{"text":"Question: What is 24563386600 rounded to the nearest 1000000?\nAnswer: 24563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/42 - 4\/14) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -852  (b) 2\/21  (c) -1\/4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + i + 1. Let z(c) = -13*c**2 + 37*c + 2*c**2 - 5 - 16*c - 3*c - 22*c. Give -5*k(l) - z(l).\nAnswer: 6*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*9\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -168\/5, -4\/9, -6.8 in descending order.\nAnswer: -4\/9, -6.8, -168\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/36 and -83\/1890.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -666532607?\nAnswer: 666532604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (((-48)\/(-28))\/(-3))\/(1\/1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -44, -38, -34, -32?\n\"Answer: -p**2 + 9*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of n**4\/8 + n**3\/6 - 27*n**2. What is the first derivative of y(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 4, -17, -0.02?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 17*b - 10. Let q be x(17). Let l be (q\/35)\/(3\/(-21)). Let j(v) = v**2 + 4. Let n be j(0). Solve 3*p = 5*w + 6, -2*p + 0*p = l*w - n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 188814419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 53177\/8 + -6647. Sort -1, 2\/3, -4\/3, u, -43.\nAnswer: -43, -4\/3, -1, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14676 - 1273. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 7:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 67518576 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 0*t**2 - 5*t - t**2 + 2*t + t. Let l be w(-2). Let r(x) = x**2 - x + 69. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -10*q + 4. Let a(g) be the first derivative of -q + 1\/4*g**4 - 2*g - 7\/3*g**3 + 3*g**2. What is a(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1739 divided by 30.\nAnswer: 1739\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 7*k**2. Let a(l) = 7*l**3 - 36*l**2 + 4*l + 6. Let f(z) = a(z) + 6*y(z). Calculate f(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**3 + 4*k**2 - 2*k - 2. Let a be f(2). Let s be 17\/a + 22\/4. Find the second derivative of -3*y**4 - 4*y - y**4 + 4*y**4 - s*y**5 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 201?  (a) 1\/6  (b) -0.5  (c) 6.5  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6772, -2\/5, 0.4, -231 in decreasing order.\nAnswer: 6772, 0.4, -2\/5, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/7)\/(12\/63) - -2. Is n less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 227741775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -860*a + 348181 = 6816*a - 32095 + 65560 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from zzffzzgfzzgozggog.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**2 - 585*x - 2*x**3 + 4*x**3 + 0*x**3.\nAnswer: 2*x**3 + 3*x**2 - 585*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 967135, 1934270, 2901405, 3868540?\nAnswer: 4835675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5 = -3*s - 4*g, 5*s - g = 1. Suppose -139 = 10*l - 13*l + 4*c, -270 = -5*l - c. Suppose s = -4*i + 5*i - l. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vdzjvvjvzzvfjnj. What is prob of sequence vvz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 9 = 3*q - y, 9 = 4*q + y. Suppose -q*r + r = -54. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -436766.05 rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -15) + (-33 - 4) + 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/342 and -139\/54.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and 14313704966814.\nAnswer: 14313704966813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5470*i**4\/3 - 262556*i**3\/3 - 1050176*i**2 + 768*i = 0.\nAnswer: -24, 0, 2\/2735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {z: 2, f: 1, v: 1, c: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {f: 2, v: 1, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*t + 69*t - 732 = -29*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 3*r - 11, 2*i - 14 = -2*i - 2*r. Suppose k + 3 = -i. What is the remainder when 46 is divided by k\/(-32) - (-47)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 13*d + 81840. Round d to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 - 14*c**2 + 22*c + 23. What are the prime factors of k(12)?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 248, 1123, 2626, 4763, 7540?\n\"Answer: n**3 + 308*n**2 - 56*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**3\/7 + 353952*m**2\/7 + 2237229462*m + 4474256668 = 0. What is m?\nAnswer: -88487, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -17, -31, -59, -107, -181?\n\"Answer: -j**3 - j**2 - 4*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 208*n**3*r - 174875*n**3 + 41*n**2*r - 112*n + 241*r wrt r?\nAnswer: 208*n**3 + 41*n**2 + 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 + 78*b - 79. Give t(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 12 = q - 4*x, 0 = -3*q + 3*x - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 588765744 by -6.\nAnswer: -98127624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(4\/9)*d**(2\/25))\/(d**(-1)*d)**(3\/19)*(d**(-4)\/d**(-5))\/(d**(-7\/4)*d**4) assuming d is positive.\nAnswer: d**(-653\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2\/9)*u)**47*u**(-1)*((u\/(u**(1\/5)*u))\/u)\/u)**(3\/7) assuming u is positive.\nAnswer: u**(1501\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*6\/(-72)*2)\/((-19)\/(-3))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 192153673*v - 93116607.