal places.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88224.13 tonnes to kilograms.\nAnswer: 88224130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81047 or 81046?\nAnswer: 81046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(3*4\/(-54)). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33048 is divided by 8259.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -69 (b) 15 (c) -30 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let g(c) = -16919*c + 1. Give g(h(v)).\nAnswer: 33838*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 18. Let h be a(3). Solve h = 2*z + 4*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -653*y**3 + 4*y**2 - 4*y - 8. Let g(w) = w**3 - w**2 + w + 2. Give 4*g(r) + q(r).\nAnswer: -649*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19999711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 70, -7, -439 in increasing order.\nAnswer: -439, -7, -1, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1 - 1 - 9*m. Let q(x) = 967 - 2025 + 2*x**2 + 1058. What is n(q(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -40) + (-2308 - -2368)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 7. Let v = -4 + 7. Suppose -12 = -f + c, 2*f - 8*c = -v*c + 27. Suppose f*n - 7*n = 0. Determine u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 18*i + 87. Let u be p(-7). Let l be 0 + (-3 + u\/2 - 2). Let h = -5 + 7. What is the fourth smallest value in h, -1, 19, l?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - ((-108)\/6 - -6). Suppose -54*f + l = -53*f. Solve -f*s + 18 = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*861\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342*z**2 - 341*z**2 - 1484*z**3 + 1021*z**2 + z - 340*z**2 + 0*z to c + q*z**3 + b*z + f*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -114 + 119 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/151, -1250, -10?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -709*j**2 + 1928*j + 9. Let m(i) = 1434*i**2 - 3856*i - 16. Let r(w) = 7*k(w) + 4*m(w). What is the second derivative of r(g) wrt g?\nAnswer: 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10232913*q**2 + 15*q - 847848848 wrt q?\nAnswer: 20465826*q + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1 - -1) + 0)\/(3805\/24352). Solve -16\/5 + 56\/5*q**3 - 12\/5*q**4 - 92\/5*q**2 + b*q = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27928979.\nAnswer: 13, 2148383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*g**2 - 8*g - 4*g**2 + 0*g**2 - 4*g**3 + 10*g**2 wrt g.\nAnswer: -24*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:07 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 135. Suppose 2*b + t = 4*b. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6590, 3, 23.\nAnswer: -6590, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:04 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:27 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 1 - -11) + -6 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)*(-2 + -7 + 5). Let q(t) = t**3 + t**2 - 2. Suppose -n + 17 = -4*n + 2*u, u - 4 = 0. Let z(h) = 2*h**3 + h**2 - 3. Determine n*z(c) + w*q(c).\nAnswer: -2*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -1 + 11, -2*r = 3*l - 6. Suppose r = 3*x - 7*x - 20. Let i(y) = -7*y**2 + 5. Let o(p) = 8*p**2 - 6. Calculate x*o(k) - 6*i(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/139 + 7649\/556. Let c = 33727\/6314 + 7\/451. Find the common denominator of h and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 - 3*t**3 - 1 + 43*t**2 + 3 + (-3*t**2 - t**2 + 5*t**2)*(-29*t + 8*t - 6*t).\nAnswer: -30*t**3 + 37*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 6946*u**2 - 1173*u**2 + 9528*u**2 + 3437*u**2 + 2480*u**2.\nAnswer: u**3 + 21218*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 307 - 65. Let q = n + 48. Let p = -279\/4 + q. Sort -0.8, p, -0.1 in ascending order.\nAnswer: -0.8, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = -0. Solve -d*g + 16 = -4*f, 3*f + 3*g + 12 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = -r + 4*r, -5*r - 11 = 3*x. Which is the nearest to 1\/2? (a) -4\/7 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let r = w - 2. Is 4 a factor of (2 + 1)\/(r\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0244 - -0.02. What is r rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(0 + 2 + 0)*(1 - 1 - 1)*(2*n + 0 + 0) + (-279*n + 2*n - 653*n)*(0 + 1 + 1 + (3 - 5 + 4)*(-3 + 3 - 2)).\nAnswer: 1852*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1 - 1)\/2. Suppose 3*a + 12 = -i*a. Let r = a + 23. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120569, 121312, 122559, 124316, 126589?\n\"Answer: t**3 + 246*t**2 - 2*t + 120324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1783.9 + -1784. What is the fourth smallest value in -2\/3, q, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.7871 to zero dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -0.1. Let a = 1.74 - n. Let d = 0.639999914 - a. What is d rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8287?\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50526996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 26. What is the units digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34061\/10 - 3403. Find the common denominator of (-124)\/170 + 13\/65 and l.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y - 3*j - 7, -4*y = 4*j. Let b = y - -7. Solve -3 = b*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 19. Let b be l(-5). Sort -4, b, -1 in descending order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2282 and 9.\nAnswer: 20538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = -18. Calculate the common denominator of (37\/d)\/(2\/(-12)) and -16\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:57 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013*-21.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.9 + 0.1. Which is the third biggest value? (a) n (b) -2\/23 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1128 * 77732\nAnswer: 87681696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:52 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udnnndtntttxff. What is prob of picking 1 t, 1 d, and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v**3)*((0 + v + 0)*(-3*v + 4 - 4) - 18*v**2 + 18*v**2 + 11*v**2).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -148, -334, -596, -958, -1444, -2078?\n\"Answer: -4*k**3 - 2*k**2 - 100*k + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 = -13. Suppose 4*i + 14 = v*i. Solve 5*o + i = -3*q, -4*o + 2 = 5*q + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1742809 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 291, 0, 38, 1, 4, -1 in ascending order.\nAnswer: -1, 0, 1, 4, 38, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.38 + 2.54. Let q = -0.58 - y. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5)*u*u)**30 assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 0 + 0 + (-2 + 4 - 4)*(-2*l + 0*l + l))*(35664 + 35662 - 71362 - 26*l) in the form c*l**2 + g + d*l and give d.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 13459.\nAnswer: -1\/13459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 + -11 - 44) + -2 + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - k. Let g(t) be the first derivative of -5\/3*t**3 - 40 + 0*t - 7\/2*t**2. Let p(o) = -5*g(o) + 30*y(o). Factor p(q).\nAnswer: -5*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/108 - 46*h**3\/9 + 275*h**2\/18 - 158*h + 1. What is s in y(s) = 0?\nAnswer: 1, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.79614 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1926*d. Let r(b) = b. Calculate k(r(h)).\nAnswer: 1926*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1353364 - -533?\nAnswer: 1354117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/9))\/f**34)**50 assuming f is positive.\nAnswer: f**(-14950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 24, 3\/2, -0.4, 5 in ascending order.\nAnswer: -0.4, -0.02, 3\/2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k - 2872 - 1601 - 1791 = 0 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2423\/42 - 489\/7. Find the common denominator of f and (64\/(-48)*(-54)\/(-50))\/2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798006.2 weeks in minutes?\nAnswer: 8043902496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 2, u: 1, l: 1, a: 1, v: 1, q: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 906?\nAnswer: -2718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*6\/(-26)*(-26)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {n: 4, q: 4, u: 5, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524360, 524688, 525016, 525344, 525672?\nAnswer: 526000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26782 and 93310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (21 - 15)\/((-678)\/(-338) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 10, -4, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 112, 106, 98, 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**3 + 11*w**2 - 11*w + 40. Let l(o) = 3*o**3 + 2*o**2 - 2*o + 8. Give -11*l(a) + 2*u(a).\nAnswer: -a**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4424)\/(-33180))\/((-16)\/42 + 2\/(-7)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvyvwvnvywvccvccw. What is prob of picking 1 n, 1 v, and 1 y?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20857796912235 - -0.4\nAnswer: -20857796912234.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/9385 and 71\/60.\nAnswer: 112620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138086 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10243 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 9, u: 1, x: 1, f: 1}. Give prob of picking 1 x and 2 s.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15654, -31311, -46970, -62631, -78294?\nAnswer: -93959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 189*f + 1672. Determine a(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 9. Suppose b = -2*a - 5, a + 2*b - i = -10. Let m(w) be the first derivative of -2*w**3 - w**2\/2 - w - 1. Determine m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -879, -5, 12 in decreasing order.\nAnswer: 12, -5, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 5*v + 5. Let w be g(5). Let k = -0.09 + 0.49. Which is the second biggest value? (a) -2\/3 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 6 (c) -3704 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 - 875*b**4 - 199547*b**3 - 3565321*b**2 - 18204552*b - 14837904 = 0 for b.\nAnswer: -428, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2352 and 91.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40 - ((-48 - -13) + 96)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/4 + 129*l**2 - 22188*l + 1272112 = 0.\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-21)*(-4)\/((-8)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -374 + 411 + -1 + -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -84\/37 (b) 1\/4 (c) -15\/8 (d) 1\/5 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:49 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 21*u**3\/5 + 1347*u**2\/5 + 20352*u\/5 + 576 = 0.\nAnswer: -40, -24, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123812 is divided by 6114.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*1*sqrt(1100)*-3 + -2 + 1 + sqrt(1100) + -3*sqrt(1100)*-1)**2 + 2.\nAnswer: -20*sqrt(11) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 12) to base 7\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0.3, -10, 3\/8, 0.025?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 566093 and 53830298.\nAnswer: 592133278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39496*z + 39492*z - 118488*z + 39498*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**3 - 12*z**3 - z**3 + z to the form a + y*z**2 + g*z + i*z**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45442, 63941, 82440, 100939?\n\"Answer: 18499*i + 26943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4068, -8136, -12204, -16272, -20340, -24408?\nAnswer: -28476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1409226 or 47\/7?\nAnswer: -1409226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422256 is divided by 430.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -7*m**5\/20 - 7*m**4\/12 + 5*m**3\/6 + 3*m**2 - 247*m. Let x(t) = 6*t**3 + 6*t**2 - 4*t - 5. Give 4*h(a) + 5*x(a).\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4 + 1342\/(-854).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16068 is divided by 518.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15774 = 1308*z - 830*z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Let v(d) = 2819*d**2 - 58. Calculate v(l(j)).\nAnswer: 11276*j**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -l - 12, 5 = 2*l + 2*c + 13. Which is bigger: 8 or l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5372)\/(-5) + (7 - (-96)\/(-15)). Suppose -4*o - r = -5*i, 645 = 3*i - 0*i + 3*o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and -13\/18783?\nAnswer: 37566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2*a - 3*a)*(-3*a + 3*a - 16*a)*(25 - 22 + 23) to the form w*a**2 + n*a + v and give w.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = 9*r - 312. Let s(w) = 33*w**2 - 41*w - 17. Is s(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l\/l**(-10\/7)*l*l))))\/((l**(-3)*l)\/l)*(l**(-32)*l)\/((l*l*l**(-1\/10)*l)\/l) assuming l is positive.\nAnswer: l**(-2333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165384?\nAnswer: 2, 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (84\/378 - (-64706)\/18) + -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440 divided by -10?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 5 + 18*u**3 + 5.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**4 + 35*g**2 + 7*g - 1665 wrt g.\nAnswer: 12*g**3 + 70*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -687*c**2*l**3*m + 4*c**2*l**3 + 5*c**2*l**2 + 5*c**2*l + l**2*m - 61*l*m wrt l.\nAnswer: -4122*c**2*m + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.85. Let b = -1.000019 - f. Round b to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 9. Let a be 2*21\/(-6)*1. Let j be o(a). Suppose 3*x - 5*t = -23, 4*t + 0 = 16. Is j greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 83*n + 3538. Let r be s(35). What is the highest common factor of 155 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4))\/sqrt(2) + (-2*sqrt(76))**2.\nAnswer: sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence basd when four letters picked without replacement from ddsbdasaadr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 equal to 8046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276208\/9 + -30776. Suppose -430 = 3*m + 2*m. Let d = p - m. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -11) + 5\/(-1). Let v = x - -5. Let q(a) = -5*a**2 + 2*a**v + 4*a**2. Let t(k) = k. Give t(q(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 12*b**2 - 37*b + 8. Let u be l(6). Let g be (4\/(-6))\/(22\/(-99)). Solve -4 = -g*q + u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 51. Suppose -a = -5*q - 12. Suppose 3*x = -q*d + 532, -266 = d - 3*d - 5*x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.086, 1\/3, -5, 0.3 in descending order.\nAnswer: 1\/3, 0.3, 0.086, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3278823 or -1?\nAnswer: -3278823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -42. Let x(o) = j - 4*o - 53. Let d(m) be the third derivative of -m**4\/24 + 2*m**2. Calculate d(x(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33*l**2 + 4*l + 2. Let v(p) = 7*p**2 - p - 1. Let x(d) = s(d) + 4*v(d). Let u(y) = 7*y. Determine x(u(z)).\nAnswer: -245*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = -2*c + c, -3*c + 2*x = 12. Let w = 2 - c. Let z = 3 + -1. What is the lowest common multiple of w and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 + 5*j**2 - 3*j**2 + j**2 + j**2 + (3*j + 0*j - j)*(0*j + 0*j + j) + 6*j**2 - 7 - 4 + 24*j - 22*j.\nAnswer: 12*j**2 + 2*j - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a3b06b9 + 1?\nAnswer: 7a3b06ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 21 = 3*p, -3*p - 5 = 5*b + 1. Suppose -247 = p*v + 263. Round v to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 39 = 5*m + 5*n, n - 2 = 0. Solve 4*z + 2*t + m = -2*t, 3*z - 2*t = -14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*j + 104 - 12. What is the smallest value in 13.2, -1\/5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*z**2 + 9 + 3*z - 2*z - 773*z**2 + 381*z**2 - 42*z**3 to the form g*z**2 + j + y*z + i*z**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-10) - 33\/55*5. Which is the third biggest value? (a) 9\/7 (b) -5\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11 - 5*l**2 + 1 + 48 + 44*l + 25*l**2 - l**3. What is the smallest common multiple of h(22) and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (14 + -4) - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-873)\/69 - -13)\/(-288 + 296)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 4 - 2009*x**3.\nAnswer: -2009*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjj when three letters picked without replacement from jjkj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h - 115 = 0. Let w = h - -15. Let n = w + 12. Calculate the highest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 20. What is o(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**9*m))\/m**(-3\/7))**(-9))**(2\/15))**(2\/15) assuming m is positive.\nAnswer: m**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -44. Let y be -3*(-4)\/(-12) + r. Let c = 1094 + -1078. Calculate the highest common divisor of c and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001010111101001001 (base 2) to base 7.\nAnswer: -110041350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04077*-0.1.\nAnswer: 0.004077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 2) + -9 + 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -50806?\nAnswer: -50807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3938 = -57*y + 307*y - 6062 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010 + -4030?\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*v + 30 = -16, -2*v = -j + 16. What is the greatest common factor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26351 + 76100. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**31*f**(2\/13) assuming f is positive.\nAnswer: f**(405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -8 + (4 - (6 - 10)). Put -1, 5, h, -6 in decreasing order.\nAnswer: 5, h, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 50 = 4*j, 2*j - 10 = j - 2*q. Suppose 0 = -6*i + j*i - 32. Which is the nearest to 2? (a) 2 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -56598 and -25542 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 + z - 1\/6*z**3 + 19000\/3*z**4 - 5\/2*z**2. Let v be j(-5). What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:43 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 39. What is the derivative of 2*z - 3*z + q - 4*z wrt z?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/14 and ((-22)\/32)\/((-15)\/(-65)).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(204\/187))\/((-425)\/75).\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58677, 234696, 528059, 938766, 1466817, 2112212, 2874951?\nAnswer: 3755034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246\/385 + 3\/77. Which is smaller: b or 24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111078408 and 190638.\nAnswer: 333235224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 - 5*n**4 - 7*n**4 - 2*n - 6*n**3 - 1 + 4*n**4 + 0*n**4 to the form x + d*n + l*n**4 + b*n**3 + c*n**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 17*o + 29. What is the lowest common multiple of 2534 and i(11)?\nAnswer: 15204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121196 - 977741 = -56*f + 335775. List the prime factors of f.\nAnswer: 7, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.4. Let l = 214.06 - 214. Sort i, -0.1, l, -2 in decreasing order.\nAnswer: i, l, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/13 + 38528*x**2\/13 - 16215208*x\/13 + 1725226912\/13.\nAnswer: -2*(x - 18836)*(x - 214)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 12*u**2 + 15*u - 53. Give c(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633 = 280*x - 2727 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:43 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 352.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -620348*c - 54280 wrt c?\nAnswer: -620348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2 - 2. Let f = -121.7 + 99.7. Put f, c, 5 in ascending order.\nAnswer: f, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.28 - -1.28. Let m = 237 - 377. Let g = m - u. What is the second biggest value in -23\/4, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*p**4 - 182611*p**3 + 191541*p**2 - 58*p?\nAnswer: -1440*p - 1095666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4999 - 14998\/3. Which is smaller: d or -0.456?\nAnswer: -0.456","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 - -94. Let u(o) = -4*o**3 + 5*o**2 + 2*o - 4. Let m be u(4). Let g = a - m. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820 + 917 - 86*p**2 - 1736.\nAnswer: -86*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26034.9 + 26035. What is the smallest value in y, 33.6, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 156 = 6*m. Let n = m + -26. Solve n = u - 2 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/30 + i**2. Let y(o) be the third derivative of o**5\/15 - 2*o**2. What is y(b(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 14*z + 86. Let r be p(-18). Is (-635580)\/(-210) - (-6)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -14 = -5*a + 26. Suppose j*i + a = 4*i. Solve -i*l - w - 25 = l, 2*l - 12 = 4*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*n + 1972 = 8714, 3*n - 3 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d. Let a(k) = 5*k**2 + 6*k + 6. Let i(t) = -4*t**2 - 5*t - 5. Let u(x) = 5*a(x) + 6*i(x). What is u(z(h))?\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 5, a: 3}. What is prob of sequence ara?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.9*0.2.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 - 11*o**2 + 6*o - 11. Let m be -3*20\/12 - -3. Let i(k) = -k**3 + 2*k**2 - k + 2. Give m*h(j) - 11*i(j).\nAnswer: 3*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -16*t + 16. Let a(b) = -b + 10. Let g be a(7). Suppose -g*o - 29 = -8*o - u, -4*u = o - 21. Solve t*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 103.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 6*l**2 - l - 5. Let p be v(-6). Find the common denominator of 182\/(-3)*p\/4 and 7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-45)*(-2)\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q - 5. Suppose -3*p - 3*u - 9 = -6*p, 5*u - 1 = -3*p. Let a be x(p). What are the prime factors of 243 - a - (4 + -4 + -4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 7. Let s be c(0). Let u be -1 + (s\/1 - 1). Put u, 2\/9, -2 in ascending order.\nAnswer: -2, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*p - 1, -4*t - 2*p = 19990. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 8*p + 6. Let u be d(6). Let j = u - -11. Suppose j*o - 253 = 92. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 5178.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 142. Let d = 68.99999992 - f. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -15*h**2\/2 - 5*h - 514. Let o be ((-1)\/(-2))\/(3\/(-6)). Let r be v(o). Solve r = -5*s + 3*a, 0 = -2*s - 2*s - 3*a + 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 44. Let s(y) = -y**3 - 8*y - 47. Let p be s(-3). Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259377449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 28*l = 32*l - 108, 4*q + l = 49. Solve -5*a + 66 = 3*y + 103, -a + 4*y + q = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192434143 rounded to 3 decimal places?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 5565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.227 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -5, 7.\nAnswer: -229, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 10*w + 24. Give x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 8746221 - 12*u**2 - 8746199 + u**2 - 7*u**3 as q*u + v + i*u**2 + o*u**3 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*i + 6 = 0, -4*k - k + 6 = -2*i. Suppose 4*m + 4*c = -220, -10*m + 7*m - 5*c - 155 = k. Which is smaller: m or -58?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/5)\/(12\/(-30)). Suppose -w*g - 746 = -258. Calculate the common denominator of -71\/16 and g\/(-9)*3\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 45*k**6 + 301*k**3\/3 - 5*k**2\/2 + 2461. What is the third derivative of o(b) wrt b?\nAnswer: 16200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)*i*(i\/(i\/i**(-1\/17)))\/i)\/(i**(-1\/12))**(-4) assuming i is positive.\nAnswer: i**(-479\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 7, f: 3, g: 3}. Give prob of sequence nw.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 - 14887*p**2 - 30*p + 576.\nAnswer: -36*p**2 - 29774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5588284 to the power of 1\/2, to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21*i. Let m(w) = -21*w**2. Calculate x(m(v)).\nAnswer: -441*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -54*d + 1. Let b(s) = -325*s + 85. Let n(a) = -b(a) + 6*g(a). Let c(m) = -14*m**2. Calculate c(n(i)).\nAnswer: -14*i**2 + 2212*i - 87374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 + 2216*o + 8745. Let w be j(-4). Let v(n) = -1 + 7 + n**2 + 9*n - 2. What is v(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1999*q + 186001. Give k(-93).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5713\/5005 + 1\/715. Let -y - 8\/7*j - 2\/7*j**2 = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 19, b: 1}. Give prob of picking 2 k.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 8. Let l = -7 + 10. Suppose 45 = -4*m + k, k = -4*m + l*m - 10. Let h(y) = y**3 + 12*y**2 + 13*y + 16. Let s be h(m). What is u(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 25*u - 2*u**2 - 1\/3*u**3 + 1\/20*u**5 + 1 + 1\/2*u**4. Give j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*d + 54, s + 0*s + 2*d = 64. Suppose -q = 3*q - 4*p - 36, -2*p = 4*q - s. Solve -2*k = 5*n - 13, -3*n + 0 = -4*k - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5962 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -72 - 8. Let b be (0 + (-1 - 2))\/(12\/o). Suppose -2*i + b = g - 0, 0 = -3*g. What is the remainder when 7 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 202*y + 6. Let s be p(33). Let t be ((-2)\/(-6))\/(2\/(-1086)). Let r = s - t. Calculate the remainder when r is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2665 + 2664.99999185. What is h rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25840558 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2554.6 - 2555. Let k(s) = s**2 - 8*s + 7. Let m be k(6). Which is the biggest value? (a) m (b) -6\/7 (c) -0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*w - 707*w - 875 = 0. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b6b74 - 173?\nAnswer: -b6ce7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 27. Suppose 72*f + 219 = -141. Let h = b + f. Let d(t) = -t**2 + 3*t + 2. What is d(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 745580 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 12 = 10*p. Solve -4*u - 27 = -p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(833))**2 + 1 + sqrt(833) - (sqrt(833)*-2*-6)**2) + (5 + sqrt(833) + -2 + -1)*1 + -2.\nAnswer: -119117 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 19*u + 41. Give h(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70113.48 kilometers in nanometers?\nAnswer: 70113480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:24 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 330?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 42 = -w + 34, h = -2*w + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016267 and 29.\nAnswer: -0.471743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79212 is divided by 358.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + a - 3*a + (-3 + 3 + 2)*(-6*a + 2*a + 2*a) - 197*a - 200*a + 1 + 347*a.\nAnswer: -53*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72573 is divided by 12067?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153909702 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -47*p**2\/2 + 4*p - 1191. Let o(n) = -2*n. Determine g(o(z)).\nAnswer: 94*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 9*u**2 + 3*u. Let t be n(-8). Suppose 0 = 7*h - 3*h - t. Calculate the highest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -0.9.\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b + 18*b - 9*b = 2062678. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 34. What is the second smallest value in 0, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - n**4 + 124*n + 4 - n**2 - 134*n to the form c*n**3 + i*n + g*n**4 + a + p*n**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 4*t - 24, -4*t - 16 = 0. Suppose -373 - 313 = 2*d + 4*x, -2*d + b*x - 654 = 0. Let w = d + 666. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 6*l - 19 - 10*l + 5*l in the form o + r*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + 4 + 41. Suppose -5*n + 398 = m - 72, 4*n - 376 = -m. Let u be n\/10 - (-2)\/(-5). Calculate the highest common divisor of g and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20078 - 20031. What is the lowest common multiple of a and 343?\nAnswer: 16121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 3.06. Let n = -2 + 1.7. Let s = -5 + 1. Which is the closest to -0.1? (a) m (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -488 - -518. What is the remainder when 77 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588129972.\nAnswer: 2, 3, 49010831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)*v)\/v*v**(-5))\/((v\/(v\/(v\/((v*v\/(v**(1\/2)\/v))\/v))))\/(v*v**(-2\/35))) assuming v is positive.\nAnswer: v**(-739\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/17627913 and -26\/21545227.\nAnswer: 193907043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -15 + -1 + -1 + 15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 562 + -531. What is the remainder when 169 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95590255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4326 (b) -4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 0 + 2*d**3 + 2*d**2 + 3*d**4 + 34 + 3*d to a + s*d**3 + l*d**4 + c*d**2 + i*d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 951072091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -255.975033+-0.162174\nAnswer: -256.137207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 0.2. Let m = 53.367 - 53. Let t = m + -0.067. What is the closest to -19 in v, 3, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691049 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d4236 (base 14) in base 10?\nAnswer: -1586472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(1377)).\nAnswer: -27*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386812, -386819, -386826, -386833, -386840, -386847?\nAnswer: -386854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1742, 7042, 15884, 28274, 44218, 63722, 86792?\n\"Answer: o**3 + 1765*o**2 - 2*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*4 - (12 + -9). Suppose x*j - 31*j + 420 = 0. What is the greatest common divisor of 45 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 49*k**3 - 63*k**2 + 63*k. Let d(a) = 3*a**3 - 4*a**2 + 4*a. Determine -63*d(y) + 4*r(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -141182*t**3 + 10626 wrt t?\nAnswer: -423546*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 at most as big as 22188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (-2 - (-9 - (-16 + 10) - -11)) + 5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*p + 16\/3*p**2 - 4 = 0 for p.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000221211 + 0?\nAnswer: -111000221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 51, 138, 261, 420?\n\"Answer: 18*s**2 - 3*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - sqrt(1331)*-4)))*2)**2 - (sqrt(1331) - (sqrt(1331) + 5*(-5 + sqrt(1331)))))*-3*-1.\nAnswer: -2395350 - 990*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0148 * -160.29\nAnswer: -2.372292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:20 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51402276 by -972.\nAnswer: -52883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 323132024?\nAnswer: 323132023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 5*m + 252 = 0. Suppose 17*n + 832 = m*n. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1281087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 14*l + 17. Calculate f(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -74340.\nAnswer: -14868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*(-6)\/((-31)\/(8959\/170)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 78. Let h be f(8). Let j = 107 + h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**7\/840 - y**6\/40 - y**5\/8 + 73*y**4\/6 + 134*y. Let q(g) be the third derivative of w(g). Factor q(h).\nAnswer: -3*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14726372*p*y**3 + 113*p + 2*y**3 + 6*y**2 + 50 wrt y?\nAnswer: 88358232*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304*c**3*z**2 + 2*c**3 + 9*c**2*z**2 + 5*c**2*z + c*z**2 + 9*z**2 - 37339*z wrt z.\nAnswer: -608*c**3 + 18*c**2 + 2*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 56 = c. Suppose 2*z - 52 = 5*y, -2*y - z - 32 + 4 = 0. Let u = c + y. Solve -u*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 - 7 = 0. Suppose -2 = h*v - 6. Suppose c + 4*p + 14 = 2*c, -4*c + 2*p + 14 = 0. Solve c*f + v = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 10*n + 82*n**2 + 9*n + 148364*n**3 - 148362*n**3 as i*n**2 + y*n**3 + x + g*n and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((6*-2*sqrt(153) - sqrt(153)) + -5)*1)**2*1.\nAnswer: 390*sqrt(17) + 25882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1)*(-12)\/(-9). Let s be (2 - 1) + 108 + d. Suppose -s - 460 = -5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 32714 (c) 2\/17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -1\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + 0*r**2)*(-4*r - 11 + 5 + 7)*(-128 - 56 + 26).\nAnswer: 632*r**3 - 158*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*t**2 - t + t**5 + t**6 - 11*t**5 - t**5 wrt t?\nAnswer: 120*t**3 - 660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00631857 and -3.647.\nAnswer: -3.64068143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 at most -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 - -1.77. Let n = 3 + -3. Which is the closest to -0.1? (a) 0.4 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r = -39*r + 53*r - 177. Let t(h) be the second derivative of -13*h + 3\/20*h**4 - 6\/5*h**2 + 0 - 1\/2*h**r + 1\/50*h**6 + 3\/20*h**5. Factor t(q).\nAnswer: 3*(q - 1)*(q + 1)**2*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41312 + -41283. Solve -m + 4*z = 14 - y, 5*m - z = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0 - 3*f + 27\/2*f**2 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 8, 6 = -x + 4*p. Let l(a) = a**x + a**2 - a**2. Let u(q) be the second derivative of q**4\/12 + q. Determine l(u(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from hjqar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*g*v**2 - 430*b*g*v - 334*b*g - 183882*b + 58906*v**2 wrt v.\nAnswer: 2*b*g*v - 430*b*g + 117812*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40818509?\nAnswer: 373, 109433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -38.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*s**2 - 726*s**2 - 561*s**2 - 377*s**2.\nAnswer: -705*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.995 and 59.5.\nAnswer: 118.7025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/(-473))\/(171\/1672) - 115\/(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1561982*j**4 - 30*j**2 + 250*j - 1.\nAnswer: 37487568*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/21, 2\/7, 0.4, -0.6, -0.0359, 2?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 27*w + 103. What is j(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7468084 (base 10) in base 12?\nAnswer: 2601984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -80. Is p greater than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owhawowwgwwwqqggw. What is prob of picking 1 a, 1 q, and 1 h?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*x + 16019 - 16598 + 37*x + (-3*x - 5*x + 6*x)*(-4 + 4 + 1) in the form s + t*x and give s.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 145 = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -f + 474. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -57 - 107. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 27) + (9 - (11 - 9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.1 (c) -29.73 (d) -165 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484646 is divided by 242316?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6603876 divided by 244588.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1236, -4, -14, 3 in ascending order.\nAnswer: -14, -4, 3, 1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 16*u**2 - 36*u - 11. What is k(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -75.7, -0.3, -0.1, -15.173 in ascending order.\nAnswer: -75.7, -15.173, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123.25 - 6.55. What is l rounded to 0 decimal places?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 11580\/132 + (-700)\/(-550)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/7 - (2418\/(-42) - -11). What is the greatest common factor of 782 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lldl when four letters picked without replacement from {n: 10, d: 1, l: 9}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*2*sqrt(363))**2 - (-5 + sqrt(363)*-5 + 5).\nAnswer: -145200 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100220 - 11?\nAnswer: 10100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 1. Suppose 3*t - 21 = -5*w, -2*t + 4*w + 13 = 7*w. Let p(o) = 2*o**2 - 2*o - 14. Let x(l) = t*z(l) - p(l). Factor x(b).\nAnswer: -4*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 + -6 - 1) + 17 + (7 - -22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -153?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*a**2 - 143*a**2 + 75*a**2 + 15*a**4 - 103*a - 42*a wrt a.\nAnswer: 180*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15266*s**2 - 7*s - 25*s - 15238*s**2 as l + b*s + j*s**2 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 53*q**2 - 355 + 1091 - 736.\nAnswer: -53*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*4325\/(-692)*(-2)\/(-15).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -20. Solve 2*g = o + u, 2 = -5*o + 3*g - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.469 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:11 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3\/((-9)\/(-6))). Let m = 79158 + -950497\/12. Let f = m + 50. Which is the second smallest value? (a) f (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -50. What is the nearest to 5 in o, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/2 + -1 + 3. Let b = 5 + k. Find the common denominator of ((-237)\/(-4))\/(6 + b) and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*((1 + 1 + 1)*(15*t**2 + 8*t**2 - 27 + 30) + 0 + t**2 + 0 + (0 - 2*t**2 + 0)*(0 - 2 + 3)).\nAnswer: -68*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-3\/8)*(f\/(f**2\/f))\/f*f**1 assuming f is positive.\nAnswer: f**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3)*(-30)\/4. Let x(z) = -z**5 - z**4 - z**2 - z. Let i(l) = -8*l**5 + 3*l**4 - 7*l**3 - 3*l**2 - 5*l. Let p(u) = q*x(u) + i(u). Factor p(t).\nAnswer: -t**2*(t - 1)**2*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15360258503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/6)\/2*((-528)\/(-420))\/22*-14.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 256 + 221 = -5*y, -2*q + 2*y - 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 - 4) + 6 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = 0, -2*t + 345 = -4*y + 8633. Calculate the highest common divisor of 425 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -35, -70, -129, -218?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:34 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 5*l + 5 + 0*l - 3*l. Let c be a(0). Solve c*n + 14 = -q, 2*q - 6 = n - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 6155877.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 484373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -689.3 - -690. Sort 2, -0.02, 0.2, i in descending order.\nAnswer: 2, i, 0.2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q - 5*q - 4 - 3 - q**2 - 3*q. Let j be r(-7). Let m = 228\/545 + -2\/109. Is j at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igqghiqqipli. Give prob of picking 1 l and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:18 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 604222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2394*p + 6087. Let v(z) = 1196*z - 3065. Let s(n) = -4*i(n) - 9*v(n). Find the first derivative of s(f) wrt f.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 15. Suppose -92 = 2*k + d*z - 229, 206 = 3*k + 4*z. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 147 (b) 0 (c) -2\/13 (d) 304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-672)\/(-80))\/7)\/(684\/(-90)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 493, 986, 1481, 1978, 2477, 2978, 3481?\n\"Answer: r**2 + 490*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97801949 is divided by 904?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l - 2*l)*(261 + 79 - 48 + 489) to the form s + z*l and give z.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + (-6 - (-2 + 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/31))\/g**(-1\/19)*(g**(2\/19)\/g)\/g**(1\/3) assuming g is positive.\nAnswer: g**(1343\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880188 and 13349518?\nAnswer: 80097108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*1*-4)**2 + -1.\nAnswer: 17599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05943 - 1.25943. Sort -4, t, 0.049 in increasing order.\nAnswer: -4, t, 0.049","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/138*3\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/189 + (-148)\/(-18). Suppose -a*h + 1305 = -3*h. Suppose 3*v - 3*u = 369 + h, 4*u - 1059 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 40, 95, 172, 271, 392?\n\"Answer: 11*g**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 - j**3)*(6*j**2 + 0*j**2 + 0*j**2) + 6*j**4 - j**4 + j**4 - 2*j**5 - 104*j**3 + 87*j**5 + 104*j**3.\nAnswer: 79*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 159.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbkosi. What is prob of sequence bs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. Let j be (i + 6)*((-1)\/3 + 2). Find the second derivative of 2*k + 14*k - k**3 - 15*k**3 - j*k wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281551553\/149355 + 87\/16595. Let c = -1889 - n. Calculate the common denominator of c and 83\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + 3*k**2 - 4*k + 1. Let t be q(-4). Let m(i) = -3*i**2 - i. Let p be m(-7). Let h = p + t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/10))\/y*y*y)\/(y**(-3\/4)\/y))\/((y**(-5)\/y*y)\/y**15) assuming y is positive.\nAnswer: y**(477\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 451*r - 450*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 941752123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:18 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 6. Let l be g(0). Let s be (19\/(-3))\/((-13)\/(-78)). Let w be ((-6)\/(-4))\/((-19)\/s). Solve -w*o - a - 2*a = 6, 3*a - l = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17))**20 assuming f is positive.\nAnswer: f**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -42*h**2 + 5*h. Let d(b) = 21*b**2 - 3*b. Let y be (72\/80*-2)\/((-6)\/20). Determine y*x(c) + 10*d(c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 = 11045\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4243 + 5173. Calculate the lowest common multiple of 186 and c.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u - 0*u. Suppose u = -m - 2, 0 = -3*x + 4*x - m - 1. Which is smaller: x or -7\/12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167083 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {k: 10, b: 3, f: 1, h: 3, v: 2}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128660438617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18886 and 4256.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1511*a - 576*a + 1249 - 87721 - 24139 = 0 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -217*u + 53. Is 13 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8175 - 9154 = -89*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -u - 1 - 13, -3*r = -5*u + 22. Let j(i) = 5*i + 11. Let b(p) = 6*p + 10. Determine r*b(l) + 5*j(l).\nAnswer: l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1151 + -2324?\nAnswer: -3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1512939, 3025897, 4538873, 6051867, 7564879?\nAnswer: 9077909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 + 6.6. Let x = 8.9 - 9. What is the closest to -1 in x, -3, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2)*18\/(-756)*-231.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, f: 2, e: 2}. What is prob of picking 2 f and 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2. Let v be m(0). Let a(b) = b**2 - 16*b - 17. Let k be a(17). Suppose k = 2*l - 1 - 13. Solve -v*u = -s + 13, 3*s = l*s - u - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/(-12))\/((-2)\/(-3)). Let j(q) = -q**3 - 6*q**2 + 6*q - 6. Let l be j(g). Which is the nearest to 1? (a) l (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(136) + sqrt(136) + (sqrt(136) + 2*sqrt(136))*3)\/(sqrt(2592)*2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -323, -661, -1011, -1379, -1771, -2193?\n\"Answer: -y**3 - 331*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4043774.6 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29042232.67 to the nearest ten thousand.\nAnswer: -29040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -159. Find the second derivative of -2*j**3 - u*j**4 + 136*j**4 + 2*j**3 + 6*j wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60788989*l*n**3 + 3*l*n**2 + 3*l*n - l - 5*n**3 + 193*n**2 + 7*n - 1494 wrt n?\nAnswer: -364733934*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 - 328 = 8*p - 330 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 + 3*z**2 + (-5*z + 4*z + 4*z)*(-3*z + 0*z - z))*(9*z**3 + 13*z - 13*z).\nAnswer: -81*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 69402.221 days?\nAnswer: 9914.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*c**3*l**4 + 21*c**3 - 2*c**2*l**4 - 3*c wrt l.\nAnswer: 56*c**3*l**3 - 8*c**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 613*t + 9814. What is a(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 6*s - 14. Let n(r) = -r**2 + 2*r - 5. Suppose 3*y - m + 63 = 18, 0 = 5*y + m + 91. Give y*n(f) + 6*h(f).\nAnswer: -f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*q - 10*q. Suppose -3*t + 91 = -q*n, -4*t + 2*t + 76 = 5*n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)\/d*d**(-7)*d*d*(d**2*d)**(-10)*((d**(-4)*d)\/(d**(-1\/7)*d))\/(d**5\/d**(2\/11)) assuming d is positive.\nAnswer: d**(-10243\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 18. Suppose -2*f - 16 = 2*f. Sort f, -3, 0.2, n in descending order.\nAnswer: 0.2, -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2236971mm?\nAnswer: 223.6971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 628.823022 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -65.9. Let j = -40.8 + f. What is the closest to j in 3\/7, 5, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3334234232 - -2?\nAnswer: 3334234234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*6\/3 - -116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9846427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 7 - (22 + -25 - 12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-35))\/(((-42)\/20)\/(-7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 + 3*k + 2. Suppose 0*m = m. Suppose m = 3*w - 4*w - 2*h - 9, -6 = 2*w + h. Let c = 3 - w. Give g(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -8491669?\nAnswer: -8491669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 51901*z + 570904. Calculate c(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m**3 + 1333*m**2 - 617*m + 104. Give w(-103).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(1\/24)*v))))\/((v**1\/v)\/v)*(v\/((v\/v**(4\/13))\/v))\/v**(-2\/25))**24 assuming v is positive.\nAnswer: v**(18299\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 1. Let r(h) = 28*h**2 + 137. Let a(v) = -5*o(v) + r(v). Differentiate a(i) wrt i.\nAnswer: 86*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -55*i - 269. Let b be o(-5). Solve 4*r - 5*l + b = 0, 0 = -3*r - 124*l + 127*l - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20001 (base 3) to base 13.\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/120 + 9*o**5\/40 - o**4\/48 - 3*o**3\/4 + o + 456. Let i(t) = 0. Calculate t.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*f**3*j - b*f**3 - b*f**2*g - b*f*g*j - 2*b*j + 23*b - 4*f**3*g - 18*f**3*j + 15*f**2 wrt f?\nAnswer: 24*b*j - 6*b - 24*g - 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 6 + 5*12\/(-30). Suppose 0 = n*m + 3*r - 294, m - 3 = 2*r + 101. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 1, w: 1, a: 1, z: 2, o: 1}. What is prob of sequence owa?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4599, 4589, 4565, 4521, 4451, 4349, 4209, 4025?\nAnswer: 3791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -103*m**4\/6 - 164*m. Let o(z) = -2*z. Give o(s(y)).\nAnswer: 412*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:19 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 1 + 6. Suppose 5*w + 0*w + 25 = 0. Let a = w + m. Is a > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -499.1 - -499.0999979801. Round t to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 75 + 47 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89534 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 29?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 165cab - -4?\nAnswer: 165cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 266, 423, 600, 803, 1038, 1311?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4 + 5*a**3 - 6 + 0*a**3 - 4*a**3. Let m = 0 + -5. Let t(v) = 2*v**3 - 4. Let y(g) = m*q(g) + 3*t(g). Differentiate y(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 849812 - 849814. Suppose 0 = 5*g + 9 + 6. Let y = 3\/2 + g. Sort -4, l, y, -1 in descending order.\nAnswer: -1, y, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 5650 - 5552 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7976600.7 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2226*w - 4*k = -2227*w + 43, -5*k + 21 = 76 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Let q = 6.4 - -0.6. Let p = x - q. Sort 0, 3, p in descending order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2765 + -2767. Sort -0.11, s, 0, 2, -4 in increasing order.\nAnswer: -4, s, -0.11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -100 less than 4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let n(t) = -t + 1. Let x(c) = -5*c + 5. Suppose 5*i + 1 = 4*i. Give i*x(y) + r*n(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = -b. Suppose -2*s + 4*m = 3*s, -b*s + 3*m - 3 = 0. Suppose 0 = 3*i - s*i + 24. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in -1\/3, -10.7, 0.1, -5, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 2*k**2 - 165 + 0*k - 3*k**2 - 4*k + 144 to the form b*k + o + g*k**2 and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.1 + -6.9. Let g = m + 61.2. Let r = g + -3. What is r rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxssxxsxxxpxxxp. What is prob of picking 2 p and 2 s?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-81 - 126)*(-2 - (2 - 3)) and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 2 k when four letters picked without replacement from okosvkkvkvsvkvovkkk?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 5*n**4\/24 + 5*n**3\/2 - 17*n. Suppose c(s) = 0. What is s?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589013*v**2 + 80103517*v.\nAnswer: -1178026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 2. Let d(i) = -6*i - 5. Calculate 3*d(x) + 7*u(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 85*c + 386. What is the units digit of o(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-8 + (-2346)\/(-297)) + -1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*v + 1112 + 52 = 0. Let c(i) = -i**3 + i**2 + i. Let n(a) = -6*a**3 - 5*a**2 - 6*a + 1. Give v*c(m) - n(m).\nAnswer: 12*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 19*p - 51. Determine v(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55151 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483198 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 435 + l**2 - 130*l**3 - 90*l**3 - 484*l**3 - l**2 wrt l?\nAnswer: -2112*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*h = 2*w - 9, 4*h = 5*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352*o**3*t**2 + 3*o**3 - 7*o**2*t**2 + 2*o**2 + 34*o wrt o?\nAnswer: -2112*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 15*p + 3. Let w be y(7). Let x = w + 41. Let n(g) = -10 + 10*g**x - 3*g**2 - 2*g**2 - g**2. Let i(k) = -2*k. Calculate n(i(l)).\nAnswer: 16*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 4*j**2 - 6*j + 6. Let q be b(5). Solve -2*l - q = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922 a factor of 158995366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/45 and 49\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1504\/21 - -7534\/105. Which is the third biggest value? (a) 0.1 (b) -1 (c) 134 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927 greater than 74634\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (-4*(sqrt(104) + sqrt(104)*-3) + sqrt(104) - sqrt(104)))*2)\/(sqrt(128)*-2 - sqrt(72)\/sqrt(81)).\nAnswer: 42*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d - 28. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2 + 103*w + 51. Let d be l(21). Solve -3*q + d = -m, -2*m + 2 - 5 = -q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 5*l + 4. Let b be d(6). Suppose -q + 3*o + 69 = -0*q, 3*q - b = 2*o. Suppose 2*m - 2*n - 126 = 0, m + 4*n = 8*n + q. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbh when four letters picked without replacement from bbbhbbhbbbbb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382638362 to the power of 1\/3, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -2\/13 (c) -0.11057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -950.481 + 950. Let u = -0.081 - g. Which is the closest to -3? (a) -1\/3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3 + 5*x**2\/2 - 2*x - 2. Suppose -3*s + 5*f + 12 = s, -4*s = 3*f - 12. Is 20 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9163444 + -0.028839532\nAnswer: -9163444.028839532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5 + (-510)\/(-25))\/(-1). Let f(c) = -3*c + 16. List the prime factors of f(o).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-9)*2 + (-5999)\/(-63). Let d = y + -286\/3. Do d and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1517096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 0, 0*k - 4*k = 2*u - 0*k + 12 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*f**3*k - 2*f**3*q - f**2*q + 123*f**2 + 2*f*k - 13*k*q wrt q?\nAnswer: -2*f**3 - f**2 - 13*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/7 - 3588*m**2\/7 + 343269*m\/7 - 400140 = 0. Calculate m.\nAnswer: 9, 95, 1092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 - 11 = -5*q, 0 = -4*q - 4*s + 20. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 11. What is h(-14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9*r = -33. Suppose -2*a + r*a = 293. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25161 + -17043. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8739?\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9*y = -7440. Suppose 0 = -8*p + 6*p - y. What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11179)\/(-91) + (-6)\/(-39). Let f = 1 + l. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44096 is divided by 4361?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 2. Let m(h) = -21*h + 11. Let v = -305 + 303. Let k(z) = -11*z. Let f be k(-1). Determine f*x(l) + v*m(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -351 or 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345\/8 + 3453\/80. Let d = 215099\/72 + -8960\/3. Find the common denominator of d and z.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, 0, 13, 30, 51?\n\"Answer: 2*n**2 + 3*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(5 + 3) - 54260. Let w = -38527 - r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2017034*k + 6360593.\nAnswer: 2017034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 + 727\/4. Sort c, 1\/18, -0.3, -5.\nAnswer: -5, c, -0.3, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + 6 + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.92665 - -3.007. Let x = p + -0.07. What is x rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2. Let l(g) be the first derivative of -2*g**2 - 5*g**2 - g**2 - 3 + 9*g**2. Determine j(l(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377232 is divided by 378?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5231861\/60 - 87200. What is the common denominator of r and 24\/11?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/150*t**5 + 0 + 0*t**3 + 13*t**2 + 0*t - 1\/30*t**4. Determine s so that g(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + j - 23, -2*r + 11*j - 15*j + 32 = 0. Does 13 divide 1298 + 7 - (-14 + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3997 - 2212. List the prime factors of q.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -103, -212, -323, -436?\n\"Answer: -c**2 - 106*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391?\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:08 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4626 + 5370. What is the second biggest value in -1\/3, v, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4 (c) -2\/7 (d) -1.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/24 + 3\/8. What is the nearest to u in 0.5, 0, 7, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 2*l + 0*l + (0 - 3 + 1)*(-3*l + 4*l + 4*l) + (2*l - 2*l + l)*(0 + 0 - 2).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12300 - 1303?\nAnswer: 10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - -60. Let y = r + 99. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2) + 1)\/(2\/(-54)). Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 18*l + 30. Calculate the smallest common multiple of -1*(-5 + 97)\/(-4) and t(-19).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/5)*h)\/h)\/(h*h**(-3\/2)*h)*(h\/(h\/(((h*h*(h*(h**(2\/7)\/h)\/h)\/h)\/h)\/h))*h)**(8\/11))**(-1\/9) assuming h is positive.\nAnswer: h**(169\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, 1 i, and 1 l when four letters picked without replacement from klylylyuliyy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 97*b. Let z(r) = -2*r**2. Determine h(z(j)).\nAnswer: -194*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6029077 and 364087.06.\nAnswer: 6393164.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 13. Let h be s(15). Solve 0 = k - 3*k + h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11301 (base 6) in base 7?\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 + 1728664*m - 186767451556 = 0. Calculate m.\nAnswer: 216083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2330 (base 4) to base 16\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000000100001000?\nAnswer: -1000000100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 852 = 26*o + 2*w, -2*o + 5*w + 859 = 0. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 214 = -4*h + h, -3*f - 292 = -4*h. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from ejetetueuee?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**4 + 12*c - 12*c + (2 - 1 - 2)*(-3*c**4 + 4*c**4 - 3*c**4).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 778*h + 3 + 338*h + 16 - 19 to the form w + l*h and give l.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022001122 (base 3) in base 15?\nAnswer: 1a108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 2394 + 5901. What are the prime factors of g?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318359135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**29*(o\/((o**(-1\/4)*o)\/o))\/(o\/(o*(o*o**4*o)\/o*o*o))*((o\/o**0)**5)**3 assuming o is positive.\nAnswer: o**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1152) - (1 + sqrt(2048)))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858\/27 + (-2)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3*c**2 - 17 + 84 - 12 + 10.\nAnswer: 3*c**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = 3*w - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267080.\nAnswer: 2, 5, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3100 by -3100.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 839 + -199. Let x be (i\/100)\/(4\/(-30)). Is (-25688)\/x - (-3)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3420 and -27\/52060.\nAnswer: 468540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -314\nAnswer: -3\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 56 - (6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37626 (base 8) to base 6\nAnswer: 203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*w, 5*w - 10*w = -2*k + 30. Solve -4*r + 5*p - 4 + k = 0, r = -4*p + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 811, 4, -27, -4 in descending order.\nAnswer: 811, 5, 4, 0, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-1 + 1\/(-1)). Suppose -3*s + 14 + 0 = -4*h, 0 = -s - 2*h - 2. Suppose 2*x + 2*b = 3*x - 9, 4*x - b - 8 = 0. Solve g = s*z + x + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4\/4 - 297*t**3\/4 - 1965*t**2\/4 - 3051*t\/4 - 345 = 0?\nAnswer: -92, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/5, 112, -3\/4, 69, 0.3.\nAnswer: -3\/4, -2\/13, 1\/5, 0.3, 69, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5 (b) -3 (c) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 85*t**2 + 2*t - 3. Let r be g(2). Let o = r - 4435\/13. Put 1, o, 0.3 in ascending order.\nAnswer: o, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -33. Calculate the remainder when w is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -777 - -808. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8997 + 35993 = 818*l for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -x - 14, -19*x - 5*m = -23*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*q - 299*q - 59850 = 0. What is the highest common divisor of q and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 59. Let c(m) = 13*m + 5. Let k(r) = -6*r - 2. What is p*c(q) - 5*k(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/120 + 11*q**5\/30 + 11*q**4\/8 + 3*q**2 - 13. Find the second derivative of h(a) wrt a.\nAnswer: 6*a + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 13*j + 5*g + 45, -36 = 4*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*v + 46*v - 71 - 8*v**2 + 7*v**2 in the form k*v + y + i*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5, 32 in decreasing order.\nAnswer: 32, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 + 111 = 5*h. Suppose 5 = -2*g + h. Let a = -48 + g. Sort a, -15, 0 in decreasing order.\nAnswer: a, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w + 20. Solve i - w = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/8731073?\nAnswer: -12\/8731073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4 - 2 + 15 - 3 + 1858*x. Let y(s) = 619*s + 2. Let v(a) = -6*b(a) + 17*y(a). Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l - 2. Let h be s(2). Suppose h = -4*n + 17 + 23. Differentiate -1 + 0 + n*y**4 - 11*y**4 with respect to y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -115\/1266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -28. Let y(w) be the first derivative of -10*w - g*w + 7 + 16*w + w**2. Let f(b) = 3*b. Calculate f(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7\/1)\/((55\/(-5))\/(-11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l**2 - 1529*l**2 - 1156*l**2 - 793*l**2 + 579*l**2 to f*l + j + g*l**2 and give g.\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-4)*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82095 = 3*s + 3*z, -3*s + 61138 = -3*z - 20933. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60580213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/(-8) + 1216560\/128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhllylhpdypypyhlly. What is prob of sequence yhy?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2 - -1)\/(2\/(-216)). Suppose -4*q = 3*s - h, 5*s + 3*q - 15 - 165 = 0. Find w, given that 1 - 3*w**4 - s*w + 6*w**2 + 49*w**3 - 40*w**3 + 23 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1943*g + 155*g**3 + 1014*g + 928*g.