\nAnswer: 192153673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*h, -932 = -3*z - 2*h + 1336. List the prime factors of z.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1304 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 15 = 3*u. Let f be (-12)\/(-78) + (-189)\/(-39) + u. Solve 10\/9*r + 2\/9*r**3 + 8\/9*r**f + 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*o**2 + 78*o - 36.\nAnswer: -2*(o - 3)*(11*o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 + -233?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 6690.4954 to zero decimal places.\nAnswer: 6690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 4) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 126*l**2 + 6644*l + 4769. Calculate q(-52).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -28, -46, -86, -160, -280?\n\"Answer: -2*b**3 + b**2 - 7*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -5 + sqrt(363)*-1 + 5.\nAnswer: -11*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.385 and -5.\nAnswer: 1.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.203, -2, -2\/13, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003801345777 to seven dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 10*l - 32. Let r(k) = 4*k - 13. Let j(m) = 5*b(m) - 12*r(m). Let h(d) = -1. Calculate -5*h(n) + j(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4869 is divided by 789.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141892 is divided by 563.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uovquv. What is prob of sequence vuo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 67067290 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 132 - 104 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**2. Suppose 153*n = 144*n + 36. Let m(f) be the third derivative of 5\/6*f**n + 11*f**2 + 0*f**3 + 0*f + 0. Give m(p(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(15\/11)))\/c**(-2\/17) assuming c is positive.\nAnswer: c**(277\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22860614*b**2 - 15876416*b wrt b?\nAnswer: -45721228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44102 is divided by 7348.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 - 15*z - 23. Let j be y(-12). Solve 4*k = 5*x - 5, -x + k = 3*k + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 3*r - 4*r)*(-1 - 4 + 2)*(-2*r + 6 - 6) + (-3*r + r + 4*r)*(-22*r - 169 + 169) + r**2 - 3*r + 3*r + (r + r - 3*r)*(4*r + r - 6*r).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 1755.017409 to the nearest 10.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -60*j - 20. What is the units digit of r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -118 - -170. What is the remainder when u is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*i + 2, 107*i = -a + 105*i - 3. Sort -12, a, -5, -4, 4 in increasing order.\nAnswer: -12, -5, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*i = 15*i - 35*i + 335. Solve 0 = 3*z + i*h + 40, 4*z + 7*h - 2*h + 45 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 + (-4913)\/340)*(-6)\/(-33).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -174 and 0.72.\nAnswer: -173.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 32041 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 78*((-841)\/(-29))\/232*4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 216 and 133440120.\nAnswer: 400320360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1071063*r**4 + 4552866*r + 1 wrt r.\nAnswer: -12852756*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 128 = 107. Suppose -144 = -38*k + q*k. Put 0, k, -3, -4 in decreasing order.\nAnswer: 0, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p - 1. Let y(m) = 5 - 5*m - 9 + 3. Calculate f(l) - y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/7)\/((-1)\/((-10)\/(-1))*-5).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13135021 is divided by 1910.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 13 = -2*m - 50, -3*a = -5*m - 188. Suppose 54*c + 462 = a*c. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((330\/(-10))\/11)\/(1\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -7*k - 2. Let p be (-10)\/6*-3*1. Let i(j) = 8*j + 2. Suppose -105 = 3*f - 123. Calculate f*o(q) + p*i(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(4\/18*3) - -5. Solve s = -0*s + w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1837 + -9183\/5. Let t = 0 + 0. Which is the closest to t?  (a) 0.3  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23832660 divided by 5958165\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((480\/18)\/(-8))\/((-12)\/9*-3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 683484041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-19))**(1\/46))**(-42) assuming x is positive.\nAnswer: x**(399\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 260156 and 8476.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 54) + 117 + -88.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - -25. Let x(w) = -10*w. Let h be x(-5). Suppose 0 = -3*r + l + 91, -2*r + h = 5*l - k. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 15*n + 4. Let i be b(15). Suppose -2*v = -2*h + 3 + 9, i*h + 3*v = 24. Suppose 3882 + 840 = h*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -436\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2058 = -10*q + 1062. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - s**3 + 2 + (2*s + 3*s - 3*s)*(-3*s**2 - s + s) + s**3 - 4*s**3 + 0*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - d = -26, -4*a + 16 - 32 = 4*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 5*x**2 - 1360*x - 6. Determine j(272).