\nAnswer: 155*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**2 + 3*p + 2. Let g be t(-1). Let l be 38\/g + 24\/42. Suppose 2*b - l*b = -140. Calculate the highest common divisor of 315 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -480.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -1.818099?\nAnswer: 4.818099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-338 - 155 + 115 - 324)*(2 - 2 - 5*v) to the form x + o*v and give o.\nAnswer: 3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggnf when four letters picked without replacement from gffngffgfvg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrbbazarz. Give prob of sequence zar.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*p + 2228*c**3 + 1121*c**2*p + 2*c**2 + 158*c*p - 4*c + 16*p - 3083 wrt c.\nAnswer: -12*c*p + 13368*c + 2242*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (2812\/6 - 14\/(-42)). Let m = b - 1063. Is m at most -595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -4 (c) -0.3 (d) 275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -373*w**2 - 62*w + 9. Let n(p) = 1493*p**2 + 279*p - 35. What is 9*a(y) + 2*n(y)?\nAnswer: -371*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4780*t**3 - 9237*t**3 - 1 + 4796*t**3 + (0 + 0 + 2*t**2)*(0*t - 4*t + 2*t) + 0*t + t**3 + 0*t.\nAnswer: 336*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 + 4*c - 8. Let q be o(-6). Solve q*s + 2 = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (-7 + 3)\/28?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5655 and 3770?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 144?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2910572275 to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -628 < -623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6904\/(-17260))\/((-6)\/(-1215)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 29600, 17, -2 in decreasing order.\nAnswer: 29600, 17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149996584.\nAnswer: 2, 29, 646537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 53*d**2 - 5. Let l(m) = 5 + 80*m**2 - 39 + 14 + 12. What is 5*l(f) - 8*v(f)?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:21 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/15 + 5*k**4\/24 - 7*k**3\/6 + 10*k**2. Let t(g) be the first derivative of j(g). List the prime factors of t(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.392*20088.\nAnswer: 248930.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*i + 5, b + 7*i - 3*i - 5 = 0. Suppose -64 = 3*a - b*a. What is the highest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmr when three letters picked without replacement from {x: 6, d: 1, r: 1, m: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1323.79 at least as big as -1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dqdddddqd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(800)*6)\/(sqrt(10)*1*-1) - (((sqrt(20))**2*-5 - sqrt(5)) + -5 + 5).\nAnswer: 24*sqrt(5) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5237281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, -220, 0.3, 25, 1\/7, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 188*p - 386. Let r be l(48). Sort -2\/3, -0.2, r, 2\/9, 0.8 in decreasing order.\nAnswer: 0.8, 2\/9, -0.2, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1179\/5 + -242. Calculate the common denominator of ((-474)\/(-16))\/(0 - -3) and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 - 125. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -955\/11 - -87. Let s = -262 + 258. Put h, 1\/3, s in decreasing order.\nAnswer: 1\/3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d. Let x(j) = 6*j**2. Let n(u) = 40*u + 281. Let z be n(-7). Give z*x(s) + 5*o(s).\nAnswer: s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9508 and 0.187.\nAnswer: 1777.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 173*t**3 + 3*t - 2. Let h be w(1). Suppose 3*v - h = 4*q, 4*v + 4*q - 213 = 3*q. Let i(x) = -v + 27 + 27 - x. Let c(f) = -4*f**2. What is c(i(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263294 - 305440.\nAnswer: -42146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + 5 + -6. Let k = 10 + -12.5. Let p = k - -2. Which is the third smallest value? (a) p (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 25. Let n(s) = 5*s - 25. Let a(q) = 2*n(q) + 3*x(q). Let j be a(11). Put -5, 4, j, 5 in increasing order.\nAnswer: -5, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6320 - -113?\nAnswer: 6433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056.901 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4737*c**4*k**3 - 2*c*k**3 + 67*c + 4*k**3 - k**2 wrt c.\nAnswer: 56844*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3080, -1092, -5, -1.\nAnswer: -1092, -5, -1, 3080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b28 + -3a?\nAnswer: 4acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -27. Let v = b - -17. Suppose -13 = -2*h - n, n = 3*h - v - 6. Solve -4*d + 11 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -4\/7, 1\/2, -2\/59 in descending order.\nAnswer: 1\/2, 0.1, -2\/59, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/8*(2 + 1 + -1). Suppose 5*q - 4*k = 1444, 4*q + 5*k - 1188 = -0*q. Let m be 6\/(-10) - q\/(-20). Solve m = -5*r - 3*g, n = -4*r + 2*r - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.33 and 2?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mffw when four letters picked without replacement from {w: 2, j: 3, f: 5, m: 10}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + sqrt(7) + -1)**2 + sqrt(7)).\nAnswer: 46 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*z - 103 = 0, 3*z = 5*h - h - 109. Let w = -17 + h. Let g = w - -6. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 - 49*g + 197. What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72, 272, 610, 1092, 1724, 2512, 3462?\n\"Answer: v**3 + 63*v**2 + 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2. Let i(o) = 4*o + 232. Calculate i(q(t)).\nAnswer: -16*t**2 + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 3*q + 3*q**3 + 2*q - 4*q.\nAnswer: -q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*w + 4*j, -1 = -2*j + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1.2 (b) -3\/13 (c) -319 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -0.1035 (c) 4 (d) -5 (e) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 856622 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14733559151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, m: 5}. Give prob of picking 3 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13 and 186.735?\nAnswer: 186.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 + 5*u - 3. Let y be d(3). Let i(l) = -l - 4. Let p be i(y). Let n(r) = -3*r**2 + 5*r**p + r**2. Let k(m) = -m. Determine k(n(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4 - 3*m**2 - 10*m + m**3 + 14*m - 5*m. Suppose -4*b = 27 - 71. Suppose 2*s + b = -2*v + 3*v, 4*v + s = 8. Calculate k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-2 - -1))\/2. Is 4 a factor of n + 13 + 13 + -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3572 - 3569. Let p(x) = x**2 - 6*x + 12. Let a be p(8). Sort 0, a, m in ascending order.\nAnswer: 0, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 899153 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23380 or 1?\nAnswer: -1\/23380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 25*r**2 - 44*r + 39. Calculate j(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126, 321, 1030, 2511, 5022, 8821, 14166?\n\"Answer: 43*d**3 - d**2 - 103*d + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:27 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/(-27))\/(10\/(-4)))\/((-12)\/(-150))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2956, 0, 0.07, 1, -3, 3, 1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:22 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 760*t**4\/11 - 107158*t**3\/11 + 315878*t**2\/11 - 208928*t\/11 - 552\/11 = 0.\nAnswer: -1\/380, 1, 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -0.2, -1\/11, 242\/217, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*c - 129*c = -23289. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9275 and 2120.\nAnswer: 74200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -5, -2 in increasing order.\nAnswer: -6, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65\/2*n + 100 + 5\/2*n**2 = 0. What is n?\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 2*w - 2*u, 0 = -w - 11*u + 7*u + 115. What is the first derivative of -w - 10 - 169*d**3 - 116 wrt d?\nAnswer: -507*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -28*k - 1 - 5 + 30*k. Let a(z) = -6*z + 17. Determine 6*a(f) + 17*c(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 290?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -314*a**2 - 8*a - 128. Let p(y) = 63*y. What is p(j(b))?\nAnswer: -19782*b**2 - 504*b - 8064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22*s - 19. Let j(i) = -23*i + 20. Let c(b) = -3*j(b) - 2*w(b). Differentiate c(f) wrt f.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 30 = 16*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 35*k**3 + 4*k**2 + 8*k + 12. Let s be q(-2). Let n = s - -596. Suppose -808 = -10*w - n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036320 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3902077018.826 minus 1.1?\nAnswer: -3902077019.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3604943*c**4 + 4*c**2 + 19021743.\nAnswer: -14419772*c**3 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643 + 661. Let c be ((-45)\/4)\/((-1)\/4). Calculate the highest common divisor of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 553 and -195514868.\nAnswer: -195514315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 take away 1173?\nAnswer: -1172.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1135)\/564*(-86)\/(-10). Let w = -8\/141 - v. Find the common denominator of 30\/75 + 437\/(-80) - -1 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1707 in -0.3, -24, 4\/7, 0.2, 2, -2\/17?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + -16 + 22 + -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**5\/35 - 8*z**4 + 896*z**3\/3 + 801. Suppose j(x) = 0. What is x?\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 109037*p**3 + 3*p**2 - 3*p**2 - 109038*p**3 + 53.\nAnswer: -p**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, -35, -100, -179, -278, -403, -560?\n\"Answer: -f**3 + 2*f**2 - 56*f + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/5 (b) 1329 (c) -0.2 (d) 0.11 (e) 2.9 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3 + 4 + (-8)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46476 = -14*x + 3714. List the prime factors of x.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219813\/40 + 5495. What is the common denominator of r and -17\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 - 5*b**2 + 5*b**2 + (-5*b + 2*b + 5*b)*(b - 2*b - b) - 14 + 14 - 9*b**2)*(2*b - 2*b + 4*b) as c*b + l*b**2 + m + r*b**3 and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(136\/(-306))\/((-56)\/(-1302)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 18*n**2 - 26*n - 3. Let a(f) = 41*f - 21. Let o be a(1). What is the hundreds digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -639\/7 + 91. Let k = 35.7 - -0.3. Let d = k - 35.5. Which is the third smallest value? (a) v (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g + 2*m - 0*m, -g = -m + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 2. Let b(g) = 3*g**3 + g**2 - 1. Let i be b(s). Let k(t) = t**3 - 4*t**2 + 3*t + 2. Let f be k(i). Solve 0*z - 2 = -f*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 at least as big as 2137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7642440 divided by 3.\nAnswer: -2547480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**1*h)\/h)**7*h*h**1*h**(-10) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -3. Suppose q*w - 58 = -51. What is the units digit of (w - -1) + -5 + 133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229791421.9999898 - 229791449. Let f = m + 27. What is f rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133832?\nAnswer: 2, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajljjlaajjllll. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 2*p + 3*p + p. Let j(d) = -23*d. Calculate j(i(v)).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f + 251. Calculate l(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 13, 52, 93?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u + 8*u - 25092. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*p - 16, -2504*d + 12 = 4*p - 2497*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -115c0 + 2?\nAnswer: -115bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19870 - -64380. List the prime factors of w.\nAnswer: 2, 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 1. Let f be h(1). Let i(z) = 4*z - f - z + 0*z. Determine i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(22\/9))\/(v\/(v**(-12\/11)\/v*v))*v**38\/(v*v**(-5\/3)) assuming v is positive.\nAnswer: v**(3962\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 102. Let k be q(14). Let p = k - 127. Solve 0 = a + o, 2*a - o = -4*o + p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 2)*(3 + 0 - 1)*(0*w + 5*w + 8*w).\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 2949.\nAnswer: 97317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by -234.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5 - 356*b**4 + 15114*b**3 + 64792*b**2 + 66248*b = 0?\nAnswer: -2, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 55*q + 275. Give s(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/((a*a\/(a\/a**(-14)))\/a))\/a*a*a**8 assuming a is positive.\nAnswer: a**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/6)*3363\/(-247)*(-52)\/8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 - r + 4. Let k be 6 + -13 - 0\/(-1). Let h be o(k). Suppose -5*t = -4*t - h. Solve 3*g - 4*u = -t, -g + 4*g = 3*u - 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11032110 + 34?\nAnswer: -11032021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 262*h**3\/3 + 57*h**2\/2 + h + 249. What is the second derivative of x(m) wrt m?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103845405 - -3\nAnswer: 103845408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 11) in base 12?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 3*g + g + g as j + a*g and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 298465648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2677, -2821, -3015, -3265, -3577?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -5 + 1 + 11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.37 take away -27.5943247?\nAnswer: 39.9643247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4699, 9419, 14139, 18859?\nAnswer: 23579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2 - 3*u + 0*u - u + u. Let f(n) = -6*n + 4. Let o be (29 - 31)\/((-4)\/10). Determine o*h(d) - 2*f(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106876038 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -10 + 16 - (-4 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.5 + 15. Let f = -158 - -155. What is the smallest value in f, 0.07, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2 - 110*c - 92 wrt c.\nAnswer: -4*c - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62 - 3 + 1 - 5 + 42*m wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 13*u**2 - 66730*u**3 - 10*u**2 - 80095*u**3.\nAnswer: -146825*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 21*r - 50. Calculate b(-21).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 285\/76 + 2 + 7\/(-4). Suppose -3*m - 2*i = 3*i - 3952, o = -4*i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/76937600 and -57\/320?\nAnswer: 76937600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 58*r**2 + 4*r - 3. Let w(s) = 56*s**2 + 4*s - 3. What is -6*n(v) + 7*w(v)?\nAnswer: 44*v**2 + 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 992*s**3 + 1857*s**3 + s - 914*s**3 - 28 in the form v*s**3 + c*s**2 + u + f*s and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4448*r + 3143*r + 1254*r to t*r + w and give t.\nAnswer: 8845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*y + 23. Let f = 13 - y. Suppose 0 = 5*w + 6 - f. Which is smaller: 2\/21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 28. Suppose -10*t = -3*t. Suppose t = -13*m + 10*m + 87. Calculate the remainder when m is divided by b(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y - 1)*(0*y - 5*y + 3*y + (-6*y + y + 3*y)*(-2 + 7 - 3)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -5\/4 (c) 5 (d) 17184 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 + 3*l**2 + 3*l + 6. Let d be w(-5). Let z be (d\/5)\/2*1. Let k = z - 66. Calculate the common denominator of k and -28\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w - 8. Calculate the remainder when 17 is divided by y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 23. Suppose 0 = -6*k - w + 29. Let l = 21 - 20. Solve -19 = -k*f + l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -33*w + 36. Give z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 9922?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 43*j**2 - 10*j - 38. Let w be r(7). Suppose -17*o + 15*o + 1994 = 3*z, -o = 3*z - w. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 20. Suppose -o = 4*k + 20, 3*k + 1 + 14 = o. Let c be j(k). Calculate the highest common divisor of c and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 6, -n - 82 = -5*k. Suppose 0 = k*f - 17*f + 3. Let c be 2\/(7\/3 - 2). Calculate the highest common factor of f and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*r = -0*o + 6, 4*r + 20 = 0. Suppose -7 = -15*f + o*f. Solve -5 - f = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-40)*((b*b\/(((b\/(b\/(((b*b**45)\/b)\/b)))\/b)\/b)*b*b)\/b)\/b)**22)**(4\/13) assuming b is positive.\nAnswer: b**(-7040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119?\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-12))\/(-85*39\/40170)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w**2 + 157*w - 5*w**2 + 23*w - 11*w**2 as p + x*w**2 + q*w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 644368668 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -494 + 154. Let o be k\/(((-9)\/6)\/(-3)). Suppose 0 = -x - 5*w + o, -2*x - 2*w = x - 269. Round x to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (1 - (-3 - (-2 - 8 - -1))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64129397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 39 = -1. Suppose 3*f - g - 1 = 74, -z*g = -2*f + 46. Solve 13*j - 26 = f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125502*x**2 + 7*x + 6154?\nAnswer: -251004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + 6 - (-6 + 35 + -6) - -104.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309 - -234. Let f = 43 - 31. Let p be q\/f + 2\/(-8). What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2501478 or 2501547?\nAnswer: 2501478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 145618, -1.\nAnswer: -2, -1, 145618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 69. Suppose 4*q = 5*l + 53, -4*l - q = -0*q + 55. Let x = l - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u - u + 5*u to the form j + a*u and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57530118 to the power of 1\/2, to the nearest integer?\nAnswer: 7585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29975 - -56775. Suppose 4*z - 8*z = c. What is z rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k - 5. Let f(u) = -17 - 3*u + u - 4 + 4*u. Let r be f(7). What is the units digit of t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 55*g**2 + 81*g - 117. Determine m(26).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*s - 12, 13*s = 14*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - n. Suppose -2*l = 4*s + 15 + 39, n = -4*s - 16. Let i = -10 - l. Calculate the remainder when 25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006496507 rounded to 6 dps?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057731.\nAnswer: 3, 79, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49\/5 of a century?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 0 + -6 - -1 - -475.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43496)\/(-50) + (-3 - 539\/(-175)). Calculate the highest common divisor of 1595 and l.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25893 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 5*j + 3. Let c = 4 + -2. Let k be d(c). Let m(y) = -2*y**3 - 5*y**2 - 3*y + 7. What is the tens digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 17 + 7 - (69 - 390\/13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, -25 in ascending order.\nAnswer: -25, -19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 667905079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -12*o**4 - 56*o**3 = 0.\nAnswer: -14\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 373.602 + -373. Let j = -0.031 - -0.491. Let b = a - j. What is b rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {s: 2, k: 2, j: 5, m: 6, z: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*m + 78. Let t be (6 - m)*28*2\/4. Let r = t - -27. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -560, -889, -1242, -1625?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 0, -2\/15, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944373 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 9*j**2 - 2*j + 18. Suppose 4*o = -3*z + 48, o - 4 - 13 = -2*z. Let x be y(o). Suppose x = 5*c - 42 - 453. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 8*u - 32. Suppose y = -d + 7, 19 = u*y - 4*d - d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14763878 to three dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 11*v**2 - 26*v + 1. Let w be (-10)\/(20\/(-39))*2\/3. Let u be p(w). What is the third derivative of u + 14*z**3 - 1 - 15*z**2 - 40*z**3 wrt z?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 11. Let l(g) = g**2 - 2*g - 3. Let z be l(-2). Let x be s(z). Suppose -5*f + 254 = -x*j, -j - 7 = -f + 43. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 1, u: 2, b: 1, i: 1}. Give prob of picking 1 b and 1 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 864 + -30591?\nAnswer: -2ca2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 + 9*n + 1. Let x be j(9). Let r(b) = b - 6. Let o(f) = -1. Let s(z) = x*r(z) - 6*o(z). Let l(k) = -6*k. Calculate s(l(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**2 + 0*b**2 - 2*b**2)*(32*b**2 + 5*b**2 - 7*b**2) in the form g*b + t*b**4 + o*b**3 + p + k*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + 3 + 5)**2.\nAnswer: 16*sqrt(17) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 983*r**2 + 10*r - 11. List the prime factors of g(1).\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 19*z + 12 = 0, -1284 = -2*h - 4*z. Suppose 943 = -4*x + 2907. Suppose 0*j - 2*f = 3*j - x, -h = -4*j - 4*f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3062529ml to litres.\nAnswer: 0.0003062529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6890267498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427*y**5 - 222532*y**3 + 4032*y**2 + 14631*y + 1 wrt y.\nAnswer: -25620*y**2 - 1335192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010593 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*c - 6 + 13*c - 5*c)*(-2*c**2 + 2*c - 2*c) in the form t*c**2 + f*c + l*c**3 + n and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n + 8 = 2*z, -2*z - n - 130 = -270 + 132 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698206182.\nAnswer: 2, 823, 1031717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -0.3, 1\/5, -0.03, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + (2 - 102\/27). Let w be 2\/(-2) + d + 1. Suppose -8 = -z - 4. Put z, 1, w in decreasing order.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3152 + -2992. Calculate the remainder when 2078 is divided by x.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22321 - 22321 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(20)\/sqrt(196)))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10251*(9\/6)\/(54\/12). Calculate the highest common factor of 51 and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769508309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 27. Let h(b) = -13*b - 8. Let w be h(y). Solve w*u - 3*n - 17 = 11, 0 = 5*u + n - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 - 1 = 3*s, 3*s = 0. Let d = l - -32. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (490\/(-4))\/7*(-18 - -2) is divided by 279.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (46\/(-2) - -4). Suppose 60 = -5*g + w. Sort 5, g, 1 in increasing order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 21*s**3 + 3*s - 4. Let j(n) = 27*n**3 + 5*n - 5. Calculate 3*i(f) - 2*j(f).\nAnswer: 9*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663\/7 - -95. Let m be (-4)\/26 + (-44)\/52. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*c - 5, 5*t + c = -1 - 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 19. Let s(f) = f - 9. Let q(z) = -13*s(z) - 6*t(z). Let o be q(4). Which is bigger: 5\/19 or o?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 34 = 4*p - 9*p, -5*p + 3*r = -46. Solve 0 = p*j - 13*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 1 - (-2)\/(-3)*6. Let v be -3 - (-23 + -1) - x. Which is greater: v or 144\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - k = 9*m - 11, -3*m - 4*k = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5*a - 3. Let r be u(6). Let h = -921 - -932. Suppose 0 = -9*s + 7 + h. Solve -s*b + 2 = 0, 4*b = 2*t - r*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1555.45 to the nearest ten.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/15 + 246*x**3 - 72134*x**2\/5 - 21666074*x\/15 - 119247072\/5 = 0.\nAnswer: -1899, -29, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 + -0.012.\nAnswer: 3.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - (-63 - -40 - 79).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.50104 litres to millilitres.\nAnswer: 11501.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 396*u + 9440.\nAnswer: 4*(u + 40)*(u + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562086 is divided by 12698.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 25 = -4*d + 3*k, -3*k + 3 = 0. Suppose -21 = -2*q + d. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/4 of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (21 - 13) + -10 + 14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131918 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -370, -818, -1256, -1678, -2078?\n\"Answer: z**3 - z**2 - 452*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l + 28. Suppose 4*v - 26 = -10, -l*u = -2*v - 6677. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -2658?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 2981.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*p = 26, 4*w - w - 31 = -4*p. Let k = 3\/34 + 109\/17. Let l = 6 - k. Which is the closest to -0.1? (a) w (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 - 5*u - 5. Let n(t) = t - 9. Let c be n(7). What is the tens digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Suppose k = -2*d + 65 - 9. Let q = d - 19. Solve -w + 7 = 4*w - 4*p, -3*p - q = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2085)\/264 - (231 + -239) - 2\/(-16). Let g(m) = -m + 4. Let w = 0 + 3. Let c be g(w). Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1841965 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161207309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.760001 to 2 decimal places.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000106795134 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 101*w**2 - w - 1. Let x be n(-5). Let o = 483041\/191 - x. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -43, -47, -45, -37, -23, -3?\n\"Answer: 3*i**2 - 19*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/((-1881)\/1672)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.05, 0.08, -1, 0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9146*h - 32. Let n be f(-8). Round n to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*x + 798 + 147 = -36*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p - 30*p + 38 = -5*n + 13, 176*p = 186*p - 2*n - 64 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600575 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -277. Calculate the highest common divisor of z and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 3 (b) 1 (c) -3 (d) -0.2 (e) -57 (f) -0.0324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 + -19 + (9 - 14) + 10 - -133?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0*x**3 + x**3)*(47*x**2 + 3722 - 3722 + (-4*x**2 + 4*x**2 + x**2)*(1 + 2 - 2) + 3*x**2 + 0*x**2 - 4*x**2).\nAnswer: -47*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -1 + (-52 + -6 - -53) - 1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.877*-23\nAnswer: 20.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12 = -17. Let s be 1\/2*((-616)\/(-63) - 10). Is v less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4317*c + 29*c**3 - 2*c**2 + 8*c**3 - 4319*c to q*c**2 + j*c**3 + w*c + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10053*o + 5064*o + 84078*o.\nAnswer: 79089*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 562542857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 10320232132213?\nAnswer: 10320232132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s + a + 1, 0 = 5*s + 4*a + 25. Let l be (3\/(-3))\/(s\/2). Differentiate 3*t + 4 + l*t - t - 1 with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 777, -2, 2.\nAnswer: -2, 1, 2, 4, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 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 d(z) = 11*z + 2. Let l(b) = b**2 + 2*b - 1. Let f(n) = d(n) - 3*l(n). Let j(g) = g**2 - g - 1. What is -f(y) - 5*j(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 7. Suppose -3*p + 10 = 4. Which is the nearest to -1\/4? (a) -4 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 187*y + 3*y**2 - 5*y**2 + 135*y - 149*y as p*y**2 + n + d*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*q - 8, -2*k + 4 - 13 = -5*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**4 + 5*b**2 - 5*b**2 + (b**2 - 4*b**2 + 2*b**2)*(0*b**2 + 2*b**2 - b**2))*(2*b + 4*b - 4*b).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.1, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - k - 511, -2*m + 6*k - k - 541 = 0. Let t = m - -12383\/48. Find the common denominator of -41\/18 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3573\/(-2))\/(3\/54). Is ((-4)\/6)\/(18\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24625\/(-985)*904\/(-200).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -562\/37897 or 1?\nAnswer: -562\/37897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 3, a: 7, v: 1}. What is prob of sequence gbgv?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, 0, -1 in ascending order.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6, -0.025 in increasing order.\nAnswer: -6, -0.025, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110111 + -100011?\nAnswer: 10000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 375.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*v - 26, 0 = 130211*v - 130212*v - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, 1\/5, -28.9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153014, 153079, 153144, 153209, 153274, 153339?\n\"Answer: 65*m + 152949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2913 = -616*q + 318*q - 1259 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m + m)*(-70*m + m - 48*m).\nAnswer: -351*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p + 15*p - 1861*p**3 - 1595*p**3 + 13*p.\nAnswer: -3456*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4\/(-50) - 0). Suppose 57*o - 59*o + 7*b + 39 = 0, 3*b = -o - 13. Calculate the highest common factor of o and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1) - ((-1403)\/(-427) + -7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2. Let r be j(-1). Suppose t - r*t = -d + 41, 2*d - 5*t - 79 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (-150)\/12*(-24)\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - 2914*n**3*v**3 - 81*n**2*v**2 - 2*n*v**3 - 31*n*v wrt n.\nAnswer: -120*n**2 - 17484*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 2:16 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -235, -398, -635, -970?\n\"Answer: -4*w**3 - w**2 - 82*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 20. Let t be u(-4). Let j be (-8)\/t - 42\/(-8). Let z = -0.3 - -0.8. Which is the closest to 0.1? (a) 1\/7 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/3 - t**3\/3 - 2*t. Let n be p(2). Let v = 113 + -65. What is the greatest common factor of v and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)\/(((v\/v**13)\/v)\/v*v))**(-11)*((v*v**0)**(3\/28))**(-1\/4) assuming v is positive.\nAnswer: v**(-16019\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 38*i + 302. Calculate u(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s + 24. What is the lowest common multiple of (-1)\/(-5) + (-58)\/(-10) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1271474.4926+-0.04477\nAnswer: -1271474.53737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/66 - 1156*m**3\/33 + 334084*m**2\/11 - 7834*m - 2. Factor o(b).\nAnswer: 2*(b - 578)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*c + 2*i + 2*i, -5*c + 3*i = -9. Suppose h - 5*o = -2*o + 98, c = -o + 2. Calculate the remainder when h is divided by (-4 - -1)\/((-2)\/14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/(-200)*34\/((-2380)\/1575)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 5*n - 9*d + 218 - 114, -20*d - 43 = -4*n - 25*d for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x - 0*x + 16. Suppose 0 = -x*b + 40 - 2. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**3 - 553*h**2 + 28*h + 4. Let m be p(18). Round m to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 2, g: 4, d: 8}. Give prob of picking 1 g and 2 d.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 10*b + 4.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -413, -910, -1583, -2420?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*2\/45*-5. Put -4, 4, -5, j in increasing order.\nAnswer: -5, -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let v(g) = -12*g + 1. Let c = 206 + -147. Let z(d) = -28*d - 30*d + c*d. Give q*v(i) - 22*z(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1343 divide 154064931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4 - 25*h + 5 + 0 + 24*h. Calculate the remainder when 62 is divided by l(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 18. Let v(u) be the second derivative of u**4\/12 - u - 2. Calculate g(v(y)).\nAnswer: y**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 + 84*v + 1065. What is the lowest common multiple of p(-16) and 847?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v = -220. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 - -197. Solve 4*t + i*q = -4, 0 = 10*q - 9*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*t - 49, 7*p - 20 = 2*p - 4*t. Suppose -5*n + p = -n. Suppose u = -2*l + 27, n*u - l - 52 = -6*l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 60 = -0*g. What is the greatest common divisor of 210 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, 5, -1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12))\/((-2)\/(-4)). Let a be (75\/(-175))\/(q\/(-7)). Solve -a*z - 9 = -6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/5)*w**(-6\/7)*w**(-3\/5)*(w\/(w*w\/(w*w*w**(2\/15))))\/w assuming w is positive.\nAnswer: w**(-328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 58. Let u be i(15). Let g be (-372)\/u + 4\/(-14). Calculate the greatest common divisor of g and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 13 - 3*z**2 + 5 + 12*z**2.\nAnswer: 2*z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.12645um in kilometers?\nAnswer: 0.00000002812645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w + 80. Let r be v(7). Suppose 0*m - m - 15 = -3*g, -2*g + r = 0. Which is bigger: m or -143?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-64) - ((-473868)\/(-16))\/(-9)?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106.26 + 102. Let o = z - -3.96. Put -2\/5, 1\/11, o in decreasing order.\nAnswer: 1\/11, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -29 - 7. Let z(k) = 50*k - 2. Let a be z(4). What is the greatest common factor of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/6531305 and -123\/10?\nAnswer: 13062610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.6237g in tonnes?\nAnswer: 0.0005096237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258 or 28699\/111?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:58 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*s + 3 = -q + 636*s, -59*q = 2*s - 702 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12*32288\nAnswer: 387456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3*m - 9. Let h be s(-4). Let l(p) = 4*p**2 + 10*p. Let j be l(h). Suppose 0 = -n + 6*n - j. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 - j**2)*(j + 1 - 1) + (2*j**2 + 4 - 4)*(4*j - 6*j + 3*j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyeyybbeybbb. What is prob of picking 3 b and 1 y?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 + z - 2. Let j be h(2). Let m = j - -60. Is m\/(-2 + 3 + 1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -8 + (-8 - -14) - 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56000 and 105483200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:56 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3218 = 56*m + 1913 - 2055 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 182443590?\nAnswer: 364887180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + 3)\/9)\/(13\/6*(-8)\/(-1716)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - sqrt(52) - (sqrt(1053)*-1)**2)*-6.\nAnswer: -36*sqrt(13) + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(147) + sqrt(147) + 5 + (sqrt(147) + -3*sqrt(147) - sqrt(147)) + sqrt(147))*2 + 3)**2*2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = -2*j + 2, -4*t - 22 = -j. Suppose 0 = p + j*p - 9. What is the third derivative of -1 + 1 - p*b**3 - b**2 + 4*b**2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*n - 18*n - 24*n as y*n + u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = 4*d - 17, 3*x + 3 = -3*d. Let b = x + 1. Is b\/(2\/254)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3272*k**2 + 1 + k + 3270*k**2 - k**3 - 8*k**3 in the form u*k + n*k**3 + f*k**2 + z and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 133767186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56136697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-4)\/24*(-45)\/15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 1 - v**2 + v + 2*v**2. Suppose 1 = -0*c + c. Let s be f(c). Which is greater: s or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)**14\/(r**(1\/3))**(-43))**(-1\/3) assuming r is positive.\nAnswer: r**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1387\/(-76) - -16)\/(48\/(-1472))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, 22, 5 in descending order.\nAnswer: 22, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(63) - (-5*sqrt(7) + 1))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, d: 9, a: 2}. Give prob of picking 1 a, 1 s, and 2 d.\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.5 - -79. Let r = -27855 - -417607\/15. Let v = 40\/3 + r. Which is the closest to -2? (a) -0.1 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 14. Let h = -45 + 181\/4. What is the smallest value in q, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134798 and 1.\nAnswer: 134798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbgggggggbggggg. What is prob of sequence gb?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -647 + 865. What is the remainder when b is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + (-3)\/9. Suppose -12 = -4*u, d = 2*y - 3*u - 4 + 23. Let n(s) = s**2 + 4*s + 1. What is n(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -30*c + 38. Differentiate 28*t**2 + 97*t**3 + 78 - 10*t**c - 4*t**2 - 13*t**2 with respect to t.\nAnswer: 291*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**3 + 65*n**2 - 155*n - 225 = 0 for n.\nAnswer: -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let g(d) = 0 + 0 - 558*d + 1670*d. Give g(a(w)).\nAnswer: 1112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9749 = 857*v - 26889 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/15, -57\/4, 0.1 in increasing order.\nAnswer: -57\/4, -0.4, 0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (17 - 15) + (25 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 298 = 4*t, -6*t - 4*r - 56 = -6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:07 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31445 and 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Solve 5*k + 4*p + 23 = l, -5*k + 3*p - 9 = -0*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71186.9 to the nearest 100.\nAnswer: 71200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = l - 10, -29*k + 2*l + 1 = -32*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6572 = -3*x + 8*x + h, 2*x - 2636 = 2*h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47819*i*y**5 + 1624*i*y - 13*i + 343*y**3 + 10*y - 9 wrt y?\nAnswer: 956380*i*y**3 + 2058*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 484870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2)*-1) + -1 + sqrt(44).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.074 less than -34?\nAnswer: -38.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6550111847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17643697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 5*t - 51 = 0, 17*a + 18*t - 15*t - 37 = 22*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-612)*-477 + -12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5 + z - 1 + z**3 + 4 - 2*z + 3*z**2. Let w be (-1 - 0)\/((-2)\/(-6)). Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*a**3 - 597*a**3 + 300*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1141696134, 1141696132, 1141696130, 1141696128, 1141696126, 1141696124?\n\"Answer: -2*b + 1141696136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111110010100100 (base 2) to base 3\nAnswer: -1121202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let m(k) = -3*k - 1. Let l be m(-1). Solve -2*s = p*f + 13, -l*f = 5*s - 9 + 31 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. Let d = 1199 - 1193. Solve 0 = -y - c + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -26*z - 36. What is the third derivative of 4 + 274*v**5 + 266*v**2 - 4 - 8*v**5 - 76*v**z wrt v?\nAnswer: 15960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 - -101172?\nAnswer: 101171.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:55 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -282798512 divided by 308732\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2. Let d(r) = -7*r**2 + 4*r - 4. Let q(n) = -5*n**2 + 5*n - 5. Let o(k) = 5*d(k) - 4*q(k). Give s(o(x)).\nAnswer: 1575*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 3:47 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19591 - -176323\/9. Let b(m) = -m + 7. Let g be b(7). Determine k so that 0*k**4 + 2\/9*k + 2\/9*k**5 - p*k**3 + g*k**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 340*h + 686. Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 50*h + 89. Calculate the remainder when m(0) is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*m**(9\/8))\/m)*m**(-9))\/(m\/m**(-27)*m*m**(1\/7)\/m*m))**(-26) assuming m is positive.\nAnswer: m**(28587\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -2 (c) 54\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.959 + -0.041. Let j = -35.93244360679 - 0.06755590321. Let o = j - s. Round o to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:12 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 50 - 110 = -21*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17573\/3 - -5942. Let f = -80 + q. Let x(m) = m**3 - m**2 - 2*m + 3. Let c be x(2). Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -42822?\nAnswer: -42822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -4, 2\/9, 379\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 50240 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10. Suppose x = v - 1. Calculate the remainder when 12 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31419036 and 42.\nAnswer: 219933252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1262, 2737, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6314501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1968 and 2747?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (308\/84)\/((-1)\/(-1029)). Let p = 836 + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 6\/4. Let p = 37 + -33. Let y(d) = 0*d**k + d**2 + 5*d + 8*d**3 - p*d. Determine y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 498?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 8*u**3 + 4*u**3 + 0*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -38*m**5\/5 + m**4 + 49*m**3 + 177. What is the third derivative of i(j) wrt j?\nAnswer: -912*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose -x + 2 = -j*x. Let c = -21 - -18. Put -0.3, x, c in ascending order.\nAnswer: c, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxq. What is prob of sequence ux?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -3.96. Let p = -8.1 - -86.1. Let d = p + -77. Which is the closest to 2? (a) -2\/11 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = -10. Let g = 0 + 0. Let j = -4 + 6. Solve 3*t = g, -d - j = -5*t - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y**2 + 19 - 1\/3*y**3 - 4*y. Let o(s) = s. Determine w(o(n)).\nAnswer: -n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*z - 7*z. Calculate the highest common factor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-728)\/(-156))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j = 91*j + 15*j - 61612. What is the greatest common factor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 702628735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 20*z**2 - 20*z - 9. Let f be v(21). Suppose 5*j = 2*j - f. Which is the closest to 4? (a) 3\/4 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 33*n + 364. Is g(17) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 77475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 30*s + 10 = 3*d, -4*d = 5*s - 10. Let z be 3 + -1 + -3 + 2. Solve d = 2*r - v + z, 3*v + 2*v + 3 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3 - 11789*y**2 - 3160555*y - 789402 = 0?\nAnswer: -2649, -298, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*n**3 - n**2 + 143*n.\nAnswer: 174*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -204\/7? (a) -1\/6 (b) 2 (c) -9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-899540)\/1299945 + 1\/(-2)*8\/(-6).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(sqrt(36) + sqrt(288)\/(2*sqrt(8))))\/((sqrt(48)\/sqrt(4)*-1 + sqrt(12)*2*3)*3).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 a factor of 1020133972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -2\/43 (c) 11636 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 7*z + 66. Solve -j + z*j = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4)\/(2\/(-8)). Suppose 7*q = 2*q + 105. What is the highest common factor of g and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111100101100110111 - 1000000?\nAnswer: -11111100101101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 5. Calculate c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58770999 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivt when three letters picked without replacement from vutvvuvii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 693*z. Let k(j) = -54*j**2 + 81*j. Give k(w(v)).\nAnswer: -25933446*v**2 + 56133*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87908 = 85*p + 9283. What are the prime factors of p?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 + 2*g**2 - 18*g + 177. Does 81 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*c - 8 = 0, 62*c - 59*c + 12 = 3*g. Solve 2*l - 6 = 0, -g*z = 6*l - 3*l + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*s + 4, 8 = 2*s + s + 2*d. Let n = 6 - -1. Let y = n - s. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150403 (base 6) to base 8.\nAnswer: -34103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24)\/(sqrt(8) + sqrt(128)))**2 + (sqrt(3) - sqrt(147)) + 4 + (2*sqrt(6)*-5)\/(sqrt(20)\/sqrt(160)).\nAnswer: -46*sqrt(3) + 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1153301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*f = -3, 2 + 10 = -4*f. Let o = 0.2 - 0.4. Which is the closest to 0.1? (a) o (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -3\/4, 3, -299575?\nAnswer: -299575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1596 and 7.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 - 2*k - 6. Suppose -2*x = -3*c + 1 + 2, 3*x + 2*c + 24 = 0. Give h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 + 20*s + 20. Suppose -21 = -5*u - 2*u. Let n(h) = -93*h + 39*h - 7 - u*h**2 + 47*h. Calculate -6*a(i) - 17*n(i).\nAnswer: -3*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4145575 take away 2896.5?\nAnswer: -4148471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l**5 + 0*l**4 + 0*l**3 + 7 + 0*l + l**6 - 7\/2*l**2. What is the second derivative of d(k) wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 117 = -3*z - 28, -3 = -z. Let s be -3 + (-2)\/(-4)*878. Let b = s + -292. What is the highest common divisor of b and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 29.36. Let b = t + -0.06. What is the second smallest value in 0.09, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/4 - 7*h**2\/4 + h + 3 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y**3 - 3*y**2 + 3*y + 17. Let w(j) = -12*j**3 - 2*j**2 + 2*j + 17. Give -2*n(h) + 3*w(h).\nAnswer: -10*h**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15180*d*y**3 + 17*d*y + 1005409024*d + 101*y**4 with respect to y.\nAnswer: 45540*d*y**2 + 17*d + 404*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + 2*z + 1 - 5*z**2 - 2*z**4 + z**3 + 12*z - 4*z in the form i*z**4 + f*z**3 + c*z + b*z**2 + j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/26 - 41623\/(-25285).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 3*g**2 + 8*g - 8. Let l be v(8). Let i = l - -1845\/7. Suppose -2*c + 4*y + 0*y - 2 = 0, 3*c - 5*y + 1 = 0. Sort c, -2, i, -2\/11.\nAnswer: -2, i, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2. Let o(s) be the first derivative of 5*s**2\/2 - 12*s + 25. What is y(o(k))?\nAnswer: 50*k**2 - 240*k + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:45 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 356070 and -168596796.\nAnswer: -168240726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*h = -0*l - 107, -l = -3*h - 39. Suppose 4*z + 4 - 52 = 0. Calculate the remainder when l is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.451876 and -0.08?\nAnswer: -1.07615008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(116\/696). Let g be (-78)\/(-4) - 2\/12*-3. Solve -t - g = h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 715*b**2 - 239*b + 193. Calculate u(238).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/(-222))\/(((-15)\/(-2))\/(-5)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 978 - -70309305\nAnswer: 70310283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**5\/5 - 127*h**4\/4 + 4*h**2 + 2*h - 36. What is the second derivative of u(y) wrt y?\nAnswer: -12*y**2 - 762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 346?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3121 - -3103. Let t(b) = -b - 1. Let s(v) = -3*v - 9. Determine o*t(p) + 2*s(p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -2*(sqrt(162) + 4 + 2)**2 + -2).\nAnswer: 1080*sqrt(2) + 1970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -n, -3*j - 3*n = -12. Let p(k) = -k**3 - 25*k**2 + 3. Let q be p(-25). Suppose 0 = j*l + q*l. Solve l = -5*f - 14 - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584688 is divided by 2662.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + b + 4. Suppose -2*x - 6 = 4*u, 4*x - 5 - 4 = -u. Let g be c(x). Solve n + g = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1584) + -5)*4 - (sqrt(1584) + -2 + sqrt(1584) + 3 - (sqrt(1584) + sqrt(1584) + -1)*1))**2.\nAnswer: -6336*sqrt(11) + 228580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -756, -754, -752, -750, -748, -746?\n\"Answer: 2*k - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1425, 2\/7, 842?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-0.124\nAnswer: -0.01116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 2722568100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-7))\/((-510)\/204)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:13 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/s)\/((s**(-1\/5)*s)\/s*s*s))**(6\/11)\/(s*s\/(s*s*s*s**3*s*s)*s*s\/(s\/(s*s**(1\/6))))**(1\/21) assuming s is positive.\nAnswer: s**(871\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 5*sqrt(156)*-2) + sqrt(156))\/(sqrt(12) + sqrt(24)\/sqrt(2)*-4).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -418*n**2 + 145548*n - 29234. Calculate s(348).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 0*g. Suppose -5*t + 5*m + 35 = g, 0 = -0*t - 3*t + 5*m + 25. Solve -t*n - 2*x + 8 = -n, -2*x = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 20. Suppose c*t + 75 = 9*t. Suppose 0 = -4*u + 17 + t. What is the highest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzuuu. What is prob of sequence zuuz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -7. Let m = c - 6.95. Is m at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -w - 7 - 1, -8 = -w - i. Suppose -3*o + 3*x + 9 = 0, -w*o - 3*x + 1 = -4. Let a = 0.41 - 0.11. Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26933983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353189.6871 + -353453.7. Let a = 107 - -157. Let v = a + p. What is v rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 78. Suppose 825 = -88*o - 407. Let j = z + o. Solve -5*a + s - j = 0, 0*a - s = -a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*42 - (-4 + 2). Let j(y) = 2*y**2 - 7*y + 61. Let o be j(7). Calculate the highest common factor of o and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 3\/8, -1541, -440, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163407 + 26185. Let w = 93472 + x. Let c be (w\/1)\/((-1)\/64). What is c rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (28 - 69) + 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -4. Let i(g) = g**3 + 33*g**2 + 34*g + 79. Calculate the remainder when l is divided by i(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + m - 5, -m - 8 = -3*c + 1. Let f = 0.37 + -0.09. Let l = -0.22 - f. Sort l, c, 6 in increasing order.\nAnswer: l, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431013200 rounded to the nearest one hundred thousand?\nAnswer: -431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20*(-5)\/(-20)*-3. Let v = g + 47. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.027 - -0.022. Let d = -473 - -473. What is the nearest to d in x, 2\/11, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -24*g + 7. Let s(b) = -339*b. Calculate s(z(o)).\nAnswer: 8136*o - 2373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*a**2 - 446*a**2 + 221*a**2 + 49*a + 110*a to the form p*a + t*a**2 + h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (1 + sqrt(11)) - sqrt(11)) + -3)*-1 + -1 + sqrt(99)*6)**2.\nAnswer: 114*sqrt(11) + 3980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 10*3\/(-9). Let d = 9 + v. Solve -3*b + 4 + d = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:18 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*-2 - 280\/(-60). Solve 3*y = 10 - r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 6:32 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y + 4. Let r be m(-7). What are the prime factors of (-2)\/11 + (-8177)\/r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4261.9 - -4262. Let y = 21 - 28. Which is the nearest to d? (a) y (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m - 6113*m**3 - 1 + 110*m - 2*m**2 - 59*m.\nAnswer: -6113*m**3 - 2*m**2 - 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - 72044*w**4 - 648936314*w**3 - 2594880792*w**2 - 2594592648*w.\nAnswer: -2*w*(w + 2)**2*(w + 18009)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 31 = 5*w, 2*j + 38 + 13 = -5*w + 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832602.\nAnswer: 2, 3, 193, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 12*x + 320 = 0. Let f = 69 + x. Solve 5*j = -2*n - 27, -f*n + 0 = -5*j - 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and (4\/104)\/(10\/228).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 56 = 2*y. Suppose 0 = y*n - 13*n - 4. Differentiate -12 + 22 + 2*c + n with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 - 10*k - 9. Let y be v(5). Suppose -5*d - 5*x - 41 + y = 0, -5*d - 3*x + 92 = 0. Calculate the remainder when 111 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -1, -319, 17\/2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 18*l**2 - 14*l - 93. Let w be b(19). Solve c - 3*c - 3*h = 21, h + w = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 8 = 0. Suppose -2*d - 28 = -4*f - 6*d, w*d - 4 = 0. Solve 4*o = f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 - l**4\/3 - l**3\/2 - 2*l**2 - l. Let u be w(5). Does 9 divide (-1)\/u + 134\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fapffpffapafpap. What is prob of sequence ff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11331 (base 4) in base 8?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 + 40*y**2 - 48*y + 2. Determine j(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(2\/21)\/m)\/m))\/(m*m\/(m**(1\/3)*m)*m))\/(m**0)**(-12) assuming m is positive.\nAnswer: m**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 7:12 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -49. Let a = -43.6 - t. What is the second biggest value in 0.5, a, 29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*g**2\/5 - 388694*g\/5 + 10140.\nAnswer: -2*(g + 8450)*(23*g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2))**(-14\/5))**(-3\/20) assuming b is positive.\nAnswer: b**(63\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*l + 5*k - 18, 0 = l + 5*k + 2. Suppose -2*o - 7 = -5*h + 103, -3*h - 4*o = -66. Let t = l + h. Solve v - 3*v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-4)\/2 - 0). Suppose -3*r + l*u = 170, -3*r = -4*u - 54 + 232. What is the remainder when 0 - (3 - 2)*r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 149352.\nAnswer: 149352.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/35, -5, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -203. Which is the third smallest value? (a) t (b) 0.4 (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1764, -1274, -784, -294, 196, 686?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let c(n) = -n**3 - 4. Let m be c(-3). Suppose y*g - m = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33129048 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1551524 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(16\/((-11968)\/(-7990)) - 11)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1573a7 (base 12) to base 8\nAnswer: -1311157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 8*x = -12, 0 = -v - 2334890*x + 2334886*x - 20 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -42*l + 1349. Calculate j(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3124)\/110*-5*1\/2 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448) + sqrt(448))*3.\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 134, 0, -3.\nAnswer: -4, -3, 0, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(33) + sqrt(396)\/sqrt(108) + sqrt(33))\/sqrt(432).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t**2)\/((t\/(t*t**4))\/(t\/t**(-2\/9)*t)) assuming t is positive.\nAnswer: t**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 + 4*z - 3. Calculate f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1)\/(-3 - -2). Let b = 1 + o. Let h(q) = -q**2 - 280 + 564 - q - 278. Give h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 17. Let y(q) be the second derivative of -q**5\/20 - q**4\/2 - q**3\/3 - 2*q**2 + 2*q - 11. Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 + (-1 - 0). Let c(b) = b**2 - 5*b. Let r be c(5). What is the nearest to r in -2\/25, j, -0.5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -1172, -1760?\nAnswer: -2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/4 + 3*v**3 + 5*v**2 - v - 420. What is z(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149408 and 1932.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 16) + (-1050 - -1117)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -301813*o. Let r(t) = -750*t**2. Determine f(r(j)).\nAnswer: 226359750*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34361023 (base 7) in base 5?\nAnswer: 1232201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -6*p. Suppose -29 = -3*s - 4*c, -s - c = p*c - 13. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/33, -5, -17, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((-203)\/(-14) + (2 - 27\/6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4959 (b) -8 (c) -0.3 (d) -4\/9 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36343, -36344, -36345, -36346, -36347?\n\"Answer: -x - 36342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -274 + 2254?\nAnswer: 1a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8261596 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 135*j**3 + 1155*j**2 + 3025*j.\nAnswer: 5*j*(j + 5)*(j + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221 and 108120.\nAnswer: 1405560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 4*z - 43, 4*w - 3*z + 279 - 294 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = 4*w + 10, -4*d + 4*w = 4. Let v be ((-117)\/(-20))\/3 + d. Suppose -3 = z + 2*z. Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 3*x - 28*x + 1 + 7*x.\nAnswer: -14*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-12)\/((-4)\/2). Suppose -2*g - 3*g + m = 4*v, g = 0. Suppose -s = 5*u - 6, 3*u - 14 = -0*u + v*s. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k*k*k*k**(-6)*k*k*k*k))\/k)\/(k\/(k*k**(-1\/3)*k)))\/(k**(-1)*k)**(14\/3))\/((k**1)**(31\/3))**(-2\/13) assuming k is positive.\nAnswer: k**(88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 9*f + 26. Let d be c(11). Suppose -2220 - 624 = -d*h. Suppose h = 2*v + 7*v. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/740 and -63\/200?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1. Let l(a) = a - 14. Let g(p) = 3*p - 73. Let z(r) = g(r) - 4*l(r). Give 4*x(n) - z(n).\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 824125.208 rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 3*g - 4 + 3*g. Let j be (60\/(-9))\/((-84)\/63) + -2. Determine r(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-90)*(-6)\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2. Let n be (9 + 1)*(35\/(-14))\/(-5). Suppose 4*k = n*r + 2 - 12, 4 = 2*r. Let q(y) = 4*y**2 + k*y**2 - y**2. Calculate f(q(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-25*3 - 3). What is the highest common divisor of x and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (11 - (-6 + (-6 - -8) + -11)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2790 and 705126.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(187) - (sqrt(187) - (sqrt(187) + (sqrt(187) - -2*sqrt(187)*4) - sqrt(187))))\/((-3*sqrt(121))\/sqrt(11)*-3).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from llqwuwqllqu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2592 - -2598. Let u = -4 + 18. Let m = u - x. Calculate the highest common factor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, 2, -4095.\nAnswer: -4095, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - w = -60, -v = 3708*w - 3702*w - 20 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 161?\nAnswer: 64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2376 + 2394. Calculate the lowest common multiple of 802 and c.\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*p**2 + 4414*l*p - 218413*l + 14*p**2 + p with respect to p.\nAnswer: -4*l*p + 4414*l + 28*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/3 (b) -3 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 3. Suppose 10*j - 230 = 5*j - 5*r, 4*j = -2*r + 192. Suppose j*a - 55 = 61*a. Give i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66217 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*m + 51, 66*x - 64*x - 4*m - 58 = 0. Solve v + 11*h - 15*h + x = 0, 0 = 5*v - 5*h + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 - (55 + (28 - 2))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, -4, 838 in decreasing order.\nAnswer: 838, 345, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -13.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123333001 (base 5) in base 13?\nAnswer: 182715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/30*9\/6. What is the fourth smallest value in 2\/121, k, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 1, h: 1, u: 1, g: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 120 = -3*r. What is the lowest common multiple of r and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 106, 1, 100 in descending order.\nAnswer: 106, 100, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 26, 44, 70, 104, 146, 196?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -299 + 5*h**3 + 623 - 2*h**2 - 2*h - 325 - 12*h**4 in the form x*h + j*h**4 + m + t*h**2 + s*h**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(26)\/(sqrt(8)\/sqrt(4)) - sqrt(91)\/(sqrt(7)*-1)) + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102707 by -6.\nAnswer: 102707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - 2 - (1 + 9 + -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*14)\/(21\/((-294)\/(-14)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*j = -6*j - 40, -5*h - 25 = -5*j. Let c = 42 + -49. Let t = c - h. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.2 in -1, -0.04, -20\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 0*w + 11108 = w + 11113, -3*w - 28 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4561 - 0?\nAnswer: 4561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**4 + 9*j - 4*j - 3*j - 13*j**4 - 47*j**3 to the form w*j**3 + c*j**4 + x*j**2 + l*j + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 514444.2997 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 35451?\nAnswer: -8\/35451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 330.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341305 - -155?\nAnswer: 341504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 1 + 7*u - 1\/3*u**3 - 5\/2*u**2. Suppose -16 = 2*j, 15*j + 0 + 128 = -4*w + 2*j. Determine b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2312426?\nAnswer: -2312425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21 + 1.2?\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-7\/6))*n*n\/(n\/n**(-9)))**3 assuming n is positive.\nAnswer: n**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 0 - (12 - 16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 13. Let t be n(-11). What is the first derivative of 22*j**2 - 39 + j**2 + j - 10*j**t wrt j?\nAnswer: 26*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/849 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 3. Solve s - c = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2. Let v(q) = 21*q - 1 + 1 + 18*q. What is v(f(s))?\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 28814863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 22344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296888829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8847744.\nAnswer: 2, 3, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6 + 4 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*u + 0*u**4 + 0 - 2\/3*u**5 + 0*u**2 + 4\/3*u**3.\nAnswer: -2*u*(u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r - 3*r)*(125 - 61 + 26 + 120).\nAnswer: -630*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iersrkq. Give prob of picking 1 e and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*m**3*o**2 + 1045*m**3*o + 13*m**3 - 2*m**2*o**2 - 6*m**2*o + 2328*m**2 + 3*m*o**2 wrt m.\nAnswer: 612*o**2 + 6270*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*h - 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -110422000?\nAnswer: -110421443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 187372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 - -0.8. Let j = 6 + y. Let f = -2.3 + j. Which is the smallest value? (a) 1\/2 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-24)\/2812)*-2. Let l = 1178 - i. Let n = l - 210. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*f - 23. Let x = 0.23 + 1.77. Put f, x, -2 in increasing order.\nAnswer: -2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-84)\/7 + 46865\/4056 and 193\/390?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdf when four letters picked without replacement from {d: 16, f: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691191 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/42228 and -103\/191590?\nAnswer: 10345860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 19*j**2 + 10*j + 12. What is q(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -3 (c) 243702 (d) -24.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-33) - (-24)\/(-54)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.7706 to one decimal place.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848386?\nAnswer: 2, 467, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6*a*a**(2\/5)*a*(a\/(a\/a**(-5\/4)))\/(a\/(a**(-7)\/a)))**(-6))**(-4\/9) assuming a is positive.\nAnswer: a**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + -1. Let v = 30 + s. Solve v*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(882) + sqrt(882) + (sqrt(882) + (sqrt(882) - sqrt(882)*1) + sqrt(882))*-3 + sqrt(882)))\/(2*(-6*(sqrt(45)\/sqrt(5) + sqrt(9)) - sqrt(9))*-1).\nAnswer: 63*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.053 (b) -93864 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22020111122 (base 3) in base 12?\nAnswer: -79a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.52 + -0.52. Let c = -1 - -0.6. What is the closest to 1 in 1, c, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72613687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/349 and 43\/2443.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0937011 - 1.684526.\nAnswer: -1.7782271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 19*s + 335. Let p be u(-9). Solve -2*d = p*n, -3*d + 5*n - 2*n = 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 119646*i.\nAnswer: -2*i*(i - 59823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 + 98 = -64*w + 3*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 301\/63 + (29\/9 - 3). Suppose -6*p + 4*p + j*r = 7, r + 1 = p. Suppose p*o = -50 + 182. Calculate the greatest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*d + 42, w + 53 = 6*w - 4*d. Suppose -w*x + 8*x = -45. Let g be (-11)\/(-9) - 10\/x. Solve g = f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -8*l**7\/21 - 13*l**3\/6 - 19*l. What is the second derivative of b(j) wrt j?\nAnswer: -320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429417837?\nAnswer: 3, 47713093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 2769*h + 43*h**3 - 7*h**3 + 1283*h + 1353*h + 10*h**5 - 2*h**2 wrt h?\nAnswer: 200*h**3 + 216*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9130 and 14.\nAnswer: 63910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187489\/43472 + -1\/2717. What is the common denominator of -25\/238 and a?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 88? (a) 0.3 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 165*g**2 - 43*g**2 - 39*g**2 - 50*g**2 - 38*g**2. Let i(b) = -b**2 - 351*b. What is i(x(z))?\nAnswer: -25*z**4 + 1755*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -424 or 90501?\nAnswer: 90501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252*u + 42 = 1245*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5949 is divided by 2965.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 2.03. Let p = -3.13 + 0.13. Let d = p + 2.7. Which is the closest to d? (a) q (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1511 - -1566 - (31 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -12 - 1\/3*x**3 + 6*x + 3*x**2. Determine l(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10290 and 1081080.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*v + 4, 8*v - 3*h = 12*v + 1. Let u(m) = 6 - 11 - v - m + 2 + 4. Let a(i) = -5*i**3 - 2*i**2 + 5*i + 7. What is a(j) + 5*u(j)?\nAnswer: -5*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**3 - 13*u**4 - 2*u**2 + 16*u**3 + 3*u**2 + 7*u**2 + 2*u**5 + 23*u**4.\nAnswer: 2*u**2*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - 10. Does 7 divide i*1*(-11 - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45906 + -45900.6079. Let h = n - 21.3828. Let m = h - -16. Round m to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 26. Let l be 6\/33 + (-93)\/(-33). Let k be n(l). Suppose -k*p + 900 = -1454. Is p a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 89.953. Let i = g - 2.717. Let h = 0.33 - i. Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-1\/38)*d*d**(-1\/7)\/d*(d*d*d**(-8)*d)**(-15) assuming d is positive.\nAnswer: d**(20171\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -4, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -453\/79 and 1\/152 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.518131 centuries to months.\nAnswer: 6621.7572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*m. Let k be 3 + m - 86\/75. Let t = k + 12\/25. What is the second biggest value in t, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmvnnvjrnpnj. What is prob of sequence jnv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 103026?\nAnswer: -103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18037266 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 1, b: 1, e: 3, c: 2}. What is prob of picking 1 e and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose -8 = -5*a - 2*n - 0*n, -3*n = -m*a - 12. Solve -3*o = o - 4*i - 28, -3*o + 5*i + 31 = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 8. Suppose -v = -i, -4*l - 1502 = -3*i - 5939. Suppose 0 = 14*x - 9*x - l. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times -15.057?\nAnswer: -692.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 305001*g**2 + 3*g + 2. Let h be u(-2). Round h to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 6 = 2*n, 5*t + 0*t + 4*n = -24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -326*b. Let k(c) = 25904*c. What is i(k(l))?\nAnswer: -8444704*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u**2. Suppose 37*a - 40*a + 93 = 0. Let t(o) = -17*o**2 - 22*o**2 + a*o**2. What is d(t(v))?\nAnswer: -1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172146902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34470638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9381208 by 4.\nAnswer: -2345302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78751 and 45185?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 161 = -249. Let x = v - 33. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44239 and 4797?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76)*-5)\/sqrt(4) + 1 + 1 + (-1*sqrt(95) + sqrt(95))\/sqrt(5) + 3.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuujuxggquzz. What is prob of picking 1 g and 2 u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14421.965 and 15325.\nAnswer: 29746.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136388 divided by -34097.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398724.764 rounded to the nearest one thousand?\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14314*k - 3964927. Calculate y(277).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w - 121*w = 98*w + 28*w + 13221 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -0.640050391\nAnswer: 0.840050391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -143. Solve 0 = 7*o - 12*o - a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 29*n = -565607. What is n rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + s, 7*h + 5*s = 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, f: 4, o: 1, m: 8}. What is prob of picking 1 m and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16330 is divided by 852.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 116 = -3*n. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 4 + -2 - -12. Suppose -q - 4*q - 24 = -3*m, -q - 2*m = o. Let b(z) = z + 16. Calculate the remainder when 36 is divided by b(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -1542 (c) -0.03 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 - 2. Let b be n(3). Let l = -41 + 54. Suppose -u + 14*u - l = 0. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 10*i + 14. Let n be k(-11). Solve 0 = 11*m + 2*m - n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -77*k**2 - 177*k - 7. Let m(w) = 128*w**2 + 300*w + 12. Let p(o) = 12*b(o) + 7*m(o). Let q(u) = 4*u. What is p(q(g))?\nAnswer: -448*g**2 - 96*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/97)\/u)**(1\/14) assuming u is positive.\nAnswer: u**(-99\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3373 + -1?\nAnswer: -0.6627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1.2, 3, -3525.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -7 (c) 4 (d) -1\/6179 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -16 + 2\/3*s**3 + 0*s + 0*s**2. Let w(t) = -6*t. Calculate w(i(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1558\/35? (a) 4\/5 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -3*z**2 - 1\/150*z**5 + 0*z + 2\/15*z**3 - 1\/60*z**4 + 0. Factor t(n).\nAnswer: -2*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + -1*sqrt(78)))\/sqrt(3) + sqrt(260)\/(sqrt(30)\/sqrt(3)))\/(-3*sqrt(8) + (1*sqrt(14))\/sqrt(7) + sqrt(2) + sqrt(2)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 7*u - 1. Let i be p(-6). Let f be (-20)\/(-16)*108\/90. Find z, given that z**4 + z**2 - f*z**3 + 0 - 1\/4*z**i - 1\/4*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024 divided by 23.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184 or 70\/3?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(2299)*2)**2*-5).\nAnswer: -91954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*s**2 - 68*s + 26762.\nAnswer: -124*s - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwkvkjvvkvv. What is prob of picking 1 k and 1 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 34 = -s, 783*s + 64 = 780*s - 4*u for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -11) + 6 + (-2 - 83) + (9 - -1).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434, 327, 202, 53, -126, -341, -598, -903?\n\"Answer: -z**3 - 3*z**2 - 91*z + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10276385, -10276369, -10276347, -10276319?\n\"Answer: 3*v**2 + 7*v - 10276395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmm when four letters picked without replacement from hhmhhhmhhhhhhm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1549013 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 10. Let i be q(-4). Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:04 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25529 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 0*l)*(17*l**2 - 11*l**2 + 3*l**2) + (3*l**2 + 10 - 10)*(-5*l + 3*l + 3*l) + (-3*l**2 + 6*l**2 + 2*l**2)*(0 + 2*l + 0).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(4\/(-6)). Suppose -231*y + 243*y = 0. Solve -v*x - 2*x - 8 = y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/219 - (-22)\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 336\/30*(-15)\/(-2). Suppose 0*r - 2*r + v = 0. What is the highest common factor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 45*b = 2025, -5*x + 2*b + 101 = 191 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38480*m**5*r**3 - 3*m**5*r + 215*m**2*r**3 + 94*m**2*r**2 - 3*r**2 wrt m?\nAnswer: 2308800*m**2*r**3 - 180*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x. Let b(o) = -o - 1. Let c(u) = -14*u - 10. Let m(a) = 10*b(a) - c(a). Determine 2*f(p) + 5*m(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -110201221?\nAnswer: 110201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 18*l - 4*l)*(-11 - 32 + 70).\nAnswer: -486*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 3 (c) 114 (d) 6 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 6*s**3 - 2*s**4 + 4*s**3 + 5*s**4 + 0*s**4 in the form n*s**3 + b*s**4 + i + w*s**2 + j*s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -138561?\nAnswer: -138559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12731.\nAnswer: 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-4))\/1)\/(21\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81574235 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 3. Let z = 135 + -107. What is the remainder when w\/((-102)\/106 + 1) is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/14)\/1*1\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 4*g**2 - 8*g + 27. Is 27 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 4060817 = 29*u - 120*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 2*(-209)\/22. Let h(q) = -q**3 + 20*q**2 + q - 11. Determine h(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from {h: 5, c: 4, t: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186\/7*c**2 + 18 + 15\/7*c**3 - 327\/7*c.\nAnswer: 3*(c - 1)*(c + 14)*(5*c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - sqrt(400)*1)\/sqrt(8)*-5)**2 - (-5 + (-4*sqrt(294))\/sqrt(3)).\nAnswer: 5 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16164 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314 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: What is 0.435377 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6894 (b) 0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111000100001000100001 + -10110?\nAnswer: 1100111000100001000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 40. What are the prime factors of (48\/(-40))\/((-6)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, -2.2, -4 in increasing order.\nAnswer: -4, -2.2, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18145, -18544, -19627, -21736, -25213, -30400, -37639?\n\"Answer: -57*c**3 - 18088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7963 = 5*l, -54 = -3*t - 60. What is the greatest common divisor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsnd when four letters picked without replacement from {h: 1, n: 10, b: 6, s: 1, d: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/5 (c) -5 (d) 2 (e) 1346 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b**2 + 1457*b**2 - 688*b**2 - 691*b**2 - 139*b**3.\nAnswer: -139*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 201110201 (base 3) in base 16?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkkpkyupykk. What is prob of picking 2 k, 1 j, and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2185, -4038, -5891?\n\"Answer: -1853*l - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84.207 and -185.\nAnswer: -15578.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 877\/5? (a) 21 (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 127, 4 in decreasing order.\nAnswer: 127, 40, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 37 (c) -1\/4 (d) 20 (e) -1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*q**2 + 21*q**2 - 6*q**3 + 31*q**2 as j*q**2 + b + t*q**3 + u*q and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3 - 4*u**2 + 3 + 11*u**3 + 6*u - 12*u**3. Let q = 19 - 4. Let z = 10 - q. What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxyeynkk. Give prob of sequence xken.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -40*y**3 + y. Let i be f(1). Let n(a) = -13*a**3 + 2*a**2 - 11*a + 22. Let m be n(-9). What is the tens digit of 6\/i + m\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8225 - 2212 - 6278 = 134*j - 3717 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 66*v + 178. What is z(67)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:30 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 4*f - 8.\nAnswer: 4*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p + 55. Let f = 19 + p. Calculate the remainder when (((-92)\/(-4))\/(-1))\/(-1) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 234 + 234 + 235 + l - 703. Let v(j) = -147*j - 22. Give m(v(x)).\nAnswer: -147*x - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Suppose 0*s = -s + x. Suppose -2*m = 3*g + s + 7, -2*m + 2*g + 12 = 0. Are 12\/5 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + 5*u)*(-2 + 2 + 5*u) + 2 - 2 + 2*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-2)*(-3 + (-21)\/(-6)). Solve p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 8 + u + 6*u**2 - 3*u**2 + 4*u. Let l be o(-9). Let t = 254 - l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/58*(8\/30)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 34*f**2 + 16*f + 21. Let i(d) = -45*d**2 - 16*d - 20. Let v(r) = 3*i(r) + 4*x(r). Give v(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6231911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 + 61*c + 21. Let k(s) = 2*s**2 - 17*s - 7. What is -7*k(v) - 2*m(v)?\nAnswer: -2*v**2 - 3*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50124461 (base 7) to base 11.\nAnswer: -2379167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1170682420 and 0?\nAnswer: 1170682420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 38*t**2 - 21555*t - 38121. Give u(569).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 13128*r**2 + 65703*r - 52572.\nAnswer: -3*(r - 4)*(r - 1)*(r + 4381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Let s be a(1). Let f(m) = -5*m - 3 + s - 39*m + 4. Is 15 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 8743648.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118579?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**8)\/h**(-10))\/(h\/h**(2\/9)*h**(5\/6)) assuming h is positive.\nAnswer: h**(331\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 34 - 38. Let t(i) = -z*i + 4*i + 6*i - 11 + i. List the prime factors of t(12).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181000, -180992, -180984?\n\"Answer: 8*b - 181008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/(sqrt(10)\/sqrt(2) + sqrt(5)) + (sqrt(325) - (sqrt(325) + -1)) + -2)*4)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 3*t - 44. Give g(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -151522827 <= -151522828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107747 = -16*x - 1767 - 17644. Does 132 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 453, 3645, 12319, 29217, 57081, 98653, 156675?\n\"Answer: 457*c**3 - c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 0, -8, -20, -36, -56, -80?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3376\/5 - -676. Let h*a + 4\/5*a**3 + 0 - 8\/5*a**2 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20495 by -36.\nAnswer: -20495\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times 8\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 22 = 4*w. Let s = 41 + w. Calculate the remainder when 56 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + -102 - (-6 - (5 + -13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000119372 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 0.1157.\nAnswer: -0.2843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 3484087.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 35. Find the third derivative of 58*r**s - 43*r**2 - 2*r**6 - 3*r**6 wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.044 + 0.04400017. What is j rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {y: 1, k: 6, l: 1, n: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m**2. Let j(r) be the first derivative of -r**2 - 17. What is j(n(c))?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 - 6266*o**2 + 6256*o**2 + 2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/4 + (-630)\/(-40) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*m = -959, -5*p = -5*m + 61 - 1021. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*p = 601*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 80. Are i and -1\/30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)\/j**(16\/7) assuming j is positive.\nAnswer: j**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 3. Let j be t(-3). Let p be (-1 - 15\/j)*-3. Find the third derivative of -p*y**2 - 8*y**2 + 20*y**2 - 3*y**5 wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 21. Suppose 0 = 5*n - 2*o + 5, 2*o + o = -n + s. Suppose -4*h + n + 131 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3073a (base 14) in base 3?\nAnswer: -12221001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214\/7 in -2, 2\/15, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4124 - 1058 = 14*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -3, -9, -17, -27, -39?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/(159\/(-795)). Let o(p) = p**2 + 5*p. Let v be o(-4). Sort m, 8, v in decreasing order.\nAnswer: 8, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 86. Suppose g*r - 1272 - 913 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4463 - 4450. Which is the third biggest value? (a) 2\/5 (b) -19 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l**3 - 13*l**3 - 7*l**2 - 4*l**3 + 47*l + 6. Is p(9) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*2*-6 - -4*(sqrt(84)*2)\/sqrt(12) - ((3*sqrt(252) - -1*(sqrt(28)\/sqrt(4) + sqrt(7)))*-3)**2.\nAnswer: -25200 - 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -2*k + 100 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4\/3*o**3 + 2\/3*o**4 + 0 + 0*o + 0*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f - 1. Let l(b) = -3*b**3 - 97*b**2 - 10*b - 5. Calculate -l(m) + 5*r(m).\nAnswer: -2*m**3 + 97*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*q*y + l**2*q + 1509*l**2 + 8*l*q*y - l*y - 64*q - 1 wrt q?\nAnswer: -l**2*y + l**2 + 8*l*y - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 8) + -29 + 7. Sort -2, x, -3, -5.\nAnswer: x, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + 10)\/((-3)\/(0 - 3)). Solve 3*v = 4*v + n + 5, m*v + 2*n + 13 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11442144 (base 5) in base 7?\nAnswer: -632633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 901988509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11) - (-79)\/(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7072 and 683332.\nAnswer: 5466656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*50624\/(-1356).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r + 6*r**2 - 3*r**2 + 0*r**2 - r**3 - 18 + 13*r. Let k be z(5). Calculate the highest common divisor of k and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 3 - 7 + c**2 + 0*c**2 + 3. Let g(k) = 3*k**2 - 3*k - 3. Let h be (-5)\/((-1)\/(12\/(-3))). Let p = h + 13. What is p*j(i) + 3*g(i)?\nAnswer: 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Suppose -26*f + 12*f = 28. Sort f, q, 6 in descending order.\nAnswer: 6, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -128. Let h(d) = -2*d**3 - d**2 + 9*d + 6. Is h(c) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 0 = -11*f - 117 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76727104*h**4 - 602671*h**2 - 2 wrt h?\nAnswer: 1841450496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/3 - 200\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose m = -2*n - 2*n - 77084. Let p = 424071\/22 + n. What is the common denominator of p and 55\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*r - 233784008 = 3*o, -r + 311712004 = -4*o. What is o rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234167969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 2. Let d be q(2). Suppose -m = -0 + d. Is 4*((-199)\/m + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1826 + -41994\/23. Sort 0.07, a, 1, 0.2.\nAnswer: 0.07, a, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7770 to the nearest 100.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450*f**2*g**3 + 4*f**2*g + 7*f*g**3 + 1042*f*g - 3*f wrt f?\nAnswer: -900*g**3 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 28. Which is the second smallest value? (a) -0.3 (b) q (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 685 and 1507?\nAnswer: 7535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 - 1.13. Let w = i + 1.77. Which is the nearest to -1\/3? (a) w (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 10 = 2*x, 4*x + 11 = -j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 11465 in decreasing order.\nAnswer: 11465, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 + 3*d + 12. Calculate f(-5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**3 - 2*z**2 + 11*z + 2. Let k(x) = -x**3 - x**2 - x + 1. Let t(v) = a(v) - 2*k(v). What is the second derivative of t(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 4*t - 6. Suppose 0 = -g - 4*q - 17, 22 = 4*g - 2*q - 0*q. Let z be r(g). Solve z*d - 2*u - 4 = 4*d, 3*d = -4*u + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 8\/(-2) - 0)\/(-1). Let w be -6*c*-3*3\/18. Solve -a + 6 = -w*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*w - 4 = -3*k, 2*k = 3*w + 1. Let m = -113.4 - 49.6. Let s = m + 164. Which is the second biggest value? (a) k (b) -9\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43063182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, -156, -536, -1082, -1794, -2672, -3716?\n\"Answer: -83*w**2 + 35*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20653.4 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 20 - 38)*(-2*d**2 + 2*d**2 - 2*d**2)*(9 - 3*d - 9)*(-3 + 2 - 1) in the form z*d**3 + o + l*d**2 + m*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19258 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37238 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**5\/5 - 25*h**4\/4 + 78*h**3 - 305. Find the third derivative of d(y) wrt y.\nAnswer: 48*y - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -253. Let n = -32 + s. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2641, 2635, 2619, 2587, 2533, 2451?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -418260754 * -5\nAnswer: 2091303770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s + 9 = 4*v, -4*s - 3*v + 21 = 0. Suppose -x - 5*a = s - 10, -3*a = 3*x - 9. Solve 2 = m - x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-288) + 7*(-115)\/(-80).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, 2, -1.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -550\/51397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/384 + (8\/56)\/(48\/56)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4830?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2160562894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, 1 m, and 1 j when four letters picked without replacement from {a: 1, i: 1, j: 4, m: 8, z: 1, h: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727784569.\nAnswer: 17, 19, 2253203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 7. Let x be a(-8). What is the tens digit of (-15)\/(-1) - 1 - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1796695 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 6 (c) 1\/19 (d) -0.03 (e) 2\/105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 164?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 31*y - 28. Let f be o(-30). Solve -9 = -3*a, 0 = -3*r - f*r - a + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - 5) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4155864*k*z**3 + 10*z**3 - 10*z - 12330 wrt k.\nAnswer: -4155864*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -257*w**6\/30 - 491*w**2\/2 - 67*w + 2. What is the derivative of n(z) wrt z?\nAnswer: -1028*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-2) + 5)*1. Suppose c*g + g = 57. Solve -23 = -5*h - 3*z, 5*h - z = -0*h + g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -352? (a) -17 (b) -2 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 - (-8 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32300 = 201*q - 133*q. Solve q*u - 478*u + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518 - 511. Sort -0.05, k, -0.2.\nAnswer: -0.2, -0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 3*a + 3. Let h(o) = o + 1. Let y(r) = -c(r) + 3*h(r). Let f(p) be the third derivative of -31*p**4\/24 - 146*p**2. Determine f(y(t)).\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846635 is divided by 5427.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:39 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f9472 - 1?\nAnswer: -4f9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poks when four letters picked without replacement from kpskkkoqk?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730188, -730177, -730166?\nAnswer: -730155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1281, -2121, -2961, -3801, -4641?\nAnswer: -5481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 - 3*q**2 - 2*q**2 + (1 - 1 + q)*(-2*q + 0*q + 3*q) - 2*q + 2*q**2 + 2*q + 1115*q**2 + 53 - 2177*q**2 + 1117*q**2.\nAnswer: 60*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*c + 3*s = 580*c - 9750, -2*s - 38960 = -4*c. List the prime factors of c.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*a - 45, d - 3*d - 14 = -2*a. What is the units digit of d*(3 - 69\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001875 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. What is the remainder when 34 is divided by n\/(-1) + (-16)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 9. Give y(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81278 by 6.\nAnswer: -40639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*-1*(3 + (sqrt(1900) - (1 + sqrt(1900) - sqrt(1900) - sqrt(1900))) + 3)*2)**2.\nAnswer: 3200*sqrt(19) + 121997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*k + 8 + 16, 0 = -5*g + 20. Sort -3, 3, k, 13.\nAnswer: -3, 3, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x + 18*x + 581 = -31*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. What is the third derivative of a**3 + w*a**3 + 4*a**3 - 5*a**3 + 3*a**2 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50125841 divided by 6.\nAnswer: 50125841\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4737*g**3*s**2 - 1033*g*s**2 - g*s + s**2 wrt g?\nAnswer: -28422*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-136)\/(-140) + -1)\/(2322\/(-8055)). Let r = -1\/258 + b. Which is smaller: r or 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 - 281. Let u = o + 403. Does 36 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 13*b - 7. Let q be k(-7). Let r be (5 - 17)*(-1)\/1. Let y = r - 8. Solve q = 2*p - 0 - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6*x - 2 = 3*u, -4*u + 5 = -5*x. Let f be -5*4\/(-2)*1. Let y = -5 + f. Which is the second biggest value? (a) y (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2361, 2362, 2363, 2364?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3688569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 17 - 22 = 0. Let y be 20\/8*(1 + 1). Suppose n*c + 10 = -2*z + 60, y*c - 5*z - 50 = 0. Solve c = 7*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from afagnngagak.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + 15*j**2 + 9*j + 1. Let a be r(-4). Let m = -143 - a. What is the least common multiple of m and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(6*p - 3*p - p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-183)\/(-2))\/(((-24)\/36)\/((-52)\/117))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21704664 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18664 and 1288?\nAnswer: 3004904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 - 401 - 1399*z - 401 + 1221.\nAnswer: -1399*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 6)*((-160)\/18 - (-48 + 39)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f - 2*f)*(-2*f**4 + 4*f**2 + 4*f**2 - 2*f**2).\nAnswer: 8*f**5 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkzexokexooeexzzz. What is prob of sequence oe?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5111376226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -637 - -994. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 7*z - 7*z + (-2*z - 2*z + 3*z)*(71421 - 71421 - 263*z).\nAnswer: 262*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37357?\nAnswer: 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111011101 - 1?\nAnswer: 1101111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l\/((l*l**(-15))\/l))\/((((l*l**(2\/59))\/l)\/l*l)\/(l**(-2\/19)*l)) assuming l is positive.\nAnswer: l**(17780\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 529*m - 619. Determine s(1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 380 + 118. Let i = 70 + 30. Let v = q - i. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {z: 1, x: 1, d: 2, p: 1, e: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*q + 27*q + 3 + 37 + 20*q + 25*q to the form w*q + t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from -39.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, k: 4, v: 1, x: 6}. Give prob of sequence xvx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 27787\/5, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -20, 2, 44, 112?\n\"Answer: l**3 + l**2 - 2*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001193 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*c = 0. Let l = c - 6. Calculate the least common multiple of 2 - 0 - l\/6 and 23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s = -3*w - 16, -5*s - w = -20. Let c be ((-2)\/3)\/((-4)\/18). Suppose l - 4 = b, s*l + c*b = -0*l + 23. Solve -l*u - 8 - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 6*j - 12. Let c be 4\/j + 92\/1. Calculate the common denominator of -63\/5 and ((-9)\/27)\/(4\/c).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -992 - -1711. Suppose -1425 - j = -16*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -53, -47, -27, 13, 79, 177, 313?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694063 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:31 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/4 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 614\/12 - (17071 + -17021)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h, -12*h = 4*q - 10*h - 702. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 642296 - -7?\nAnswer: 6422a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49 - 4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 12*n - 6. Let v be g(9). What is the tens digit of -30*(-4)\/((-36)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 31, 2, 8 in decreasing order.\nAnswer: 31, 8, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5 - 92*x**4 + 988*x**3 + 7004*x**2 - 44184*x - 50112 = 0. What is x?\nAnswer: -29, -8, -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124454653, 248909305, 373363957, 497818609, 622273261, 746727913?\n\"Answer: 124454652*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 11.557488?\nAnswer: -11.157488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 10402*g**3 - 24642*g**3 - 22086*g**3 - g**2.\nAnswer: -57130*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3 + 0*l - l + 1 + l**3. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 3. Let u be x(3). Suppose -u*r + 4*r = 0. Factor r*f**2 + 0 + 0*f**4 + 2\/11*f - 4\/11*f**3 + 2\/11*f**5.\nAnswer: 2*f*(f - 1)**2*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4964065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -210419 and 10114734.\nAnswer: 9904315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11425166817801 + 2.\nAnswer: 1.88574833182199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133546271.\nAnswer: 17, 409, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 929*c**3*f**2 - 191318*c**3 - 11306*f**3 - 43 with respect to f.\nAnswer: 1858*c**3*f - 33918*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -5.2.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*l**3 + 11\/3*l**2 + 2\/3*l + 0 + 7\/3*l**4.\nAnswer: l*(l + 1)**2*(7*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1905 + 50124. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 5*s - 2*s**2 + 2*s + s**2 to c + r*s + d*s**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 0*u - u - u - 1086 - 945 + 7*u + 2033.\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8836789 minus -61?\nAnswer: 61.8836789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 + 42*l + 178. Give t(-10).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 4104.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -116034*n + 580172. Give d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 2, k: 3, d: 1, j: 1}. What is prob of sequence dk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.165 + -252.835. Let u = t - -253.000367. Round u to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2493468, -2493466, -2493464, -2493462, -2493460, -2493458?\n\"Answer: 2*j - 2493470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -31. Suppose -v = -3*o + 5 + 1, -v - 3*o = -n. Let a be 2\/v*(-13 + 16). Let t(f) = 2*f**3 - 2*f**2 - f - 2. Calculate t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, 4\/3, -19.\nAnswer: -19, -2, 0, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*s - s + 2*s)*(-36*s**2 + 103*s**2 - 155*s**2) as g*s**2 + d*s + v + m*s**3 and give m.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 4*h**2 - 4. Let s(t) = 1486*t**2 - 2994*t**2 + 1499*t**2. What is l(s(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aws when three letters picked without replacement from {w: 4, n: 6, s: 1, v: 3, a: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 0, -2, 1 in decreasing order.\nAnswer: 2, 1, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 10*z + 2 = 0, 26 = l - 2*z for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b = -6. Let g be (b + -3)*(-4 + 13). Let j(y) = 3*y. Let z(x) = -13*x. Determine g*j(v) - 2*z(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j + 4*i, j + 0*j + i - 5 = 0. Suppose j*l = -7 - 13, -4*v + 208 = -l. Suppose 6 = -5*p + v. Calculate the highest common divisor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 138 = -2*k, -15*q + 5*k = -17*q + 51. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -5, -4143 in decreasing order.\nAnswer: 0, -5, -6, -4143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*d + 18*d + 1344. What is the highest common divisor of d and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 13 + -10)*(-2010)\/(-2). What is the common denominator of 43\/72 and (2\/96)\/(5 - (-5015)\/s)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.085, -2\/3 in descending order.\nAnswer: -0.085, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.061 and 13636.68.\nAnswer: 831.83748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16048?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (-5 + 1 + sqrt(2) + sqrt(2) - (sqrt(8)\/sqrt(64) - sqrt(2))))*-3.\nAnswer: -33*sqrt(2)\/4 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4316 divided by 332.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-70)\/7)*(-2 + 3). What is the remainder when ((-2)\/3)\/(2\/(-30)) is divided by ((-14)\/(-6))\/((-3)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109826 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.957 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*s - 10*s - 5*s)*(s**2 + 9*s**2 - s**2) + (-s**2 + 4*s**2 - 4*s**2)*(-3 + s + 3) to the form y*s**3 + a*s + j*s**2 + b and give y.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -57, -211, -509, -999, -1729, -2747, -4101?\n\"Answer: -8*w**3 - 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*h - 745*h + 8 - 8.\nAnswer: -1009*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 73 = -u + 4*u, 2*u = -4*s + 60. Let d = 6 + s. Let f = d + -4. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 3*h. Let t be 10\/(-3) + h\/(-3). Suppose -3*m - 2*y = 1, -5*m + 4*y + 23 = -4*m. Put -5, m, t in decreasing order.\nAnswer: m, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**2*k**4 - 34*d**2*k**3 + 2*d**2*k - 67*d*k**2 wrt k?\nAnswer: 120*d**2*k - 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/700, 2, 8 in ascending order.\nAnswer: 3\/700, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**3 + 2*y**2 - 1. Let x be (3 + 4)*-2*3\/6. Let h(l) = l**3 + 8*l**2 + 6*l - 6. Let p be h(x). Give u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755015 is divided by 167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*h - 5, -3*h + 3*k - k + 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 78267689\nAnswer: 78267694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4693 = -109*j - 131*j - 121*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*m - 7*m + 34488. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1736, 3470, 5204, 6938?\n\"Answer: 1734*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Suppose -20 = -5*x, 3*l - z*x = -x + 2. Suppose 55 = s + 3*a, 4*a = l*s - 0*s - 80. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.4. Which is the closest to v? (a) 7 (b) -1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253.359 - -254.4. Round c to two decimal places.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 7 + 6 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2333100021 - -1022?\nAnswer: 2333101103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.0265 - 0.0265. Let o = -58.703 + l. What is o rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Determine a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 29. Solve 0 = -r*l - 0 + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i**5\/7 - 20058*i**4\/7 + 198496*i**3 - 4100944*i**2\/7 + 2875104*i\/7 - 143648\/7 = 0 for i.\nAnswer: 2\/37, 1, 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*v - 208081 = -49*v + 1195*v - 4*v for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -372 + 342. Which is the third biggest value? (a) h (b) 290 (c) -2 (d) -1\/7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 19*v**4 + 3 + v + 16*v**4 to the form m*v + j*v**2 + r*v**3 + q + s*v**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15730, -1, 5, -2.\nAnswer: -15730, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 + 256. Solve 0*i = 2*n + 2*i + 2, -u*n + 16 = -4*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 4*(-21)\/(-14)*(-112)\/(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 76 = -48. Suppose 3*n + 4 - 13 = -3*y, y = -5*n + a. Let d(j) = -8*j - 24. Let o be d(-10). What is the highest common factor of o and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3\/22 (c) 1.36 (d) 1 (e) -2 (f) 2\/7 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - a - 1 - 1 = 0, -3*a = q - 14. Let m(k) = 2*k**3 + 9*k**2. Let l(n) = n**2. Determine q*m(y) - 18*l(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - q + 4. Let j = 6792 - 6789. Let c(d) be the first derivative of j*d - d**3 - 18 - 1\/2*d**2. What is -7*c(v) + 5*p(v)?\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.18 - 0.18. Let m = i - 16. Which is the smallest value? (a) 0.3 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.88, -0.1, 0.1, -0.5, -47, -0.2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1616)\/48076*(-7)\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 131*k + 31 - 104 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {b: 1, z: 1, e: 2, a: 5, d: 5, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = -3*b, 5*f - 3*b - 3 - 16 = 0. Let x = 9 - f. Suppose 5*y = -2*l - 2*l + 71, 0 = 3*y - x*l - 17. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15206?\nAnswer: 2, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 24 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) -7\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 714094013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118\/43 or -2?\nAnswer: -118\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 22*q**2 - 9*q + 3. Determine r(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 492474, 985577, 1478678, 1971777, 2464874?\n\"Answer: -l**2 + 493106*l - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -632, -2080, -4886, -9500?\n\"Answer: -75*l**3 - 4*l**2 - 3*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*8\/(-48)*9\/162*9*-20.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26924331403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/37))\/(q*q**(-21)) assuming q is positive.\nAnswer: q**(779\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 12\/5, -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 4*l + 44. Let c be l*2\/(-44) - 135\/198. Let o be (-1 + (0 - -2))\/1. Sort c, 1\/7, -2, o in decreasing order.\nAnswer: o, 1\/7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 79701.78 + -0.5?\nAnswer: 79701.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:40 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/12*319\/(-522). Let l(m) be the third derivative of -t*m**4 - 7*m**2 + 0*m + 2*m**3 + 0. What is the derivative of l(w) wrt w?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 32206671?\nAnswer: 32206671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12, -70 = -5*c - 2*h - 3*h. Let w(x) = 16 - x - 10 - c. What is the smallest common multiple of w(-13) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 169 = d, 5*d = 2*v - 81 + 8. Let r = -32592 - -782351\/24. What is the common denominator of v\/3*(30\/42 - 1) and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070946l in millilitres?\nAnswer: 70.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 8*x - 10. Suppose -6*v = -5*v + g + 4, v + 3*g + 2 = 0. Calculate the smallest common multiple of u(v) and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-26))\/(h**18*h) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (3 + sqrt(245) + -5)) + 5)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02027865677 to 5 dps.\nAnswer: -0.02028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2814 + -3.3. Let j = g - 0.0114. Put -3, -2\/5, 13, j in decreasing order.\nAnswer: 13, j, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7484193 and 0.06.\nAnswer: -449051.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**4\/6 - b. Let z(x) = -3962*x - 2 - 3849*x - 3892*x + 1 + 11799*x. What is z(o(a))?\nAnswer: 192*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-8) - (-3)\/(-2). Let m be 1\/(-2)*(3 - 2727)\/2. Let y = m - 678. Put y, q, -5, 8 in descending order.\nAnswer: 8, y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*x - 2, -2*o - o - 4 = -4*x. Solve -3*w + w = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 15*y + 40 = 17*y, -2*j - 16 = -5*y for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15\/(-6) - (49 - -1)\/(1*-4) and 1575?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 3*p - 2 = 0, 2*t = -5*p + 4. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1034031 + 3?\nAnswer: -1034023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let t(l) = -4*l + g - 2 - 3. Is t(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a - 5. Let d be s(-5). Suppose -5*o = 10, -d*k + 5*o = -k - 82. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/2 + 7*q**2\/2 + 16*q. Let f be r(4). Let c(z) = -z**3 - 4*z**2 + 3*z - 5. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -35300332?\nAnswer: 35300333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h**2 - h - 2. Let c be i(2). Suppose -c = -8*p + 32. What is the remainder when -3*p*1*(-128)\/96 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1291028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/8 + a**3\/2 - 53*a**2. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v)**(25\/3)\/(v*v**(-17\/3))**(-3\/8) assuming v is positive.\nAnswer: v**(-421\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5311 - 3433 = 399*p + 832 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72512.8 + 72513. Let u = 428 + -12413\/29. What is the second biggest value in -2, c, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 4840065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1123 - (-4)\/(-4))\/(4 + (-54)\/9). Solve z*d - 572*d = -40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.7 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*s + 31 - 12, 0 = 4*b + s - 3*s + 124 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 16*c**2 - 34*c - 25. Let q be r(18). Solve 4*u + 3 - q = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 5*g**2 + 10*g**2 + 12 + g**4 - 6 to the form d*g**3 + k*g**2 + h + f*g + c*g**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 16, v: 2}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 24, -3, 3 in increasing order.\nAnswer: -34, -3, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2237, 3496, 4755, 6014, 7273?\nAnswer: 8532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7194 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. Let r be ((-20)\/(-75))\/(n\/(-5)). Let k be 3\/6*1*10. Which is the closest to r? (a) -0.5 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 6. Let r(c) = -2*c - 7. Let j(g) = 5*g**3 - g. Let k be j(-1). Let p(m) = k*d(m) + 3*r(m). Let o(a) = -a**2 - a + 5. Let n be o(0). Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341320 divided by 341320\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -526, -515, -504, -493, -482?\n\"Answer: 11*y - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/7, -3, 104\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -25. Solve -s - 3*s + x = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/19, -7\/6, -2\/15, 72\/887?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 400*j**3 - 60 - 403*j**3 - 393*j**3 + 1194*j**3 - 4*j**2 to the form n*j**2 + f*j + d*j**3 + c + w*j**4 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1804 or 1?\nAnswer: 17\/1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1784664 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30564, 61053, 91544, 122037?\n\"Answer: m**2 + 30486*m + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 17. Suppose -40 = -4*a + 4*b, y*a - 3*b = a + 12. Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 159*a**3.\nAnswer: -a**3*(a - 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*t, 0*t = -2*h - 4*t + 68. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21399 - -1c5?\nAnswer: -211a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 1097050*t + 141486168.\nAnswer: 2*(t + 129)*(t + 548396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 19, o: 1}. Give prob of sequence oxxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683262 is divided by 1958.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 - (6 + -6). Let b be (3\/9 + p)*-3. Suppose s + b*s = 36. Solve 0 = -3*k - 3 + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = 3*o - 25, -4*b + 5*o - 53 = 0. Let x(a) be the third derivative of a**5\/60 + 5*a**4\/12 + 5*a**3\/3 + a**2 - 208*a + 1. What is x(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 49. What is the remainder when 44 is divided by 120\/25*t\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Suppose -40 = x*v - 10*v. Let l be ((-14)\/(-20))\/(9\/(-18))*-5. Are v and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 56, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 + 2*k + 3. Let u be t(-2). Let x = 238 + -233. Find the second derivative of 6*s + 5*s**x - 9*s + 3 - u wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -194 (c) -35 (d) 2 (e) -4 (f) -3 (g) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1223136 + 3669433\/3. Factor -n*l**3 - 8\/3*l - 34*l**2 + 0.\nAnswer: -l*(l + 4)*(25*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/6 - (-28444)\/24.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-24) - (-1428)\/4284)*(-3)\/(-39).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 6 = 4*i. Let z = 3556.5 - 3556. Sort 3, i, z, -5 in ascending order.\nAnswer: -5, i, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 50868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2559, 5168, 7779, 10392?\n\"Answer: c**2 + 2606*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Let j(m) be the third derivative of -1\/147*m**7 + 1\/42*m**4 - y*m**2 + 0 - 2\/105*m**6 + 0*m - 1\/210*m**5 + 0*m**3. Let j(x) = 0. What is x?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*c + 100*c = -2968 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 277*o**2 + 135*o**2 + 139*o**2 - 79*o**3.\nAnswer: -79*o**3 - 3*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 + 619. Suppose -o = 5*t - 382. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 - 3*g + 3. Let j be t(2). Let p = j + -1. Solve 0 = q + 2*q - 3*d + 27, -4*q - 5*d = p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 239, 478, 813?\n\"Answer: 48*l**2 - l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7448 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -1 - 6\/(-3). Let z(t) = t - 6. Let q be (4\/6)\/(2\/30). Let p be z(q). Solve p = -6*k + m*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 61319 + 23255 = 0. What is the greatest common divisor of g and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536896515 divided by 107379303\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.6 - -65.7. Let p = u - 19.2. Let q = p + -20.7. What is q rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 3, y: 2}. What is prob of picking 1 y and 3 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001095527926 rounded to six dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20385 (base 14) to base 11\nAnswer: -53289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(52)*1)**2 + 1.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 43, 65, 89, 115, 143, 173?\n\"Answer: x**2 + 17*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 23 = 78. Let s = 25 - q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119932?\nAnswer: 2, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1*-1)*-35*(-29)\/2030\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/3*o + 22 - 1\/3*o**2.\nAnswer: -(o - 22)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 776 - 772. Suppose -7*m = -5*m + 4*h - 72, -h - 27 = -m. What is the remainder when m is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12402187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26 - -20)*(2 + 26\/(-3)). Suppose -5*l + 26 = x + x, 4*l + 3*x - 18 = 0. Solve 3*q = -5*r + 40, 4*q = -l*r + 2*r + b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-60)\/8*2. Suppose -2*i - 1 = 4*v - 23, -g = -5*i. Suppose -4*m = 2*b - 6, 0 = 3*m + 3*b - 6*b + 9. Solve -x = -r + 2, r = -m*r + 4*x - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -29*s**2 - 2*s - 1. Determine c(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77)\/(-33)*(-12)\/(-777). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d + 11 = 0. Let v = d - 18. Let f = v + 7. Is 2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4765 is divided by 125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f*m**3 + 18*f*m**2 + 3984*f + 11*m**3 + 5*m**2 - 49*m wrt m?\nAnswer: -66*f*m + 36*f + 66*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 242324862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) 1024156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4974228*g**5 - 1625290*g**2 wrt g?\nAnswer: 298453680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((10 - 909\/90)\/(258\/215))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3) + (-23 - -27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 1 + (16 - (30 + (-51 - -26)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190108 and 0.47?\nAnswer: 89350.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41319*o**4 - 2*o**2*s + 3743184*s with respect to o.\nAnswer: -165276*o**3 - 4*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:27 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18605261?\nAnswer: 18605261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1694 and 0.4898?\nAnswer: -829.7212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = 0. Suppose m = -z - z + 628. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*i**2 + 0*i**3 + i**4 - 31*i**2 - i - 3*i**3 to the form s*i + o*i**3 + z*i**2 + n + p*i**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3077175, 6154347, 9231519, 12308691, 15385863?\n\"Answer: 3077172*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281348.8 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031553 - -0.00037?\nAnswer: -0.031183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6371 or -6053?\nAnswer: -6053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/315*-10)\/((-62)\/(-93)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406543 (base 7) in base 8?\nAnswer: 207672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45080 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 81*u**2 + 582*u - 61. Calculate the remainder when 737 is divided by d(-73).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160411968 divided by 556986\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16035 or 16024?\nAnswer: 16024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-136)\/(-36) - 6\/(-27). Solve -4*r + 12 = u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*k + 1009 = 684 - 9715 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 = 5*h, 2*s + 2 = -5*h + 4. Suppose -h*j = 3*j - 15. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 11. Let h = -6 - b. Let s be (-20)\/(-24) + 1\/(-3). Is s >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 537*m + 47. Let a be z(-8). Let i = a - -7080. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 22. Find the common denominator of ((-159)\/30)\/(2\/4) and 12\/18 + (-37)\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6547041.18 rounded to the nearest one thousand?\nAnswer: -6547000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59075 and 22525.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 72*u**2 - 148*u + 12. Let p be x(2). Let q be 0 - (-21 - 0) - 0. Solve 5*r + q = -p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((0 + 1)*-1). What is the third derivative of l - 2*l**2 + v*l**2 - l - 3*l**3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 275*f**4 - 4469*f wrt f?\nAnswer: 20*f**3 + 3300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2496 and 64?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2921721 and 67947.\nAnswer: 2921721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. What is the derivative of q**2 + 2 + 0 + c*q**2 - q**2 wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110021002 + -100?\nAnswer: 1110020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -1288, -4246, -9970, -19372, -33364, -52858, -78766?\nAnswer: -112000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6500 - -a72?\nAnswer: -564a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k*k*k)**(2\/91)\/((k*k\/k**(2\/17)*k)\/(k*k*k\/(k**(-2\/23)\/k)*k)))**(6\/5) assuming k is positive.\nAnswer: k**(93192\/35581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**4 - i**3 + i**2 + 1. Let a(j) = -85*j**4 - 5*j**3 + 5*j**2 + 14*j + 2. Let v(m) = -a(m) + 5*w(m). Find the second derivative of v(l) wrt l.\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 11*u**2 - 4*u + 9. Give a(8).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -533\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 + 10*b**2 - 11*b + 17. Let f(k) = 2*k**3 - 3*k**2 + 4*k - 6. Let g(h) = 17*f(h) + 6*o(h). Factor g(u).\nAnswer: u*(u + 2)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088331319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134404 equal to 134402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i. Let z be i\/((-3)\/(-3 + 0)). Suppose -6*v**3 - 27\/2*v**5 + 0*v**2 + 0*v + z + 18*v**4 = 0. Calculate v.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26423620259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40142 - 24297. List the prime factors of q.\nAnswer: 5, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, n: 1}. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1404280328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -94) + (-10)\/10. Suppose w + j = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1*(-2)\/(-3)). Let x be ((-6)\/(-4))\/((-15)\/(-50)). Suppose -x*c = 5*d + 20, -d - 5*c = -0*d + 24. Solve u*v - 4*g = d, -3*v - 28 = v + 2*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-10 - -4) - 3 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475*b*p*r**2 + 3*b*p*r + 2*b*r - 5*b - p*r wrt r?\nAnswer: -950*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.09 (c) -2 (d) 608 (e) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3\/4 + 5160*s**2 + 26977857*s\/4 - 6749625 = 0.\nAnswer: -5125, -1756, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-6))\/(-49)*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - -14.29. Let u = 14.00000064 - d. What is u rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -1, 29, 95, 209, 383, 629?\n\"Answer: 2*v**3 - 8*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437\/1554 + -1\/222. Which is the nearest to 0? (a) z (b) 1 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -611 greater than -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*z, -z + 522 = -3*q + 2819. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272518000 to the nearest one hundred thousand.\nAnswer: 272500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = -3*m - 36, 0 = 4*f - m + 27. Let n(z) = -z**3 - 9*z**2 - 13*z - 26. Let t be n(f). Solve -2*h - t = 2*d, d - 2*h = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68921*v**4\/3 - 70602*v**3 - 5084*v**2 - 370*v\/3 - 1.\nAnswer: -(v + 3)*(41*v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 18\/(-10)) + 3582\/10. Let z = -303 + a. What is the least common multiple of z and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 5*b - 3. Let h be f(-2). Suppose h*v - 94 = 71. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -59e?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9 + 21. Suppose 0 = 5*c - 5*o + 5, 2*c - o - 1 = 1. Suppose c*n = 4*n - 21. What is the remainder when n is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-24 + 24 + o) - o + o - o)*(-3 - 4 + 6).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 809*o**2\/3 - 3248*o\/3 - 1084.\nAnswer: (o - 813)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 1. Let a(v) = -2*v**3 - 3*v + 2. Let o = -499 + 501. Give o*u(b) + a(b).\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60023*c*r**2 + 9150212*c - 86*r wrt r.\nAnswer: -120046*c*r - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(410\/1845)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4191? (a) -2 (b) -4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81433903.\nAnswer: 81433903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 158275 - 45533 = -150*r. What is the remainder when r is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.06 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/24 + d**2. Let r(b) = 59*b + 136. Let l(g) = 59*g + 204. Let s(z) = -2*l(z) + 3*r(z). What is c(s(x))?\nAnswer: 59*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 81444250\nAnswer: -1\/40722125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**5\/60 - 7*b**3\/6 - 5*b**2\/2 + 1. Let v(k) be the second derivative of j(k). Differentiate v(u) with respect to u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/((-75)\/630*7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -2 + (-3 - -5) + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29007 and 338415.\nAnswer: 1015245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 9, -3*l = -2*y + y + 37. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2766)\/104 + 25 + -14 + -14. Let s = -119\/4 - u. Which is the nearest to 2\/3? (a) s (b) -0.4 (c) 3 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/180 and 29\/260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m + 178*m - 14 = 0. Suppose 5*d = -2*z + 3978, m*d + d - 2378 = z. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575c42 (base 14) to base 16.\nAnswer: 2d61d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 754*r**2 - r - 4. List the prime factors of i(3).\nAnswer: 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131158838*c**2 - 10744353 wrt c.\nAnswer: -262317676*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-72)*33\/(1485\/(-18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 4. What is the common denominator of -107\/12 and (2\/(-30))\/(p\/(-356))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -18*a. Let o be u(-3). Suppose 2*d = -d - o. Let p = 26 + d. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -2. Let u = z - 5.9999936. What is u rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1288000 to the nearest ten thousand.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470 - 448. Solve -5*m + b + 8 = -2*m, -2*m + l = -4*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213603*u**3 - 3*u**2 - 6*u - 618 wrt u?\nAnswer: 1281618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 464?\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2863 = -42*o + 497. What is the highest common factor of 752 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*4\/(-4)*2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97723 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 4*z)*(-5*z + 3*z + 4*z) + (56*z + 6774 - 6774)*(8*z - 16*z + 7*z)*(0 + 0 - 2).\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*3\/1. Let l be 0*(g + (-12)\/9). Suppose h - 6*h + 190 = l. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1839327\nAnswer: 11\/1839327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 0 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -1 + (-772 - -781).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -948, 19, 4, -6, 0, -5, -4 in descending order.\nAnswer: 19, 4, 0, -4, -5, -6, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 21\/2*p**2 + 0 - 3*p**3 - 1\/4*p**4 + 22*p. Let c(b) = 0. What is b?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 499809 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32821810, -32821820, -32821830, -32821840, -32821850, -32821860?\nAnswer: -32821870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2110*v. Let y(t) = 176*t. Give 6*h(l) + 75*y(l).\nAnswer: 540*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*s - 3*d, 0 = -4*s + d + 2*d + 24. Let o be (-6)\/s - (-5)\/3. Is o smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 9002961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06164, -1\/5, -569 in decreasing order.\nAnswer: -0.06164, -1\/5, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5*(-140)\/(-21). Which is the smallest value? (a) -3 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 258 = -7*k + 15*k + 2*k + 10*k, -9*k - 14*b + 10*b - 109 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*v = -54 + 1, -9 = -i - 3*v. Let t be ((-40)\/i)\/(2\/(-3)). Suppose o - 3*w = 18, o - t*w - w - 16 = 0. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1961, 1963, 1967, 1973, 1981, 1991?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 + 23 + 23 - 35 - 11.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348 - -344. Which is the nearest to 35? (a) j (b) 0 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 - 237 - 13*w**3 + 19*w**3 - 241 + 476.\nAnswer: 35*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 234390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 7 = q, -14 = -5*q + 3*o + o. Suppose -4*h + 108 = 4*g, -q*h - g - 14 = -70. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 156*b**2 + 43*b - 9. Let x be j(8). Let u = x - 3420. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -363*x**2 - 6892*x + 89. Calculate o(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 73*w**4 + 33*w**4 - 2*w**2 + w**3 + 38*w**4 to the form p*w**4 + b + f*w**3 + y*w + q*w**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14365 + 2?\nAnswer: 14367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 16) to base 4.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:41 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747284 and 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11741, -10747, -9753, -8759?\nAnswer: -7765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c + z - 163, 0 = 5*c - 4*z - 266. Suppose -7*m = -8*m + c. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.8. Which is the closest to 2? (a) -2 (b) y (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182084306 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2221111000 (base 3) to base 11\nAnswer: -3a595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.1, -1, 2\/13, 4, -0.06, -1.05?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-15))\/(2\/(-666)). Let b be (-4)\/20 - (-14)\/(-20)*-6. Suppose 0 = l + b*v + 2 - p, 0 = l + 3*v - 112. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83095, -83153, -83257, -83407, -83603, -83845, -84133?\nAnswer: -84467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 - 16*g - 12. Is t(12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38443839 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2322 = -14*o. Let s = o - 128. Solve 0 = -f + 3 + s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - 22*i + 156. Suppose 0 = -39*n + 32*n + 42. Let z be o(n). Suppose 0 = -0*j + 3*j + 3. Put -0.3, z, j in descending order.\nAnswer: -0.3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 13 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuzducky. What is prob of sequence zu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1040 - -966. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 149*q + 240. Let j be h(73). Let b(g) = 2*g**3 - 40*g**2 - 45*g + 56. Give b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 35 + 110. Suppose -18 + 3 = -5*g - s, -5*g + 5*s = f. Find the second derivative of g*d**3 + 7*d + 2*d - 7*d wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(-2 + (2*(sqrt(1300) + sqrt(1300)*4 + -2 + (sqrt(1300) - (sqrt(1300) + 2))*1))**2).\nAnswer: -32000*sqrt(13) + 2601240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 8*y + 12*y**2 to the form x + q*y**2 + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 8, -l - 39 + 55 = -n. Solve -f = 4*x - 11, -2*x = 4*f + l - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 16. Suppose 4*b - w = -u, 0*w = -b - 4*w - 21. Suppose 0 = f - 141 + 143, -h + f + 2 = 0. Sort -1, h, b in ascending order.\nAnswer: b, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r + 31*r + 16*r - 62*r + 38 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(252) + (1 + sqrt(175) + sqrt(175))**2.\nAnswer: 26*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + 2*sqrt(1100)) + (sqrt(1100) + 3 + sqrt(1100) - (sqrt(396) + -3 - sqrt(396)))**2)*3 + -2.\nAnswer: 840*sqrt(11) + 13288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**3 + f**2 + 3*f**4 + 2*f + 2 - 49*f**3 - 4*f**4 to the form n*f + x*f**4 + w + y*f**2 + b*f**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8579365.\nAnswer: 5, 1715873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50806739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21496*s - 150469. Determine r(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 18. Let x(m) = 4*m. Let h(k) = -3*k. Let r(i) = z*x(i) - 5*h(i). Let o(p) = 35*p**2. What is r(o(c))?\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - v + 2*v - 5, 10 = -5*b + 2*v. Suppose 0 = 9*a - 94 - 356. Let q = a + b. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9085140 and 48?\nAnswer: 36340560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - 116\/(-20). Let m(j) = 7*j**2 - 17*j - 3*j**2 + 0*j**2. What is the tens digit of m(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557947571, 557947574, 557947577, 557947580, 557947583?\nAnswer: 557947586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*j - 4*j + 28 = 0, 58342*m - 58345*m - 4*j = -23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q. Let r = -292 + 296. Suppose -3*h - 12 = -d + 6*d, -5*h = -r*d + 20. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 38*x + 4*c + 14845 = 0, 59399 = 4*x + 3*c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 75978*m + 2886328242.\nAnswer: (m - 75978)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/6))**(-8\/13) assuming m is positive.\nAnswer: m**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + -12 + 26)) + 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411 - -416. Is (-9)\/(135\/(-6)) + 1198\/l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*(1*sqrt(272)*2*-6 + (sqrt(272) + 0)*-6 + (sqrt(272) + -1)*-1))**2)*-2.\nAnswer: -4909646 + 7600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 7) + (2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 488537.917 and -0.3?\nAnswer: -146561.3751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 3 (c) -0.00664 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2336013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -5 (c) -12 (d) 1\/5 (e) -309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 + 11*b + 22. Let n(p) = 8*p**2 - 10*p - 23. Let o(f) = 5*l(f) + 4*n(f). Factor o(w).\nAnswer: -3*(w - 6)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -92*u + 12. Let p be r(-3). Let d = 130 + 111. Suppose 4*x + 47 = 3*b - d, p = 3*b + x. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31059751 and 2.\nAnswer: -62119502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 4\/3, -1\/7, 0, 2996?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224050510 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 25 - -6) + 2. Suppose 0*t = -5*t + 20. Solve -t*u - m = -2*s, 5 = -4*s - 5*u - 0*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 3. Let x(l) = 1. Let p(w) = t(w) - 5*x(w). Let q(z) = 2*z + 27. Let o be q(-10). Suppose -o*u = -5*u + 4. Give p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155784316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*2*(-2)\/12. Let d(m) = 2*m**2 + 5*m + 2. Let g(v) = -v**3 - 11*v**2 - 26*v - 11. What is n*g(k) - 11*d(k)?\nAnswer: 2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -735 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5043*l**2 + 11 + 5062*l**2 - 11.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 12*q - 10. Calculate the remainder when c(9) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3)\/(-12)*-6*(-1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370808 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 4?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2722, 2724, 2738, 2770, 2826?\n\"Answer: s**3 - 5*s + 2726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22)*308\/(-476).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724555, 724535, 724515, 724495?\nAnswer: 724475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 554, 1111, 1668, 2225, 2782, 3339?\n\"Answer: 557*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/3 - 356*r\/3 + 355\/3 = 0. Calculate r.\nAnswer: 1, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 2. Let t be 2\/4 + 133\/14. Suppose -t = -10*w + 740. Let p(k) = 35*k - 2 - w*k + 37*k. Give -3*p(b) + 2*r(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.3 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -224 - 1\/3*a**3 - 6*a**2 + 28*a. Calculate f(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**40)**(-2\/7)\/(l**6\/(l\/((l*l**(9\/7))\/l))))**(-1\/63) assuming l is positive.\nAnswer: l**(124\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4448, 4388, 4286, 4142, 3956?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1 + 8. Suppose 2*c - 2*r - 21 = r, -c - w*r + 15 = 0. Solve 2*p + 4 - c = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19139859 - -25.\nAnswer: -19139834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 7. Suppose 2*v - 4*t - z = 748, 2 = 2*t. Suppose -63 - v = -5*b. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i + 8 = 31*i. Let u be ((-100)\/15 + 7)\/(i\/3). Let x be 1\/(-1) + 10\/7. Is x at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 2\/11 (c) -67 (d) -5\/96 (e) -1 (f) -0.98 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/5)*o)**7\/(o**(-6\/11)*o**(4\/9)) assuming o is positive.\nAnswer: o**(5594\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/5)*x*x*x\/x**(1\/10)*(x\/(x\/x**0*x))**(-5\/11) assuming x is positive.\nAnswer: x**(171\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.2944 days to milliseconds.\nAnswer: 75452636160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216\/77 - -205\/77. What is the third biggest value in 3\/2, 1, j, 0.047, -0.1?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2543 = -25*v + 8718. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgyqgqsggqphhssggq. What is prob of sequence yhsg?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1091649 and -0.4?\nAnswer: 1091648.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -14)*33\/(-9). Let t = p - -33. Suppose t = 7*k - 2*k - 215. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*w - 24 + 15 = 0, 0 = 5*z - 4*w + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 5*m**4\/24 + m**2. Let h(c) = 4*c + 1. Let a(b) = 1. Let z(l) = -a(l) + h(l). Calculate t(z(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 15 = -p + 1, -2*p = -2*k - 2. Suppose -10 = -n - 6. Suppose 0*u = -n*u, -2*u = -3*w + 6. What is the nearest to w in -6, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565465 (base 10) in base 13?\nAnswer: 16a4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 2, s: 1, r: 3, p: 6, d: 1}. What is prob of picking 2 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2294)\/(-7905)*5 - (76\/12 + -5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-9 + -89 + 86 + (87 - 1)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x = 13*x. Let m be (-2)\/5 + (-12)\/(-5). Suppose -5*r = -53 + 18. Solve -v + m - r = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 34*i**3 - 4*i**3 + 2.\nAnswer: -38*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -14802?\nAnswer: -14802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/14090 and 83\/8870.\nAnswer: 12497830","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 16\/(-2))*(2 + 6). Suppose 0 = -v + 3*g - m, -285 = -2*v + 6*v - 5*g. Let c = v + 97. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - z)*(-2 + 2 - 2*z)*(-203*z - 2*z**2 + 204*z + 0 + 2) + 2*z**4 - 2*z**4 - 3*z**4 to the form g*z**2 + d*z**3 + n*z**4 + k + w*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -4*w. Let h(p) = -2*p**3 + 13*p**2 + 52*p - 346. Let c be h(6). Solve 4*b - 3*l = w, 3*l = b + c*l - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 16*i - 27. Let w be q(5). Let d(y) = -y**2 + 8*y - 3. What is d(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 12 + 5 - 9. Give x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7225 + 14454 + 304*c - 118*c - 7229.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 979.2783 weeks?\nAnswer: 9871125.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1353967 - 17601547\/13. Solve 0 + 2\/13*l**5 + 72\/13*l - 22\/13*l**3 + 4\/13*l**4 - s*l**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 69*o**2 + 31*o + 403. What is the thousands digit of m(45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-7)\/119)\/(1\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*c + 92149 + 71281. List the prime factors of c.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 61299420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 307678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4 - -5) + 2 + 8 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.5 (c) -967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 14 = d - 0*d, -2*d - 2*y = 2. Let a be 2 + -1 + d + -1 + 0. Factor 4\/7*g**a + 2*g**3 + 0*g + 0.\nAnswer: 2*g**2*(7*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14765\/69 - -214. Let r(g) = -2*g**2 - 40*g. Let b be r(-20). Is n > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156439333?\nAnswer: 3, 19, 29, 701, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 3*g - 3, -5*q + 11568 = -2*g + 11570 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*((-2000)\/(-275))\/5*-5\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -7959?\nAnswer: 7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7 = -s, -2*j + 0 + 5 = 3*s. Suppose -4*t = 2*h - 34, t + 5*h = s*t + 1. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28014 - -28026.707. What is y rounded to one dp?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**2 - 101*x - 2*x**3 + 105*x + 5*x**2 - 10*x**2 - 14*x**4 + 2 as o + f*x + h*x**4 + v*x**3 + j*x**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(15\/7)*n**(1\/48) assuming n is positive.\nAnswer: n**(727\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 5053*r**2 + 3856*r + 80878. Calculate h(-1264).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -3 - 9) + 14 + -12 + 42 + 46.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 - 12. Let g = m + -128.2. Let t = g + -32. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/7 + 1016*i**4\/7 + 125948*i**3\/7 - 783336*i**2\/7 + 1188882*i\/7 = 0. Calculate i.\nAnswer: -257, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*h + 5, 164*m - 78*m = 228*h + 81*m - 1111 - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 3965*z + 87 - 87.\nAnswer: -4*z**2 - 3965*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3970 - 3142. What is the lowest common multiple of 1449 and n?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 108?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let u be (-2)\/(-4) - 33\/(-22). Let o(r) = 12*r**u - 15*r**2 + 12*r**2. What is f(o(j))?\nAnswer: -81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31750?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12 - (-50)\/3. Let p = 2 + i. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 5. Let j be 20\/16*(4 - 0). Let k(a) = -a - 3. Let b(n) = j*k(n) + 3*d(n). Determine b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21777?\nAnswer: 3, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33961937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0476 - 0.3524. Sort y, 2\/33, -21, -3\/5.\nAnswer: -21, -3\/5, y, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 729*i**2 - 562*i wrt i?\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12357 and -49\/33.\nAnswer: 135927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*m**2 - 12237*m - 31239?\nAnswer: -48*m - 12237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*a = 1763 + 1016 + 2687 + 3582 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 113 (b) -1\/3 (c) 4 (d) 34\/171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46014603 is divided by 5112733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 - 2*b**2)*(0*b**3 - 4*b**3 + b**3) + (16*b**3 + 18*b**3 + 11*b**3)*(-7*b**2 + 7 - 7).\nAnswer: -309*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 168*n**3. Let j(i) = -924*i**3. Determine 5*j(h) + 28*s(h).\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.366833 and 4.\nAnswer: -69.467332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 127581. Suppose -x - 9 = 3*j, 4*x + 5*j - 12 = 9*j. Suppose -4*d + 2527 - s = x. What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.1. Let k = 2567 - 2567.1. Put m, k, 2 in decreasing order.\nAnswer: 2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.5 (c) -15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 1197689\nAnswer: -35930.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -91823732 divided by -6916?\nAnswer: 13277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1405 times -4?\nAnswer: -96.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -151421 and -0.34819.\nAnswer: -151421.34819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**3 - a**2 + 5*a. Calculate k(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 261900 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*t - 4960 - 1844. Calculate the greatest common factor of t and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*j**3 - 240*j**3 - 121*j**3 + 484*j + 2*j**4 - 2*j**4 - 2*j**4 wrt j.\nAnswer: -24*j**2 - 1752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2145, 2138, 2117, 2076, 2009, 1910, 1773?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/360 - s**4\/8 + 7*s**3\/6 - 5*s. Let y(k) be the second derivative of c(k). What is the tens digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795130?\nAnswer: 2, 5, 7, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8332534 divided by -1190362.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from vvzzvzzzzvzzzzzzzz?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 77076.\nAnswer: 847836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2336, 2037, 1746, 1463, 1188, 921, 662?\n\"Answer: 4*y**2 - 311*y + 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-1) + -2 - -2. Let q = -24 + j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1191 divided by 1.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g + 1. List the prime factors of k(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-343)\/63) - 2\/7. Suppose -2*o = -6, y + y + x = 5*o. Suppose 11*m - 8*m = -2*l + y, -l + 14 = 5*m. Sort -9, l, -2 in descending order.\nAnswer: l, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6744.415 grams in micrograms?\nAnswer: 6744415000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*b**2 - 4 + 5 + 507*b**2 + 511*b**2 - 1527*b**2 - 312*b in the form n + d*b + j*b**2 and give d.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 15.8. Let a = 16 - 14. Suppose o - 4 = a*s - 2*o, 3*s = 2*o - 1. What is the nearest to 2\/7 in m, s, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -12, -43 in decreasing order.\nAnswer: 3, 1, -12, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 114?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1807 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/(-328))\/((-6)\/384)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*f**3 + 13*f**2 - 25*f - 2 wrt f.\nAnswer: 1824*f + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1083*d**3\/4 - 41686*d**2 + 17555*d\/12 - 77\/6 = 0. Calculate d.\nAnswer: -154, 1\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*o**3*p + 79*f**3*o**2*p - 10*f**3*o + 2*o**2*p - 7*o*p + o wrt o.\nAnswer: 12*f**3*o*p + 158*f**3*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*u - 642*u + 41258 = -247*u - 12005 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 16 = 12*c. Find the second derivative of -16*z**2 - 2*z**c - 9*z + 7*z**2 wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-3)\/4). Let g be -2 + ((-148)\/v)\/(-2). Let r be (-4)\/g - (-4)\/(-14). Is 0 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 1, 68 in increasing order.\nAnswer: 1, 68, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d451 - -7?\nAnswer: -1d44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*(-9 - -39). Let l be (-3)\/(-24) - v\/40. Let c be (2 - 0) + (1 - -2). Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/7 + 110*o**2\/7 + 428*o - 13616\/7 = 0.\nAnswer: -23, 4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -269, 162, 1625, 4618, 9639?\nAnswer: 17186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2. Let n(k) = -4*k**2 + 151*k - 1. Calculate n(f(d)).\nAnswer: -16*d**4 - 302*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 bigger than 33866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 9*b - 15. Let j be x(-11). Calculate the greatest common factor of j and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.4 + 53. Let x = 48 + -49.8. Sort d, x, -4\/5 in descending order.\nAnswer: d, -4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (108\/42)\/(-9) - 3608\/14. Let x = z - -583. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(1 + 9 + 3)*(2*a**2 - 4*a**2 + a**2).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 1, -3, 118 in descending order.\nAnswer: 118, 102, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190))\/sqrt(10) + sqrt(513)\/sqrt(3).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 5. Let f = g + 5. Suppose 3*o = -4 + 7. Sort o, f, -2\/7 in descending order.\nAnswer: o, f, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/42*(-32)\/(-16)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**4)\/(v**(-3\/4)*v))**(-2\/11) assuming v is positive.\nAnswer: v**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**7\/420 - 7*p**6\/240 - p**5\/20 - 23*p**2\/2 + 6*p - 3. Let m(y) be the first derivative of o(y). Factor m(g).\nAnswer: -g**2*(g + 1)*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 8. Let s be v(8). Let o(l) = -5 + 5*l + s + 4. Suppose 5*x - 6 = t, t = -2*x + 2 - 1. What is o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 42. Let k = n + 53. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -0.7, -350\/9 in descending order.\nAnswer: 0.4, -0.7, -4, -350\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u + 20, -x - 4*u - 75 = 0. Let y be 0 + 2 + 26*2. Let n = y + x. Which is smaller: n or -23\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 84.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.2 + -0.2. Let r = j + -6. Which is the third smallest value? (a) 2\/3 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3\/4*o**2 - 14 - 3\/8*o**4 - 3\/4*o**3 - 3\/40*o**5 + 6*o. Let x(t) be the first derivative of q(t). Factor x(w).\nAnswer: -3*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wggg when four letters picked without replacement from {g: 7, w: 12}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1641929697?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66a (base 12) to base 15.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -352?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 521023 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: Suppose 0*i = 2*i - 2. Let r be (-2)\/4*i*0. Suppose 2*v + t - 3 = 0, t - 2 - 1 = 0. Solve h + r*h - 1 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(((r*r\/r**(1\/7))\/r*r)\/r)))\/r)\/r**(8\/3))**(-19))**(-29) assuming r is positive.\nAnswer: r**(-32509\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -68?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let o be (9\/2)\/(f\/(-4)). Let t = o + 17. What is the highest common divisor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4144980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htthqhhtqrt. What is prob of picking 1 q, 2 t, and 1 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29331 * -1\nAnswer: 29331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 3 + (2 - 1). Let l(h) be the third derivative of -1\/30*h**5 + 1\/120*h**z - 1\/3*h**3 + 0*h + 4*h**2 + 1\/6*h**4 + 0. Give l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 725 + -403. What is the lowest common multiple of t and 115?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -4342*s**2 + 3450*s - 7181. Differentiate x(n) wrt n.\nAnswer: -8684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679062?\nAnswer: 2, 3, 113177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 120 - 219 + 110 - 5*j to the form d + h*j + w*j**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5622.39 and -0.3?\nAnswer: 5622.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624712 is divided by 1208236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(6\/2) + 38. Suppose -3*x - 4*w + 33 = 0, 0 = -5*x + w - 4 + a. Let c(z) = z - 2. Does 4 divide c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 29*r - 6. Let f(v) = -27*v + 6. What is 6*f(n) + 5*o(n)?\nAnswer: -17*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g**(-3))\/g)\/g)**38*(g*g**(-1\/4)\/g*g)**(-31) assuming g is positive.\nAnswer: g**(-549\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22935732 and -90482.\nAnswer: 22845250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 + 7 = 0. Let s = 43\/3 + p. Find b, given that 2\/3*b**2 + 2\/3 + s*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 56*b**2 - 135*b - 392. What are the prime factors of z(67)?\nAnswer: 2, 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1542750 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23100 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000122 (base 3) to base 11.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 132\/10*10\/4. Let f = c - -12. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = -2*k - 4*i, -2*i - 2 = 0. Suppose k = -4*x + 4*b + 36 + 72, x = 5*b + 11. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13338542.\nAnswer: 2, 7, 952753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -58, 0, 5 in increasing order.\nAnswer: -58, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7305 is divided by 111?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*t - 1810*t - 2716*t to w + c*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5469745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 2*c**2)*(-2*c + c + 3*c) - 2*c**3 + 3*c**3 + c**3 + 68*c**3 - 17*c**3 + 18*c**3 - c**2.\nAnswer: 75*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9971 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 620a - 6a?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in 2\/21, 1, -1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i**6 + 1\/12*i**4 - 4*i**2 + 0*i**3 + 0 + 0*i**7 + 0*i**5 + 0*i - 1\/336*i**8. What is the second derivative of a(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 45 = 0, -5*x - 733*b + 736*b = 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4212*b + 243*b**2 + 2105*b + 2107*b + 571*b**2.\nAnswer: 814*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:28 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q - 50. Suppose 197*o - 191*o - 12 = 24. Calculate i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109788?\nAnswer: 2, 41, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.821 less than -12?\nAnswer: -2.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962548 and 229732.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -59. Suppose -28*y + 23*y - f = 0. Let s be (3\/(-15)*y)\/(2\/6). Solve -2*h + s*h = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4\/4 - 4*g**3\/3 - 2*g**2 - 6*g + 11. Determine y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*y + 24, 2*y + 5*m = -2*y - 26. Let f = -4 - y. Solve -4*b + 4 - 20 = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 456.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by -4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 34. Let n(h) = h**3 + 4*h**2 - 2*h - 3. Let q be n(-2). Calculate the greatest common divisor of f and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9723*a**6*b - 106*a**2*b - 38*a**2 wrt a.\nAnswer: 1166760*a**3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**3 - 3*p**3 + 7*p**3 + (-2*p + 2*p + 2*p**2)*(0 + p + 0))*(0*p**2 - 2*p**2 + 3*p**2).\nAnswer: 17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 301, 299, 297, 295, 293, 291?\n\"Answer: -2*g + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -75, 15\/4, 112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13)**(13\/3)*(y**(1\/10)\/y*y)**(-14) assuming y is positive.\nAnswer: y**(824\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 769*u - 760*u + 95 = 2*q, 2*u + 217 = 5*q for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1222*v**2 + 596*v**2 + 5*v + 625*v**2 + 13. Determine h(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**7*b))\/b*b)\/b**3)**(18\/11)\/((b**1*b)**(-35))**(1\/33) assuming b is positive.\nAnswer: b**(232\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -38\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294 - 341 + 357)*(-4 + 4 + b**3) - 5 + 5 + b**3.\nAnswer: -277*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqf when three letters picked without replacement from fsqqpsccclpc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 7. Let t(z) be the third derivative of -z**3\/6 + 926*z**2. Give -5*d(v) + 35*t(v).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 20 = -0*c. Calculate the smallest common multiple of c and (456\/60)\/(-19) - 152\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43486, -87175, -130866, -174559, -218254?\n\"Answer: -g**2 - 43686*g + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5626 + -5622. Let q = 11 - 7. Suppose 165 = 5*t + q*u, 5*u - 143 = -a*t - 11. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -84. Let w = j - -477. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 95.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228825 or 228823?\nAnswer: 228823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 6*d**2 - 3*d - 6. Calculate l(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381602 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -103. Put 2, p, 4 in increasing order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4)\/(-24)*10. Let h(w) = -w**2 + 5*w + 5. Give h(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510721301?\nAnswer: 3, 41, 257, 47791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-14)\/(-6). Suppose 2*r = -3*r + 10. Suppose -r*j = -4*m - 8, 0 = 4*j - 0*j - 16. Solve q - a*u - 10 = m, -5*q - 2*u = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x + 3. Put x, -4, -5 in ascending order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 49 - 14 = 0. Suppose -9*p + 345 = -12*p + 5*f, -f - 547 = b*p. Is p <= -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 11) + (54 - 49).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 482 - 6?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748.09 - 4.\nAnswer: -752.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 + 3*c + 40. What are the prime factors of d(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1416 and 1701000?\nAnswer: 100359000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuououvuovouuvo. What is prob of sequence uoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -328*q**2 + 6*q + 6. Let y(d) = 118737*d**2 - 2171*d - 2171. What is 2171*x(p) + 6*y(p)?\nAnswer: 334*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 65*21\/(-6)*28\/245\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143281861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1 - 9*z - 2 + 2 + 4. Give c(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25 + -12.25. Let x = w + 15. Which is the fourth smallest value? (a) 2 (b) 2\/19 (c) x (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 3227 = -3*a + 4405 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and (-125)\/5*(-6 - 9216\/80)?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -74. Let q be (0 + 1)\/((v\/10)\/13). Let r(a) = -3*a**3 - 2*a**2 + a + 2. Calculate r(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/5*q**2 - 39\/5 - 8*q + 1\/5*q**4 + 8*q**3.\nAnswer: (q - 1)*(q + 1)**2*(q + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v\/(v*(v\/(v*v**(-1\/7)))\/v*v)*(v\/v**(-6))\/(v\/(((v**8\/v)\/v*v)\/v)))**(-8\/5) assuming v is positive.\nAnswer: v**(-256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:47 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*h + 47 = 4*h, -o - 4*h + 27 = 0. Calculate the remainder when 57 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqp when three letters picked without replacement from vvdvpvvqvvqqjhvdh.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2014 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81687545 and 46915?\nAnswer: 898562995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 5, 262, 3\/4, 31, -4 in ascending order.\nAnswer: -4, 0.23, 3\/4, 5, 31, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 + -196. Suppose 4*o = 5*v + o - 47, 4*v + 3*o = 43. What is the least common multiple of h and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40101 is divided by 1001?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 14*a + 9*a**2 - 36*a - 6*a**4 + 52*a as l + s*a**4 + h*a**2 + w*a + d*a**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25 from -21.896329913.\nAnswer: 3.103670087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 90*n**2 - 18419*n + 488. Calculate c(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001011101100011010110001 + 1?\nAnswer: -11000001011101100011010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 + 24*x**2 - 32*x. Let b(l) = -10*l**3 - 72*l**2 + 97*l. Let r(o) = 4*b(o) + 11*w(o). Suppose r(d) = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - 29855\nAnswer: -29853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 6*l**2 + 6*l + 7. Let i be q(7). Suppose -x - 4*x - 20 = i. Which is the closest to -1? (a) 3 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -39*j + 195. Let t(w) = 1. What is q(g) - 195*t(g)?\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**3 + 13*a**2 - 11*a + 6. Give h(5).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10 and 3\/(-12)*(-1036)\/49.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-3 - sqrt(209))\/(-4*sqrt(539) - sqrt(539)) + 0.\nAnswer: 4*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1648*d - 6609. Let g be m(-8). Calculate the highest common divisor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911024871.\nAnswer: 7, 273003553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:42 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3154835 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.67 - -8.67. Let h be 36\/(-20) + 2 + -1. What is the nearest to i in -0.3, -0.7, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-28))\/(1\/(-12)*33\/44). What is the third smallest value in -13, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - 1?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19244, 38467, 57690?\n\"Answer: 19223*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16716*s - 11591*s + 8838*s.\nAnswer: -19469*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 4*d**2 + 2*d - 6. Let f be l(4). Suppose o - 10 = r - f*o, -5*r = -2*o - 2. Is (-6)\/r - -3 - -631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375384142.\nAnswer: 2, 7, 79, 191, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 1624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.6. Let w = 215.18 + -215.18. What is the nearest to 1\/2 in 4, -8, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z. Let d(a) = 2*a**2 + 5*a + 22. Let h be d(-8). Let j(m) = -59 + 59 + h*m. Determine -2*j(q) + 45*k(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 - 14 = 0. Suppose 0 = 3*y - w - 23, b*y - w - 8 - 6 = 0. What is the units digit of -3*(1 - 87\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18794917 + 1369*h - 18794917. Let u(m) = 2*m**2. Calculate o(u(y)).\nAnswer: 2738*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 471 + 3*m**3 + 472 + 5*m**2 + 5*m. Determine p(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 7707*i + 3362052.\nAnswer: 3*(i - 2012)*(i - 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357678451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49074521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*k - 136200 = -10*k + 304226. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1159a5 - -1?\nAnswer: 1159a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 2*u + 14 + 10*u - 5*u to the form q + d*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*n + 6 - 40 = 0, -5 = -5*f - 2*n. Let g be ((-3)\/6)\/(4\/16). Let a = g + 5. Solve -2*l + 8*t - 4 = 4*t, 3*l = f*t - a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 1, t: 2, j: 1, l: 1, d: 2}. What is prob of sequence kt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklkkplp. Give prob of sequence pp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 14 - (-2 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6264, -1, -2, 0 in ascending order.\nAnswer: -2, -1, 0, 6264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-2))\/(3\/(-117)). Let j = 120 + b. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5, 4*u - 2854 + 398 = -4*d. Let q = d + -7283\/12. Find the common denominator of (-40)\/(-160)*200\/44 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 13 = -10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjfgcsg. What is prob of picking 1 s, 1 c, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {f: 1, n: 9, e: 4, c: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/98975?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(77)\/sqrt(7))*-2)**2 + sqrt(88)\/(3*sqrt(8)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.6 - 12. Let g be (3\/(-2) + 2)\/(-2). Sort v, g, 3 in decreasing order.\nAnswer: 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184011*a - 183984*a - 3 + 3.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 - c - 2. Let w(t) = 510*t**2 + 40*t + 80. Let b(h) = -40*n(h) - w(h). Let j(z) = -4*z + 6*z - 3*z. Calculate b(j(q)).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 4\/((-2)\/1). Suppose 22 + 0 = t*l. Let m = 42 - 39. What is the least common multiple of m and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r)\/(r\/(r*r**(-23\/4)*r))*(r*r**22)**(-6\/11) assuming r is positive.\nAnswer: r**(-277\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.002 and -4.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -150*n + 2700. What is y(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 23 = -k, -r + 5 = -2*r. Let p be (-25 + 21)\/(3\/((-90)\/4)). Solve -25 = -2*j + k*d, -j + p = -5*d - 0*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 1 - 3*w**2 - w + 0. Let i(d) = -9 + 0*d - 6*d + 8*d**2 + 3. Let z = -13 - -19. What is z*o(u) - i(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 1078?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -211232?\nAnswer: -211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 21*p = -35, -4*s - 29*p + 34 = -26*p for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - -24 - -19 - 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*1\/(1 - 0). Let v be (-3)\/(6\/9 + -1). Let o = n + v. Solve k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 76, 10, -1\/4, -0.1, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*z**4 - 94 wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11754881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.49 - 0.49. What is the fourth smallest value in -0.5, 0.2, n, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211110232 (base 4) in base 9?\nAnswer: -252634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 - 4*u**2 - 3*u**3 - 6*u + u**3 to f*u + y*u**3 + i + n*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*c - c - 2, 4*c - 8 = 0. Determine w so that 36 - 79 - w**v + 42 - 2*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2454251, 4908519, 7362787, 9817055, 12271323, 14725591?\nAnswer: 17179859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -699455000 rounded to the nearest 1000000?\nAnswer: -699000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -547 + 548. Which is greater: -6\/841 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-2\/17)*n*n**(5\/2)\/n*n\/(((n*n**(-6))\/n)\/n*n))\/((n**1)**30)**(-37\/3) assuming n is positive.\nAnswer: n**(12907\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613, 6602, 22877, 54586, 106877?\nAnswer: 184898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28361 - 28296. Which is the nearest to -0.3? (a) -3 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076545550 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*k = -0*k - 15, -4*k = 3*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 132. Suppose -3*r + 14 = 4*r. Suppose -12 = r*b - 34. Calculate the greatest common divisor of b and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -420 - -7142\/17. Let p be (-6)\/(-8)*(-36)\/225. Let m = 99\/200 + p. What is the nearest to 1 in -4, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 85. Let y = 46 + r. Let l be 6\/(-10) - (0 + -1). What is the second smallest value in l, 4, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 19. Let x(v) = 2*v - 39. Let j(p) = 9*l(p) - 4*x(p). What is j(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*p = -10, 3943*p = -4*y + 3947*p - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 3a?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 bigger than -213492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*-1 + 3. Suppose -4*l + 4 = -0*m + m, 2*l - 2*m - 12 = 0. Do h and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -27 (b) 0.3 (c) -3 (d) -4\/7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737896?\nAnswer: 2, 92237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 651405 and -3.7?\nAnswer: 651408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6442405892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/(9\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.9635 + -35. Let g = -0.5425 - b. Let q = g - -0.036. Round q to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 + 2245*p - 390 - 380 + 1175.\nAnswer: 2245*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15) + sqrt(45)\/(sqrt(6)\/sqrt(2)) + sqrt(15)))\/(-2*sqrt(243) + 5*sqrt(3)*-1).\nAnswer: 3*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 154*d**2 - 76*d**2 - 80*d**2. Let p(z) = 3*z**2. Calculate p(c(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/39 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 7\/240*k**5 + 0*k + 1\/240*k**6 + 0*k**3 + 1\/32*k**4 + 0 - 59*k**2. Factor v(f).\nAnswer: f*(f + 3)*(2*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811, 1406, 2001, 2596, 3191?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6372 - -73?\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2. Let m(u) = -676*u + 1. Determine z(m(p)).\nAnswer: 1370928*p**2 - 4056*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 214, 352, 528, 754, 1042, 1404?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -1\/30, -2, -12\/11?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 16. Let w(j) = 3 - u*j + j - 4 + j**2. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 8727 - 8979 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 0.4 (c) -271.6 (d) 2\/9 (e) 3 (f) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 + 2*d - 6. Let y be m(-5). Is -17 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, 0.4, -152?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3773 - -3823755171\nAnswer: 3823758944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3085 + -3087)*2\/(-220)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/3*(-390)\/80\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.4 - 4. Let g = -2.4 + v. Let p = g - 5. Which is the smallest value? (a) p (b) 3\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333b (base 12) to base 9\nAnswer: -7682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.2 + 9. Let q = -0.6 - b. What is the nearest to 2\/3 in 0, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(144\/(-6))*6\/4\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*k**2 - 237*k + 237*k + (-k - k + 0*k)*(5 + 2*k - 5) as j*k + u + i*k**2 and give i.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -26 - (-13 - -11)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 634776335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77571 and 378.\nAnswer: 1085994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/6*(-20)\/6. Suppose -o*h = -10, 3*c - 4*h + 18 - 1 = 0. Let t(q) = 6*q**2 + 6*q**2 - 11*q**2 + q + 2 - 5. Determine t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 94*p**2 + 95*p + 187. What is o(-93)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278\/(-1946)*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -370.436 and -0.3.\nAnswer: 111.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*i - 17, 0*i - 4*i + 13 = -3*v. Which is the closest to i? (a) 4 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l. Suppose 2*d - 3*f - 17 = 0, l = d + d - f - 11. Suppose -28 = -d*p - 4*m, 0*p = p - 4*m + 18. Solve p*u = 6*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0206910229 to four decimal places.\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37617.43kg in micrograms?\nAnswer: 37617430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/3 <= -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 254\/345 + -8\/115. What is the closest to -1\/8 in 124, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*375\/50*(-3)\/60.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 40683 (c) -0.2 (d) -1505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*p + 1814*p = 77*p - 57148 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1369, -2 in increasing order.\nAnswer: -32, -2, 1369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3 = r + 4*t, 5*t = -2*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 45*u. Let s(o) = 98*o + 22. Let v(r) = 32*r + 1. Let b(f) = s(f) - 3*v(f). Determine b(c(w)).\nAnswer: 90*w + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63956.25 micrometers?\nAnswer: 0.06395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-10) + -1*(-4)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716460 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -2) + 5 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*-3*3. Let z(m) = 0 + c*m - 6 + 5. Calculate z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995364167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (10 - 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*(-55)\/11 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u, 0*r + 5*r - 25 = 3*u. Let z be (-20)\/(-15)*r\/20. Find v such that 2\/3*v**2 - 1\/3*v - 2\/3*v**4 + z*v**5 + 0*v**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111\/4 - -55\/2. Let q = -5.4 + 5. What is the nearest to -2 in u, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by ((-40)\/(-8) + 55\/(-10))*-76?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**3 - 6*s**3 + 2*s**4)*((-2*s + 0*s - 2*s)*(2 + 3 - 1) - 3*s + 4*s + s).\nAnswer: -28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (488 - 488 + 331*a**2)*(3 + 2 - 7)*(a**3 + a**3 + 0*a**3).\nAnswer: -1324*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37813384 divided by -5401912.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3046 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.393 - -1.393. Let o = -3 - -18\/5. Which is the nearest to -7\/3? (a) o (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 8. Suppose -8*d = -0 - g. Solve -d*z - 3*z = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20655 + 20655. Solve 3*d - 39 = -2*j - 20, w = -3*j - d + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) - 1*sqrt(3630) - sqrt(3630))*-5)\/((sqrt(90) + sqrt(90)*1)\/sqrt(9) + sqrt(810)*-1)*1.\nAnswer: -55*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -22. Solve d*b - 37 = -1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -22745, 1\/5, 0, -1\/2, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -4*b + 186, 3*b + j = 137. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 10*w**4 - 5*w**4 + w**4 + w**4 + 2*w**4 + (6 - 1 - 4)*(5*w**4 - 3*w**4 + 0*w**4) + 0*w**4 + 8*w**4 - 3*w**4 - 2*w**4 - 2*w**4 + 3*w**4.\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6668\/(-28) - 1) + -1. Let y = 243 + k. What is the common denominator of y and 85\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 - 3856*t**3 + 3903*t**3.\nAnswer: 47*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/((-2)\/10). Let h(x) = 5*x**2 + x + 1. Let c be h(-1). Let k be ((-3)\/(c - 2))\/j. What is the third smallest value in 0.4, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, r: 3, j: 3, s: 2}. Give prob of sequence qrsj.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 - 616*v**4 + 23084*v**3 + 49288*v**2 - 23088*v - 48672 = 0 for v.\nAnswer: -2, -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-2)\/(-1). Let y be j - (176\/42 - -2). Let x = 27\/7 + y. Which is the closest to -2\/7? (a) 0.1 (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, 63, 0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100725482.4 rounded to the nearest ten thousand?\nAnswer: -100730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*j + 28*j - 5*t - 21, 4*j = t + 105. Solve -275*p - j = -271*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186881, 186893, 186917, 186953, 187001, 187061, 187133?\n\"Answer: 6*f**2 - 6*f + 186881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4 - 13*g - 4. Let c(b) = 2*b + 6*b - 14*b + 6*b - b. Give k(c(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12))) + -2)**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 24*t + 12*t - 63*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 5*m. Suppose -4*u + 2*x + 26 = 0, 0 = -2*u + 2*x + 3*x + 25. Solve -i - 24 = -2*l + m*l, 0 = -3*l + u*i + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6995 + -0.661. Round o to 2 dps.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.99 + 29.89. Suppose 25 + 3 = -4*u + 4*k, 17 = -u + 3*k. Let o be (6\/4 + u)\/1. What is the nearest to -2 in 0.1, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29118098791 + 0.3?\nAnswer: -29118098790.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208533432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/841 - (1 - (-9284)\/(-58)). Calculate the greatest common divisor of f and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2 + 1367*f - 1602. Determine t(-153).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*p + 2*p - 54, 12 = 4*g. Suppose 5*a = -o + 3, 3 + 12 = 5*o - 3*a. Let c(f) = -12 - f**o - 11*f**2 + 12*f - 13 + 23. What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -282, -273, -244, -183, -78, 83, 312, 621?\n\"Answer: 2*x**3 - 2*x**2 + x - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*u + 45, -6*o + o - 3*u - 5 = 0. Is (-6)\/(-4) + (-370)\/o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/55)\/k*k*k\/k**(-13) assuming k is positive.\nAnswer: k**(772\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128576, -128524, -128472, -128420, -128368, -128316?\nAnswer: -128264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14*n**2 - 22*n + 3. Let s(r) = 31*r**2 + 41*r - 8. Calculate 6*s(z) + 14*w(z).\nAnswer: -10*z**2 - 62*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -288 in -2\/3, 0.3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -e102b2 (base 16) to base 8\nAnswer: -70201262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 + 1.9. What is the second biggest value in -0.07, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3282383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/44*-18*11\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 17867?\nAnswer: -1786.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 0. Let c(j) = -8*j - 1. Let g be 16\/(-24)*(-6)\/(-4). Let h be c(g). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*((q\/(q**2\/q))\/q)\/q))**(38\/3)\/((q\/(q*(q\/(q\/(q**(-4\/3)\/q)))\/q*q))\/(q**31*q)))**(4\/7) assuming q is positive.\nAnswer: q**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y + 1. Let h be u(5). Let v be 1\/(3\/(-6)*h). Let b(a) = 3*a + 4. Let f(g) = -g - 2. What is v*b(o) - 5*f(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 29*k - 38. What is p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -92442?\nAnswer: 22186.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/7 (b) 0.3 (c) -42 (d) -353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -1.12. Which is the third biggest value? (a) 0.3 (b) -2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 6*m**2 - 16*m - 2. Determine i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/7 (c) -0.2 (d) 299 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33131\/4 + -8282. Put 1, c, 7, 0.03, -1\/4 in increasing order.\nAnswer: -1\/4, 0.03, c, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021011 - -101?\nAnswer: -3020310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let o be y(-3). Let x be 3\/6 - (-81)\/o. Let l = -10 + x. What is the nearest to -1\/4 in 6\/7, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*h**2 + 815*h**2 - 1625*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 43, 5\/4, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28773, 28778, 28783, 28788?\n\"Answer: 5*z + 28768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/7*6*(-4)\/8 + 673 + -672.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211749 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 37.058. Let x = -0.0580002 - d. Round x to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111111221120 (base 3) to base 15\nAnswer: 53c66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 9. Let j(w) = -w**3 + 3*w**2 - 1. Let t be j(o). Solve 3*v - 7*n + 3*n + 8 = 0, -13 = t*v - 5*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -4*a - 5*o, 0 = a - o + 20*o - 106 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/91 + (-52)\/14. Let d(v) = -5*v**3 + 10*v**2 + 15*v - 8. Let y(o) = -3*o**3 + 5*o**2 + 8*o - 4. Let m(h) = 4*d(h) - 7*y(h). Determine m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 608\/6 + (-12)\/(-18). Let i(t) = -t**3 + 9*t**2 - 17*t - 8. Let u be i(4). Suppose 10*s - u*s - j = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 2. Let u(z) = 33 + 3*z - 3*z**2 - 33 - z**3. Calculate the remainder when s(-4) is divided by u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5444, -1\/273 in decreasing order.\nAnswer: -1\/273, -26, -5444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {a: 7, k: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 51*w**2 - 21*w + 21. Let y(p) = -4 - p + 2 + 3*p - 5*p**2. Let z(f) = -2*d(f) - 21*y(f). Let h(r) = -3*r - 25 - 26 + 51 + 2*r. Give h(z(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0. Let s = 1.2 + k. Suppose -139*f + 141*f = 0. Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112719.6834 rounded to zero decimal places?\nAnswer: -112720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 15*s**2 + 10*s + 2. Is v(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489896?\nAnswer: 2, 311237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - k + 2. Let v be b(-2). Suppose 10 - 30 = -v*q. Suppose -q*g + 247 = 4*p - 201, 4 = g. What is the remainder when p is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/3 - 8\/4. Suppose -n = -2*o - 28, 0*n - n + h = 0. What is the tens digit of (o\/3)\/(8\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11034458, 22068914, 33103370?\n\"Answer: 11034456*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*x - 312*x - 253*x - 648*x + x**2 + (-4*x + 3*x + 0*x)*(-1 + 5*x + 1).\nAnswer: -4*x**2 - 1372*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o + 2. Suppose -2*a - 6 = -5*a. Let d(t) = -5*t**2 + 6*t + 10. Let f(p) = a*d(p) - 11*q(p). What is f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 10. Let y be o(-4). Solve -2 - y = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -225, -991, -2615, -5415?\nAnswer: -9709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*z + 46*z**3 + 2028*z - 1015*z.\nAnswer: 46*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4631 - -0.1.\nAnswer: -4630.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194165 is divided by 3554.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247 - 495 - 190)*(3*c - 6*c + 2*c + 2*c - 5*c + c + 1 - 1 - c + (0 + 0 - 1)*(-3*c + 3*c - 2*c) + 2*c - c - 3*c - 3*c + 4*c - 3*c + 2*c + 2*c - 3*c).\nAnswer: 4660*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -15. Suppose 0*a - a - 12 = -2*r, 0 = -w*r - 5*a - 4. What is the second derivative of -2*v**2 + v - r*v**2 - 15*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158779 and 3379?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -156*g**5 - 234*g**3 - g**2\/2 + 982. What is the third derivative of h(t) wrt t?\nAnswer: -18720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 3*b**2 - 2. Let d(x) = x**2 + 6*x + 6. Let w(h) = h**2 + 5*h + 5. Let q(z) = -4*d(z) + 5*w(z). Give -2*q(t) - v(t).\nAnswer: -2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2043 (base 9) to base 11.\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - (-6)\/(-21). Suppose -3*c + 5*t = t - 34, -t - 11 = -2*c. Determine x, given that -2\/3*x**5 + 4\/3*x**c + 0 - 4\/3*x**4 + 2\/3*x + v*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 1. Suppose 5*n - 55 = -3*j - 19, y = 4*n - 3*j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 3\/497, -0.4, -2\/3, -1, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -3, 1 in ascending order.\nAnswer: -250, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.01 + 2.01. What is the closest to 0.1 in q, -4, 51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725103333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.03, -2\/7 in decreasing order.\nAnswer: 2, -0.03, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-9)*65)\/((-391)\/(-51)) - -1. Which is the third smallest value? (a) -2 (b) 0.04 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-3456*c**2 + 1723*c**2 + 2021*c**2).\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, p: 3, e: 1, w: 1, v: 1, k: 1}. What is prob of picking 1 w and 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1848 - 4586 - 11635 - 1387 - 2863)*(-g - g + g + 0 - g + 0 - 4*g + g + 5*g + 3*g - 4*g + 2*g + (0 - 1 - 1)*(-3*g + 2*g - g) + 0*g - 2*g + 0*g).\nAnswer: -55869*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/293830740 and -97\/1399194.\nAnswer: 293830740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/60 and 121\/71952900?\nAnswer: 71952900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x - 1. Let g be t(2). Which is greater: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 134305609 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 286, 639, 992?\n\"Answer: 353*r - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*a - 3*q - 124, 4*q - 87 = -a. Suppose -4*f + 3*f = -264. Calculate the remainder when f is divided by a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2823614, 5647258, 8470902, 11294546, 14118190?\n\"Answer: 2823644*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/11, 7\/6, -3, 5?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o*o*o*o**(-8)))**(2\/33) assuming o is positive.\nAnswer: o**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 14*y**3 - 19614 + 9792 + 9822.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -5.1. Let k = -0.02 - -4.02. Let r = k + -5. What is the third smallest value in 1\/3, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 150495*n + 16160210 = 0. Calculate n.\nAnswer: -30206, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -23. Suppose 0 = j + 4*v - 23, 5*j - 3*v + v - 27 = m. Suppose -j*b + 0*b = -14. Sort b, 1, -3 in increasing order.\nAnswer: -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 17. Suppose 0*h = 7*h - 98. Calculate the remainder when f + (5 - 13) + 52 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 4)*(-16)\/5. Let s = 49 + d. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -33. Let y be 2\/(-8) - (-172363)\/(-68). Let x be (156\/y)\/(2\/5). What is the second smallest value in x, b, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/3 + 122*k**2 + 120*k - 728\/3 = 0. Calculate k.\nAnswer: -182, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ololll. What is prob of picking 1 l and 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**5*q*q**(-10))**(-4))**32 assuming q is positive.\nAnswer: q**1664","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/855172 and -7\/352.\nAnswer: 75255136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*b - 216*b - 84 + 119*b - 219 - 508.\nAnswer: 25*b - 811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r + 18. Suppose -3*f - b = 17, -8*f + 4*f - 2*b - 24 = 0. Is r bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g)\/g**(1\/4)*g*g**(-2\/5)*g**(-2\/11) assuming g is positive.\nAnswer: g**(1359\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 3. Let r be l(6). Let y be (r*1)\/(69\/(-46)). Suppose 164 + 6814 = y*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3100 by -5.\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 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: What are the prime factors of 2082?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5019 divided by -1.\nAnswer: 5019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 + 2*p**2 - 1. Let a be s(1). Let z be ((-4)\/a)\/((-2)\/(-25)). Suppose z*l = 5*l + 80. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.65 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6\/(l**(-9\/2)\/l) assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -336 (base 16) to base 15\nAnswer: -39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 61. Suppose -5*f = w*f + 16. Let m(g) = -g**2 - g - 5. Let a be m(0). Sort a, 6, f.\nAnswer: a, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 6*l - 3451. Let r = l + -480. Calculate the remainder when 282 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.83366 + -63.93. Round m to 3 dps.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -11\/6, -15, -0.3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(2736) - (sqrt(2736)*-1 + -5 + sqrt(2736)))**2 - (sqrt(95)*2*2)\/(sqrt(60)\/sqrt(3)).\nAnswer: -170*sqrt(19) + 2785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -3, -3\/5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - z - 14 = 0, 3*z = u + u - 14. What is the least common multiple of 9 - (-3 - (1 - 3)) and 12\/(-42) + 51\/u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -77606, -155422, -233238, -311054?\n\"Answer: -77816*r + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + z = -63, n - z = -6*z + 42. Suppose 3*f - 2 = -n. Which is the nearest to f? (a) 2\/11 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 5*l**2 + l - 6. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 11 - 4. Let o = 1 - y. What is the units digit of 27\/6 + 2\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(-7 - (-2769)\/390). Let q(b) = b**2 - 9*b - 29. Give q(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 2. Let x be f(3). Let n = -2.7 + 1. Let j = n - -2. Which is the nearest to 2? (a) j (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o + 93*o = -2*a + 24, 7*o - 2*a - 24 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let r(j) = 10*j - 8. Let y(s) = 8*c(s) - r(s). Let l be y(2). Sort l, -3, 2, 1.\nAnswer: l, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 799767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/(sqrt(363)*2))\/((sqrt(84)*4*6)\/sqrt(12)) + 0)*-2.\nAnswer: -sqrt(7)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -5.05. Let t = 1 - 0.8. What is the closest to -1 in n, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17676?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 - 4*r**2 - 6*r - 2. Let a be b(-1). Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 9*n + 13. Let b be s(-10). Let i be (-2 - -3)\/((-3)\/(-6)). Solve 3*r = -i*m + 4, -4*r = b*m + r - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*a + 4*a**2 - 28*a + (3*a - a + a)*(-95 + 2*a + 95))*(-4*a**3 + 3*a**3 + 0*a**3).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 6319996.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18.0000116. 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: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {m: 3, a: 5, k: 8, p: 2, b: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13))**(3\/4)\/(v*v**(-1))**(-7\/8) assuming v is positive.\nAnswer: v**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -7. Let m = -16 - 9. Which is the nearest to j? (a) m (b) 1\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-10 - (-12 + 8)) + (9 - 10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*u + 93 = 0, 22687*b - 5*u - 52 = 22684*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6406 + -6294. Solve -136 = 6*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5197058 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/11 + 2 - (-20)\/(-110). Let h(v) = -4*v + 17. Give h(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 567930. Let q(o) = -3*o. What is q(x(a))?\nAnswer: -3*a - 1703790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -192160784.5 rounded to the nearest one hundred thousand?\nAnswer: -192200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4537*t + 18740 = 156*t - 108309 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -640.998615 + 641. What is l rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/5, 4\/9, -1\/6, -19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1 - 2*o**2 - 1. Suppose -187*v = -181*v - 36. Let z(n) = -v*n**2 + 6*n**2 - n**2 + 4*n**2. Calculate z(l(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 13. Let n = 4 - l. Solve -3 = 3*y - 2*v + n, v + 3 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70392908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = 0, 2*m + 4*g = 6*g - 4312. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.4789 milligrams in kilograms?\nAnswer: 0.0005494789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 + 3. Let r be n(0). Let s(k) = 15*k - 3. Let c be s(r). Calculate the greatest common factor of c and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4035 + -4030. Let d = -3 + 4. What is the nearest to 1 in d, x, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 2*j**2 - 2*j + 2. Let c(q) = -50*q**3 + 35*q**2 + 35*q - 35. Calculate -6*c(z) - 105*s(z).\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -8. Let w(c) = -4*c**3 + 3*c**2 - 5*c + 5. Let l(v) = -5*v**3 + 4*v**2 - 6*v + 6. Determine m*w(i) + 3*l(i).\nAnswer: i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2\/5*r**3 - 2\/25*r**5 + 0*r**2 - 36 - 1\/5*r**4 + 0*r. Factor v(y).\nAnswer: -2*y**2*(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + -51 - (1 + 4)) + (0 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**3 + 4*o**3 - o**3 - 3*o**3.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*c + 8673 + 27531 = 0 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13*w\/(w**(-7)*w*w*w))**(-36)*(w**(-1\/12)*((w\/(w\/(w*w*w**(2\/27))))\/w)\/w*w)**(1\/35) assuming w is positive.\nAnswer: w**(-2449333\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (10 - (3 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(19) - ((sqrt(19) + ((sqrt(19) + -2 - sqrt(19))*3 - sqrt(19)))**2 - sqrt(19))))*5.\nAnswer: -50*sqrt(19) + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 982211.6 days?\nAnswer: 84863082240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3059 + -3054. Let k be 2\/(-4)*2\/4. What is the closest to k in -0.3, t, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622404607.\nAnswer: 11, 67, 844511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -53, -82, -109, -134, -157, -178?\n\"Answer: x**2 - 34*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-148)\/(-18) + 2\/(-9))\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (34\/9 - 16\/(-72)). Factor 2*s**3 + s**2 + 4*s**3 - 4*s**b + 0*s**3 - 5*s**3.\nAnswer: s**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-1)))\/j)\/j**(-5))\/(j**(1\/3)\/j)**(-1\/20))**(2\/15) assuming j is positive.\nAnswer: j**(149\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 at most as big as 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -73, -65?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (4*2\/24)\/(3\/117).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Suppose 122*k - 119*k = 6. Let o be (6\/(-4))\/(1\/(-2)). Let r(s) = -o - 1 + 1. Determine k*v(z) - r(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -192634.\nAnswer: 1\/192634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 24 = -4*h. Suppose -200 = -11*t + h*t. Suppose -2*v - 3*v = -t. Calculate the greatest common divisor of v and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595\/(2 - 7)*(-3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((16\/(-12))\/((-4)\/9))\/(-5). Let t = 158 + -154. What is the second biggest value in -0.3, 12, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, d: 1, m: 1, x: 1}. What is prob of sequence sn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-212)\/(-636)*-6*(-18)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from dwddw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 19. Suppose 0 = 2*s + p*c - 24, s - 15 = -c + 2. Calculate the smallest common multiple of s and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 19125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 75*i**2 + 1\/8*i**4 - 1\/2*i**3 - 1\/20*i**5 + 1\/120*i**6 + 0*i + 0. What is l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {j: 1, q: 3, f: 4, b: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 13*k**2 + 9*k + 7. Let f(m) = m**3 + 12*m**2 + 8*m + 6. Let y(d) = 6*f(d) - 5*z(d). Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 3) in base 9?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5770, 16727, 27684, 38641, 49598, 60555?\n\"Answer: 10957*t - 5187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 6. Let d(x) = 2. Let p(i) = -1. Let r(l) = 2. Let y(c) = -3*p(c) - r(c). Let q(v) = -3*d(v) + 5*y(v). Determine -6*q(g) + w(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/216 and 79\/189.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3 - 59*s**2 - 46*s + 1. Let x be l(-20). Solve 0 = x*j + 3*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3 - 3*d**2\/2 - 2*d - 1. Let x be (-35)\/(4 + -9) + 2. Let w = 7 - x. Give n(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q - 20 = 0. Let o = 5 - 5.3. Let z = 68 - 202\/3. What is the closest to z in 0, q, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4729, -9462, -14201, -18946, -23697, -28454?\nAnswer: -33217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 8419*i**2\/3 + 243280*i\/3 + 83900.\nAnswer: (i - 8390)*(i - 30)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3648 and 1984.\nAnswer: 113088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {c: 1, k: 7, q: 1, w: 4}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*i - 584 + 489*i + 586 to f*i + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*z**2 + 4)*(1 + 6 - 2)*(4 - 1 - 2).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2403 + -2403 + 26 + (0 - (1 - 2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -502.4 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 2. Let v(s) = 72*s**2 + 45. Let p(a) = -29*a**2 - 18. Let g(l) = -12*p(l) - 5*v(l). Suppose -5*n + 9*n = 8. Determine n*g(o) - 9*z(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (-15)\/(-2))*(-1 + -31). Suppose 174*f = 176*f - c. Solve 2*a - 5*k = f, 0 = a - 2*k - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -2*k - 16 = -5*h, 2*k - b*k = 4*h + 1. Let l be 2*k*(-2)\/4. Solve 2 = 5*r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*i**3 - 2*i**2 + 134*i - 42632.\nAnswer: -339*i**2 - 4*i + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 220*y = 3374 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 - 5*f. Let x be g(5). Suppose x = s + 2 - 4. Differentiate -k + k - s*k + 3*k - 3 wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169519460 rounded to the nearest 100000?\nAnswer: 2169500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287291.\nAnswer: 287291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3549 and -19\/6084?\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2426750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1847*o + 21*o**2 - 8*o**2 - 14*o**2 - 1668*o + 0*o**2.\nAnswer: -o**2 + 179*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 5*h + h**2 + 0*h - 3*h in the form x*h**2 + i + n*h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9740 = -29*m + 22*m. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -0.1, -2\/3, 5, -1\/4.\nAnswer: -2\/3, -1\/4, -0.1, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 8. Let u be h(-6). Let a(g) = 30*g**2 + 30*g**u - 58*g**2. Let t(q) = -3*q. Give a(t(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = o + 3*h - 81, -2*h + 2 = 0. Suppose 4*t + 3*p = 49, 2*p = t - 2*p - 36. Calculate the highest common factor of t and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1872)*-3 - sqrt(1872))**2.\nAnswer: -149760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -465641 and -451?\nAnswer: 210004091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23650435.0000106 + -23650445. Let b = 10 + j. What is b rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -100437.\nAnswer: -100441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5885 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113250 + 2?\nAnswer: -113244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*h = -307*h + 495 - 3750 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 83\/24*v**4 + 0*v**5 - 11\/120*v**6 + 0*v + 0 + 166*v**2 - 1\/3*v**3 + 2\/105*v**7. What is the second derivative of k(z) wrt z?\nAnswer: 48*z**2 - 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31348, -31345, -31342, -31339, -31336, -31333?\n\"Answer: 3*q - 31351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 + 1, 5*v = 5*z. Is (-784)\/(-20) - v\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1942*x**3 - 2620*x**2 - 40134*x - 92?\nAnswer: 11652*x - 5240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8103.269 + 8125. Let p = m - -0.269. Which is smaller: 1\/5 or p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 905920 divided by -1192\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-10437*540\/(-39690).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24423612 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w*w**(7\/5))*w*w))\/w**(2\/11))**25 assuming w is positive.\nAnswer: w**(335\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaaaaafaaffl. Give prob of picking 1 a, 1 f, and 1 l.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 9 = 20*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/26712 and -31\/3570?\nAnswer: 2270520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 33 = 2*z, -3*z - 3*z = -3*k - 15 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 20. Let t be x(5). Suppose 5*i - 4*p - 27937 = 0, -t*p - 15 = -0*p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 833 + -831. Sort o, 0, -290 in increasing order.\nAnswer: -290, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 43. Let j = -6 + 8. Suppose -z*i - 14 = -2*m, -2*m + 5*i = -16 + j. Solve 0 = -m*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 - 0.03.\nAnswer: -210.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053169 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 59. Does 2 divide a(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6\/5 (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*j - 23, 2*a - 5*j = -0*a + 58. Differentiate a - 3*v**3 + 36 - 70 wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -60*h**5 - 85*h**4 - 25*h + 25. Let x(j) = -5*j**5 - 7*j**4 - 2*j + 2. Let f(y) = -2*m(y) + 25*x(y). Factor f(s).\nAnswer: -5*s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46743 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad554 + 9a?\nAnswer: -ad498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (64 - (38 - 16) - (12 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**4 - 2*f**3 + 9*f**2 - 6*f - 2. Let z(j) = -6*j**4 - 3*j**3 + 9*j**2 - 6*j - 3. Let w(p) = 3*i(p) - 2*z(p). Determine x, given that w(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*j + 102. Solve -j = -6*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -f + 76, 3*f + 7*s = 2*s + 168. Let b be (-4 + -1)*68\/(-10). Suppose 0 = -2*z - 0*z + b. Calculate the remainder when f is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + i)*(-181*i - 27*i + 3*i) + (i - 3*i + 3*i)*(4 - 4 + 2*i).\nAnswer: -203*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 2*m - 4 - 5. Calculate c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1119+-20\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19829 + -12439. What is u rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2 + 2)*(-62*p**4 - 13*p**4 + 5*p**4).\nAnswer: -70*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/4 - a**4\/12 + a**2\/2 + a. Let g be ((-2)\/(-4))\/((-1)\/2). Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 21 = g, -3*s - 3*g - 5 = 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*y + 27*y + 15. Let l(b) = -b**2 - 6*b + 2*b + 2*b**3 - 8*b**y + 3*b. Determine l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h - 91. Let r be (-2)\/10 - (0 + (-2)\/10). Let j be c(r). Let t = j - -354. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzy when three letters picked without replacement from ceeyyyyyzqzy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3*g + g)*(-3 - 2*g + 3)*(-23*g**2 + 207 - 207) - 3*g**3 + 3*g**3 + g**4 to the form b*g**4 + j + t*g**2 + k*g**3 + c*g and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 39.195306 microseconds?\nAnswer: 0.000000000453649375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217822 + 290894 + 8*k - 93602 + 216878.\nAnswer: 8*k + 631992","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and -0.583.\nAnswer: -36.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767 + 12*t - 377 - 2*t - 390.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g**2. Let f(b) = 60*b**2 + 291*b + 2. Let r(l) = 181*l**2 + 776*l + 5. Let o(m) = 8*f(m) - 3*r(m). Give q(o(y)).\nAnswer: 91287*y**4 - 2898*y**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/(2\/(-36)). Suppose 2*i - d*i + 164 = 0. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + o**3 + o**3 - 18*o**3 - 2 as j + b*o + z*o**2 + g*o**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 37\/4*l**4 + 3 - 11*l**3 + 0*l**2 + 0*l. What is the third derivative of h(q) wrt q?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.0439 decades to months.\nAnswer: 84485.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 81*q - 27*q)*((2*q - 2*q - 2*q)*(-4*q + 3*q + 3*q) - 15*q**2 + 40*q**2 - 20*q**2).\nAnswer: -93*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 + 635\/15 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*q**2 - 826 wrt q.\nAnswer: 482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -268\/5940393 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*-6*(-3*sqrt(147) + 4))**2*-5 + 0 + -3.\nAnswer: -3856323 + 483840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkmkmmkmmm. Give prob of picking 2 k and 2 m.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, 10, 2\/27, -2\/5?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 944\/5, -3, -452\/7, -1\/4 in descending order.\nAnswer: 944\/5, -1\/4, -3, -452\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*y + 613 - 613. Solve y = m + 78 - 76 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-156) + (-171)\/(-741)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5515.4652 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11614822 smaller than -11614816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccczczccccvckk. What is prob of sequence kz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 12992*m**2 + 272819*m\/7 + 363764\/7.\nAnswer: (m - 90941)*(m - 4)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2, 14, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 468 = 13*x. Let w be (-6)\/10 - x\/(-60). Suppose n + 4*p = 38, 5*n - w*p - 44 = 4*n. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*y - 20, w + 2*w = y - 8. Which is greater: w or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 608 * 0.01.\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 6. Let l be h(-4). Let k be l\/(3\/((-9)\/6)). Let o = 12.4 - 12.5. Is k not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 2*t**2 + t**2. Let u(p) = -122 + 122 - 5*p. What is u(c(x))?\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*h - 159*h + 5637 + 33 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + 46 + 27 + 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101526?\nAnswer: 2, 3, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -81 and 4.03991.\nAnswer: -76.96009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 + 1938*g\/5 - 17604\/5 = 0 for g.\nAnswer: -978, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 76*k**2 - 5*k - 8. Let g be q(-5). Let p = -1083 + g. Suppose 3*x = 4*d + 625, -x + 5*x - p = 5*d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -2*d, 3*d - 11 = 4. Let s(u) = -u**3 + 3*u**2 - u. Let o be s(t). Suppose o*h = -0*h + 26. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -464, -891, -1262, -1559, -1764, -1859, -1826, -1647?\n\"Answer: 3*n**3 + 10*n**2 - 478*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.94 + -0.06. What is the biggest value in -3, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.132 + 0.1320084. Round p to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-2\/43))**(-17\/3)*n*n**(2\/7)*n*n*n*n**(-1\/8)*(n*n**(-2))**47 assuming n is positive.\nAnswer: n**(-307567\/7224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4551 bigger than -4561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let a(n) = n**2 - 2*n - 3. Suppose 0*r = 5*r + 20. Let k(q) = r*l(q) + 4*a(q). Solve k(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlaaleaxhxhexhaxa. Give prob of sequence lle.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**2*n)\/n)*n)**(1\/4)\/(n*n**3)**39)**(-25) assuming n is positive.\nAnswer: n**3900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/26)\/((-350)\/(-9100))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.435331l?\nAnswer: 6435.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 + 2*i**3 + i**2 - 5*i - 6. Calculate q(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**3 + 7*p**2 + 5*p - 8. What is the tens digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*-1*sqrt(84) + 5*(sqrt(84) + sqrt(84) + sqrt(84)*-2))\/(5*(sqrt(588) - 1*sqrt(588)*4 - sqrt(588))))**2.\nAnswer: 9\/700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -627 + -936341?\nAnswer: -936968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4287, -4273, -4259?\n\"Answer: 14*j - 4301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = 17. Suppose 0 = -5*t + z + 61. Suppose -4*y + t = -18. Solve -4*d + 10 = -y*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522900 divided by 770?\nAnswer: 9770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -3.17. Which is greater: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54401827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2570 - -2595. What is the highest common divisor of p and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + r**4\/2 - r**3 + 7*r**2\/2 + 2*r. Calculate p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8500*h**5\/9 - 238700*h**4\/9 + 2139980*h**3\/9 - 6097684*h**2\/9 + 487312*h\/3 + 28880 = 0. Calculate h.\nAnswer: -2\/17, 2\/5, 5, 57\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 32 = 8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 0*g. Let t(r) = -r - 2*r + 2*r**2 + g*r. Let o(k) = -k**2. Determine o(t(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 185. Suppose -i + 5 = 0, -s + o*s + 13 = 2*i. Sort -6, s, -4 in increasing order.\nAnswer: -6, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/90 + 10*b**4\/27 - 7*b**3\/9 - 2*b + 792. Find m such that y(m) = 0.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*a**4 + 73*a**4 + 6 - 2*a - 145*a**4 wrt a.\nAnswer: 16*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7767)\/(-3) - 1)\/2?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 97, 139, 207, 307, 445, 627, 859?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i. Let w(p) = -6601*p**2. Calculate w(u(t)).\nAnswer: -165025*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.143 + 0.247. Let q = f + 2.896. What is the closest to q in 2\/15, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-1)\/2)*4. Suppose -24 = -5*v + l. Suppose 3*r - v = r. Let u(t) = -t**3 + 4*t**2 - t - 3. Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -102544 + 102544 - 6231*m in the form z + r*m and give r.\nAnswer: -6231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 40*k**2 - 24*k + 24. Let i(v) = v - 1. What is -d(p) - 24*i(p)?\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572702 and 1287?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-101)\/(1\/(-3) + 13\/(-78)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 85284780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, a: 1, d: 3, v: 3, s: 1, e: 3}. What is prob of sequence dese?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 950, 939, 914, 869, 798?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/743 - 10408\/2229. Which is smaller: -1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*q - 140 = 0, 60 + 80 = 5*n + 5*q. What is the tens digit of (n\/4 - -37) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, 502, 1179, 1856, 2533?\nAnswer: 3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 2*f + 4*f + 6 + (f + 9*f - 3*f)*(-6 + 2 + 2).\nAnswer: -13*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*-34\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i\/i**(3\/8))\/i*i)))\/i**(-1\/6)*(i**(-1))**24 assuming i is positive.\nAnswer: i**(-533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 306, 610, 912, 1212, 1510, 1806, 2100?\n\"Answer: -v**2 + 307*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*t. Let w be ((-12)\/(-4) - 0) + t. Is 3 - (w - 66) - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/5 (c) -32 (d) -7 (e) 2\/9 (f) -137 (g) 1\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 30*c - 4. Let u be k(-10). Let q be (-3)\/(-12) + (55\/u)\/(-5). Solve 5*p - 8 = -q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2716 = 4*h - 4*a, 0 = -4*h - 2*a + 1725 + 991. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 19*z = -21*z + 6, -3*b + 3*z + 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 8*b - 91. Let m be (10\/(-2) - 0) + (-10 + 18 - 9). What is l(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(13) + 1)*-4)**2 + sqrt(13) - 2*(sqrt(13) + -1)**2) + 3 + (-5 + -2*sqrt(208))**2)*-5.\nAnswer: -5265 - 585*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2*(-3)\/(-6). Suppose j*l + 135 = -3*l. Let o = l - -108. 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: (0 - -1) + 3 - (3 - (9 - 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from kpppppkbbpppmpdmk?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 45 = 4*s + 40 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 8:37 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -37 (c) -0.3 (d) -18\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 343370*y. Let z(o) = 104*o**2. Determine z(u(k)).\nAnswer: 12261907517600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/5, 1\/11 in increasing order.\nAnswer: 1\/11, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 7482384.\nAnswer: 29929536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - d**3 - 3*d**3)*(-4 + 2 - 1 + (-2 + 4 - 3)*(-3 + 0 + 2)).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = z + 7*d - 8, 2*d + 31 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -0*v. Let c = -0.19 + 0.2. Let p = 0.39 + c. What is the third smallest value in p, v, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:59 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -73*k - 2. Let m be q(-5). Let x be (-12)\/(-42) - m\/21. Calculate the common denominator of -149\/18 and (x\/(-85))\/(72\/(-310)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose 0*u - 2 = -u. Let n be 0\/(9\/3) + u. Solve -q + 11 - n = 3*b, i*q = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 10*z + 9512*z**3 - 8*z.\nAnswer: 9512*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -25*i**3 + 8*i + 5. Let j(s) = 13*s**3 - 4*s - 2. Let q(y) = -2*g(y) - 5*j(y). Find the second derivative of q(l) wrt l.\nAnswer: -90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184448863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17128*n + 8635*n + 8492*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2407*l - 515. Is s(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 164 = 5*p + 155 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4370 or -39340\/9?\nAnswer: -39340\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 3. Let w(u) = -u**2 - 3*u - 1. Let l be w(-3). Sort h, l, -5 in ascending order.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c + 6. Let l(b) = 3*b**3 + 39. Let h be l(0). Let s(n) = h*n + 34*n + 36*n - 116*n - 7. What is -5*o(p) - 4*s(p)?\nAnswer: -7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/30)\/((-80)\/(-800))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*s - 21, -3*s - 37*h = -32*h - 25. Let j(x) = -2*x + 4*x**3 - 5*x**3 + 10*x**2 + 3*x + 10. Let a be j(s). Is 21 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/102 and 115\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - v**2 + 3 - 3 + v**2 + (-2 + 2 - 2*v)*(-2*v + 6*v - 10*v) + 6*v**2 - 14*v**2 - 12*v**2 as o*v**2 + h + b*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9060397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/((-1)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zuzqzun.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2659, 2667, 2673, 2677, 2679?\n\"Answer: -d**2 + 11*d + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + ((-62)\/217 - 347\/(-63)). What is the third smallest value in 1\/9, -2\/3, 2\/37, b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14283 and 499932?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 536*r**2. Let f(t) = -49*t**2 + 8*t - 24. Let o(a) = -31*a**2 + 5*a - 15. Let g(q) = -5*f(q) + 8*o(q). Give g(p(v)).\nAnswer: -861888*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 - 4950*i**2 - 468288*i - 11183616 = 0 for i.\nAnswer: -4854, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m = -49*m + 521 + 127. Put m, 0, 5, 202, 1 in descending order.\nAnswer: 202, 5, m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*15\/6 + -2 - 510. Let c = d - -790. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39192 is divided by 365?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 1390080.\nAnswer: 1390080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from qqlmmnlqlmqqnlm?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k - 707*y + 14144 = -94*k, 3*k - 72 = -3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {o: 4, b: 4, u: 1, e: 3, r: 2, p: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20145.2 and -12.4.\nAnswer: 249800.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u**4 - 2\/65*u**5 + 0*u**2 - 2\/13*u + 4\/39*u**3 + 4. Factor a(c).\nAnswer: -2*(c - 1)**2*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2*x - 1. Let d be h(3). Let c(u) = 35*u + 7. Let p(g) = 104*g + 20. Let f(z) = 17*c(z) - 6*p(z). Is f(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 13. Let w(f) = -f - 7. Give 2*q(p) - 5*w(p).\nAnswer: p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3294527432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 - 4 = 0. Let f be 3\/(4\/(-6) + (-85)\/(-102)). Suppose 56 = -4*d + f*d. Calculate the smallest common multiple of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-2436)\/21)*-204\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = k. Suppose 0 = -7*u - 11 + 25. Suppose -s + 61 = -u*p, k*p - 37 = -s - p. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178 + 649?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259636?\nAnswer: 2, 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.9. Let x = -13 + 13. Let d = x - 4. What is the smallest value in 0.1, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1 (b) -11 (c) -0.05 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11171 is divided by 287?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((736\/621)\/16)\/(4\/(1*(-9)\/3))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157744683.\nAnswer: 3, 17, 43, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) 2 (c) 3020 (d) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + (-2 - (-207)\/108). Let f be (-4 - (-387)\/108)*6\/20. Which is the closest to 1? (a) 26 (b) f (c) 0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397591?\nAnswer: 3397591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/306*4*2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.89 - 0.06. Let t = -53.05 + o. Let i = 58 + t. Sort -4, i, -4\/5.\nAnswer: -4, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001 (base 2) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -32\/799845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13915807 is divided by 10416?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w**2 + w**2)*(403 + 142 + 193)*(-6*w + 0*w + 4*w)*(4 + 6*w - 4).\nAnswer: -35424*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26927.68g to nanograms.\nAnswer: 26927680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 187*y**2 - 9*y + 2. Let v(p) = -83*p**2 + 4*p - 1. Let t(o) = 4*s(o) + 9*v(o). Let g(w) = 5*w**2 + 6*w - 2. Give -g(k) + 3*t(k).\nAnswer: -2*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 6}. What is prob of sequence ssaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*j = -262 + 244, -5*y - 20 = 3*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704, -1699, -1706, -1731, -1780?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90.44 - 0.56. Let d = 78 - z. Let g = d - 168.99999754. Round g to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 83*o - 66. Let n(c) = 162*c - 129. Determine 9*m(q) - 5*n(q).\nAnswer: -63*q + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/3))**(2\/39)*(m\/m**9)**22)**(-2\/63) assuming m is positive.\nAnswer: m**(41168\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1287321 + 1287321 - 2345*w)*(-2 - 1 + 0 - 4) to m*w + k and give m.\nAnswer: 16415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*o + 60. Suppose -26*g = 25*g - 3672. What is the remainder when g is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*y**2 + y + y + 29*y**2 - 57*y**2 - 21 - 5*y**4 wrt y?\nAnswer: -20*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -19*d + 14*d - 11, -k + 1 = 2*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**2 + 11*r - 48. Let g(p) = 6*p**2 - 6*p + 25. Calculate -11*g(a) - 6*m(a).\nAnswer: -6*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 6*k**7\/35 + 7*k**5\/12 + 15*k**2 - 26. Let o(m) be the second derivative of y(m). Find the third derivative of o(i) wrt i.\nAnswer: 864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.45 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(125).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -64433 (base 13) to base 4\nAnswer: -230022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -88, -138, -196?\n\"Answer: -4*c**2 - 30*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxorgx. Give prob of picking 1 o, 2 x, and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.30210628868 + 150250.72830371132. Let x = o - 150250. Let p = x - 1.03. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 1)*(3*i - 6*i - i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238 - 3088\/13. Suppose -q - 1 = -0. Is p at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -10)\/((-6)\/72). Suppose 0 = -t + 5*t - s. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3\/4)*f)**(-28)*(f**(2\/5)\/f)**(-2\/79))**(-6\/11))**(-1\/8) assuming f is positive.\nAnswer: f**(-41457\/17380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 + 183. What is the tens digit of 2375\/4 - b\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 21 - 4)*(-1409*k + 2922*k - 1257*k)*(0 + 0 - 2) in the form o + n*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3635072 or -3635142?\nAnswer: -3635072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*k - 2*k = 4, -i + k = 0. Suppose 0*b - i*b = -12. Suppose 4*z - b*z - 47 = 0. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06806 + -0.35064. What is x rounded to 2 dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 5*x**3\/2 - 15*x**2\/2 + 3*x. Let l(b) = 7*b - 7. Let y(h) = -6*d(h) + 13*l(h). Let n be 1\/2 + 72\/16. What is y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 100281?\nAnswer: -902529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1596 (b) -4\/29 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -750\/11. Let f = -344474 - -344472. What is the nearest to f in -3\/7, 2\/19, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2614*w*y**3 - 980*w*y**2 + 3*w*y - 7*w + 38293*y**3 - 5*y + 8 wrt y?\nAnswer: 15684*w + 229758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfuxvy. Give prob of sequence vyf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 28. Let k be ((-7)\/h)\/((-1)\/(-2)). Put 5, k, 4 in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -357051?\nAnswer: -357066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Suppose 3*l - 3*d = -15, 2*l + 22 = v*d + 2*d. Are 2\/9 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18)*w**(-1)*w*(w\/(((w**(-36)\/w)\/w)\/w)*w)\/(w*w**(6\/19)) assuming w is positive.\nAnswer: w**(412\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119515791 and 6106.\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**3\/3 - r**2\/2 + 2*r - 2. Let l be m(2). Let p = -6 + l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291*u**3*z**4 + u**3*z**3 + u**3 + 3*u**2*z**2 - 74*z**2 wrt z.\nAnswer: 6984*u**3*z + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -28, 0.49?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18201234 - 287982.\nAnswer: -18489216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (207\/345)\/(14\/10)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, 0.4, -0.5 in ascending order.\nAnswer: -0.5, 0.4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 121?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 12:54 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1741760594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 61\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 + ((-16)\/(-4) - -1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -61521?\nAnswer: 61525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -67.5?\nAnswer: 78.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6055794*x**2*y - x**2 - x*y + 168*x + y - 31551 wrt y.\nAnswer: -6055794*x**2 - x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -0. Suppose -18 = -5*f - 43. What is the second biggest value in f, 1, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*r - 20, -4*l + 8*l - 32 = 4*r. Let k = 2 - 5. Sort -1, k, r in ascending order.\nAnswer: r, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 9. Let w be r(-6). Calculate the greatest common factor of 147 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-6) - 57\/5. Suppose -h + 46 = 43. Solve 0*t**h - 6\/5*t**2 + 0*t + 3\/5 + y*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpp when three letters picked without replacement from {m: 6, p: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 6. Let r be i(-4). Solve -t - r = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 8*f - 8. Let p(w) = -7*w**2 + 15*w - 15. Let i(o) = -3*p(o) + 5*x(o). Give i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/126*342\/(-285).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (0 - 0) - 15) + -34.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - c = -391, -202 - 174 = -4*p - 4*c. Let q = p - 40. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.4, -5, -0.1 in descending order.\nAnswer: -0.1, -0.4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 19 (b) -2.4 (c) 1\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j + 1. Let n(c) = -2*c**3 - 3*c**2 - 7*c - 5. Let m(x) = -4*a(x) - n(x). Let z be m(-2). Suppose 4*s - z - 17 = 0. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 17*j + 5*x + 695, x = -j + 147. What is the greatest common divisor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 314 in decreasing order.\nAnswer: 314, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v - 8. Let x be l(6). Let u(t) = 22*t**2 + 20*t**2 - 53*t**2 + 18*t**2 - 5*t**3. Let n(c) = -c**3 + c**2. Determine x*u(f) + 14*n(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/3))**(-1\/14))**36 assuming j is positive.\nAnswer: j**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - 8a554a0?\nAnswer: -8a55504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 7, -24 in increasing order.\nAnswer: -24, -5, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.231 + 1.27. Let w = d + -0.139. Which is greater: w or -12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + (0 + -3 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*o = -1890, 0*g = -3*g - 2*o + 1915. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/8, 8.3, 0.3, 3\/7, 7, 421 in decreasing order.\nAnswer: 421, 8.3, 7, 3\/7, 3\/8, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -24515*l + 24577*l = 2604 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 58 = k + 65, -5*m + 2*k + 615 = 0. Is 56 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000493208178 to seven dps.\nAnswer: -0.0004932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let o(y) = 2*y - 13. What is 4*h(k) + o(k)?\nAnswer: -2*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/(n*n*n\/((n\/(n**(-1\/5)*n))\/n*n)))\/(n**(-11)\/(n\/(n\/(n\/(n*n*n**10))))))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.08825 milligrams in grams?\nAnswer: 0.02308825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29342251\/40 at least as big as -733555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - 2*a + 4. Give z(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 15. Let k(l) = -116*l - 3350. Let m be k(-29). Calculate q(m).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/18 and (3 - 14)\/((160\/6)\/(-5)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 506625.8 minutes?\nAnswer: 30397548000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence offu when four letters picked without replacement from aufaoafoa?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 191, 185, 171, 143, 95, 21, -85?\n\"Answer: -u**3 + 2*u**2 - 5*u + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 631 + 2*m + 631.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*x - 32, -5*x = 5*f - 0*f - 95. Suppose -64 = 3*v - 7*v. Let z = v + 19. What is the highest common divisor of z and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592\/(-64)*16\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5070 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*h + 175. Suppose -3*k = -5*k - h. Let w = k + 59. Solve w*j + i = -i, 4*j + 3*i + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35919 + 94154. What are the prime factors of d?\nAnswer: 5, 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*u + 27, 2*u = -0*u - 5*x - 21. What is the units digit of 13 + 3\/(u - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 524 - 514 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 18 = -2*q. Suppose -q*k = -0*k - 25. Let n(b) = 3 + b + 2 - k. Let c(a) = a. Give c(n(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 0 + 0\/(-2) - (-3)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12379 + -9397. What is the greatest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/16*-10)\/(7\/14). Which is the nearest to -1\/5? (a) 2 (b) -22 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1606 = -5*u - k, -4*k - 172 = 3*u + 795. Let o = u - -521. What is the greatest common factor of 50 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/((-5)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*1*1)\/(3*sqrt(44)\/sqrt(4)))\/((-5*sqrt(16) - (sqrt(36) - sqrt(36)*2)\/sqrt(9))*-3).\nAnswer: sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -19 + 22460\/30*12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5348 or 144398\/27?\nAnswer: 144398\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1255734272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 34*s - 107. Give f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytjljro. What is prob of sequence ojjy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.205, 0.388, 1\/6.\nAnswer: 1\/6, 0.205, 0.388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spknxnpx. Give prob of picking 1 x, 1 s, and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 3*r, 5*r = r + 4*h. Suppose 0 = -3*u + 6, t - u - 62 = -r*u. Let k be ((-4)\/(-10))\/(t\/25). Does k = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 + 104610774*o\/5 - 104610777\/5.\nAnswer: 3*(o - 1)*(o + 34870259)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010 + 110000011101000?\nAnswer: 101111101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 45 = -5*j - 3*o, 3*o = -j + 9. Let i(g) = -3 + 3 - j*g + 0. Let a(x) = 3*x. Determine i(a(b)).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756390?\nAnswer: 2, 5, 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -143, -24\/11, 0.1?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -20 + -22 + -61?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*p**2 - 2*g**2*t + 806*g**2 + 124*g - 678*p**2*t - 348*t wrt t.\nAnswer: -2*g**2 - 678*p**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488641547?\nAnswer: 3, 113, 1627, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -73414 greater than -73814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67600585 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 3. Let o be (0 - 11\/2)*-2. Let s(i) = 46*i - 20. Let l(q) = 2 + 3 - 5 - 4 + 9*q. Let t(h) = o*l(h) - 2*s(h). Determine -5*g(k) - 4*t(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -803123, -1606245, -2409357, -3212453, -4015527?\n\"Answer: y**3 - y**2 - 803126*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9655 + -9467. Let w be 8\/(-32) + 1130\/8. Calculate the greatest common factor of w and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002183 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/13)*h*h\/h**(-1\/13))\/(h**(1\/5))**(-50) assuming h is positive.\nAnswer: h**(161\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i**3 + 65*i - 65*i)*((i - i + 2*i)*(-2 + 2 + 1) - i + 2*i - 2*i + 3*i + i - 3*i).\nAnswer: -40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/6 - 3*n + 839. Let z(v) = -5*v**2. Calculate 5*u(i) + 3*z(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {p: 2, n: 2, a: 1, w: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 41. Let k be o(-5). Sort 1, 25, k, -3 in decreasing order.\nAnswer: 25, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 9*v + 3312. Suppose -v*j + 52 = -548*j. What is the remainder when j is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 690 = 183. Let z = -53 + o. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 18*c**2 - 64*c - 140. Let m be g(11). Let d(l) be the second derivative of 3*l + 1\/14*l**2 + 1\/84*l**4 + 1\/21*l**m + 0. Factor d(w).\nAnswer: (w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/(-6))\/(14\/1050)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 0*p**3 + p**3)*(-5231 + 5231 - 48*p**2).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 14) to base 16\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 255 - 377 = -2*p, -5*z + 9*z + 5*p + 222 = 0 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: In base 13, what is 4c1 + -73a93?\nAnswer: -735a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s + 41*s + 175. Is 5*1*(38339\/s + 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2692936 divided by -79204\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5810\/3 + 1973. Let w = a - 35. Factor w*b - 2\/3 - 2\/3*b**2.\nAnswer: -2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 3*b + 2. Let q be 4\/(-8) + (-21)\/(-6). Let h be u(q). Suppose 2*k = -5*x + 12, h*k + 3*x = -x + 12. Solve -25 = -m + k*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74508041627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-16 + 33 - 26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((138\/(-42))\/(-23))\/(2\/42). Put -744, j, 4, -2 in decreasing order.\nAnswer: 4, j, -2, -744","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**3 + 610*b - 610*b.\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 + 979. Let g(o) = -2*o. Determine g(h(p)).\nAnswer: -20*p**2 - 1958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240584903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354502800 and 10800?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 21*h**5\/10 - h**4\/6 - 3*h**3\/2 - 102*h**2 + 5145*h. Find the first derivative of v(i) wrt i.\nAnswer: 126*i**2 - 4*i - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**3 - 4*t**2 - 2*t - 2. Let a be 3\/(-3) - (1 + -6). Let y(i) = -7*i**3 + 5*i**2 + 3*i + 3. Let b be (5*-1)\/(8 + -9). What is a*y(o) + b*k(o)?\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*f - 21 = -0*s, 2*s = -2*f + 10. Suppose 4*p - 45 = -5*i + 111, -p = -s*i - 22. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 11*r + 16 = -13*r + 5*m, 5*m = 4*r + 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.096504, 0.3, 5, 4?\nAnswer: -0.096504","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/13 - 2*o**2\/13 + 544*o\/13 = 0.\nAnswer: -17, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-940)\/4935)\/(66\/(-63)) - (-634)\/22?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1301?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 15*w - 48. Let k be r(18). What is the third derivative of 8*i**2 - k*i**2 - 21*i**3 - 11*i + 12*i + 7*i**3 wrt i?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95\/2 - -49. Let x be (-4)\/26 + (-248)\/(-260). Which is the closest to 1? (a) f (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 1937 = -1561 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(1 + 2*f - 1) + (0 + 1 - 3)*(0*f - 3*f + 2*f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -60*x - 6. Determine d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 1593952 - 1593952.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2 + m**2 - 2*m**2 + 0*m**3. Suppose 11*x + 12 - 1 = 0. Let g(l) = -1. What is x*y(u) + 2*g(u)?\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**2\/i))\/((i*i*i**(-10))\/i))\/(i**10*i*i\/i**11) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106554466 to the power of 1\/2, to the nearest integer?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(108) - (-1*sqrt(108) + 5))**2 + (sqrt(108) + 1*sqrt(108) + -1 - sqrt(108))).\nAnswer: -228*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 41) + (107 - 61).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:10 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 14*i + 147. Let o be x(21). Suppose o = -3*d + 2*h + 3694, -3*h - 2468 = -2*d - 7*h. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 97 + 13*i**2 - 13*i**2 + 5*i**2 - 4*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4*z + 0*z + 6*z)*(4*z**4 + 0*z**4 + 4*z**4).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 3. Determine k(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 + 86*z + 98. What is w(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -17, -27, -33, -35, -33, -27?\n\"Answer: 2*q**2 - 20*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(sqrt(13) + 0) + -2*sqrt(117))**2.\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26484104.\nAnswer: 2, 97, 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + f - 851 = 0, 0 = -s + f - 195 - 17. Let i be (-1)\/(3 + s\/282*4). What is the hundreds digit of (-2 + i)\/((147\/70)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 4 + 4)*(-377 - 405 + 778 + 161*i).\nAnswer: -322*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12992786 + -20?\nAnswer: -12992806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -115, -11, -0.51, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 3*u - 5, 930*z = 461*z + 466*z + 3*u - 45 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2 - 2)*(5*o**3 - 21*o + 21*o) + (0*o**3 - 5*o**3 + 4*o**3)*(3*o - o + 3*o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/4 + 4369*m**2\/2 - 12798097*m\/4 = 0.\nAnswer: 0, 1861, 6877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*13433.143\nAnswer: 6716.5715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/10 - 13*b**4\/4 - 125*b**3\/6 + 75*b**2\/2 + 2782. What is k in w(k) = 0?\nAnswer: -5, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2831*w**4 - 57*w + 284084 wrt w?\nAnswer: 11324*w**3 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2768147.\nAnswer: 257, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14699\/414 + 1\/207. What is the common denominator of (17\/(-50))\/(4\/(-10)) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102245 (base 9) in base 11?\nAnswer: 41681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301359238 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4372 (b) -381\/133 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/2 - 7*z**4 - 21*z**3\/2 + 43*z**2 + 34*z - 60 = 0.\nAnswer: -2, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11026 and 2294?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:03 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 243. Suppose -96*i + 1947 = 446 - 1859. What is o(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8465160 divided by -2420\nAnswer: -3498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 88 = -5*u, 4*d - 4*u + 45 = -83. Put 4, 46, d, 1 in descending order.\nAnswer: 46, 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568 and 33086?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, 3, 25, 55, 93, 139, 193?\n\"Answer: 4*h**2 + 2*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 18. Let k be q(7). What is the second derivative of 545*c**3 - 19*c - 600*c**3 + k*c wrt c?\nAnswer: -330*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**2 - 14*f + 14. Suppose a + 5*c - 4*c - 8 = 0, -3*a + 2*c + 9 = 0. Let h(o) = 0 - 26*o**2 + a*o - 5 + 30*o**2. Determine -17*h(i) - 6*k(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30412776 to the nearest integer?\nAnswer: 5515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/8 + 25*d**3\/6 + 1299*d**2. Determine x(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.13, -3 in descending order.\nAnswer: 0.13, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - sqrt(1573)*1 - sqrt(1573))**2 + (sqrt(637) - (sqrt(637) + 1)**2).\nAnswer: -7*sqrt(13) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 4*r = -3*a + 77, -162 + 170 = 9*a - 9*a + 4*r for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z - 1737. What is f(24)?\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17446 and 162382?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-126)\/(-10))*((-5668)\/(-104) + -52)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a - 2*y, -2*a - 13 = -4*y + 3. Is a\/(-5) + 1*50571\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175057304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4667?\nAnswer: 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20617 is divided by 6854?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from sxsyxsyyxss?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -22*a**2 + 12249. What is the ten thousands digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2672363 by 6.\nAnswer: -2672363\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230721630253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 3*k + 4*w, -4*k = w - 18. Suppose -k*g + 128000 = -g. Round g to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from arttatsaattsr.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, g: 6, a: 3, x: 8}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/k*k)\/((k\/k**4)\/k))**1*((k\/((k*k**1)\/k)*k)**(-28))**(-25) assuming k is positive.\nAnswer: k**(3522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84\/3852761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(432) - 2*sqrt(432))\/sqrt(12) - (sqrt(36) + sqrt(36) + 2*sqrt(36))*2)\/((2*sqrt(96))\/sqrt(8)*-5))**2.\nAnswer: -9*sqrt(3) + 2743\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 641 - 346. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -2 (c) -8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -330 (b) -0.3 (c) -1.3 (d) 11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + r**2 + 9*r - 2. Let t(k) = -9*k**3 + k**2 + 29*k - 7. Let s(n) = -7*d(n) + 2*t(n). Let q(i) = i**3 + i**2 + i. Determine 15*q(a) + 3*s(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10243840 divided by -4240\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 21*s - 96. Let m(h) = -5*h**2 - 106*h - 480. Let w(u) = -11*b(u) + 2*m(u). Calculate the smallest common multiple of w(-9) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/251 + -662\/1757. Which is the closest to 3\/10? (a) 2\/17 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4790*w**3 - 4501*w**2 wrt w.\nAnswer: -28740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-46)\/92)\/(1\/(-596)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8738ml to litres.\nAnswer: 0.0048738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -5, -21, -45?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 156*f**2 + 5*f**3 + f + 52*f**2 + 0*f**3.\nAnswer: 5*f**3 + 208*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 11 + 13)*(z - 4*z - z) in the form q*z + s and give q.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86ab94 + 74?\nAnswer: -86ab20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -23101, 3, -1\/3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33090*k**2*v**3 - 5326*k**2*v - k*v - k - v wrt v?\nAnswer: 198540*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 200977*a + 200974. Give k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -2.928?\nAnswer: -2.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3192.577ng?\nAnswer: 0.000000003192577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4412 = -205*p - 56*p - 6028 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*c**2 + 0*c + 8*c - 8*c + 2 in the form p*c**2 + f*c + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 931786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 739 - 1189. Let l = 716 + k. Let q = -251.9 + l. What is q rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*4 - -28768004*19\/(-19). Round p to the nearest 100000.\nAnswer: -28800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f - 296 = 265 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 175. Which is the fourth biggest value? (a) 1\/12 (b) f (c) 0.1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -18*f**2. Let r(v) = 3*v**2 - 2*v**2 - 3*v**2. What is g(r(b))?\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222001121112 (base 3) to base 15.\nAnswer: -211d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/3*63\/(-294)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/53? (a) -4 (b) -48 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + 2 + 12 - (4 - (-5 + 22 + -6)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -355 - -355.0457. What is q rounded to 3 decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + ((7 - 0) + -8 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.8 + 45. Let o = 11 + -13. Which is the biggest value? (a) -5\/2 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 61815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1142 divide 22325826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5064*o + 114917 - 69375 + 248170 = 0 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 764 or 0.544?\nAnswer: 764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -12, -15?\n\"Answer: -3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -10 - 6. Let t be (h\/3)\/(32\/1968). Let f = -15 + t. What is the least common multiple of f and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:27 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b97 (base 12) in base 8?\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-30)*(-355)\/71?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b + 735. Is g(-52) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 1.8896 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1556548, -3113094, -4669640, -6226186, -7782732?\n\"Answer: -1556546*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 3:16 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 195220*h + 4878000.\nAnswer: 4*(h + 25)*(h + 48780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9098.08 hours?\nAnswer: 32753088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*y = 653*y + 14472 + 9540 for y.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*u - 7656, -5*q - u + 24568 = 62904. What is the tens digit of q\/(-27) - (-6 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*-2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, 11\/5, 0, 1\/3?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -237, -355?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 328 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnpnls. What is prob of sequence lll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*x + 5 - 33 = 0, 4*f - 16 = -4*x. Suppose 0 = 3*a - f*a. What is the closest to a in 5, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -17. What is the closest to -2 in -1\/5, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10264 (base 7) to base 15\nAnswer: -b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(-3\/4)*g\/((g*(g**(-4)*g)\/g*g*g*g)\/g)*g**12*g)**(4\/7) assuming g is positive.\nAnswer: g**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19424 + 56887 + 79755 = 1127*c + 894*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43891284?\nAnswer: 2, 3, 3657607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3.45\nAnswer: 1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:26 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5, 6000, 5, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 104364 - (-21 - -20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405140 divided by 50?\nAnswer: -40514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10123\/29 - -349. Are i and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 4*y - 151. Calculate q(0).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from azacaaczacacczazc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - x**4 + 5*x**4)*(-3 - x - 4*x + x + (5 + 18 + 14)*(x - 5*x + 2*x)).\nAnswer: -156*x**5 - 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 1052*z - 1065*z + 155 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16011421, -32022857, -48034293, -64045729, -80057165, -96068601?\nAnswer: -112080037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92015 and 770.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:27 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7551*l - 13144*l + 3999*l.\nAnswer: -16696*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18568397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/2, -244535, -4, 6, 1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611784 to the power of 1\/2, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.4 (c) -23 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from tkrrektokttt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(272) + 3 - sqrt(272))**2 + ((sqrt(272) + 3)*2)**2).\nAnswer: 384*sqrt(17) + 4532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((4 + 0)\/72) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5040*r**5 - 30*r**4 - 1449*r**2 - 657197*r - 166?\nAnswer: 100800*r**3 - 360*r**2 - 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2256 and 564.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*s**4 - 7*s**2 + 2 - 3 - s + 143*s**4 + s**4 + 19*s**4 in the form h + v*s**4 + i*s + u*s**2 + r*s**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -0.2 (d) 5 (e) 2.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372266213 to the power of 1\/2, to the nearest integer?\nAnswer: 37044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let t(c) = 2*c**2 + 5*c + 5. Let a(f) be the first derivative of 22 + 21*f + 21\/2*f**2 + 7\/3*f**3. Let k(o) = -5*a(o) + 21*t(o). Give k(z(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-20 - (32 + 27)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83886071 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a1a + 6d04?\nAnswer: 1a920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -o + 8, -2*o + 28 = 5*m + 7. Which is the closest to 0.1? (a) -1.7 (b) -4 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*r - 48*r - 355*r**2 - 287*r**2 - 4 + 7.\nAnswer: -642*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -188*q**3 - 8*q**2 + 3*q. Is n(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 - 2*h**2 - h - h - h. Let x be (-2 - (-2 - -2))\/(4\/6). Let g(b) = b**2 + 2*b - 1. Give x*s(l) - 4*g(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41791?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7158.\nAnswer: 2, 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8.676\nAnswer: 13.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 56 - 58 - 14*w - 60 + 179. Let l(r) = -27*r + 9. What is 11*a(z) - 6*l(z)?\nAnswer: 19*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) - (sqrt(242) + -5*(sqrt(242) - sqrt(242)*2)**2 + sqrt(242)))) + -2*((sqrt(242)*1)**2 - sqrt(242)).\nAnswer: -1694 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*a = 9, 0 = -11*j + 14*j + a + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6509825, -13019651, -19529477?\n\"Answer: -6509826*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, x: 2, q: 5, h: 2, u: 1, b: 1}. Give prob of sequence xu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 5) to base 12\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**4 + 2*l**3\/3 - 7*l**2\/2 + 6328*l - 7723. What is the derivative of k(c) wrt c?\nAnswer: -24*c**2 + 4*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 5*g + 15*g**2 + 3*g - 9*g**2 - 17. Let o(c) = -3*c**2 - 5*c - 5. Let z be o(-2). Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2702, -26, -27 in descending order.\nAnswer: -3\/2702, -26, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117990 - -14?\nAnswer: -117977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 30 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - 1026?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 5*v**4\/4 + 31*v**3\/3 - 68*v**2\/5 + 28*v\/5 - 127. Factor q(g).\nAnswer: (g + 7)*(5*g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283483 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 24. What is the units digit of ((-21)\/(-9))\/(5\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 3. Let r be u(-15). Solve 0 = -3*z + 3*y - 4*y - 4, 2*z + r = 4*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -5, -2, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - -47. Let k = s + 60. Is k at most 1.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166*s**2\/5 - 138*s\/5 + 28\/5.\nAnswer: -2*(s + 1)*(83*s - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3177520 is divided by 513?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/2349?\nAnswer: -4\/2349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-8*c + 4*c + 17*c) - 104 - c + 104 - 4*c - c + 4*c + (3 - 4 + 2)*(4*c - c - 4*c) + 3 - 3 + 2*c + 3*c - 2*c - 3*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6050186, -6050188, -6050192, -6050198, -6050206?\nAnswer: -6050216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - ((4 - 1) + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/22 - (-1000)\/(-66). Let l = -89\/6 - s. Let -3\/4*p + 1\/4*p**2 + l = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o**3 - 3*o - 105*o**3 + 10*o + 0*o - 7*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let f(c) = 4*c - 4*c - 2*c**o. Let b(h) = -2*h**2 - h**2 + 2*h**2. What is f(b(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2447 - 4.7553. What is the second biggest value in -59\/4, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1711 + 1610.1. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 681, 2721, 6113, 10851, 16929, 24341, 33081, 43143?\nAnswer: 54521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:21 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyqlqqqyqyylbqgqq. Give prob of sequence lg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -16 - ((24 - 75) + 54)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 1}. What is prob of sequence ii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 130866, 0 in increasing order.\nAnswer: 0, 1\/11, 130866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2100*m**2 - 1395*m**2 + 1238*m**2)*(0*m + 0*m + 3*m) + 0*m**2 + 2*m**3 + 0*m**2.\nAnswer: -6769*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -7 in ascending order.\nAnswer: -7, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 16. Calculate w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488\/1708 + (-214)\/14 - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*v + 8*v**2 - 38*v + (2*v**2 - 3*v**2 + 2*v**2)*(-1 - 2 + 2) - 2*v**2 + 2*v**2 - 2*v**2 + (-192 + 192 + 24*v)*(-3*v + 2*v - 3*v).\nAnswer: -91*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 20212000012?\nAnswer: 20211222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -26. Let b(h) = -h**3 + h**2. Let k be b(0). Suppose 2*i + d*t - 18 = k, 50 = -i + 5*i + 3*t. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/6 + 1\/(-3). Let t = 0.71 + -0.91. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173242, -174726, -176210, -177694, -179178?\nAnswer: -180662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**4 - 2405*o**3 - 33*o + 3425519 with respect to o.\nAnswer: 16*o**3 - 7215*o**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 26*d**2 + 197*d - 436. Give s(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1414\/1818*(-108)\/(-6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2458, -2435, -2162, -1447, -98?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 4*i. Let q be 3*5*i\/6. Suppose 6 = v - q. What is the least common multiple of v and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 630\/5250 + 135\/(-500)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n. Let y(l) be the second derivative of 13*l**4\/12 - 240*l. Give a(y(f)).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(114)\/sqrt(24))*-2.\nAnswer: -sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 33\/(-4 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6985, -14127, -21207, -28195, -35061, -41775?\n\"Answer: 5*n**3 + n**2 - 7180*n + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 131188, 131379, 131894, 132895, 134544?\n\"Answer: 27*s**3 + 2*s + 131159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117216443 divided by -4.\nAnswer: -117216443\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774599?\nAnswer: 7, 239, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2145747 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9 and 8\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 23*r + 92. Give c(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 98268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/237, 0.5, -2, 15\/11, 5 in ascending order.\nAnswer: -2, -2\/237, 0.5, 15\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*f - 925 = 0, 0 = 24*u - 22*u - 5*f - 1851. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 14 = s, 178*m - 6*s = 177*m - 21 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4731*p**3 - p**2 - 60*p - 60. What is the remainder when b(-1) is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/309 - 580\/5871. Let k(u) = -u**2 + 10*u - 4. Let o be k(6). Find the common denominator of c and 12\/o*174\/9.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 8 - 14. Let u(k) = 6*k + b*k - 7*k - 1. Determine u(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 32684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 660506 (base 7) to base 9\nAnswer: 185382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*l**2*m*y + 28894*l**2*m - 38*l*m*y - 2*l*m - 28*l*y - l - 2*m + 3 wrt l.\nAnswer: -170*m*y + 57788*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-25 - -1) - (-11 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 3*f + 78. Solve 26*g = f*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1380*z - 12556. Determine q(-11).\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 809473 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-49)\/3)\/(2\/(-6)). Let t be 16\/7 + (-14)\/y. Solve 0 = -s + t*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 54 - 14*o to the form l*o + i and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*l**3*r + 3*l**2*r**2 - 674*r**2 wrt l.\nAnswer: 45*l**2*r + 6*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:09 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 156\/65 - 2\/5. What is the second derivative of -n**2 - 16*n + 15*n - 2*n**c wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3. Let s = 11 + -28. Let u = -26 - s. Let v(m) = -m - 13. Determine u*d(i) + 2*v(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -0*x. Suppose 4*i = 2*i + 4*o + 4, -x*o + 46 = 3*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160715623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 45*i**2. Suppose 46*v - 50*v + 56 = 0. Let r(n) = -v*n**2 + 2 + 15*n**2 - 2. What is j(r(d))?\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2120*z + 13050. What is c(-6)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -29, 0 in ascending order.\nAnswer: -29, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11 - 9*v**3 - 3*v - 6 - 4*v + 10. Let c(z) = 4*z**3 + 3*z + 3. Determine 3*b(l) + 7*c(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 261*i**2 - 27*i + 27. Let g(r) = 20*r**2 - 2*r + 2. Determine 27*g(o) - 2*t(o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25645*c**3*o**4 - 48967*c**3 - 144*c*o**5 + 44*c*o**2 wrt o.\nAnswer: -615480*c**3*o - 8640*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 623. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-75)*2\/(-368)*-20?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (0 + -3 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*m = -7484, y - 5*m + 7*m = 1866. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 25. Let q be c\/3*(-3)\/3. Let p(s) be the second derivative of s**3\/6 + s**2 - 3*s + 3. Determine p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from gbggjbosbjgggigsg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:12 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 341*n - 373. What is p(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (76 + 0 + 5 - (54 - 56))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 2802*g - 1. Let b(a) = -a. Calculate b(w(h)).\nAnswer: 3*h**2 - 2802*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 1) + -4 + (-9 - -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 18*k**5\/5 + k**4 - 22*k**3 - 3*k - 443. What is the third derivative of w(a) wrt a?\nAnswer: 432*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 4*4*sqrt(1573)*2)**2.\nAnswer: 1408*sqrt(13) + 3221506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031590016 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -7*u**4\/24 - 3*u**3\/2 - u**2. Let v be o(-6). Suppose -4*x - 1 = -v. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1769755590, -1769755592, -1769755594, -1769755596?\nAnswer: -1769755598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*x - 34, -3*x - 29 = -s - s. Let z be ((-2736)\/40)\/((-2)\/s). Suppose 0 = 7*n - z - 1219. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 8) in base 12?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -45, 3, 20, 5, 7\/5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122300 - -11?\nAnswer: 122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 - 362 + 6*m**2 + 0*m**3 + 3*m**3 + 365. Suppose -29 + 77 = 8*z. Let n be c(z). Solve -n*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525926 - 495611 = 5480*i + 5809*i - 84550 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012000211222102221 + 10?\nAnswer: 1012000211222110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674084.1 rounded to the nearest 10000?\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -77. Let t = 0.3 - 0.8. Let l = t + 0. What is the third smallest value in k, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19798373 + 19797902.00094. Let o = -471 - k. Round o to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 264294 + 13*s**2 - 264294. Let l(m) = -8*m. Determine l(q(d)).\nAnswer: -104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1973279.616 to the nearest one hundred.\nAnswer: 1973300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 14, -29, -90, -169, -266?\n\"Answer: -9*u**2 + 2*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*i**2 - 2 - 27*i**2 - 25*i**2 + 43*i**4 - 3*i - 26*i**4 as j + f*i**4 + q*i + x*i**2 + m*i**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 20789042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002210001220 - 2222?\nAnswer: -111002210011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15980449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 + 4 = -2*u, 5*c = -u + 25. Let r(x) = -x**2 + 21. What are the prime factors of r(u)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 10*f**2 + 12. Let j be u(-10). Suppose 4*m = j*m - 40. Solve 3*r - 15 = -3*i, m*r = 3*i - 3 + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i - 10*i)*(13*i - 13*i - 6*i**2 + (0 - 3 + 5)*(-5*i**2 - i**2 + 4*i**2)).\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w + 4. Let f be (w - -156)*(-3)\/(-5). Suppose 0 = 5*m - 4*m - f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17634 divided by -4032?\nAnswer: -2939\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 17*l - 15*l)*(-3*l + l + 3*l).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 15. Calculate p(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*j - 2, -w - j + 11 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:54 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (6 - (-2 - 3)). Is 1150\/(v\/(-4)) - (-8)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 118*j**2 - 230*j - 1. What is h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17421779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1\/(-2)*7)*220\/770?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtujial. Give prob of picking 1 l and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -18 - -33 - (4 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3564\/(-110))\/(-81)*2\/(-5)*(-200)\/(-544)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccicc. What is prob of picking 1 i and 3 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/25)\/((-1028)\/(-2570))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:43 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 759 = 12*l - 81. Solve -l*r - 19 = -59 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(112)*-2 - sqrt(112)) + -1*(sqrt(112)*1 + sqrt(112)))*4)\/(sqrt(576) - sqrt(576)*2 - ((sqrt(64) - sqrt(64)*3) + sqrt(64))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.149 to 2 decimal places.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*(r\/((r\/(r\/r**(-2\/3)))\/r))\/r*(r**(-7)*r)\/((r\/r**(-2\/11)*r)\/r*r))**(-1\/44) assuming r is positive.\nAnswer: r**(62\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287569, 1150382, 2588417, 4601680, 7190177?\nAnswer: 10353914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 40*z - 53 + 395 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(114)\/sqrt(6) + sqrt(19) - ((sqrt(1216)*1 - sqrt(1216))**2 - sqrt(1216))) + 1 + 2*(3*(sqrt(2299) + -2*sqrt(2299)) + 3)**2.\nAnswer: -386*sqrt(19) + 41397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 25 - (1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6952, 112, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 11*d**3\/6 + 4*d. Let n(r) = -r**2. Give o(n(u)).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - r + 1406 - 1396 = 0, 0 = -2*w - 4*r + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 476 - 683. Let p = 208 + c. Solve -2*z - p + 13 = 2*u, -5*u - z = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 1280, 2732, 5720, 10790, 18488?\nAnswer: 29360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3 - 2*v - 1 - 2. Let w(d) = -d - 4. Let p(c) = 3*c + 11. Let a(z) = -4*p(z) - 11*w(z). Give a(k(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 - -461. Solve 3*j - 2*r + 10 = -3*r, 3*j + 5*r = -y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l + 6. Let f be g(-3). Sort f, 0, 2, -1 in descending order.\nAnswer: 2, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = -x - 3*a, -2*a + 6 = 5*x. Suppose x*i + 462 = 3*i. Calculate the highest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/36 and -97\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408957 divided by -5.\nAnswer: -408957\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*f + 2 = 0, -3*f = -6*p + 4*p - 3. Suppose p*r + 4 = -r. Let m(k) = k**2 + 4*k + 3. Let n be m(r). Solve 3 + n = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-68)\/(-170))\/(((-6)\/(-5))\/1). What is the closest to h in -14, -0.17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4695584 - 207.4682684. Let k = n - -206. Round k to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*s + 2*s + 1, -3*u = -4*s - 2. Let z be u*((-77)\/38 - -2). Suppose b - 84 = -83. Is z equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/5)\/(-2 + 4). Let v = 1 + -7. Let o = v - -3. What is the second biggest value in a, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5792 - -1?\nAnswer: -5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3 + 2\/1 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143143, 143147, 143151, 143155, 143159, 143163?\n\"Answer: 4*m + 143139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 + 86 = -3*a - 3*r, 5*a = 4*r + 277. Let j = 94 - a. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*(910\/(-40))\/13\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 3 + 1348. Let g = v - -376. What is the greatest common divisor of g and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102087333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3667 - 3667 + 1372033*s**2.\nAnswer: 1372033*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 7*l**2 - 10*l - 9. Calculate a(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505026.\nAnswer: 2, 752513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 0.14. Let h = -0.2 - i. Let v = 5.01 + -0.01. What is the nearest to 0.2 in 0.2, v, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, -5, -0.1 in decreasing order.\nAnswer: 1, -0.1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213824*o**3 - 13712*o + 10?\nAnswer: 1282944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-7)*(-2)\/(-64)*116\/29?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8499 + 39.4.\nAnswer: 8538.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/24)\/((-24)\/(-36)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57921230 - -35579230. What is t rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2 - 12\/(-8). Suppose i = 22*z - 18*z - 16. Solve 0 = 2*k + 2*p - 2, 5*p - 4 = z*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 - s**2 - s + 1. Let w be y(1). Suppose -w*j - 63 = -21. Are -7 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(1 - 3))\/(6\/(-261)). Let a = h - -288. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9881, 19761, 29639, 39515, 49389, 59261?\nAnswer: 69131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 31\/4. Let m = 0.2 + -0.1. Sort m, y, -2 in descending order.\nAnswer: m, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 - 8509072*y**2 + 16572270 wrt y.\nAnswer: 6*y**2 - 17018144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12 - (-6)\/(-4). Let y = 7 + j. Suppose -y*h + 27 = -43. Solve -4*g = n + 1 + 7, -2*g = -4*n - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -332, -327, -314, -287, -240, -167, -62, 81?\n\"Answer: f**3 - 2*f**2 + 4*f - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389581693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + a**3 - a**3 - a**3 - 13. Let n be q(0). Suppose 520*o + 115 + 32 = 569*o. Sort n, o, -2 in descending order.\nAnswer: o, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -209, -473, -853, -1355?\n\"Answer: -j**3 - 49*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + cbb?\nAnswer: cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0. Let q = 31106 - 31109. Which is the closest to -1? (a) 1.95 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4059)\/(-4428)*(-1)\/22*-8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*v**3 - 3*v**5 + 344*v**4 + 41*v**3 - 3695*v**2 - 78*v**3 wrt v.\nAnswer: -180*v**2 + 8256*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53497.99m to centimeters.\nAnswer: 5349799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 6*f - 9. Let y be o(5). Let j = y + 160. Which is smaller: 37 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 140*x**2 - 4*x + 404*x**2 - 2 + 407*x**2 - 318*x**2 to r + b*x + z*x**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17638?\nAnswer: 2, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) + (-180)\/27. What is the hundreds digit of w + 6 - (-2)\/2 - -106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8782*q + 8785*q = -3. Are q and -8\/2821 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8844350 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2378*l - 2. Let d(y) = 50*y + 1. Give 3*d(p) + s(p).\nAnswer: 2528*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/464*18\/(-15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*m - h, -1483 + 1478 = 5*m + 5*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 31 = -107*t + 102*t, 4*v = 5*t - 23 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Divide 55 by -32770.\nAnswer: -11\/6554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170696 - -254596. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30226 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 5*g**2 - 5*g + 2. Calculate c(5).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 862891*i**3 - 286363*i**3 + 6*i**2 + 55978*i**3.\nAnswer: -1093276*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 + 71*d**3 - 327*d**2 - 8095*d - 24050 = 0. What is d?\nAnswer: -74, -5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from txytxbyck.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687494 + 280778. Let p = 968272.4599911 - n. Let z = p - 0.46. Round z to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1630, -5, 4, 11, 2 in ascending order.\nAnswer: -1630, -5, 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/7)*m**(-34))**(-2\/5) assuming m is positive.\nAnswer: m**(492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1) + -10 - (-46)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2203d + 0?\nAnswer: 2203d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-6)\/(-462))\/((-140)\/315*9\/22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2 - 2*t - 2. Let d be g(-6). What is the remainder when (-6)\/(-15)*4*d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 0 + (-12 - 0) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -360, -764, -1206, -1686, -2204, -2760?\n\"Answer: -19*x**2 - 347*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*-1*((-1 + sqrt(475) + 4 - sqrt(475))**2 - ((-4 + -2*sqrt(475))**2 - sqrt(475))).\nAnswer: 675*sqrt(19) + 17163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**3 - 7*d**2 + 51*d + 703. What is the units digit of g(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(10\/(-650))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.33 and 563888.\nAnswer: -1313859.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*k - 560 = 0, x - 132 = k + 8. Let i = x - 275. Let n = 959 - i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(143)\/(sqrt(44)\/sqrt(4)*-6) - (sqrt(208)*-2 - 4*sqrt(13)*-2)**2).\nAnswer: -sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2\/11 + 146*m\/11 - 74\/11 = 0.\nAnswer: -37, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Calculate the common denominator of 88\/36*6\/y and -52\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78, -91, -104, -117, -130?\n\"Answer: -13*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 18*i**2 - 26*i + 16. Let o = -36 + 40. Suppose 114 = -2*m - o*m. Is t(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**3 - 9*w**2. Let o = 2 + 2. Let j = 1 - -3. Let t(u) = 5*u**3 - 8 + 5 + j*u**2 + 3. Give o*r(d) + 9*t(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957040 is divided by 152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7138674 divided by -12546.\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let t = w + 0. What is the second smallest value in t, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**2 + 961*r + 382. Calculate c(-80).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -189000 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40167 + 17495 = 3*t + 4*s, 2*t - 38436 = -2*s. What are the prime factors of t?\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 715?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/49410 and -37\/366?\nAnswer: 49410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (2 + -84 - 4) + (36 - 34 - -9).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.54233023 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-6)\/28*(16 + -3)\/(-39).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 79*a - 28. Let r be t(-26). Let l be r\/(-10)*-7*16\/(-56). Which is bigger: -32 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 12. What is l(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.275 and -17.516.\nAnswer: -17.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113680 divided by -22736.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6806, -26292, -58460, -103310, -160842, -231056?\n\"Answer: -6341*o**2 - 463*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58838 is divided by 27760.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 74164 - 559*p - 74164 as u + f*p and give f.\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 + 7 = 0. Solve -v*r + 0*r = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-15))\/(54\/45) + 2. Let f(w) be the second derivative of 3*w + 1\/3*w**4 + 1\/3*w**2 - o*w**3 - 2\/15*w**5 + 0 + 1\/45*w**6. Factor f(n).\nAnswer: 2*(n - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15679\/2 + 7840. What is the second biggest value in f, 1.9, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.992 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -j - 4*m + 19, 0 = -2*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 0 - 19) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*r = 20*r - 51*r - 1875 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9342.00007042 - 9342. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/((-91)\/(-14)) + (500 - -1). Let h = 1172 - q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r**(9\/2)*r))*r)\/r)\/r*r*r**8)\/(r**(1\/12)\/r*r\/r**(-2\/15)) assuming r is positive.\nAnswer: r**(857\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1861\/13 + -143. Suppose q + 4*b = 2*b, -2*b + 2 = 0. What is the nearest to q in k, 6, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**2 + 4*r - 1. Let b be l(4). Let t = -0.0485 + 4.0485. Sort b, t, -1.6 in decreasing order.\nAnswer: t, -1.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 26359801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -131420 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2865, 110, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/49 greater than -1\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 55005 (base 6) to base 2\nAnswer: 1110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/28449039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 69*g + 188. Is a(-55) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3941 and 309650.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + (sqrt(114) - sqrt(114)*2) + sqrt(114)))*-2 - (sqrt(114) - 1*sqrt(114)*6))\/(1*sqrt(486)*-3 + sqrt(486) + sqrt(486)).\nAnswer: -5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p - 850974 = -318804. Is 121 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shusrzl. Give prob of sequence ul.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 13) + 16 + -9 + -1 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10793, 16084, 21375, 26666, 31957, 37248?\nAnswer: 42539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 8. Suppose -27 = -2*v - 5*y, v - 2*v - j*y = -12. Is 4 a factor of ((-12)\/8)\/(v\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 5*c + 14. Let v(f) = 5*f**2 - 17*f + 41. Calculate 8*o(g) - 3*v(g).\nAnswer: g**2 + 11*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**(-4\/5) assuming d is positive.\nAnswer: d**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let u(g) = -6*g - 4. Let w(n) = 7*n + 5. Let z(a) = 5*u(a) + 4*w(a). Calculate s(z(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1466566661 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 152*j**3 - 149*j**2 - 10*j + 15. Let c(s) = 19*s**3 - 18*s**2 - s + 2. Give 17*c(z) - 2*w(z).\nAnswer: 19*z**3 - 8*z**2 + 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-141)\/(-376))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121903726.\nAnswer: 2, 7, 23, 378583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 - 125921*v**2 - 6862564 wrt v?\nAnswer: 3*v**2 - 251842*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 544355455 a multiple of 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 480 and -81420?\nAnswer: 81900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*g = 102, 0*g - 2*g - 8 = 0. Let q(o) = 32*o**3 - o - 1. Let i be q(-1). Let z = f + i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -7, 0.05.\nAnswer: -30, -7, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/55 + 7\/((-154)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36456 - 5?\nAnswer: -36464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -24. Suppose 0 = 3*r - 4*y - v, 2*r + 4*y + 7 = 3*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 2883.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -4\/9 (c) 181 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9*z. Let k be z - -3 - (6 - 6). Let w be (-4)\/12 - (-13)\/k. Solve -l - 1 = m + 3, -w = 5*l - 3*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83226308.\nAnswer: 2, 11, 19, 113, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1\/(-4) - 53586\/(-312). Let r = 325 - p. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n + 5. Let o(p) = -p**2 + 8*p - 8. Let w be o(6). Calculate the remainder when 28 + (-9)\/6*2 is divided by j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2187 = 5*w - 2179, -8 = -2*o - 4*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7761 - 7704. Suppose 3 + 77 = 2*n. Suppose o + c = 3*c + 5, 2*o + 2*c = n. Calculate the remainder when t is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202022120 - -222?\nAnswer: -202021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(45\/(-6)))\/(42\/(-70))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 - 2)*(3*c**5 + 0*c**5 - c**5)*(-4 + 1 - 8) + 2*c**5 - 2*c**5 + 2*c**5 + (0*c**4 + 2*c**4 - c**4)*(5*c - 3*c + c).\nAnswer: 137*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llqw when four letters picked without replacement from {x: 6, q: 2, w: 2, l: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvlo. What is prob of sequence lvov?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324900.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3 - 26928*s**2 + 167*s + 25.\nAnswer: 18*s - 53856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759543 and 318.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n + 12*n - 29*n. Let g(c) be the second derivative of -c**4\/12 - 2*c. Calculate s(g(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-236 - -209) + 25 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -30. Which is the second biggest value? (a) 0.05 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f\/(f**(5\/6)*f)))\/f))\/(f*(f*f**(-12)\/f)\/f))**(-50) assuming f is positive.\nAnswer: f**(-1975\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -575130, -575128, -575126, -575124?\n\"Answer: 2*z - 575132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (75 - (-298305)\/(-4455))*6\/8.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -1\/19 (c) -1\/7 (d) -364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) -87 (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-50)\/6 - 3). Suppose 3*x - h = 4*w - x, 2*w = -5*x + 1. Let k(c) = c + 15. Let q be k(w). Solve 0*z - 3 = -2*z - q*g, -15 = -5*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*w + 9*w - 16761, 4*w - 8 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 4 - 4*l**2 + l**3 + 4*l. Let a be b(4). Suppose 3*f = -p - 6 - 10, -p + 16 = -5*f. Sort f, 3, a.\nAnswer: f, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Let d be (-75)\/10*8\/6. Let f be 4\/(-6)*(-6)\/d. What is the third smallest value in f, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 42, -5\/4 in descending order.\nAnswer: 42, -0.3, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4832, -19332, -43500, -77336, -120840?\nAnswer: -174012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**3 + 111*u**2 + 258*u - 7. Determine g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/20)\/((-15)\/90). Let g = -0.5 + 0.2. What is the closest to -1\/3 in b, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32165 + -34?\nAnswer: -32221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4757 - -4756. Let p = 1.92 - 2. What is the closest to u in 0.1, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 + 3080*g**3 + 595972*g**2 + 1182720*g + 589824 = 0. What is g?\nAnswer: -384, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, l: 4}. Give prob of picking 3 t and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1225 + 695 - 956*p - 5*p**2 + 6*p = 0.\nAnswer: -192, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1126185\/(-3) + 6\/(7 - 1). Let s = z - -586494. Round s to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 - 3*i. Let h(q) = -q**3 + q**2. Calculate -2*h(b) + w(b).\nAnswer: 3*b**3 + 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.151, 125, -16 in ascending order.\nAnswer: -16, -1.151, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exx when three letters picked without replacement from xggexggx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 32, 0.5 in decreasing order.\nAnswer: 32, 0.5, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - 6\/(-24). Suppose x = -2*z - 4, 4*s + 3*z - 6 = -0*s. Suppose 4*m + 114 = 2*u, -s*u + 219 - 57 = 3*m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s**2 + 100*s - 202*s + 28*s**2.\nAnswer: 3*s**2 - 102*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 - 35*s + 75*s + 5*s**2 + 2 + s**2 - 41*s. Let a(g) = -2*g**2 + g - 4. What is 2*a(f) + 5*c(f)?\nAnswer: f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/4, -5, 3017 in ascending order.\nAnswer: -5, -3\/4, 5, 3017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 4*q - 1. Suppose -3*c + m = 9, 4*m = c - 6*c - 32. Let r be l(c). Let v = r - -931. Round v to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 2}. What is prob of picking 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/53 and 2\/11 - 3072\/924.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94221862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.71082 - -4.27758. Let t = 74 - m. What is t rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - (5\/20 - 4). Solve -q - 3*q + 2*m = -2, -d*q = -5*m - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let i(d) = d**3 + 12*d**2 + 8*d - 30. Let h be i(-11). Suppose z**2 - 2*z**h - 3*z**2 + p*z + 2*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8827 and -97\/231.\nAnswer: 291291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1272 - -1959. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-565)\/(-45) - ((24 - 1) + -10). Let k = 3 + -7. Which is the smallest value? (a) j (b) k (c) 4\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -349\/3, 1\/2?\nAnswer: -349\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4560 - 4551. What is the biggest value in -0.2, f, -2\/9, -3, 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.8115164 months?\nAnswer: 0.0001509597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 53. Suppose m*y = -0*y + 12. Let k(h) = -2*h - 3. Give k(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*o - 4*w, -4*w = o + o + 8. Calculate the remainder when 19 is divided by (-6)\/15 + (-185)\/(-100)*o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-20))\/((-4)\/16). Let g = -2.4 - -3.1. Let n = g - -0.3. What is the nearest to o in -3\/4, n, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -68*b. Let v(x) = 5*x. Give w(v(d)).\nAnswer: -340*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8471373 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 21*c + 2705. Suppose 0 = 83*h - 78*h - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -67962188.\nAnswer: -67962185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198411223 is divided by 3509?\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 36 (c) -0.2 (d) -3.3 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:30 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7310 - -7313. Let u = 31.064 + -0.064. Sort p, 2\/21, u in increasing order.\nAnswer: 2\/21, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1.914.\nAnswer: 2.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 3*k - 1. Suppose -l - 6 = -4. Give w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + v - v - 4 - 6. Let w be c(-7). Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (-56 + (58 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -33. Let p(w) = 2*w**2 - 5*w + 9. Determine p(k).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/7 - 1002984*s**2\/7 + 30086820*s\/7 - 225644400\/7.\nAnswer: 4*(s - 250716)*(s - 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 9 + 2 - x**3 - 52*x**2 + 0*x + 10 - 18 to m*x + i*x**2 + p*x**3 + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, g: 3}. Give prob of sequence ggh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/2 - -2)*2. Suppose -u - 8 = -2*p, -4*u + 3*u - 4*p = 8. Let z = s + u. Solve -b = -z*d + 4, 2*d + 20 = 2*b - 7*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.51 and 0.5.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/55)\/((-62)\/(-60) + -1). What is the greatest common factor of 372 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/3, 108.6, 1\/4.\nAnswer: -4\/3, -0.4, 1\/4, 108.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21990 by 15.\nAnswer: -1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 8 - 2*h**2 - 5*h**2 + 170 - 3*h**2.\nAnswer: -10*h**2 + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-3)\/(-9)). Let s be 0*3\/12*u. Solve s = -5*i - 5 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 6*z - 3. Let v(q) = q + 12. Let a be v(-4). List the prime factors of b(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287048.\nAnswer: 2, 53, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 3 + 21 + 7*w. What is d(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(0 + 1) + (52 - 48). Let a(s) = -s**2 - 5*s - 3. Calculate a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*b + 10 + 8 = 0, -2*j = 3*b - 4. Suppose -3*t - 2*d - 2 = 0, -9 - 7 = 2*t + 5*d. What is the third derivative of k**j - 3 + 3 + t*k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2543729333 and 3.\nAnswer: 2543729336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573 + 5030 - 570 + 3*u**2 - 576 - 570 - 2741.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 185071892 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 7*v - 6. Let b be (27\/(9\/3))\/(-1). Let c be w(b). Solve 4 + c*i - 2*i - 3*i**2 - 3*i**2 = 0 for i.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415085269 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: Is 18053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24753 - 24676. What is the smallest common multiple of 378 and q?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8340066, 16680135, 25020204, 33360273?\n\"Answer: 8340069*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 1)*1235\/1197 and -83\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.941 and 5?\nAnswer: -4.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083269 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*j - 43491, 4*f + 398*j - 57990 = 403*j. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 30*b**2 - 34*b**2 + 2*b**2.\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -811900 divided by 706?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 6*u**2)*((5*u - 3*u - 3*u)*(48*u - 8*u - 11*u) - 3*u**2 - u**2 + 7*u**2).\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 273158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let d = s - 3.9. Let o = -0.3 - -0.2. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46368 divided by -46368.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 280\/50 - (-6)\/(-10). Suppose x*t + k - 2 = 0, 4*t = k - 1 - 1. Let u be 38\/2 - (-6 - -6). Solve 3*z + 5*a - u = 0, t*z + a = 5*z + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 30. Let d be 32000*(q + -1 - 52). Round d to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3. Let o be h(-1). Let f = 5 + o. Solve -3*j = 5*w + f, w - 2*j - 10 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-7 - (-1 - 5)). Calculate the remainder when 229 is divided by 8 - 4 - ((-72 - g) + 3).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 414?\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5676 divided by -14.\nAnswer: -2838\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/14, 2\/5, -62, -0.1, 214?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x. Let m be -3 - -2 - ((-818 - -1) + 7). Let r = m + -810. Determine s(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346064, -346007, -345924, -345827, -345728, -345639, -345572, -345539?\nAnswer: -345552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1207 = -78*j - 1445 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.463084 less than -0.0317?\nAnswer: 4.431384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177423944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x + 15*x + 8*x + 14*x. Calculate the remainder when v(1) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952700 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*c = -240. Find the second derivative of -c*d**5 - 3031*d**2 - 2*d + 47 + 3031*d**2 wrt d.\nAnswer: -800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -555669 and 192781572?\nAnswer: 193337241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/6 - 37\/42. Let k = 0 + 0. Let f = -13 - -12.9. Which is the closest to f? (a) k (b) d (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -371*s + 2229. Calculate u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1.2565.\nAnswer: -0.37695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjyyjyyoy. What is prob of picking 1 j and 3 y?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/14*14\/12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24*q + 58*q + 38 + 20*q + 26 - 6*q. List the prime factors of t(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143229 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l**2 + 1919*l - 631. What is y(53)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 20. Let s be z(9). Let h be s\/(35\/(-30) + 2\/12). Let y(j) = -1. Let a(i) = i**2 - 2*i + 4. Calculate h*y(m) + a(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.98 + 0.02. Let g = 0 + -1\/3. Let d = 107 - 107.1. What is the nearest to g in d, h, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/14 - 3*z**6\/10 + 3*z**5\/10 + z**4\/2 - 3*z**3\/2 + 3*z**2\/2 - 5*z. Let y(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 4*b + 3. Let u be h(3). Suppose u = 2*g + 4*m - 10, m = 4*g - 3*g - 11. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11868 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13947274 to the power of 1\/2, to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 127*x**2 + 254*x + 553. Let p be t(-125). Solve -15*k - p = 52 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 6 + (-4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4191.952819 to 1 dp.\nAnswer: -4192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 4, f: 14}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -25. Let a be (b\/(2 + -3))\/(-1). Which is smaller: 8\/13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4079 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)\/(16\/160). Calculate the common denominator of -107\/14 and 93\/2 - (-10)\/a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 1\/(-1)*-3. Suppose z*b - 8 = 7*b. Let m(j) = -j**2 + j + 2. What is m(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (-11968)\/(-224)) + (0 - 750\/14).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (4 - 2))*4\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**2. Let g(t) be the third derivative of 13*t**5\/60 - 2*t**2 - 7*t. Calculate g(s(p)).\nAnswer: 832*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:45 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980*s - 48 = -1974*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.949 - 0.051. Let k = -5\/22 - 45\/44. Which is the smallest value? (a) k (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -l - 4*l + 210, 0 = h. Suppose l = -5*z + 2*c, 3*z - 3 = -5*c - 53. Sort -14, z, 0 in increasing order.\nAnswer: -14, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -321*c**2 + 640*c - 5. Determine p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiiiiiiixi. Give prob of sequence ix.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-866 - -849) + 23 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269300 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -9 (b) -3\/5 (c) 2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2330647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + r = -15*k - 1, 0 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18020237 to the power of 1\/2, to the nearest integer?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401303533 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:57 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 47. Suppose -3*w = v*f + 35, 0*f - 2*f - 30 = 4*w. Put 3, 6, w in decreasing order.\nAnswer: 6, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2*x)\/x*x**(-1\/3)*x*(x\/(x*x**(-5)))\/(x*x\/(x*x**9*x))*((x**(1\/8))**(4\/35))**(-25) assuming x is positive.\nAnswer: x**(727\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 2 - (2 - -1). Solve x = -4*j + 4 + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-120) + 714\/(-45). Is (-1005)\/(-4) + 4\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*l - 6*l = -4, 4*l - 4 = 0. Which is the third smallest value? (a) n (b) 0.2 (c) -4 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 4*o**2 - 1663 + 836 - 6*o + 829. Let u(i) = 2*i**2 - 4*i + 1. Calculate 2*b(v) - 5*u(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 87, 78 in ascending order.\nAnswer: -5, 78, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323426 is divided by 8984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 69\/15)\/((-8)\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259503 and 3.\nAnswer: 778509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12721651.\nAnswer: 12721651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {m: 10, s: 3, u: 2}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 - 6*x - 1. Let t be 4*(18\/20)\/(-24 - (-3042)\/130). Determine p(t).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/117 + 398\/9. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6, v: 11, p: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + -11*1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72517.56 milliseconds to microseconds.\nAnswer: 72517560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r. Let c be d(1). Let a(i) = 2222 + 0*i**2 + 5*i**3 - i**2 - i**2 + 8*i + 2*i**2 - 2223. Let f(v) = -4*v**3 - 7*v + 1. Give c*f(h) - 5*a(h).\nAnswer: -h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20986839 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -33*x + 52. Calculate g(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -2?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u, -11 - 6 = -4*n - u. Suppose -n*f + 21*f = 26244. Let a = f - 371. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - 4*x + 6. Let t be -2 + (0 - -2)*-1. Let u(g) = g**2 - g + 1. Let y(l) = t*u(l) + i(l). Let w(r) = r. Determine w(n) - y(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*2\/(-12) - (-28)\/(-14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-18)*(-6 - 0). Let t be (6\/42)\/(v\/8). Which is the second smallest value? (a) 0.1 (b) t (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u - 2*u - u)*(-1 - 1 + 3) - 1 + 1 + u)*(-16*u**4 + 28*u**4 + 32*u**4).\nAnswer: 88*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8365 + 8367.2. Are -6 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -9*c**5\/5 + 101*c**4\/4 + c**2 + 6919*c - 2921. Differentiate l(x) wrt x.\nAnswer: -36*x**3 + 303*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47598544?\nAnswer: 2, 7, 61, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2473.256\nAnswer: -2473.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5759 to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 616588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2768 + 2771. Solve 2*w + z = 3*w, -5*l = -w + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 17*z - 8. Give p(7).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Let a be (-4)\/y*(-15)\/2. Is 12 a factor of a*(1 - (-3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/16 (b) 0.04 (c) -2\/15 (d) -1 (e) 0.4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 2 f when four letters picked without replacement from fddvvvfddffdddv.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 160 (c) -2\/3 (d) 296\/3 (e) 6\/13 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 25 = w, w - 10 = -w. Put -2, -1, h, 3 in decreasing order.\nAnswer: 3, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415730324 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - (-4 + 10)) + (14 - -21)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142, 238, 398, 622, 910?\n\"Answer: 32*g**2 + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7020 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-33)\/9 - 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - t + 5*t - 5 + 8*t**2.\nAnswer: 8*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 987.1 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + ((-22)\/(-30))\/(3\/(-9)). Factor -w*t**3 - 2\/5*t**5 + 6\/5*t + 2\/5 - 6\/5*t**4 + 4\/5*t**2.\nAnswer: -2*(t - 1)*(t + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2102623\/10 or 210262?\nAnswer: 210262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 87. What is the remainder when -29 - (19 + -99 - -18) is divided by l\/(-2)*(0 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 11*t. Let p be m(11). Suppose -23 = -2*h + z - 31, -3*h + 5*z - 5 = p. Let n(y) = 15*y - 1. Let c(x) = -14*x + 1. Give h*n(a) - 6*c(a).\nAnswer: 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 2*s + 1. Let k = 6 + -3. Suppose k = -5*l - 7. What is the units digit of h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:47 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 29901?\nAnswer: 29901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*6\/5. Suppose g + 5*v = 12, -9 = g - 5*v - 1. Let q be g - 7\/((-63)\/6)*-3. Solve q = -4*a - a + b*m + 20, 2*a - 3*m = 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*-3*sqrt(17) + -2).\nAnswer: -15*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 5:03 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8841 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onoe when four letters picked without replacement from nnoeooooeoonnnn.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -9. Let b = 29 - y. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 24 = x. Let z(k) = 8*k**2 + 6*k - 6. Let o(v) be the second derivative of -1\/2*v**2 + 1\/12*v**4 + 1\/6*v**3 + 0 + v. What is x*o(j) - z(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15)**20 assuming z is positive.\nAnswer: z**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sigmmsmegmmmmg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**3\/21 - 66*y**2 + 1840*y\/7 + 2866. Factor q(c).\nAnswer: 2*(c - 460)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 0.31?\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 3*k + 2*k + (4 - 1 - 2)*(-k - k + 4*k) - k + 2*k + 0*k)*(658 + 2181 + 3090) to r*k + t and give r.\nAnswer: 29645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.065 - -0.049. Let f = w - -0.037. Round f to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5 + 11*a**2 + 0 - 5*a + 8 + 83*a to b*a + n + o*a**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 45*u**2 - 18*u + 43. Let m be b(-23). Let q = 112 + m. What is the smallest common multiple of q and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 = -6. Differentiate -5*n**s + 3*n**3 - n**3 - 2 - 6 with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65221007981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 32155 + 111888 + 200342.\nAnswer: j + 280075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*r + 8*r. Let q(p) be the third derivative of p**5\/10 + p**3\/3 + 2*p**2. Does 13 divide q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 4*d**2 - 3*d)*(217 - 14*d + 273 - 581 + 11*d) in the form x*d + g*d**3 + b + k*d**2 and give k.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 155172\nAnswer: -201723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8836*i + 1445*i + 20198*i - 4235*i to c*i + q and give c.\nAnswer: 26244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10107876 is divided by 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 - 221. Find the second derivative of 96*p + 32*p - 547 - 97*p**h + 547 wrt p.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*k**4 + 0*k**2 + 1\/2*k**3 + 0*k.\nAnswer: -k**3*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 - (-3 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116182367?\nAnswer: 7, 16597481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 13, -4, 0 in descending order.\nAnswer: 13, 6, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28184240 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -9, -2, 9, 24?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 - 402. Let h = y - 138. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.97713s to weeks.\nAnswer: 0.000001615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + v = 236, -293 = -3*g - g + 3*v. Let f = g + -42. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (696\/812 - 20\/(-42))*(5 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23143.41*5.\nAnswer: -115717.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-30) - ((-98)\/10 + 9). Let r(u) = -7*u**2 + u. Let b be r(2). Let c be 4\/10 + b\/(-10). What is the smallest value in c, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000486 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -0.1, -5, -4\/3, -1.31, -14.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -308076980 rounded to the nearest 1000000?\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/21 and 149\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((15*s + 12*s + 14*s)*(0 + 3 - 4) + (0*s + 0*s + 2*s)*(-1 - 1 + 3)*(-1 - 3 - 1))*(-9*s + 0*s - 5*s) as a*s**2 + r + m*s and give a.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1578\/49? (a) 1.2 (b) 0.03 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:09 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.3, 2\/83, 4?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430291402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -11 - 1. What is the lowest common multiple of b and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -4. Let c = -14 + y. Let r = c + 1.016. Round r to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 11. Let f = 124 + -115. Suppose f*h = 14*h. Calculate t(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368b0 (base 12) to base 5\nAnswer: 4330420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -0.6, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18773488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.0144 (b) 3 (c) 4\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21813495 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/4)\/(3\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -3*x + 11*l, -3*x + 20 = -0*x - 2*x - 3*l for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/90*15856\/8919?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310594?\nAnswer: 2, 97, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -3.8204.\nAnswer: -3.5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -964*w - 4 - 6 + 10 to the form f + l*w and give l.\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*y = 3*y + 1, 0 = -5*l + 3*y + 19. Suppose -3*p = -l*q + 8, -2*q - 3*p = -0*q + 16. Put q, -3, 0, 3 in ascending order.\nAnswer: -3, q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:29 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141012 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167958337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*i**4 + 26*i**4 + 4 - 2*i + 2*i**2 - i**2 - 5*i**2 + 3*i**2 - 2*i**3 as m*i**3 + k*i**2 + c*i**4 + o*i + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.6523 and -139.\nAnswer: -133.3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64859664 divided by 12?\nAnswer: 5404972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2674255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-3)*6\/240*72. Solve 5*r + t = 4*i, -14*i + 10*i = 3*r - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238809415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 15263802.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -31 - (0 - -1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 563 and -0.0541.\nAnswer: 562.9459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -1. Let p = -3 - c. Suppose 7 = -p*o + 5*w, -o = -2*o - 3*w + 13. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 14*d**2 + d - 3. Let i be h(7). Calculate the highest common factor of i and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -24, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (2 + 1)) + 31 + (-17 - -10) + 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(11\/132). Suppose -3*c + 20 = 5*i + c, a*i = -c + 16. Suppose -w = 3*o - 38, i*o - 4*w - 48 = -6*w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 9*q**2 - 8*q + 1. Let u be i(-8). Which is the closest to 2? (a) u (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 2200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 842, 844, 848, 854, 862, 872, 884?\n\"Answer: k**2 - k + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -87*t**2 + t + 141. What are the prime factors of x(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:56 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1832*f - 3680.\nAnswer: 4*(f - 460)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6\/k)\/((k\/(k\/(k**(-3\/2)*k)))\/k)*k**5*k*k*k**2)\/((k\/((k*k**(-5\/2)*k)\/k*k))\/(k**(1\/3)\/k)*(k**1*k*k)**(-1\/2)) assuming k is positive.\nAnswer: k**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/143400 and -99\/28?\nAnswer: 1003800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595 and 35?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*n**4 + 3227*n**3 - 27*n**2 - 41*n + 20 wrt n.\nAnswer: -3984*n + 19362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-446.1.\nAnswer: 31.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 16*d**3 - 9*d**3 - 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*i = 4*a + 593*i - 83, -2*i = 2*a - 34 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22784 - -9801.995976.\nAnswer: -12982.004024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231869018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 20*o - 24. Let g be s(18). Suppose 6*k - g = 2*k. What is the remainder when 4\/k*(-2 + 2 + 6) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -25. Let b be (m\/2)\/(24\/256). Solve 4*c - 5*x = b - 2, c = 3*x + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43842997 and 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/12 + 0 + -2 + 6. What is the biggest value in f, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x. Let a(n) = -2*n + 5*n - 3*n + 2*n. Calculate k(a(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - -133214324?\nAnswer: 133214230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.178 * -23\nAnswer: -27.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 43680*r + 95397120.\nAnswer: 5*(r - 4368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26268343597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 9*q**2 - 19*q + 14. Is y(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-162)\/216)\/(53\/2 + 2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3335 * -0.2\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyv when four letters picked without replacement from yyyyvvvyyyyyvy?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156 - 160 - ((2 - -6) + (1 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -10?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 108116 + 721706.1?\nAnswer: 829822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyjjjryrqqqyyyyyqyy. What is prob of sequence jyqy?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*t**2 - 2\/9 - 4\/9*t.\nAnswer: -2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 8 - (2 - (2 - 1)). Let b be g*-1*(-2 - -3). Let m(w) = -w**3 - w**2 + 3*w - 3. Determine m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*t - 2*t. Let c be (-17)\/(-10) - t\/(-10). Suppose -d + 2 = -3*d. Is c at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127376 and 10.\nAnswer: 636880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22645, -45449, -68257, -91069?\n\"Answer: -2*v**2 - 22798*v + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1290 - 1244. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 20. Let z(q) = 8*q + 9. Let x be z(n). Let g = 226 + x. What is the highest common factor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*x - 54 = -138*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + (-36)\/(-27). Suppose 2*o - t*d = 26, o + 2*d - 10 = 6*d. Let v(i) = i**2 - 12*i + 14. Is v(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3312 (base 10) to base 7\nAnswer: 12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422850 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 54 = 3*t. Let i = 18 + t. What is the least common multiple of 30 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88424 - -88467.991. Let b = -0.009 - w. Let g = -36.9 - b. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 851582.646 - 852286. Let r = 703 + f. What is r rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -5 (c) 327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -9 + -16 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12547789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2349 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3470949, 3470947, 3470945, 3470943, 3470941?\nAnswer: 3470939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -88\/39101?\nAnswer: -88\/39101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*o + 24, -3*s = 5*o - 0*o + 6. Suppose -4*r + 6 = 2*u, s*u = 4*r - r + 9. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/23717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -180, -386, -672, -1038, -1484, -2010?\n\"Answer: -40*b**2 - 6*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p - 11 = -4*u, -36 = -4*u + 4*p. Suppose -3*k + 100 = 2*k. Solve k = -4*l + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 10*f - 6. Give w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrcrrcrc. What is prob of picking 1 r and 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + l - 17 = 0, -10 = -f - 0*f + 2*l. Solve -4*m + 3 = -9*m + 4*i, f*i = 3*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0, -10, -50\/31, 0.54, -1\/6, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/9 of a week in minutes?\nAnswer: 69440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37854.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173574 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4832)\/3775*(-60)\/(-288).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 290. Let h = -1 - -10. Suppose -5*j + h = l - 4, -s = -3*l + 4*j. What is the remainder when 34 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3782 + -3703. Calculate the greatest common divisor of 1817 and t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.4611 + 1136134\nAnswer: 1136253.4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 2144\nAnswer: 1286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93569408359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1456\/242 + -160 + 173 + (-1 - (17 + 1))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033709 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5860181613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 + i. Let c(y) = -3*y**3 - y**2 + y. Suppose 5*m + 0 = -5. Suppose -26 = -28*x - 4*x + 6*x. Give m*q(k) + x*c(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 7*t + 17. Let u be l(-5). Let k(o) = -o - 3. Let m be k(-6). Suppose m*v - 5 = -2. Solve -n + p = v + u, 4*p - 27 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21 and 16.21932.\nAnswer: 37.21932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/23452 and 17\/41041?\nAnswer: 164164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-162)*15\/5*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 12262?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*((-180)\/(-63) - -5). Calculate the highest common divisor of 220 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*b - 3*b - 1039, 2033 = -4*p + 5*b. Let q = p + 711. Calculate the remainder when q is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4 = -2*s + 4*s, -4 = -n - 4*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.6832g in milligrams?\nAnswer: 898683.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14509062 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2551661 or -2551663?\nAnswer: -2551663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + -18 + 24 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:06 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 4) to base 16\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4 - 22*w**3 - 16*w**2 + 40*w = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*a + 384*a - 75*a + 181*a)*((5 - 3 + 0)*(0 + 0 - 1) + 0 + 0 - 4).\nAnswer: -3858*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 5, 3\/2, -0.2, -0.09286 in descending order.\nAnswer: 196, 5, 3\/2, -0.09286, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y**5 + 0*y**2)*(-4 + 6 - 3) - 12 + 13*y**5 + 9*y**5 - 27*y**5 + 19*y**5 - 4*y**2 + 4*y**2.\nAnswer: 16*y**5 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5575*a = -5789*a - 160812 - 316476 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2*q + 4. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 420 (base 15) to base 9\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 292, -2\/13, 0.04, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -4510387?\nAnswer: -49614257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-297)\/(-99))\/((-96)\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2121 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 20700 = 17*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - 16*x**4 - 354280 + 2*x**4 + 354279 + x - 2*x**2 in the form u + w*x**3 + j*x**2 + p*x + h*x**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1294, -2723, -4416, -6505, -9122, -12399, -16468?\n\"Answer: -22*z**3 - 1275*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, y: 3, o: 6}. What is prob of picking 2 c and 2 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 25*b**2 + 268*b + 18. What is u(-19)?\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -182, -327, -512, -737?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, g: 6}. What is prob of sequence gnn?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -91. Suppose -61*w + 63*w - 114 = k. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 9:09 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -11187.\nAnswer: 10\/11187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 + 101?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 42*i - 1 = 9, 4*i - 24 = 4*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 81 - s - s + 110. Let i be g(-9). Solve 4*c - 2*h = i, -3*h - 10 = -c - 0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12396\/5 + 94\/(-470)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 2*y)*(-3*y + 6*y - y) + 0*y - 3*y**2 - y - 1 + 2.\nAnswer: -7*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513366.8 centuries to years.\nAnswer: 51336680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - 4. Let a be o(4). Let f be 4\/26 + a\/39. Is -5\/8 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 7:13 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 5112237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14682299 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467 * -0.2.\nAnswer: -93.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 38600 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4524939?\nAnswer: 3, 502771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 - 2*r + 3*r**2 - 6*r**2 + 7*r**2 to the form b*r + v*r**2 + s and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/44, -113, -12\/11, -3?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 636 - 376 - 260 + 7135*s to the form c*s + u and give c.\nAnswer: 7135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 550723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -4*i, -2*i - 4*n - 10 + 36 = 0. Is i at most as big as 6\/305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(1\/4)*i)**(4\/3))**15 assuming i is positive.\nAnswer: i**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*j + 180, -10*s + 444 = -15*s + j. Let h = s - -94. Suppose -z - 85 = -6*z. Solve -4*o - o = -4*m + z, 15 = -o - h*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 1, q: 5, c: 12}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 9 + -6)\/(6\/(-156)). Sort 3, u, -2, -23 in ascending order.\nAnswer: -23, -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/360 - j**5\/120 + j**4\/24 + j**3\/6 - 6*j. Let f(o) be the second derivative of m(o). What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0933329 and -3118521.\nAnswer: -3118520.9066671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -38 (b) -0.2 (c) -9 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:36 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*q + 5404*q + 562557 = 94*q for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -279.37 + 1.37. Let n = 176 + f. Let x = n - -101.99999949. What is x rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (239 - (-2)\/(-2)) + -4. Calculate the greatest common divisor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00575074 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**4 + 25*n**3 + 17*n**2 - 9*n - 9. Let y(s) = -4*s**4 - 12*s**3 - 8*s**2 + 4*s + 4. Let r(b) = -2*t(b) - 5*y(b). Determine a so that r(a) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxxxkyyyaikfkx. What is prob of picking 1 y and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.77205919 and 2.\nAnswer: 1.54411838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52330 + -3?\nAnswer: 52323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20292099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33461.\nAnswer: 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 139919*c + 139914*c - 109, 3*i = 2*c + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11121000 + 1?\nAnswer: -11120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (1*sqrt(75) - sqrt(75))**2*2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2728\/3410 - 6\/(-5). What is the closest to j in 13, 28, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-11)\/33 - 6\/9.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 1. What is the units digit of p(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 17 + 3. Let m be (-2 - f) + 11\/(-3). Let g = 56 - 54. Which is the biggest value? (a) g (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 23766 = 67583 + 17907. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, -42, -175, -434, -861?\n\"Answer: -7*c**3 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70232, 140475, 210812, 281237, 351744, 422327, 492980, 563697?\n\"Answer: -y**3 + 53*y**2 + 70091*y + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 16*d - 7. Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:11 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 23*u - 12*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15568, 16195, 17242, 18709, 20596?\nAnswer: 22903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 + 3*m - 6. Let u be w(-5). Suppose -480 = -u*k - 4*r, 0 = -0*k + 2*k - 2*r - 228. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -b5a?\nAnswer: b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 16.9, 31?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103434*j - 116399*j - 101297*j.\nAnswer: -321130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00986983 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1)\/g))\/g)**47\/((g**(1\/4)*g)\/g*g*g\/((g**(-4\/5)*g*g)\/g)*g) assuming g is positive.\nAnswer: g**(1819\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1191.81 hours?\nAnswer: 49.65875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808759.82 hours in weeks?\nAnswer: 10766.4275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 207957 = 4*b, -a = -366*b + 363*b + 155954. List the prime factors of b.\nAnswer: 227, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10, 75 - 31 = 4*i + 4*c. Solve g + 3*h = 17, 0 = 4*g - i*h + 11*h - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018 - 76958*m + 6*m**3 + 76958*m + 1018.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 286985084.4834 + -13.5.\nAnswer: 286985070.9834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:39 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100964691 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53377 - 88*g + 92*g - 50*g.\nAnswer: -46*g - 53377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*j - 53. Let f(o) = 149*o - 189*o**2 + 12 + 15 + j. Let c(a) = 47*a**2 - 37*a - 10. Let v(z) = 9*c(z) + 2*f(z). Factor v(l).\nAnswer: 5*(l - 1)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 956*b**3 + 75840*b**2 - 1971200*b - 2048000.\nAnswer: 4*(b - 80)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 2*a + 3*a)*(-2*a**2 + 5*a**2 - a**2) + 17*a - 6*a**3 - 17*a - 3 + 2*a**3 + 3 - 3*a**3 - a + a as s*a**3 + f*a + m + h*a**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*n = -0*i + 50, -117 = -5*i - 3*n. Solve -67 = 22*o + i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 50 - (-33 - 3 - -37)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -71. Let i = -17 + 34. Let h = o + i. What is the second smallest value in h, 5, -0.2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (11 - (4 + -1) - 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2 + -1\/6. Let j = 2035338\/31141 + -9978\/149. Let h = j - -34\/19. Which is the closest to s? (a) -3\/4 (b) 2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a2 - -133?\nAnswer: -16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/920 or 530257?\nAnswer: 530257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 34 + 118 - 12*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4300*r**2 - r - 3. Let t be a(-3). Round t to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3110 to the nearest 10.\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 - 15*d**2 - 11*d - 8. Let n(t) = -t**3 + 1. Let l(z) = k(z) - 5*n(z). What is the units digit of l(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**5\/u*u**(2\/11)*u)\/(u**(9\/2)\/(u*(u\/(u**(-2\/19)\/u))\/u)))**(-25))**(22\/7) assuming u is positive.\nAnswer: u**(-29125\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*x + 26 - 2, 5*h = 5*x + 40. What is the derivative of -h + 33*z - 33*z + 3*z**2 + 0 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 39*j**3 + 6*j**2 - 10*j + 11. Let y be g(7). Let d = -8204303\/9 - -64654795\/72. Let u = y + d. Find the common denominator of u and -31\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 2381743*x + 4*x**2 - 4*x**2 - 2381743*x - 3*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 203. What is the remainder when a is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341578 and 3124046?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2247*l + 3445. Let n(i) = -1123*i + 1725. Let q(g) = -2*k(g) + 5*n(g). Find the first derivative of q(u) wrt u.\nAnswer: -1121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/18)\/((-1)\/2). Let p be ((4 + -2)*k)\/1. Solve -5 = -r + p*h + 7, 5*r + 3*h - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175780016 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*s - 24, 44 = 5*s - 10*x + 9*x. Solve 3*i + 23 = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444240 rounded to the nearest 1000?\nAnswer: 444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/42*(-60 + 69)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from gjgzzjiggzjzgg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6873?\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-210))\/8*6\/(96\/40).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -8*v**7\/35 + v**5\/5 - v**4\/24 - 36*v**2 + 2. What is the third derivative of n(l) wrt l?\nAnswer: -1152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289288 divided by 72322\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2528426, 5056851, 7585276, 10113701, 12642126, 15170551?\nAnswer: 17698976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441341 is divided by 3222.\nAnswer: 3149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -51*u + 10. What are the prime factors of x(-4)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*u = 1651*u + 7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 6525572 + 3869639 - 3327503 + 3*a.\nAnswer: 7*a + 7067708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d + 3835*d**2 - 3760*d**2 to the form k*d + w + l*d**2 and give l.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 21*j = 20. Suppose -3*i + 40 = -j. Solve 2*s = 5*g, -5*g + i = 3*s - 8*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from cccnncncnc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -568, -549, -516, -463?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3 + 3 + 2). Suppose -2 - 34 = -f*j. Suppose j + 13 = 5*a. Solve 5*v - 2 = -4*p + 2*v, 2*v + 1 = -a*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1548 and 157968?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (61 - 4)*((-40)\/(-3))\/5?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/36*1\/((-16)\/6). Let q(p) be the third derivative of 0*p + 1\/120*p**6 - 1\/672*p**8 + 0*p**3 + 0 - n*p**4 + 0*p**7 + 0*p**5 - 2*p**2. Factor q(m).\nAnswer: -m*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.5 (c) 1611249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) -71 (c) 1\/9 (d) 735 (e) -2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 0 - (-152 - (-107 + -105)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3059651*h**3 - 2721866*h**2?\nAnswer: 18357906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*(-8)\/(-24))\/(4*(-2)\/(-168)). Solve -23*o = 16 + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 57 = 95. Solve g = 2*i + 4 - 0, 2 = -i - o*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by -74.\nAnswer: 56\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*(-18)\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 < 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 1, z: 2, i: 1, r: 2, j: 1}. What is prob of sequence zzji?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6065 = 5*i - 9*p, -1210 = -i + p. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 - 1263613*c**3 - 26999521?\nAnswer: -8*c**3 - 3790839*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -75.848, 2\/81, -0.1, -4\/7 in descending order.\nAnswer: 1, 2\/81, -0.1, -4\/7, -75.848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:36 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187)*2 - sqrt(27))\/(-2*(sqrt(9) + sqrt(9)*3) + sqrt(9)).\nAnswer: -17*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/(-23))\/((-1)\/(-2)*4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -s. Let q(c) be the first derivative of 3*c**2\/2 - 2*c + 2. What is the remainder when 46 is divided by q(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 3*a**2 + 5*a**2)*(a + 3*a + 0*a)*((-4 + 5 + 1)*(4 - 2 + 0) + 3 + 0 - 6).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2645*d - 9087*d + 238354 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -56 (b) 0.7 (c) -2 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2121 + 2341344?\nAnswer: 2344020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32135727?\nAnswer: 3, 13, 823993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009068859901 rounded to 6 decimal places?\nAnswer: -0.009069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(52) - (0 + 3*sqrt(13) + sqrt(13)) - -1*(-6*sqrt(65)*2 - sqrt(65) - sqrt(65))\/sqrt(5))**2.\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 233, 231, 229, 227?\n\"Answer: -2*a + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 + 16 = -3*r, -3*r - 2*z - 19 = 0. Let o(u) = u**2 + 15*u - 6. Let k(b) = 14*b - 4. Let y(s) = r*k(s) + 2*o(s). Suppose y(h) = 0. What is h?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3 - 124*m**2\/5 + 136*m\/5 - 16\/5.\nAnswer: 2*(m - 2)**2*(15*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1\/6, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225 or -11042\/49?\nAnswer: -11042\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 122?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194209408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -16. Let s(n) be the third derivative of n**4\/6 - 23*n**3\/3 + 16*n**2. Let h be s(11). Sort h, d, -3, -5.\nAnswer: -5, -3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 + -67 - (3 + 2)) + -21?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34500 divided by -69?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 83.2. Let y = u + -6.8. Let v(w) = w**3 - 3*w + 2. Let k be v(2). Which is the nearest to -1? (a) 0.2 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2074, -3.\nAnswer: -2074, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 139. Let t = u - -109. What is the second biggest value in 0.5, -0.02, -0.3, t?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 2*n - 1. Let m be u(1). Let y = 7 - m. Is 7 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/66 and 13\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 12 + 9. Let g = j + 30. Solve -z - 2*z - g = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6 = 0, -3*s - 10 + 28 = 5*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115.9 + -110. Let y = s - -0.1. Which is the biggest value? (a) y (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943520 divided by 16.\nAnswer: 58970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -13\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 13*f - 24*i - 1600 = 20*f, -3*f - 5*i = 341 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -180 = -15563\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 5, j: 5, t: 5}. Give prob of sequence xxst.\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-21) + ((-1)\/2)\/((-19)\/(-760)*-10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 5 (c) -0.4 (d) -0.535 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 229.0092?\nAnswer: -221.0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, -33, -0.3, 2, -0.2 in increasing order.\nAnswer: -33, -20, -2, -0.3, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3596 = -p - 3675, 5*f = 2*p + 133 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1471500 and 19620.\nAnswer: 1471500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.01416\nAnswer: 0.002832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3\/4 (b) -1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 15*x**2 - 15*x + 19. Let g be o(14). Find the second derivative of -7*l**g - 2*l**5 + 10*l + 6*l wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42 and 532.0168.\nAnswer: 22344.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 + -74726.\nAnswer: -74522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c + 1. Let y(u) = u. Give p(y(r)).\nAnswer: 12*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170913 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 3*z**7\/112 - z**6\/48 - 5*z**5\/48 - 5*z**4\/48 + 11*z**3\/6 + 13*z. Let p(l) be the second derivative of n(l). Factor p(i).\nAnswer: 5*(i - 1)*(3*i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - 27. Let y be 11\/f - (-9)\/4. Let u = 7 + -12. Sort 5, y, u.\nAnswer: u, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/210*-7*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbjj when four letters picked without replacement from bbjbbbujbjxbjbkubb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 96 - 74 + 2842*m - 252 - 519*m + 187*m. Let d be f(-14). Round d to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13333 (base 4) in base 7?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - 7) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/((-77)\/7) - 3. Solve -f + 5*f + 2*z = -6, 0 = -f - r*z + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -28. Let t(p) = -8*p**3 - 3*p**2 - 4*p - 2. Let z be t(y). Suppose -5*i + z = -2. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**3 - 6 - y**3 - y**3 + 0 wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2 + 2*x + 3. Let o be l(3). Let n be 260\/o + (-2)\/(-18). Let g = 52 + n. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407\/383783 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 17.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/5 - 3*o**4\/5 - 16*o**3\/5 + 4*o**2 + 96*o\/5 + 64\/5 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 3*r**4 - r**2 + 12 + 6*r**4 - 2*r - r**4 to the form m*r**3 + k + w*r**2 + z*r + i*r**4 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - 2*a**2. Let v = 4 + -1. Let l(c) = 14*c**3 - 5*c**2. Determine v*l(d) - 8*z(d).\nAnswer: 2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 - k + 2. Let o be 54\/24*8\/(-3). Determine u(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 41. What is the common denominator of b + ((-21)\/6 - -4) and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 - 2*l + 259. Let t(g) be the second derivative of -g**3\/3 + 2*g**2 - 3*g. What is -11*j(n) - 6*t(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23963*o**3 + 27399.\nAnswer: 71889*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(1\/7)*i*i)**(-5\/6) assuming i is positive.\nAnswer: i**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1571881714 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2 - l - 16. Let q be m(0). Let v = 20 + q. Suppose h - 6*h - 11 = 2*x, v*h = 2*x - 16. Solve 0 = 5*p, 5*s = x*s + p + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416441323?\nAnswer: 416441323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.942119 - -0.6.\nAnswer: 1.542119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 176*s**2 + 7*s + 10. What is the units digit of n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgicegeieiwe. Give prob of sequence ciwc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/95000 and -49\/76000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103170244?\nAnswer: 2, 79, 9820159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265 - -292. Calculate the greatest common divisor of 459 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + 0 - sqrt(252)) + sqrt(56)\/(1*sqrt(288)) - (sqrt(1715)*-3)\/((sqrt(20)\/sqrt(2))\/sqrt(2)).\nAnswer: 127*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -2225, 5 in descending order.\nAnswer: 5, 4, -3, -2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-13))\/y**(-1\/3)*(y\/(y*y**(-3)))\/y*y\/(y*y*y**3*y) assuming y is positive.\nAnswer: y**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -12359539050 to the nearest 1000000.\nAnswer: -12360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.41583, 0.4, 25, 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*f, 42*s - 43*s = 2*f. Solve s = 10*q - 4*q - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 257*h - 5369. What is p(36)?\nAnswer: 3883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2380 and 40.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 61 = -65, 3*g + f - 46802 = 0. Is g a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13653187799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.48 + -12.480000539. Round y to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2. Let n(y) be the third derivative of -y**4\/3 + 9*y**2. Determine n(h(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85672*p - 85751*p = -395 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010892005 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20727, -41490, -62253, -83016, -103779, -124542?\n\"Answer: -20763*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4009080 is divided by 906?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-1)\/3 - -1)*36 and (52\/(-182))\/(55\/56 + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47277776 divided by -247.\nAnswer: -191408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558304 and 4964.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 327114.6 nanograms?\nAnswer: 0.3271146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3 + x**2 - x + 2. Let t(n) = -n**2 - 3*n + 1. Let d be t(-3). Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263237.\nAnswer: 13, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*j + 3*s, 0*j = 2*j + s - 9. Suppose j*o - 18639511 - 9360489 = 0. Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187586184.\nAnswer: 2, 3, 7816091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487.5337 times -1?\nAnswer: 1487.5337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*j + 5, 2*j = 4*a - 7 + 1. Let z(u) = -4 + 2*u**2 - u**3 + 3*u**a + 6*u - 2*u. Is z(4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -403323753*b. Let i(a) = 2*a**2. Determine i(k(p)).\nAnswer: 325340099468010018*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3427 is divided by 382.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168114114 and 205472806?\nAnswer: 1849255254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74113529?\nAnswer: 7, 31, 97, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4568 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 7)\/((-3)\/(-2)). Suppose -30 + 16 = -14*a. What is the closest to d in -0.2, 0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 - -4)) + (7 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -197.\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 57. Determine d(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 303. Suppose -o*s = -16 - 0. Are 7 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -19. Let z = 40 + -35. What is the remainder when o is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/10 - (-1)\/(-5). Suppose -2*b = -r*b + 90. Let n = -211 - -481. Calculate the greatest common factor of n and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5\/5 + 474*c**4\/5 - 471*c**3\/5.\nAnswer: -3*c**3*(c - 157)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148366\/5 + 21360869\/720. Let r be (4\/42)\/(3408\/(-225638)). Let f = r - w. Find the common denominator of f and -35\/44.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8045.325 weeks to microseconds.\nAnswer: 4865812560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 4. Let s(y) = -3*y + 7. Let b(g) = -5*d(g) - 3*s(g). Let v be b(8). Let z = 15 + v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16932 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**3 - 4*k + 2. Let m(d) = d - 1. Suppose 5*i = -13 + 3. Calculate i*m(a) - b(a).\nAnswer: -11*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26952 * 11.\nAnswer: 296472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429 - -143. Let h = -167 - i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 14)*(-5 - (-146)\/30). Let h = -2516888\/367 + 6858. Let t = -724\/1835 + h. What is the second biggest value in t, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 488\/24 + -47 + -7 + 35.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g**3 + 1\/140*g**5 + 0*g**4 + 0 + 0*g - 11*g**2 - 1\/280*g**6. Factor a(t).\nAnswer: -3*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241285187 divided by -1427723?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(113*g**3 - 8*g**3 + 111*g**3).\nAnswer: 216*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2*(-2)\/(32\/12). Suppose -2*q - 2*z = -7*q - 18, -q - 7 = w*z. Let l be (1 + (-14)\/q)\/((-18)\/(-144)). What is the highest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y - 3. Let m(o) = o**3 + 7*o**2 + 3*o + 9. Let b be m(-7). Let n = b - -15. List the prime factors of c(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.8 and -1754224490.4?\nAnswer: 1754224483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Suppose 0 = 2*r - 19 - 17. Let k = r - 13. Solve -k*m - 20 = -m, -27 = i + y*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2742 + 15*c**3 + 49*c**3 + c + 24*c**2 - 2743 in the form q*c**2 + j*c + z + i*c**3 and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 627\/746 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 51. Let d(a) = -a**3 - 10*a**2 + 8*a + 15. What is the smallest common multiple of d(m) and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 43, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5597 - 5589. Let 17\/2 + w*j - 1\/2*j**2 = 0. What is j?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -12, -0.9, 2.8?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -15.78, 3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 5\/24*b**4 + 0 + 2*b**2 + 0*b**3 + 0*b. What is r(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55225\/7 - 164266\/7*f**2 - 1\/7*f**5 - 165205\/7*f + 467\/7*f**4 - 53818\/7*f**3 = 0. Calculate f.\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.6. Let z = 1.8 - 1.98. Let j = z - -0.28. Which is the third biggest value? (a) 0.4 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -221*i - 871. Let u be v(-4). What is the highest common divisor of 11 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -326 - -332. Solve 6*j - 12 = -z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 1. Determine s(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (7372\/8 + 2)*(2 + (-11 - -11)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 6:37 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3. Let a(n) = -8*n**3 - n**2. Let v(f) = 4*a(f) - 7*h(f). Factor v(i).\nAnswer: -4*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/5)\/48*18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/11 + 2138046*k**2\/11 + 1142810174529*k\/11.\nAnswer: k*(k + 1069023)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -747770 (base 8) to base 4.\nAnswer: -330333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - (-1)\/2. Suppose m - 4*f - 37 = -f, 4*f + 12 = l. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:34 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*-2 + (sqrt(99) - -2*sqrt(99)*-1))\/(1*-2*sqrt(729))*-1.\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/c**(1\/2))**(-4\/31) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t**2 + 46*t. Let q(h) = -3*h**2 + 11*h. Let y(u) = -18*q(u) + 4*r(u). Let o be y(3). Calculate the greatest common factor of o and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 4642 - 1847. Let k = 931 + w. Put 15, 2, k in increasing order.\nAnswer: 2, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2923\/1887 - 2\/(-17). Let g = 2 + -1.92. What is the second smallest value in g, b, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1775*o + 1770.\nAnswer: 5*(o + 1)*(o + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o + 5. Let b be q(-3). Is 18 - -5*(b\/(-5) + 0) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 282, 427, 588, 771, 982, 1227?\n\"Answer: m**3 - m**2 + 131*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 38 + 53 = -5*n, -7 = n + 2*r. Is -2*(-2)\/(-3)*n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let g(i) = -2*i**2. Let h(d) = -g(d) + 3*o(d). Let r(a) = 5756*a**2. Give r(h(n)).\nAnswer: 5756*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992311 divided by -43.\nAnswer: -23077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013123087 to five dps.\nAnswer: 0.01312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10121*z**4 + 5*z**3 + z**2 + z - 2280007 wrt z?\nAnswer: 40484*z**3 + 15*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 173.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 4:46 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * 0.2092.\nAnswer: -20.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 6.9, 1113, -8\/233?\nAnswer: -8\/233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(77)*-1*-1)\/sqrt(252))**2.\nAnswer: sqrt(11) + 335\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 242*o - 34. Let g(a) = 51*a - 7. Let d(t) = 19*g(t) - 4*l(t). What is d(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.365448 - 0.3679. Round y to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 15*h + 36 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaamvawwagwia. Give prob of sequence gm.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32546000 rounded to the nearest 100000?\nAnswer: 32500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 + 3*l**2. Let f be g(6). Suppose f*d - 1829*d = 0. Put 11, 1, -2, d in decreasing order.\nAnswer: 11, 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/5 - (-10 - -1). Suppose -4*y + a*y = 0. Suppose y*n + n = 6. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1795*j + 27. Is w(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27 and 2.078039.\nAnswer: 29.078039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 4*p + 28 = -104, -4*i + 0*p = -4*p + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -454 + 1336. Let c = q - 486. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) 3\/7 (c) 0.4 (d) 2 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -835418.55 to the nearest 1000.\nAnswer: -835000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5, g: 1, f: 2, m: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*j*l - 67*b*j - 6*b*l + b + j*l + j wrt l.\nAnswer: b*j - 6*b + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, c: 3, e: 2}. Give prob of sequence ec.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 1.2. Let p = -0.18 - i. Let r = 0.22 - p. Are -1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.4 - -15.7. Let l = -61 - s. Let f = l - -3.30000068. What is f rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t - 57. Let d be y(-12). Let c(n) = -n - 5. Let v be c(-4). Suppose 3*h + 10 = -f - 5, 3*f = 3*h + 15. Sort d, v, h, -4 in decreasing order.\nAnswer: d, v, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1 (b) -7.83 (c) -246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/((-13468)\/(-1911)) - (-43585)\/(-2075)?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2653 (base 7) to base 4.\nAnswer: -33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:22 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 955.419 centuries?\nAnswer: 95.5419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/10*12\/(-72)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.50545 - -0.70545. Let v be 4\/(-11)*1\/2. Which is the closest to w? (a) 1\/4 (b) v (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/5, -0.91, 4, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075918 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h. Let l(z) = 13*z**2 + 2*z. Calculate l(m(n)).\nAnswer: 117*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.01 (b) 2 (c) -0.2 (d) 5\/4 (e) -101\/318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 28*w - 5. Let t(z) = 14*z - 3. Calculate 5*t(d) - 3*v(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0 + 4. Solve 0 = -p + r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (8 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 3*b - 22. Let y(o) = -o**3 + 8*o - 2. Let w be y(3). Let m be s(w). Solve j + a + 2 = -3*j, -m = 5*j - 4*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4173, -16491, -37023, -65769, -102729?\n\"Answer: -4107*i**2 + 3*i - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f**2 - 2*f + 1. Let b be a(-5). Suppose 115 = 5*k - l + 306, -4*l - 94 = 2*k. Let d be (-3)\/(-39) + 42\/k. Put d, b, 5 in descending order.\nAnswer: 5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -10341778?\nAnswer: 3102533.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -8. Let a be 3*t\/((-3)\/(-2)). Suppose 67 = a*o - 151. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203690430 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 24*n**2 + 23*n**2 + 24*n**2 + (-5 + 5 + n**2)*(-6*n**3 - 22*n + 22*n).\nAnswer: -3*n**5 + 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4923248*5.\nAnswer: 24616240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9770000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 33309913*s**2\/4 + 69346898167962*s - 69346889840484.\nAnswer: (s - 16654956)**2*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26238, 26242, 26246?\n\"Answer: 4*b + 26234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cff when three letters picked without replacement from ffccccccccc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3243 by 12.\nAnswer: -1081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 5*w**2 - 3*w**2)*(-w + 1 + 5 - w).\nAnswer: 12*w**3 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + (sqrt(180)*2 + sqrt(180) - sqrt(180))))**2*-6.\nAnswer: -69216 + 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 78 = -3*n - 117, 0 = i - 5*n - 205. Let c = -161 + i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3189 + 6376 + 2*i**3 + 2*i**4 + 3*i - 111*i**2 - i**3 - 3187 as p*i**2 + t*i**4 + w + y*i + u*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-30)\/26*14 - (-60)\/39*30.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 1. Let m = -7 + 2. Is b(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6*a + 6. Sort a, 1, -11 in descending order.\nAnswer: a, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -1) + -34 + (26 - 47)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 6*m**4 - 3*m**3 - 6*m**2.\nAnswer: 3*m**2*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 121 - 19 = 0. Calculate the highest common factor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and 96368?\nAnswer: 6842128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - j - 13, -j = -n - 0 + 1. Suppose -w - 3 = -3*v, -15*v - 2 = -n*w - 10*v. Solve w*d = -a + 9, -3*a + 4 = 2*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51687*c**2*n**3*q**2 - 11*c**2*n*q**3 - 5*c*n**3*q**3 - c*n**2*q**3 + 7800*c*n**2 + 2*n**3*q - 5 wrt c.\nAnswer: 103374*n**3*q**2 - 22*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 76.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 25*i**2 - 2. Calculate t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22470 and 5243.\nAnswer: 157290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 1 l when three letters picked without replacement from {c: 7, l: 7, v: 3, s: 1, g: 2}?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 divided by -5698.\nAnswer: 21\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100, -204, -308, -412, -516, -620?\n\"Answer: -104*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2688 (base 14) in base 4?\nAnswer: -1222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11999 - 5?\nAnswer: 11994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15227?\nAnswer: 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 + 182*a**3 - 2709*a**2 + 6910*a + 9800 = 0. What is a?\nAnswer: -196, -1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*n + 511 = 0, -4*g + 4*n + 402 = 3*n. Suppose -4*q - 85 = -0*i + i, 4*i - g = 5*q. List the prime factors of (-8)\/(-12)*q\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 722*x + 2562. Calculate m(-4).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/811053 or -1?\nAnswer: 11\/811053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2583, 2567, 2523, 2439, 2303?\n\"Answer: -2*q**3 - 2*q**2 + 4*q + 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:28 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 16 - 14 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 243?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118283 + 512?\nAnswer: 118805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40865 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2525, -10051, -22573, -40091, -62605, -90115?\nAnswer: -122621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.126*50.\nAnswer: 856.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 266081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 4, 0, -4, -3, -263 in decreasing order.\nAnswer: 12, 5, 4, 0, -3, -4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71687, -286755, -645205, -1147037, -1792251, -2580847, -3512825?\n\"Answer: -71691*k**2 + 5*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 6*z**2 + 17*z + 25. Give g(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:54 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.467839us?\nAnswer: 0.000009467839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 10. Let n(j) = -23*j - 7. What is -n(v) - 2*q(v)?\nAnswer: 19*v + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 361 - 401. What is the greatest common divisor of c and 2360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/5 and -63\/440793442.\nAnswer: 2203967210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -m - 0, 0 = 5*w + 4*m - 20. Suppose 0 = 5*c - 2*i + i - 181, -3*c + 4*i + 112 = w. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 3 (c) -0.1 (d) -4\/7 (e) -345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose -q - 2*q + 3*h - 30 = 0, 2*q + 2*h = -4. Let i be (4\/q)\/(-1) - 48\/(-9). What is the tens digit of (-14)\/(-84) - (-173)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.044 + 0.344. Which is the closest to 0.8? (a) -1 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let m = -3 - x. Let v(z) = -z**2 + 2*z. Let d be v(2). Sort 0.5, m, d.\nAnswer: d, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890017 to the power of 1\/2, to the nearest integer?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-4)\/((-1 - -3)\/(-34))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/180 + b**5\/40 - 25*b**3\/2 - 59*b**2. Let i(s) be the first derivative of m(s). Calculate i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421 (base 5) to base 2\nAnswer: 1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2216 + 17847\/8. Let s = z - 15. Which is the nearest to -2? (a) s (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 9*t - 10. Suppose 3*l + 20 = 5*l + 2*i, 0 = 2*l + 3*i - 20. Give g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 6*t - 26. Let z(b) = -2*b**2 + 3*b + 13. What is 4*f(d) + 7*z(d)?\nAnswer: -2*d**2 - 3*d - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -19.8, 3, 20\/27, 1 in increasing order.\nAnswer: -19.8, -6, -4, 20\/27, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -466*f - 3. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8744 + 8754. Put 2, -1.07, j in descending order.\nAnswer: j, 2, -1.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8827 * 0.4\nAnswer: 3530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115 - -177074?\nAnswer: 177200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48.1018 litres?\nAnswer: 48101.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 5011353221?\nAnswer: -5011353204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.248 - -0.848. Let l = 17 - 6. Which is the nearest to l? (a) t (b) 1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-102))\/(100\/40). What is the nearest to l in 7\/23, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.27, -74, -0.007, -3?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*s - 7. Let h be s + (-1 - 8\/4). Suppose 5*u = -h*v + 68, -2*u + 34 = 2*v - 4*u. Solve -2*q - v = -5*p, 2*p - 4*p = 4*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1270*r + 45 - 7 + 53. Is m(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1017 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:03 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/819 and -109\/12.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 - p - 3 + 3.\nAnswer: 20*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25920 and 480.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:18 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2477467, 4955150, 7432833, 9910516?\n\"Answer: 2477683*s - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7080819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51605348 and 0.5.\nAnswer: 25802674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, -1, 662170, 4 in descending order.\nAnswer: 662170, 4, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 16 + (-6 - (1 - 20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.057231mm to meters.\nAnswer: 0.008057231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -2. Suppose -4*k = c - 18, c + 0*k = 4*k - 14. What is the least common multiple of q and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -165*d**4\/2 + 39*d**3 - 318. What is the third derivative of g(n) wrt n?\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*y**5 - 7*y**2 + 38*y**5 - 10*y**2 wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54436538 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 591\/8*i**3 + 4293\/2*i - 3357\/4*i**2 - 729 - 15\/8*i**4 = 0?\nAnswer: 2\/5, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 27*j**2 - 97 + 35*j**2 + 697 + 620*j + 5*j**3 + 108*j**2 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-36)\/(-20)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 12*f**2 + 35*f - 19. Give y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14242 (base 8) to base 11.\nAnswer: -4813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 - 373*b**3\/3 - 2020*b**2\/3 - 988*b + 144 = 0. What is b?\nAnswer: -18, -4, -3, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4078*c**2 + 4*c + 8*c + 1 + 8 - 7*c.\nAnswer: 4078*c**2 + 5*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, 1\/2, -6, -8\/5 in decreasing order.\nAnswer: 1\/2, -8\/5, -2, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924744 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - 70. Let p = u + 115.0137. Round p to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvvvxmxmv. What is prob of picking 1 x and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 - 5*y - 2. Let n be h(5). Let z = n - 17. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25976230 is divided by 2536?\nAnswer: 2518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -69. Let f be s\/(-11) - (-6)\/33 - -8. Is 31 a factor of 109 + f*8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(0*h - 2*h + 4*h)*(-1426*h**3 + 2*h**2 + 1814*h**3 - h**2) to b*h**3 + l*h**2 + w + q*h + j*h**4 and give j.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 249839111017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15*v + 6. Let b be k(7). Let t = b + 116. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -14)*(-6)\/360*6\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 358452, 716903, 1075354, 1433805, 1792256?\n\"Answer: 358451*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140.3 and -23?\nAnswer: 3226.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**4\/11 - 926*i**3\/11 - 674*i**2\/11 + 8334*i\/11 + 5580\/11 = 0. Calculate i.\nAnswer: -3, -2\/3, 3, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 3, b: 5, x: 6}. What is prob of picking 1 q and 2 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)*t)\/t)\/t*t*t*t**(-9)\/t)\/(t**(-1)*t)**(39\/2) assuming t is positive.\nAnswer: t**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -111, -388, -931, -1830, -3175, -5056?\nAnswer: -7563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 11*w**2 + 18*w + 85. What is the remainder when 1102 is divided by q(9)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiixxxiiiiiii. Give prob of sequence ixxi.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 20. Let d be (-7)\/42 + 49\/x. Solve d = -5*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1173651\/2)\/(-13 - (0 + 243\/(-18))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h + h**4)*(6 + 0 - 1) + (-h**3 + 3 - 3)*(-4*h + 2*h + 0*h) in the form u*h + j*h**3 + q + l*h**2 + w*h**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14905 is divided by 13700?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -103173\nAnswer: 10317.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**2 - 100*s**2 + 2*s**2 + 5*s**2 + 7*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 + 8*x + 16. Let f be w(-5). Let z(o) = 2*o**2 - 3*o + 1. Let c be z(f). Let v(l) = c*l**2 + 11 - 3*l - 15 - l**2 - 3*l. Give v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + -0.02718574?\nAnswer: 103.97281426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*o + 6888 = -1468*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 6284?\nAnswer: 6284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:35 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268.3 less than -7158826?\nAnswer: -7160094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*b**3 - b**2 - 2 + b**3 to x*b + f + t*b**3 + r*b**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -16382, 3 in increasing order.\nAnswer: -16382, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2\/11 - 192*p - 50688 = 0?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 7) + (-22 - -14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 2*q - 5. Let x(v) = 12*v**2 - 5*v - 11. What is -9*k(h) + 4*x(h)?\nAnswer: -6*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2044 = 2028 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - 6*j**2 - 30*j. Let g = 17 + -22. Calculate the remainder when p(g) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:58 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837767970 + 1.\nAnswer: 837767971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*w + 15 = -0*u, -4*u + 2*w = -20. Suppose -f - 5*m - 6 = -2, 0 = 4*f - 4*m - 8. What is the smallest value in f, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/372204 and -67\/1688.\nAnswer: 744408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 36*k = -182. Let v be 5464\/26 + 14\/k. Suppose 3*c - v = -3*n, 318 = 5*n - c - 2*c. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3060 or -792564\/259?\nAnswer: -3060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*m**2 - 2516*m + 416 = 0 for m.\nAnswer: -13, 8\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -870, -872, -876, -882, -890, -900?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 37440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 414*x**2\/5 + 822*x\/5 + 82.\nAnswer: 2*(x + 1)**2*(x + 205)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 42, 124, 278, 528, 898?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 + 4 = -5*m, 0 = 5*m + 4*q - 26. Solve 3*k - s + 6 = 0, 0*k = m*k - s + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211020 + 2?\nAnswer: 211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -56*y**2 - 3*y + 45. Let l be m(15). What is l rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1870 - -1875. Which is the closest to 1? (a) l (b) -8\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1122*g**2*w**3 - 117*g*w - 3*w**3 wrt g?\nAnswer: -2244*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30374?\nAnswer: 2, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*i - 3*r + 28, -2*r = -4*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from rryifcffyjirfrrrrcr.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.16017 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -864.9211 times -0.2\nAnswer: 172.98422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 26*o**3 + 9*o**2 + 10*o - 17*o**3 - 15*o**2. What is the units digit of g(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 w, and 1 i when four letters picked without replacement from wiiwwwqqaqiiy?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 159132313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let c = 124 + -91. Let o(s) = 19*s**2 - c*s**2 - 7*s**2 - 7*s**2. What is o(z(h))?\nAnswer: -112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5214 + -3913. Which is smaller: v or 2603\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/7)*m**(-8))\/(m**(1\/3)*m*m)**(-17) assuming m is positive.\nAnswer: m**(692\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10481 - 11014.7. Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(6\/6488) + 10.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -23 - (4 + 2 - -4)) + 10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 6*f + 11\/6*f**3 - 69\/2*f**2 + 2. What is the derivative of p(l) wrt l?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 5*k + 117 = 76, 5*t - 3*k - 2*k = 45 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 153\/7, -1\/3, -2\/9, -2\/15 in decreasing order.\nAnswer: 153\/7, -2\/15, -2\/9, -1\/3, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16080 is divided by 2669.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 983*d**2 + 982*d**2 - 1963*d**2 + 472*d in the form f*d + i*d**2 + b and give f.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124168350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982299 is divided by 491125?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2120)\/56 - (-12)\/14. Is p less than or equal to -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -1\/150*r**6 + 0*r**3 + 4*r + 0 - 3\/100*r**5 - 1\/30*r**4 + 0*r**2. Let h(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 - 24*v - 39. Let d(z) = -3*z**2 + 16*z + 25. Let u(n) = 8*d(n) + 5*o(n). What is u(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27 - 2*v**2 - 27. Let c(l) = -1362 + 50*l**2 + 1362. Calculate y(c(r)).\nAnswer: -5000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -985560*c. Let s(u) = -6*u**2. What is q(s(j))?\nAnswer: 5913360*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10\/3 + 3. Sort 3, c, 4 in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdxp when four letters picked without replacement from {c: 1, x: 3, q: 3, d: 1, p: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 7*s - 7*s + 2*y, 17*s = -5*y + 87 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-16)*(-80)\/28)\/((-10)\/12). Let k = -1.8 + 1.8. Which is the third biggest value? (a) v (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98277272 divided by -8857.\nAnswer: 11096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17263*y - 9823 = -16370*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815931 + 815931 + 81*d**2.\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*y + 8 = 0, 4*b - 4*y + 14 = 2. Let n be (b\/7)\/(2\/(-7)). Factor h**3 + 11*h - 5*h**n + 14*h**3 - 27*h + 6*h.\nAnswer: 5*h*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 7\/36*c**3 - 1 + 0*c**2 - 1\/72*c**4 + 114*c. Suppose n(o) = 0. Calculate o.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418\/7 - 4633\/77. Sort z, -4, 1.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358\/5 - 72. What is the second smallest value in -0.5, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 50*j = -204. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*p - 63593 = 86*p - 2129 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -15*r**4\/2 + 8079*r**3\/2 - 12855*r**2\/2 - 17763*r\/2 + 11277 = 0.\nAnswer: -7\/5, 1, 2, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y + 13*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -5.593359?\nAnswer: 5.193359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -403, -790, -1177, -1564, -1951?\nAnswer: -2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from {u: 1, n: 2, i: 2, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.52 + -5. Let k = 0.08 + y. Let v = 0.2 - 0.3. Which is the closest to -0.1? (a) k (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 625999794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-4)\/420*-1*(-8)\/(-16).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4701*s + 266828 - 228672 = -370831 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -737\/397?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 56 - 232. Suppose 3*b = 2*r - 6 - 2, 2*b + f = 4*r. Do -1\/113 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/27)\/((-2)\/(-6)). Suppose g - 50 = h, -3*g + r*g = 5*h + 42. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22327751.8 to the nearest one thousand.\nAnswer: -22328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 3, n: 1, f: 1}. Give prob of picking 1 f, 2 k, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4115 (base 8) to base 9.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s + 211. Give o(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10872, 9587, 6090, -729, -11980, -28773, -52218, -83425?\nAnswer: -123504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.5, -0.0116, 0.0284.\nAnswer: -0.0116, -0.01, 0.0284, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108132.9 millennia in decades?\nAnswer: 10813290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 29 = -2*l, y = 2*l + 2 - 3. Let z = l + 5. Let b = 8 - z. Solve -8 = -b*k + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (11 - 7)) + 11. Sort 3, 74, v, 2 in descending order.\nAnswer: 74, v, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-3*i - i - 4*i)*(-47 + 18 - 12).\nAnswer: -328*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let i(u) = 9*u + 17. Let g(y) = 3*y + 6. Let v(a) = 17*g(a) - 6*i(a). Let b(z) = 13*z. Let r(m) = -2*b(m) - 9*v(m). Give q(r(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d**3 - 2*d**3)*(2*d**2 + 0*d**2 + 0*d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y = 21*y + 2483310. Does 115 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188254 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19 (b) 0.602 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 5, 126, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184570000 rounded to the nearest 1000000?\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/12)\/((-40)\/(-48)). Solve 2 = -2*s - i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23728*j - 23732*j - 23732*j + 94923*j - 23733*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74896182511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/16 and -19\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/52 - 17\/13. Suppose 0 = -2*s + 5*n - 17, 2*n - 6 = s - 0*n. Let k = -175\/9 - -19. What is the second biggest value in s, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*1 + (sqrt(5040) - (sqrt(5040) + sqrt(5040)*4)) + sqrt(5040))\/(-6*(sqrt(700) - (sqrt(700) + sqrt(700)*-2*1 + sqrt(700)))).\nAnswer: 11*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 + 8*m - 18. Determine z(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -15876091.9?\nAnswer: -15876121.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 2538?\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 3\/2*h**2 + 5 - 4*h. What are the prime factors of u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339369*b**3 - 254671*b**2 wrt b.\nAnswer: 2036214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 22\/13, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*h + 498 = 0, -3*h - 86 - 157 = -m. Suppose 3*p = -3 - m. Let w = p + 151. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155719 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 487 - 9737\/20. Let g = -27\/20 + s. Let d be ((-6)\/(-8))\/((-27)\/18). Which is the second smallest value? (a) 0 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 723*h**3*j*z - 4*h**3*j - 2*h**2*j + h*j*z - 6*j*z - 66*j + 3 wrt h?\nAnswer: 4338*j*z - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.029908 (b) -33 (c) 44\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(121)\/(-2*sqrt(11)) + -2 - (-3 + 3*(1*sqrt(1331))**2)*-1.\nAnswer: 2*sqrt(11) + 3987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -4) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57.23 - -4\nAnswer: -53.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40189 + 6070*w**2 - 40189 to b*w + r + v*w**2 and give v.\nAnswer: 6070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -434401 (base 6) to base 7\nAnswer: -206650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/((-18)\/(-10)). Let r = -1.1 - -0.2. Let p = r + 0.9. What is the smallest value in g, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169793629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 27004*d**2 - 53996*d + 26996.\nAnswer: -4*(d - 6749)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f3c (base 16) to base 12.\nAnswer: -4764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + (-6 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92319*m**4 - 34*m**2 - 36*m - 14.\nAnswer: 2215656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 + 0*z**3 + z**3)*(-3*z + 0*z + z)*(-39 - 9 - 2) to v*z + o*z**2 + l*z**4 + p + q*z**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*1*(-10270)\/474\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. What is the biggest value in m, -0.09, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 51*t + 92 = 39*t + 25 + 537, 2*w + 3*t = 124 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2029 - -2022.98. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 - 585. Let u = 622 + n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (-8 - -4) - (-1 + -18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 95*z + 95*z + 3*z**2)*(z - 3*z + 4*z).\nAnswer: 2*z**5 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(-7*p + 13*p + 12*p)*(2*p**2 + 4*p**2 - 8*p**2) - 2*p**3 + 3*p**3 - 2*p**3 to the form a*p**2 + j*p + t + v*p**3 and give v.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 8*p**2 - 5*p - 11. Let t be c(7). Let f(k) be the second derivative of 5\/12*k**4 + 0 + 5\/2*k**2 - k + 0*k**t + 1\/20*k**5. Give f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -324 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29444 is divided by 4937.\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*27\/45*-5. Let l(n) = -12*n - 10 - 18 - 1. What is the tens digit of l(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u + 2. Let a(l) = -8*l - 2. Let k(v) = -v + 1. Let z be k(0). Let j(i) = 6*i**3 + 2*i**2 - 1. Let x be j(z). Determine x*w(h) + 6*a(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 17 - 17 - (-2)\/((4 - 1)\/30)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.836 (c) -0.5 (d) 23.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/60058476 and 29\/96?\nAnswer: 480467808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3031505, -2, -1 in decreasing order.\nAnswer: 3031505, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*f = -7, -l + 2*l - 19 = 4*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 3 + 2\/(-2). Let f = g + -8. Suppose -6 = -f*d - 2. Which is smaller: 1\/5 or d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7247, -7248, -7251, -7256?\n\"Answer: -t**2 + 2*t - 7248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271706020 is divided by 5868.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 892*g\/3 - 51324.\nAnswer: -(g - 658)*(g - 234)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7400162 and 4669?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 62*h**2 - 7*h - 11. List the prime factors of d(-2).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202.8 - -201.9. Which is the second smallest value? (a) s (b) 0.028 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-24 - (-52 - -15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -198*(-9)\/(-18)*12\/44.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(12 - 14) - 4\/(-66)*-81.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23954611 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -179 (b) -15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492*w**5 + 13*w**4*y - 129134*w*y wrt w.\nAnswer: 9840*w**3 + 156*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*h**2*w**2 + 390*h**2*w - 3*w**2 + 7*w wrt w?\nAnswer: -490*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1584 = -2*i. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.4529195 - 14.45. What is m rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + p)*(-44*p - 67*p - 20*p) + (-2 - p + 2)*(-2 + 2 - 2*p).\nAnswer: -129*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z - 37*z**2 + 20*z**2 + 2*z + 18*z**2 - 8. Determine v(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1223970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 8}. What is prob of picking 2 g and 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 85*w - 928. What is r(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/103, 3\/5, -3, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10381? (a) 4 (b) 0.3 (c) 355 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*o - 105*o = -3*r + 4, -4*o - 10 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12881\/140 + -92. Let r(x) be the second derivative of -o*x**5 + 3*x + 1\/28*x**4 + 1\/14*x**2 - 1\/14*x**3 + 0. Let r(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1521\/83?\nAnswer: -1521\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481306405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 110100000011010101001101000?\nAnswer: -110100000011010101001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24 - -2) + -3 - -1. Let y be (2\/(-5))\/(i\/20). Suppose -y*t**2 + 2\/3*t + 0 = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52425 divided by -52425.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = -z, 14*y - 5*z = 16*y - 17. What is the second smallest value in 0.06, y, -2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((-3)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let n(u) = 22909*u - 2. Determine q(n(l)).\nAnswer: 45818*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*t - 84*t + 18 = 2*r, 0 = r - 3*t - 12. Solve r*v + 7 + 2 = 5*o, 4*v + o - 11 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20886057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(-5*s + 458267*s**3 - s - 458284*s**3).\nAnswer: -102*s**3 - 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i. Suppose -2 = -2*g, i*m + 5*g = -5*m. Which is the closest to 1\/3? (a) -2\/15 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 + 7*y**3 + 810136*y**2 - 810136*y**2.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.1 (b) -3\/2 (c) -65.338 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8470470 to the nearest integer?\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - i = 52, b - 24 = 7*i - 5*i. Let d be b\/28*(-63)\/(-18). Solve 0 = 4*a - 12, 2*h + d*a = 3*a - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25484*l**3 + 166*l**2?\nAnswer: -152904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(490))\/((-2*sqrt(30))\/sqrt(6)*-4).\nAnswer: -21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:53 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*h - 5. Suppose -2*y + 0 = -12. Solve -y*n + n - h = 0, -12 = -2*v + 4*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -33*t - 192. Let j be p(-6). Suppose -j*b + 455 = 407. Solve -q + b = -2*r, -q = q - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q + 3, -3*r + 1224 = -q. What is the highest common factor of 74 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjofmfv. What is prob of sequence vffj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (-18 - (56 + -14 + -4))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-12))\/(10\/(-8))*12720\/(-265)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/11 - 10\/77. Is d >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560 = -147*m + 251*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 times -51?\nAnswer: -29070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074 - 2714 = 5*l - 119*l. Solve -l*n = -64 + 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -27*(294\/(-36) - -8). Let m = -0.09 - 4.91. What is the smallest value in -0.4, l, m, 2\/23?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-160)\/(-14) - (-36)\/(-84)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 10 - 5) + -19\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, v: 3}. Give prob of picking 1 u and 1 v.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-21) + (-900)\/14. Is (2 + f)\/(0 + -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961854 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 2228431473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 6*w - 696. Let x = -122 + w. Let n(f) = f**2 - 4*f - 5. Give n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.111 - 0.889. Let h be (-2)\/1*3\/(-2). What is the third biggest value in 2, h, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25407363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3\/44 (c) 5 (d) 120 (e) -9\/5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58479 (base 12) in base 13?\nAnswer: -41a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 13*g**2 - g + 14. Let c be v(13). Let j be ((-1)\/9)\/(2\/(-4)). Which is greater: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + c**2 + (4 + 0 - 3)*(3*c + 2*c**2 - 3*c) + 0*c - 8 + 111*c**2 - 110*c**2 - 4*c + 2*c**2 - 3*c**2 - c**2.\nAnswer: 2*c**2 - 4*c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 879 = -c + 2475, -c - 4*l + 3362 = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67a (base 12) to base 6\nAnswer: -4234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 12*d**2 - 14*d + 23. Let f be b(13). Solve -v = w + 5, -5*v - 15 - f = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 136, 548, 1228, 2170, 3368?\n\"Answer: -f**3 + 140*f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 80 (c) 5 (d) -8.4 (e) -3 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 - 47*i**4\/24 + 47*i**3\/6 - i**2 - 2*i. Differentiate b(t) wrt t.\nAnswer: 2*t - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1550)\/(-55) - 4\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38463?\nAnswer: 3, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961965 = 53*y - 124*y + 26*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 888*p + 462*p - 235*p.\nAnswer: 1110*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus 118557526259?\nAnswer: 118557526261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -580 - 3\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/16 + (-14)\/(-8). What is the second biggest value in z, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36565 and 0.0076.\nAnswer: 36565.0076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 613 or 608?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + n + 36)*(3*n + 0*n - 4*n).\nAnswer: -n**2 - 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.27 + 0.37. Let s = c - -9.9. Let b be 63\/105 + 14\/(-40)*1. Is b greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*d + 834089*b**2 + 719*b - 40*d + 43 wrt b?\nAnswer: 6*d + 1668178","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((4 - 3) + 18)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 1. Let s = 6 - 10. Let j be q(s). Suppose j*z - 88 = -4*p, 2*p = -p + 3*z + 87. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 6*n + 0*n)*((2*n - 5*n + 2*n)*(-4 + 4 - 22) - 5 + 5 - 10*n + 3*n - 4*n + 0*n).\nAnswer: 55*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:10 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let s be a(-1). Let z be -2*(13\/(-2) + s). Suppose f - z = -0*f. Calculate the smallest common multiple of f and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u - 10. Suppose 2*v - 3 = u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564581 is divided by 141111.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 189.6309 months?\nAnswer: 0.15802575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 35\/3*p + 5\/3*p**3 + 40\/3*p**2 = 0 for p.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103\/5, 2\/7, -20677 in descending order.\nAnswer: 2\/7, -103\/5, -20677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/(r\/(r*(r\/r**16)\/r)) assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -50*t - 47 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 2*d - 2. Let u be z(2). Solve u = b - 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w - 315. Let a be p(23). Let y(g) = a*g + 4 - 54*g - 4. Let r(t) = -28*t + 6. Let h(q) = q - 1. Let f(z) = 5*h(z) + r(z). Give f(y(i)).\nAnswer: 23*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -55*t + 390. Let k be j(7). Suppose 0 = 4*y + 10 - 30. Solve -3*c - 2*c + 40 = 4*v, k*v + y*c = 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j**(2\/7)*j)\/j)**(-45)*(j\/(j\/(j*j\/(j**0*j))))\/(j**(1\/2)*j) assuming j is positive.\nAnswer: j**(-1447\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15*y**3 - 11*y**2 - 12*y + 51. Let o be i(-5). What is the greatest common factor of 295 and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5301 = -6*p + 5324, -2*y - 11*y = 91 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/6 + 1047*n + 177464\/3 = 0.\nAnswer: -56, 6338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -226, -5.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 73?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 - 307 - 912*a - 6*a**2 + 912*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 29*v = -25*v + 6, 0 = 4*v + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*l**2 - 5*l + 174*l**2 - 8*l + 466*l**2 + 3*l.\nAnswer: 476*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7920\/(-28))\/(-33))\/(6\/42*-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13787 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150041.\nAnswer: 150041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(1008) + -2)**2 + -5*(-4 + (1 + sqrt(1008))**2).\nAnswer: -4016 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903335 take away -151525?\nAnswer: 2054860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4570394.\nAnswer: 2, 337, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 4 + 3 + 11*d**2 with respect to d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16615?\nAnswer: 5, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 10*l**2 + l - 10. Let a be q(10). Suppose 4*c - 15 = -2*r + 9, -r - 5*c + 9 = a. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2652 divided by -884?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 3, -2\/13, -26, -576?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -7. Let f = z - 1. Let a(t) = -t**2 + 7*t + 4. Let h be a(f). Put h, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116.09999469 + -116.1. Round l to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Let f = 11 - u. Differentiate f + 31*w**3 - 34*w**3 + 0 - 1 with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -41*u**4\/4 - u**3\/6 - u**2\/2 + 8738*u. Give v(-1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -313c7dd - 9?\nAnswer: -313c7e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:01 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37005 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k + 4*n, -5*n - 74 = -5*k - 19. Let s be 2\/((-168)\/(-81) - 2). Let u = s - k. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-190)\/(-6)) + (-32)\/(-48). Let k be -1 - (l\/40)\/((-2)\/(-30)). Sort k, -3, 2 in increasing order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 54, 411, 1030, 1911, 3054, 4459?\nAnswer: 6126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/21 + 24086*b\/21 + 4608672\/7.\nAnswer: -2*(b - 12592)*(b + 549)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 224969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-17 - -23 - -10) + -14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23400 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3340 divided by 188.\nAnswer: -835\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 27 = 21. Let s be (18854\/3740)\/(17\/2). Let p = -2\/289 - s. Is m <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 21516.3.\nAnswer: 8606.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*w = 8, 2*w + 3*w = -0*w. Solve -f + 10 = -3*f - z*v, -15 = -f + 2*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 10. What is the smallest common multiple of x and 12 + (30\/(-165) - 53\/11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -286081 (base 9) to base 5\nAnswer: -21100113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 40 - 45) + 0 + 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 47\/3 (b) 4 (c) -5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 9821.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 3)*(-209*z - 118*z + 672*z + 807*z) to the form p*z + y and give p.\nAnswer: 3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*p + 4*t - 576 = 167*p, 3*p + 2*t = 432. What is the remainder when 549 is divided by p?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535 and 36457785.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29572 + 29571.999966845. What is t rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57914.1 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -6. Let q(r) = -r**3 - 11*r**2 - 10*r. Let y be q(k). Is y greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 - 15 = 0. Let w be (-136)\/36 - (f - -6). Let x be 3\/12 + (-1)\/(-4). Which is the third biggest value? (a) 4\/3 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 3*o - 2*k, -5*o - 4*k + 665 = k. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -2, 143, -3, -2\/203, 7?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -138?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 7*k + 9. Let h(z) = 9*z**2 - 14*z + 17. Let l(b) = 3*h(b) - 7*w(b). Let g be l(8). Is g < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 - l + 1. Let r be p(-5). Let f be (-6)\/(2 - (-57)\/(-24)). Suppose 3*a - 5*b = f, 4*b = -5*a + 2 - 0. Solve -t = a*t + r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 + ((-14)\/35)\/(3\/(-15)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 = 32. Let n(u) = u**2 + 3. Let p be n(0). Suppose p*q - 2*q = b. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20693?\nAnswer: 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500) + 0) + ((sqrt(500) - (0 + sqrt(500)))*2)**2.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, g: 9}. Give prob of sequence ng.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -42934800 to the nearest one hundred thousand.\nAnswer: -42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - 3?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.75 + -0.05. Let x = -0.78 - b. Let v = x - 0.0199992. Round v to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1)**2 + -3.\nAnswer: 4*sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 1, i: 11, h: 1, o: 1, a: 2}. Give prob of sequence isas.\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -70, -76, -82, -88?\n\"Answer: -6*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6458, 13026, 19594?\nAnswer: 26162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 324215057 from -0.064.\nAnswer: -324215057.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164.53165 and -2.\nAnswer: 162.53165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 6. Let z = -2.7 - h. Put 0.1, z, -0.1 in ascending order.\nAnswer: -0.1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*l = -188, -5*b + 6*b + 3*l - 41 = 0. Suppose -b*k + 2211 = -5*k. Calculate the highest common factor of 469 and k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*i + z - 132, -2*z + 8 = 0. Suppose 0*v = 5*v - i. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 0.216667?\nAnswer: 5.216667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -84*k**2 + 8*k - 8. Determine j(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -104*t**2 - 18613*t + 481. Calculate w(-179).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, -3\/2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/193 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 435 + 710?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1655457*f*s**2*v**3 - 13475*f*s**2*v**2 - f*s**2*v - 2*f*s**2 - 52*f*v**3 + 7*f*v - f + 2*s**2*v**2 + 2*v wrt v.\nAnswer: -9932742*f*s**2 - 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -25*a - 93. Let d be k(-4). Let f(n) = n**3 - n + 2. Let m be f(0). Solve d*o**3 - 19*o**3 + 6*o**3 + 6*o**m - 2*o + 2*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26, 5\/6, -24, -1\/5, 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 0.5, -6338, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (24 + (35 - -24))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-1005)\/(-9))\/5. Suppose -4*l - 19 = -u. Suppose 9*q - 8*q = l. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1260*i**2 - i + 23. Let g(z) = 11*z. Give g(h(a)).\nAnswer: 13860*a**2 - 11*a + 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63203, -63202, -63201, -63200, -63199, -63198?\nAnswer: -63197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464464315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 2*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 20478*g**2 + 1358559*g.\nAnswer: 3*g*(g - 6759)*(g - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371450, -743426, -1115402, -1487378, -1859354, -2231330?\nAnswer: -2603306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1*sqrt(1539) + sqrt(19) - sqrt(171)*-6)**2 + -5*(sqrt(1216) + sqrt(1216) + 2 + -4)**2.\nAnswer: -17481 + 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -2 (c) -166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16069295 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-29)\/(-3))\/(2\/6). Solve 0 = -4*r - 0*r + 4*o + 24, 5*r - 4*o = k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q + 3. Let w be v(-4). Suppose -t - 34 = -w*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 8, v: 3, i: 3, h: 2}. Give prob of picking 1 i and 2 x.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122.8575 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 92, -5 in descending order.\nAnswer: 92, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12\/(l\/((l\/(l\/l**(-34)))\/l)))\/((l\/(l**4*l)*l)\/(l*l**6)))**35 assuming l is positive.\nAnswer: l**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -251\/6. Let k(d) be the third derivative of i*d**4 - 1\/60*d**5 + 0*d - 2\/3*d**3 - 3*d**2 + 0. Factor k(n).\nAnswer: -(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94556195 - -94556145.0000102. Let r = 50 + l. Round r to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46158317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*v**3 + 15 + 149*v**3 + 29*v**3.\nAnswer: 251*v**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 48*m + 565. Let p be k(-28). Sort -4\/7, -2\/9, p, -2\/3195 in decreasing order.\nAnswer: p, -2\/3195, -2\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/33 and (-2)\/(-7) + ((-3925)\/(-126))\/(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**7\/7 - 7*q**6 + 70*q**3\/3 - 2*q - 305. Find the third derivative of g(o) wrt o.\nAnswer: -240*o**3 - 2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-285)\/1596)\/((-140)\/96))\/(4\/(84\/27)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15061, 120448, 406495, 963532, 1881889?\n\"Answer: 15055*l**3 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 9*c**2 + 8*c + 9. Let b be j(-8). Solve 4*q + b = 5*q + 4*o, 2*q - 9 = -5*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14578 and 1446.\nAnswer: 10539894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1578*z - 97. Let j(r) = -1576*r - 116. Give 5*j(b) - 6*k(b).\nAnswer: 1588*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - (-18 + 32) - -10?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24266, -48518, -72758, -96980, -121178, -145346?\nAnswer: -169478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = -3*x - 144. Let l be (x\/92)\/((-2)\/(-8)). Let a = l + 71. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 26994, -947?\nAnswer: 26994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - -1 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6923938*g + 13847926*g - 6923994*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11. Suppose -3*b = -2*z + 11 - 1, w = z + 3*b - 5. Suppose -z*p + 856 + 234 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*w + 26 = -172*w + 4*o, 0 = 5*w - 2*o - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -997, -981, -967, -955, -945?\n\"Answer: -q**2 + 19*q - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**2 - 7*i**5 + 2*i**2 + 10733*i**3 - 10728*i**3 wrt i.\nAnswer: -420*i**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*f**2 - 19*f**4 - 59*f**2 + (2 - 3 + 3)*(-1 + 1 - 9*f**4).\nAnswer: -37*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 354, 7\/3, 0.0238, -1\/5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14835*c**2*f*v**2 - 9*c**2*v**2 + 93*c*f - 3254*c - f*v**2 + 310*v**2 with respect to f.\nAnswer: 14835*c**2*v**2 + 93*c - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167802 - 5*u - 29*u + 167802 - u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -24.8. Let c = 5.21 - t. Let g = c - 0.01. What is the closest to 0.1 in g, -0.3, -5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11431.\nAnswer: 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-45)*(3 + (-2)\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2356 divided by 124.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 147043 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 5:08 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**4 + d**4 + 35*d**4)*(-4*d + 7*d - 55*d).\nAnswer: -1300*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:28 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*o**3 + 1\/4*o**4 + 7\/2*o - 5\/4 - 3*o**2.\nAnswer: (o - 1)**3*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 7*x + 160 + 77, 8*o + 91 = -5*x - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:11 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from pttltttltlltt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677201394 a multiple of 4316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itgog. What is prob of sequence gg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, 8042 in increasing order.\nAnswer: -2, 0, 1, 8042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 476246568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.29691s in hours?\nAnswer: 0.010082475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y - 3*y + 4*y - y + 0*y + 0*y + 0*y + 2*y + (4*y - 4*y - 2*y)*(-1 - 1 + 0) + 3*y + 5*y - 4*y + (y + 0 + 0)*(6 - 4 + 0).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*z + 33*z + 42*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/14)\/j**(-10))**(-15) assuming j is positive.\nAnswer: j**(-2115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*t**2 + 33 - 10 - 21)*(-2*t - 3*t - t)*(2*t + 3*t - 3*t) in the form y + o*t + s*t**2 + h*t**3 + u*t**4 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.1 (c) 0 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(1\/(-30)). Let i = 22 - 16. Suppose i*y = y + 10. Solve -2*f + 2*d + 0 = -y, 3*d - c = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64613*z**2 - 5*z + 64540*z**2 + 2*z + z**4 as d*z**3 + c*z + r + p*z**2 + f*z**4 and give p.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -70*j + 211. Suppose 0*w + 23 = -q + 3*w, -49 = 2*q - 3*w. List the prime factors of y(q).\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00000067 + 0. Round t to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272385399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -4. Let z = u + -11.000017. What is z rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12829, 12996, 13181, 13384, 13605, 13844?\n\"Answer: 9*s**2 + 140*s + 12680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -423*t**3 - 2*t**2 - 594*t - 6. Let h(c) = 1270*c**3 + 6*c**2 + 1784*c + 20. Let z(q) = 10*g(q) + 3*h(q). Find the second derivative of z(w) wrt w.\nAnswer: -2520*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -6*v - 2. Solve -10 = -v*f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647 (base 9) in base 14?\nAnswer: -1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -19.\nAnswer: 80\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 - 270*b - 1800 = 0. Calculate b.\nAnswer: -6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.039.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 6*l**3 - 8*l**3 + 14*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -663 + 14654?\nAnswer: 13661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/((i\/i**(-9)*i*i)\/i))*i\/(((i**(-9)\/i)\/i)\/i)*(i\/(i**(8\/7)\/i))**47 assuming i is positive.\nAnswer: i**(457\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 841609586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 242*m**2 + 239*m**2 - 18 - 470*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*-4*(sqrt(720) - 2*sqrt(720)) - ((-2 + -1*sqrt(720) + sqrt(720) - (sqrt(720) + sqrt(720)*2)*-4) + -2))**2.\nAnswer: 3456*sqrt(5) + 933136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 e, and 1 z when four letters picked without replacement from {z: 2, e: 1, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 9*l**2 + 8*l + 5. Let f be k(8). Suppose 0 = -5*c + 10, -f*y - 5*c = -32 - 18. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 8. Let o be c(11). Let n be (-346)\/(-10) - (-10)\/o. Let q = -20 + n. Solve q = -6*l + 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 11. Let i be z(-6). Let h(w) = -3*w**2 + 5*w - 7. Let n be h(i). Is (14 + n)*(-1)\/3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -288. Let i(g) = -64*g - 595. Let k be i(-15). What is the greatest common factor of d and k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (-1 + sqrt(128) + 1) - sqrt(128))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5930, 23738, 53434, 95030, 148538, 213970, 291338, 380654?\n\"Answer: 2*w**3 + 5932*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.608.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*u - 43. Let l(p) = -2*p - 11. Let i be l(u). Suppose 0 = -4*q + i*q - 30. What is the least common multiple of 2 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 15*l + 99 = 0, 4*u + 978 = 5*l + 955 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + (-2 - 1) + -20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48 (b) -1 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 6*q + 17. Let t = -44 + 35. Let u be d(t). Calculate the greatest common divisor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 (base 8) in base 16?\nAnswer: 17f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + 511. Let v be (2\/(-3))\/((-2)\/p). Suppose -u = -3*u + v. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let j(d) = 10*d - 2. Let g(c) = -82*c + 17. Let p(z) = 6*g(z) + 51*j(z). Give p(m(o)).\nAnswer: -54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1318.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - 9045\/(-108) - (-2)\/8. Solve -o*z + 3*n = -72*z + 15, -3*z + 2*n - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -10, -3\/5, 1\/4.\nAnswer: -10, -3\/5, 1\/4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - g + 1 = 0, 4*x - 4*g - 14 = 7*x. Solve 12*q**2 + 10*q + x - 12*q**4 + 8*q**3 + 14*q**4 - q - q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2, 2*j - 4*w + w = 47. Solve -2*p + 7*p - j = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -222*i + 28. Let m be s(0). Solve -m*t - 47 = -187 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 9\/20*u**5 - 1\/14*u**7 - 1\/10*u**6 + 8*u - u**3 + 1\/4*u**4 + 0 + 0*u**2. Find w, given that i(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -18. What is the tens digit of (-322)\/u - 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 29. Suppose i*g + 7*g = 16*g. Suppose 0*d**3 - 1\/2 + d**2 + g*d - 1\/2*d**4 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(360)\/(sqrt(200) + sqrt(8)) + -6*(sqrt(225)\/sqrt(5) + sqrt(45))))\/(-4*sqrt(576)*-5*-4).\nAnswer: 71*sqrt(5)\/3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j**4 + 274204*j**3 - 137112*j**2 - 274204*j + 137104 = 0 for j.\nAnswer: -34276, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) -0.77177 (c) -0.1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-27 + 16) - (9 + -1) - 12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237538971 and 1044?\nAnswer: 950155884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + k**2 + k + 3. Let l(g) = 8*g**3 + 59*g**2 + 7*g - 39. Let f(h) = -2*l(h) + 10*q(h). Determine p, given that f(p) = 0.\nAnswer: -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*h + 2*x, 0 = 4*h - x - x + 70. Let s = -32 - h. Does 16 divide (-2)\/10 + (-243)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 4. Suppose -10*o + 3*o = 3*o. Which is the closest to o? (a) q (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 11568.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -1\/3*t**3 + 8*t + 7\/2*t**2 - 226. Let z = 5 + 2. What is x(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -50*j**2 - 503*j - 133. Calculate p(-9).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12408 by 2068.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*1 - (sqrt(190)*2*1 - sqrt(190)))\/((sqrt(250) - -2*sqrt(250))*-4).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + v + 26*v**2 - 7 + 0*v in the form t*v + h + g*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-3 + 1 - 1). Let z = w + -11. Solve -2*c + 4*h - 5 = 23, z*c - 2*h = -26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*v**3 - 3*v - 2774 wrt v?\nAnswer: -66*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1154, -1089, -1024?\n\"Answer: 65*k - 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12650 and 81\/1144.\nAnswer: 657800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 56. Let l(p) = 3*p**2 + 5*p + 4. Is 8 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuiuuiuuuu. What is prob of picking 1 i and 2 u?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 1 + 19 - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087011*o = 1087018*o - 77 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -1) + 3 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(272) - (-3 + sqrt(272) + 1 + sqrt(272))) + -4) - (1*(sqrt(272)*-2 + sqrt(272)) + 5 + -2))**2.\nAnswer: 264*sqrt(17) + 2569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (508\/10)\/(-4 + 38\/10). Let n = 8 - q. What is the remainder when n is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (5 + (30 + -11 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175333.6 nanograms to milligrams.\nAnswer: 0.1753336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 323 (c) -177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.977115.\nAnswer: 3.90846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -201266 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*a*i - 8*a*t + a - 91*i*t**3 - 7*t**3 + 3*t**2 + 3*t with respect to i.\nAnswer: 189*a - 91*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-2)\/10). Let b be (-12)\/(-9)*36\/4. Suppose x*z - 5*n = -10*n + 24, -b = -z - 5*n. What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-s - s + 4*s)*(19562*s - 9603*s - 9582*s) to the form g + o*s**2 + r*s and give o.\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j + 21. Let h be 0 - (j + -2 + 4). Let f(m) = -5 + 5 - h*m**2 + 6*m**2. Let o(k) = -5*k**2. Calculate o(f(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/108 and 105\/36112.\nAnswer: 975024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073868 to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 - 4.16. Let m = 0.46 + v. What is the closest to -2 in m, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238464 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*b - 13709, -3*b = 86*k - 81*k - 13691. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:52 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 580\/(-2)*(-8)\/(-128)*24*1\/(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.13, -3, -16, 1\/1820?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -80, 1\/4, 4\/5 in increasing order.\nAnswer: -80, -0.3, 0, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.021 - 0.221. Let q = 1611.1 + -1611. Which is the closest to -2\/5? (a) q (b) -2\/5 (c) w (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 + -7.92. Let t = -8.7 - n. Put t, -3, 4, 0.3 in increasing order.\nAnswer: -3, t, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-2 - -5) + -1. Suppose 3*p + 4 = 19. Put 2, o, p in descending order.\nAnswer: p, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81468626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = -r + 22*t + 16, -5*r = -4*t + 16. Solve r = 2*d - 5*k - 5, -2*d + 1 - 6 = 5*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 27*m + 21. Let h(y) = 5*y**2 - 79*y - 63. Let s(v) = 4*h(v) + 11*q(v). Calculate the remainder when s(-7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -153. Let b = 13 - 20. Is (-28)\/f + (-3497)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178130 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.5. Let t = -14622 + 14617. Put 7, y, t in ascending order.\nAnswer: t, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 16*v**5 + 55*v - 56*v + (0*v - v + 2*v)*(v**4 + 4*v**2 - 4*v**2).\nAnswer: -17*v**5 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58ff8 (base 16) in base 6?\nAnswer: 11451400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1671696 by -36.\nAnswer: 46436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 120648964 and 120648963 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 2*s**3 + 2*s**3)*(-435*s + 1471*s + 5659*s + 1474*s).\nAnswer: -16338*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-4)\/(-916)). Let k = s + -77. Let b = 0.415 - 0.015. What is the nearest to k in 0, -2, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m + 4*c - 12 = 0, -5*m = -2*c - 6. Factor 8 - 36*p + 17*p**3 + 205*p**m - 193*p**2 + 7*p**3 - 8*p**3.\nAnswer: 4*(p - 1)*(p + 2)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*c**4 - 256*c**3 - 180*c**2 + 88*c = 0. What is c?\nAnswer: -1, 0, 1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137.117 millilitres in litres?\nAnswer: 2.137117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.93 + -0.07. Let q = -55 + 54.6. Suppose 2*a - 3*s + 0 = 2, -5*a + 5*s = -10. What is the biggest value in q, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (6 - ((3 - -6) + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 547, 979, 1593, 2443, 3583?\nAnswer: 5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 44*u = 8*u + 140 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -11*n**3 + 6*n**2 + n + 65. Find the second derivative of s(r) wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1515358, 6061419, 13638188, 24245665, 37883850?\nAnswer: 54552743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10012210 (base 3) to base 15\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 1069*s\/5 + 356\/5.\nAnswer: (s - 356)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -68*a + 18. Let b be z(0). Let h = 54 - 18. What is the highest common factor of h and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 37 + -193 + 174?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:50 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcecccepc. Give prob of picking 2 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -1 (c) 68 (d) 0.3497\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215034? (a) -0.4 (b) -2.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 3. Let l be x(-4). Let i be (l\/(-4)*6)\/(-6). Let n = 961\/12 + -80. What is the closest to i in 3, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 + 11. Let l(f) = -f**2 - 2. Let x(w) = 33*l(w) + 6*v(w). Let r(s) = 0*s - s - 5*s. What is r(x(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665 rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - j + 0*j. Let g be n(0). Suppose 0*h - 2*m - 31 = -3*h, m + 2 = g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4131143 (base 7) in base 5?\nAnswer: -111320104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 817, 3418, 7737, 13768, 21505, 30942, 42073, 54892?\n\"Answer: -b**3 + 865*b**2 + 13*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.78432 millennia in months?\nAnswer: 69411.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 5*j, -4*j - w - 3*w - 4 = 0. Let t be 1\/(j - (-2)\/10). Solve 19 = -t*b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 42*y - 80. What is s(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 946 - 958. Let u(v) = v**3 + 17*v**2 - 3*v + 8. What are the prime factors of u(j)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1053 + 1174*r**3 + 185 + 42 - 598 wrt r?\nAnswer: 3522*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181410735?\nAnswer: 3, 5, 11, 1099459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 535 + 1525. Let d = k + 220. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16791 + 16807.986. Let r = s - 17. What is r rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = -t, -5*o + 2 = 4*t - 2*t. Suppose 216 = 9*n + 171. Which is the third smallest value? (a) 3 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/(-15))\/((-4)\/(-6)). Suppose 4*o = -m - 4, v*m - 4*o - 52 = -0*m. Calculate the lowest common multiple of m and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -911?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4439*i**2. Let o(f) = -530*f + 173*f + 178*f + 176*f. Determine x(o(v)).\nAnswer: 39951*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230.69706 seconds to minutes.\nAnswer: 3.844951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/((1*sqrt(7) - sqrt(7))*2 + sqrt(7) + sqrt(7)) + (2*sqrt(272)*4)**2.\nAnswer: sqrt(17)\/2 + 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - i - 46, -4*v = -5*v - 4*i + 26. Factor 3*r**2 + 50 + 2*r + v*r - 41.\nAnswer: 3*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**7\/420 + j**6\/48 - j**5\/40 - 13*j**4\/48 + 5*j**3\/6 - j**2 + 5*j. Suppose x(q) = 0. What is q?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.833 (b) 0.05 (c) 0.0608\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3101 (base 11) to base 4.\nAnswer: 1000103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183 - 0.006?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*u + 3102 + 7098 = 0 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 4843807325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -11.398\nAnswer: 3.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -0.2 (c) -1\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427446 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -3198\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -90.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 99*j**2 + 712*j + 170. Does 65 divide i(103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -9, 55, 93?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 1482 = -327. Calculate the greatest common divisor of w and 1295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 112?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(3*t - 5*t + t + (-2*t + 2*t - 3*t)*(0 - 1 + 0))*(-117 - 5 - 92).\nAnswer: -1712*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187801478 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 96. Suppose 0 = n - 2*y - q - 3, 4*n + 2*y = 152. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/80 - 3*j**5\/160 - 3*j**4\/16 + j**3\/4 + 3*j**2\/2 - 3256*j. Factor l(r).\nAnswer: 3*(r - 2)**2*(r + 1)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a. Let i(c) be the first derivative of -1359*c**3 - 8988. Determine i(n(o)).\nAnswer: -65232*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*3\/(-12)*-2. Is 3 a factor of ((-41)\/6)\/((-8)\/96*v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (27 + 78)*(-6)\/(-10) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(2\/157)*i*i\/(i**(1\/3)\/i)*i\/((i**(-14)\/i)\/i)*i assuming i is positive.\nAnswer: i**(9728\/471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*q + 9 + 3, -4*p = 5*q + 3. Suppose 0 = -5*v - n + 2, -3*n + n - 5 = v. Put p, v, -4 in descending order.\nAnswer: p, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**4 - 17*s**4 + 2*s**2 - 3 + 10*s**4 in the form o + x*s + f*s**2 + t*s**3 + d*s**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 35 (b) -1\/4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {y: 1, l: 4, n: 6, w: 4, i: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 135097.06 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 + 17*f - 99. Let p be r(-16). What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -479 - -483. Let t(s) be the second derivative of 0*s**2 + 0*s**5 + 0 - 5\/12*s**r + 0*s**3 - 4\/15*s**6 + 3*s. Find the third derivative of t(z) wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 3*s**2 + 2*s**2)*(47*s**2 - 3*s + 2*s - 49*s**2).\nAnswer: 4*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 5)*(-d + 1 - 1) + 0*d + 2*d - 3*d)*(504 - 597 + 812 + 567) in the form k*d + w and give k.\nAnswer: -5144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5564961 - 3?\nAnswer: -a5564964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711369?\nAnswer: 281, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25963 is divided by 1083.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = f + 4*z, -3*f - 432 = -8*f + z. Calculate the remainder when f is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + a**3 + 4*a**3 + (-a**2 + a**2 + a**2)*(0 - 2 + 1)*(0 - 4 + 37*a + 6).\nAnswer: -34*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/19)\/(27 - 1961\/74)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 293 + 21*t - 111 - 150. Let v(j) = -10*j - 16. Let c(g) = 6*p(g) + 13*v(g). Let a be c(-5). What is the greatest common factor of a and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -0.5 (c) -81 (d) -126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from qzqigqqz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - 18\/(-8). Solve -o*k - 2*k = 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8526 - -0.19.\nAnswer: 8526.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/28*(-1)\/5 + 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.39805+-593299.198\nAnswer: -593302.59605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31*-0.7617\nAnswer: -23.6127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*3\/(-3)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -45 + 9. Let i(g) = g**2 - 12*g + 2. Let c be i(v). Solve 10*k - 5*k + 15 = 0, 0 = -c*t - 4*k - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/(-420)*(-11)\/(-264)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149\/18 + -17\/2. Which is the closest to 1? (a) 1 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/120 - p**5\/30 + 5*p**4\/24 - p**3\/3 + 5*p**2. Suppose 0 = 2*h - 3*h - 4. Calculate q(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 7*q**4\/24 + 5*q**3\/3 + q**2. Suppose -16 = 3*j + 4*t, -3*t + 0*t = 4*j + 26. What are the prime factors of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27 = -0*h. Suppose 0 = -5*q + 66 + h. Let f = 26 - 16. Calculate the greatest common factor of q and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 2*j - 1. Suppose 10 = -27*d + 32*d. Suppose t + 4*c = -17, 3*t - 4*c + d*c = 5. What is l(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:15 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8353, -33208, -74633, -132628, -207193, -298328, -406033?\nAnswer: -530308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 3022*w + 66860. What is d(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 469, 704, 939, 1174?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 4. Let a be i(-3). Let t = a - 27\/2. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -647 * 0.035.\nAnswer: -22.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21b5044 (base 12) to base 3\nAnswer: -110011002010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*t + 57*t + 32*t + 88*t + 51*t.\nAnswer: 345*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2003*y**3\/7 - 4010*y**2\/7 + 2011*y\/7 - 4\/7 = 0. Calculate y.\nAnswer: 4\/2003, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*y + 1 = 0, -p + 6*p = 4*y - 37. Sort p, 5, -2 in increasing order.\nAnswer: p, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909977153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-54)\/24) + 0. Which is the closest to 0? (a) -0.5 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-105)*-27)\/(-3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:12 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -49. Suppose 51 = 3*w - 33. Suppose -w = -h - 2*l + 54, d*h - 160 = -3*l. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48732362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 24 + 22 + b)*(3 - 1 - 3).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003576 to the power of 1\/2, to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u. Let a(j) = 500*j**2. Calculate a(k(w)).\nAnswer: 18000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - s - 13 = 0, 29*c - 28*c - 8 = 5*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 11*x + 30. Let m(k) = -4*k**2 - 10*k - 29. Let a(v) = -2*m(v) - 3*p(v). Let d = -4 - -20. What is the lowest common multiple of a(-5) and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j. Suppose -o + 2 = -j*o. Suppose 9*m - 574 = o*m. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 + 9.77. Let x = w + -5. Let d be (3 - 7) + 36\/15 + 2. What is the nearest to -0.5 in d, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/3 (b) -1\/6 (c) -2\/13 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-452)\/28 + 945\/441.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**2 - 10*u + 5765. Determine g(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -28. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 38*v**2 + 10*v + 4. Let w(z) = 4*z**3 - 33*z**2 - 10*z - 3. What is -3*u(y) - 4*w(y)?\nAnswer: -y**3 + 18*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w + 5 = 0. Let g(c) be the second derivative of c**3\/3 + c**2\/2 - 2*c. Let f be g(w). Solve -f*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -27. Suppose -x*q + 51*q = 105. Suppose 0 = o - 3*j - 13, 4*o - q = -3*j + 31. Solve 4*v + 1 = 4*s + o, -3*s - 9 = -5*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 4, -5, -2, -19 in descending order.\nAnswer: 46, 4, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 + 6. Let s be m(-5). Suppose -5*q + q + 12 = 0. Suppose -q = 5*x - 28. Sort x, -3, s in descending order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*o = -239*o + 21363 - 1199 + 4016 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32963\/94380 - 49608\/605. Let w = r - -245\/3. Are w and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410335823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 63. Is x(-23) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310404937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0416*514401\nAnswer: 21399.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 470 = 3*c, 5*n = 15 + 10. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(-1 + 1 + 3) + (178 - 23 + 16)*(4*g + 0*g - 3*g) - 8*g - 4*g + 0*g.\nAnswer: 165*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419076.\nAnswer: 2, 149, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -50, -48?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 27 = -2*v - 7, 5*k = -25. What is the remainder when 56*1 + -9 + 11 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6000, 5999, 5998, 5997, 5996?\nAnswer: 5995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -9 (b) -21\/278 (c) 4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 209\/1099?\nAnswer: 209\/1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706.7952 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 - 167*c**2 + 18*c - 6. Let l(x) = -5*x**3 + 166*x**2 - 21*x + 7. Give -7*j(s) - 6*l(s).\nAnswer: 2*s**3 + 173*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2106229\/96 - 61091\/3. Let q = b - 1576. What is the common denominator of q and ((-72)\/(-28))\/((-128)\/(-70))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411*a + 5 + 2 - 12 + 3)*(9 - 9 - 2*a).\nAnswer: -822*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, -7, 2\/13, -1\/2 in descending order.\nAnswer: 2\/13, -1\/2, -2, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = w - 2*w + 5, 5*w = -3*b + 25. Suppose 4*r - 6*r = 4. Let k be r + 4 + 1 + b. Solve x - k*x = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**6\/24 - u**5\/5 - 3*u**4\/16 + u**3\/3 + u**2\/2 - 78. Find i such that q(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*g - 7 = 0, 5*y = -4*g - 2 + 9. List the prime factors of -6*(((-2)\/2 - y) + -16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.76 + -0.14. Let v = q + 0.8. What is the closest to 0.1 in 5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8645 > -8640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9*x = -220. Let m = 22 - x. Solve m*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41905630*n**2 + 113406185*n wrt n?\nAnswer: 83811260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1290607, -1290588, -1290569?\n\"Answer: 19*v - 1290626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times 39519?\nAnswer: -13041.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -5440323 in decreasing order.\nAnswer: 6, -2, -5440323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73026756 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14*10\/(-30)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826*p**2 - 267 + 267 + 6*p**3 - 846*p**2.\nAnswer: 6*p**3 - 20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*i - 2 = t, -4*i - 16 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1758\/85 - -406\/17. Put 0.11, -11, c in descending order.\nAnswer: c, 0.11, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9394*z + 18. Let m(j) = -3132*j + 5. Determine -7*m(h) + 2*p(h).\nAnswer: 3136*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 688892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -820 - -822. Solve -6*v - t*y + 6 = -4*v, -10 = -3*v - 2*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6222 + 26801. Is 52 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091602 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2679593, 2679591, 2679589, 2679587, 2679585?\n\"Answer: -2*v + 2679595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47227.\nAnswer: 83, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.031392ns in milliseconds?\nAnswer: 0.000003031392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 24. Let c be s(-16). Let o(r) = -2*r**2 - 15*r + 12. Let t be o(c). Put 5, t, 3, 2 in decreasing order.\nAnswer: 5, t, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 95*g**3\/4 - 87*g**2\/4 - 265*g\/2 - 48 = 0.\nAnswer: -32\/19, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - b = 3*b - 8, b = 2*g + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 7552462 - 9339396 = -4530018. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30339669 to the nearest 10000.\nAnswer: 30340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -537 + 288. Let w = 224.608 - -2.792. Let m = w + l. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8\/9, -23, 0.01, -1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*((244*a**3 - 1476*a**3 - 775*a**3 + 414*a**3)*(-a**2 + 3 - 3) + a**5 - 7*a**5 - 3*a**5).\nAnswer: -1584*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 + 5*q - 3. Let f be n(-4). Solve 4*c + f + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 77, 72, 67, 62, 57?\n\"Answer: -5*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -534, -508, -464, -396?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -26*g - 2. Give p(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + -65. Is (-5)\/(5\/r) + 3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 866.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from eggegeeegeeg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/(-9) - -3) + 135565\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 54636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:33 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 520\/728 - ((-998)\/14 + -3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*o + 18*a**2 - 2*a*o**3 - 2*o**3 - 2422*o**2 wrt a.\nAnswer: -2*a*o + 36*a - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -1\/4, -420, 0.4, 5, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112454, -112526, -112612, -112718, -112850?\nAnswer: -113014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.174 + -0.174. Let q be 1 + (-5)\/(175\/30). Which is the biggest value? (a) -4 (b) x (c) q (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -9) + -5 + 20\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -24 - -9 - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265757, -266048, -266339, -266630, -266921?\nAnswer: -267212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Let u = -1079.5 - -899. Let f = u + 181. Which is the nearest to h? (a) 2\/11 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 + 223 - ((-7 - 2) + (0 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9013, 18178, 27343, 36508, 45673, 54838?\n\"Answer: 9165*d - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 12312?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*s - 105 = 0, 253*l - s + 36 = 254*l - 18 - 42 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153)*-3 + sqrt(153)))))))\/(-4*sqrt(45)\/sqrt(5)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-2) - 0\/(-1). Factor 2*d**w - 2*d + 2*d**3 + d - 3*d**5.\nAnswer: -d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -495 and -492 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*(sqrt(60)*-2*-2 - sqrt(60)))\/((sqrt(108) - ((-2*sqrt(108) - sqrt(108))*2 + sqrt(108)))\/(-2*sqrt(729))) + -2)**2.\nAnswer: 432*sqrt(5) + 58324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7728 minus -24.2197?\nAnswer: 7752.2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*-238.1085\nAnswer: 714.3255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58489 is divided by 195.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -477197342.00000184 - -477197298. Let n = 18 - -26. Let b = z + n. 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: Suppose -2*z - 2*b - 21 = 3*b, 0 = -3*b + 15. Let y = 45 + z. What is the remainder when 64 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 0*w**2 - w**2 + (2 - 2 - 2*w)*(-w + w + 3*w) + 4*w + 2*w**2 - 4*w + w - w - 3*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*d - 68681 + 68681.\nAnswer: -102*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -63. Suppose 7*g = r*g - 380. Let q = -77 - g. Sort 6, 0, q in decreasing order.\nAnswer: 6, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15*r**2. Let i(d) = 73 + 80 + d**2 - 153. Calculate i(x(n)).\nAnswer: 225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:34 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + 3 + sqrt(720) + ((sqrt(720) + -5 - sqrt(720))*3)**2 + sqrt(720) + -3.\nAnswer: 24*sqrt(5) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let o(m) = 48*m. Determine p(o(z)).\nAnswer: -4608*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnllmummmlmmn. Give prob of picking 3 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 + 72180*h - 260497620 = 0.\nAnswer: 7218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-29 - (15 + -36))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8061720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*b - 13, -4*u + b + 4 = -3*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(3\/(-1)))\/(6\/(-12)). Find the common denominator of -1 + (-6)\/x - 3375\/150 and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/20160 - f**5\/20 - 11*f**2. Let y(z) be the third derivative of p(z). Let n(r) = -2*r. Determine n(y(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161121008.\nAnswer: 2, 61, 165083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 4*m - 2*m)*(6 + 13 + 2) to the form f + o*m and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4896, -9689, -14482?\nAnswer: -19275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015777892598 rounded to five decimal places?\nAnswer: -0.01578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.135.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*q*v**2 + 549*c*v**3 - 7*q*v**3 - 369*q*v with respect to c.\nAnswer: -2*q*v**2 + 549*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109631 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 2 - (-1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5\/7 + 148*y**4\/7 + 376*y**3 - 8176*y**2 - 108192*y = 0 for y.\nAnswer: -14, 0, 23, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3279 + 3282. What is the closest to -0.2 in p, 4, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 2. Let q be r(-4). Let x be 104\/q + 2\/5. Let d be x\/6 + 6\/(-18). Sort -3, d, 4 in ascending order.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:20 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 15) to base 8.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 250 (base 15) to base 3\nAnswer: 201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2217 + 199 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -568 + 582. Solve 4*s + 3*t + 2 = -o, 4*t = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/140)\/((-4)\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/45 and 71\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -0.35 in decreasing order.\nAnswer: 9, 4, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-8))\/((-20)\/16). Let g = 0.03 + 2.97. What is the nearest to 1\/3 in g, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 - 7029*b**3*p + 23*b**2*p + 11*b*p + b + 2*p wrt b?\nAnswer: -120*b**3 - 42174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -3\/20, -5, 0.017, -0.2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65207*w + 18 = 3*g + 65206*w, 2*w + 12 = 2*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15561, 4, -3 in decreasing order.\nAnswer: 4, -3, -15561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38424 divided by -4.\nAnswer: 9606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 2, m: 1, a: 2}. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17 + 5*d - 11 - 2*d**2 + 20*d. Let j be n(12). Calculate the highest common factor of j and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*s - 0*s - 10, -5*d - 2*s = -25. Suppose -d*z + 28 = 4. Suppose 28 = -4*v + z. Which is bigger: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/8 (b) 0.1 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108841 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -0.5 (c) -5 (d) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348371?\nAnswer: 61, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -12133033301?\nAnswer: -12133033301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (706200\/891)\/(-100) + (-3 + 1)*-4.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10638 - 4631. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1103 - 829. What is the remainder when i is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17900492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) 5 (c) 0.4868\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1088a (base 12) to base 7\nAnswer: 121060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 37*x - 83*x = -1442 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*o - 47, 69*o - 17 = 67*o - h for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 58*x**2 - 3364*x + 207. Factor s(w).\nAnswer: -(w - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {r: 7, b: 3, x: 1, w: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/4741933?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(272)*2 - (sqrt(272) + (sqrt(272) - (-1 + sqrt(272)))*4)) + 1*(2 + sqrt(272) + 1 + 1))**2.\nAnswer: -128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:15 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 5. Let r be 14\/8 + n\/24. Factor -o**r - 1\/3*o**4 + 0 - 1\/3*o - o**3.\nAnswer: -o*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3334278268.\nAnswer: 2, 647, 1288361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/4*(2 + 0). Solve i - 2 = 2*a, -4 + c = 5*i - 5*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284247354?\nAnswer: 2, 3, 47374559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 183*u**2 + 184*u + 123. Determine y(62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 d, and 1 a when four letters picked without replacement from {z: 2, a: 5, n: 9, d: 3}?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 14. What is m(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5421\/5 + -1084. What is the closest to -1\/5 in -1, 3\/2, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:16 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202 (base 3) in base 5?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -68979?\nAnswer: -275916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 78*v\/5 - 16.\nAnswer: 2*(v - 1)*(v + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -145 - (19 - -32)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**3 + 8*o**2 - 3*o + 16.\nAnswer: 42*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 4*f**3 - f**3 + (3*f**2 + 2*f**2 - 7*f**2)*(-f + 0*f - f))*(0 + 2*f**2 + 0) + (2 + 2 - 1)*(2*f**5 + 4*f**5 - 4*f**5).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 5*s**2 + 15*s**3 - 14*s + 0 + 2 - s.\nAnswer: 5*(s - 1)*(s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2952312 divided by 583\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 - 13*d**5 + 9*d**5 + (-d**2 + d**2 - 2*d**3)*(-13442*d + 13442*d + 36*d**2).\nAnswer: -71*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-25)*o)*o\/(o**(-2)*o)*(o**6)**(-39))**45 assuming o is positive.\nAnswer: o**(-9315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*h - n - 3, -5*h - 5*n = 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -5*q**8\/21 + 26*q**7\/7 - 359*q**6\/24 - 439*q**5\/48 + 75*q**4\/16 + 125*q**3\/24 + 62*q**2. Let u(b) = 0. What is b?\nAnswer: -1\/4, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 52 = 2*h, -2*h + w = -3*h + 24. Solve -4*i + i = s - 9, -5*i + h = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15717 - 7883 - 7834 - 59*k**2 + 30*k + 24*k.\nAnswer: -59*k**2 + 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/10)\/(6\/15). Suppose -562 = -w*f + 86. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 3)*(2 - 6 + 3) - 4 + 3 - 1)*(2*c**2 + 3 - 3).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 125 + 141, -3*v = 2*t + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:29 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -84. Let o = 136 + s. Let x = 88 - o. Sort 3, x, 2\/13, -0.2 in descending order.\nAnswer: x, 3, 2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from ahyazvzhn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -14 - -4 - 2) + (-92 - -75).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-3 + -3)\/(-3)). Let v be -2*((-9)\/(-2) + -2). Put v, 3, n in ascending order.\nAnswer: v, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14*(-18 + (14 - 0)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -120. Let j = c - 13. Which is greater: j or -1\/59?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a year in months?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293460.489 minutes to weeks.\nAnswer: 29.11314375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/(r\/((r**(-8)*r)\/r)))\/(r**(-3)\/r)**(-11\/2) assuming r is positive.\nAnswer: r**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320\/480*27\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 1588, 1956, 2298, 2602, 2856?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 3*n. Let y(k) = -11*k**2 + 20*k + 9. Let f(g) = -y(g) - 4*z(g). Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -106*u + 4886. Let d be s(46). Solve -d = 10*r + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/2 + 970492*f - 1940985\/2 = 0.\nAnswer: -1940985, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -40, -1.35, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2365 and 0.274?\nAnswer: -648.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.31? (a) 0.5 (b) -0.11 (c) -58\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 0, -574, -0.4, -5, -27\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 5*r. Let w = r + 2. Let d = 15 + w. Solve 4*n + 35 = 4*t + t, 5*n = -4*t - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 2888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*s = 242*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 63203.35 millennia?\nAnswer: 63203350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -h - 4*j, -2*h + 5 = 3*h + 4*j. Is 22 a factor of (23 + -4 + 3)*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.775439 hours in microseconds?\nAnswer: 17191580400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 1611*o\/7 + 74820\/7.\nAnswer: -3*(o - 43)*(o + 580)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 305 in 2, -486, -2\/11, -0.1, 6, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:53 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:15 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + -7 + 8. Let w = 5\/7 + -1\/21. Which is bigger: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. What is the units digit of 10\/(0\/o - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 12) in base 3?\nAnswer: 2101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 72 = -7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1457\/4 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and -69\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssjsmjsssjmsjssssms. What is prob of sequence ssjj?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:56 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060915 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -194. Let y = 153 + k. Solve 0 = -y*f + 7*f - 10, -z - 3 = -2*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -115?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -87.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 4*j**3 + j**2 + 305 - 3*j + 2*j**3.\nAnswer: 6*j**3 + 2*j**2 - 3*j + 305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22257 and 19784?\nAnswer: 178056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24405094 divided by 24405094.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -17*c**2 - 113. Let w(i) = 6*i. Calculate g(w(d)).\nAnswer: -204*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2968*k - 2760*k + 4576 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 4*q**2 + q**2)*(0*q**2 - 9*q**2 - 3*q**2) + 0*q**4 + 2*q**4 - 3*q**4 - 5*q**4 - 3*q**4 + 6*q**4 + (-1 + 1 + 2*q)*(2*q - 2*q**3 - 2*q).\nAnswer: 53*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(-2))*v**(3\/5))\/(v*(((v*v**(-7))\/v*v)\/v*v)\/v*v**0)*(v**(1\/5)*v**7)\/(((v\/(v\/v**(6\/7)))\/v)\/(v\/(v**(4\/7)*v)*v)) assuming v is positive.\nAnswer: v**(538\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 10948.05780868?\nAnswer: 10948.35780868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1.12. Let z = 8.82 - r. Let c = -8 + z. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/6 - s**3\/6 + 11*s. What is the second derivative of z(w) wrt w?\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and -1.7221?\nAnswer: -84.3829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 6 + -12*(-3)\/(-16). What is the nearest to -2 in -10, p, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1973 divided by -34935.\nAnswer: -1973\/34935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -20 + 165 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-91)\/(-26) + 1\/2. Let b be ((-2)\/(-24))\/(c\/(-18)). Let g = 1 - 2. What is the biggest value in g, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 8}. Give prob of sequence ssss.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k**2)*(0 + 1 - 4 + (9 - 5 - 3)*(2 + 4 - 3) + 1 + 0 - 2 + (-4 - 3 + 5)*(-1 + 0 + 2)) - 4*k**2 - 3*k**2 - 8*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226\/3 in 0.4, 1, -65.86, -0.03?\nAnswer: -65.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 204977 divided by 6\nAnswer: 204977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 8\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000097617 to 6 dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 9. Let j be a(6). Suppose p = 3*i + 7 - j, 3*p = -4*i - 14. Let u be 51 + i\/(2\/1). Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -105. Suppose 5*w + n - 22 = 0, -2*w + 33*n - 37*n - 2 = k. Which is the third smallest value? (a) 2\/11 (b) 1\/5 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0138 times -6930.6\nAnswer: -95.64228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.0472 - 0.0428. Let u = -0.09 - w. Let a = 3.2 - u. What is the closest to 0 in -1\/3, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/6, 1, 486, -2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**5 + 5453*f**4 - 145755*f**3 + 175042*f**2 - 34736*f = 0.\nAnswer: 0, 1\/4, 1, 26, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5980753 is divided by 1869.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 - 5*z - 1. Let t(g) = 3*g - 30. Let c be t(12). Let l be (10\/4)\/(c\/(6 + 6)). Let s(q) = 6*q**2 + 4*q + 1. What is l*s(w) + 4*a(w)?\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -55*i + 935. Give o(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, -6, 100 in descending order.\nAnswer: 100, 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25836 greater than 25832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*(-18 - 322\/(-21)) + (-16588)\/(-2610).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 1646990*l**2 - 37883415*l = 0.\nAnswer: -329421, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.065*0.6.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 241, 639, 1311, 2323, 3741, 5631, 8059?\n\"Answer: 11*c**3 + 38*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 62.5*-2363\nAnswer: -147687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1977*k - 291527 - 248790 = 1883*k - 107997 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 - 10*o**3\/3 + 14. Find the third derivative of v(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 465 + 332. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479.5 to the nearest 10.\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 31. Let k = -1.9 + 2. What is the nearest to -0.1 in k, u, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 57*k**3 - 342*k**2 - 5*k - 10492. Let z(p) = -26*p**3 + 170*p**2 + 2*p + 5246. Let o(h) = -4*t(h) - 9*z(h). What is the derivative of o(m) wrt m?\nAnswer: 18*m**2 - 324*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h + 704. Let l(a) = -97*a - 1. Calculate t(l(y)).\nAnswer: 2037*y + 725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 137. Solve 0 = -2*f + 4*f - 4*w + 16, 0 = -3*f + 3*w - t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3. Let y(i) be the third derivative of -i**4\/24 + 5*i**3\/6 + 25*i**2 - 2. Calculate 5*m(u) + 3*y(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.3405 to 1 decimal place.\nAnswer: -64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -979008254 rounded to the nearest one hundred thousand?\nAnswer: -979000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 11580863?\nAnswer: 11580866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -500988*h**2*v + h*v + 5267*v - 749 wrt h?\nAnswer: -1001976*h*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}