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15477 and 5350884.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 5*i**2. Let s be v(-1). Suppose -s*z = -4 - 11. Let f = -0.33 - -0.03. Which is the closest to 2\/7?  (a) f  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4962 + -13?\nAnswer: -4975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 4*a + 2*l, -2*l - 33 = -43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -81*w + 5349. What is the units digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37\/5, 3\/5, -0.2, -0.3 in increasing order.\nAnswer: -0.3, -0.2, 3\/5, 37\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -913766 and -81948.\nAnswer: -995714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.015 times -392?\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -110352*i + 1815*i**2 - 86640*i + 54308*i - 275427 - 56733*i - 74192*i - 3*i**3.\nAnswer: -3*(i - 303)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5680636411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/2)\/(((-12)\/(-3))\/(-8)). Solve -4*s - 9 = -5*w, 0*w - 2*w + 30 = o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 684 a factor of 2374771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 173060269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/24)*l**25*l*l**7*l**10)**(-3\/20) assuming l is positive.\nAnswer: l**(-1033\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 155876.9 - 155877. Let v(h) = h**3 + 4*h**2 - 5. Let o be v(-4). Which is the closest to 2\/7?  (a) g  (b) o  (c) 17  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 176 and 1984?\nAnswer: 21824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 816725.\nAnswer: 5, 7, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 8 - (6 - (2 + -7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (14 - 20) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/18*(9\/72 + 241\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1129104703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 8 = a, -3*a - 2*a = -5*c. Let j = 21800 + -21798. Calculate the greatest common divisor of c and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1888839514 to the nearest integer?\nAnswer: 43461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1) + (1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1953, -1497, 0.4, 4\/7?\nAnswer: 0.1953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7147767038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 852 and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - 13 + 50*j + 27 as d + l*j and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*((f**(4\/3)*f)\/f)\/f)\/f*f)\/f)**(-44)*(f\/(f*(f**28\/f)\/f))\/f*f\/f**(8\/7))**(9\/10) assuming f is positive.\nAnswer: f**(-1317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 8*b - 7. Let a be x(-9). Solve 3*w = 2*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 - 65\/(-15)) + 1\/(-3). Let o(z) = -z**2 + 1. Let f be o(l). Suppose b + f*b = 106. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -783 divided by 3\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**3 - 5*c**2 + 3*c + 55. What is v(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from {j: 4, a: 1, p: 8, f: 2, i: 2, n: 3}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40667276 divided by -5564.\nAnswer: -7309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**2 + 3*z + 4. Let d be ((-24)\/60)\/((-11)\/(-5) - 2). Let a be ((-16)\/(-7) + d)\/(1\/14). Let j(t) = t**2 + t + 1. Determine a*j(m) - u(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 27db (base 14) in base 16?\nAnswer: 1b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 214.71 - 215. Let q = -2.71 + s. Which is the closest to 0.1?  (a) -2  (b) -0.2  (c) 5  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4964943683 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5\/1212 + -9731\/8484. Put 0.062, o, -0.4, 5 in decreasing order.\nAnswer: 5, 0.062, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42490\/47 - 904. Let r be (2 - 0)*(-3)\/6. Which is greater: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/18 - 1\/(-3). Suppose v = -2*f + y + 9, 0*f - 3*f + y = -15. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186936241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555*q = 700*q + 99145 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70 + 274*c**2 - 547*c**2 + 275*c**2)*(c + c - 3*c).\nAnswer: -2*c**3 - 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*n + 3, n + 2 = 2*z + 6. Let d = 45 + -36. Let i be 11\/d - (-14)\/(-63). Sort i, z, 6.\nAnswer: z, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*m - 43 = 4*d, 5*m = 4*d - 27. Let s = m - -9. Let o be ((-12)\/s)\/(6\/(-39)). What is the highest common factor of o and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/432 and -1\/6066.\nAnswer: 145584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/4 + 19\/(-2). Let l be (3\/12)\/(w\/(-1872)). Let i = -47 + l. Put -3, i, 0.4 in descending order.\nAnswer: 0.4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-435)\/(-50)*395\/(-474)\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 3*r**3 + 4755*r**2 - 96000*r + 481500 = 0?\nAnswer: -1605, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*c + 46*c = -160 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08083 + 0.11083. Let n = -23 - -23. Suppose 0 = 2*m - 5*d + 29, -4*m - 2*d = -d + 3. Which is the closest to f?  (a) m  (b) n  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 814 = 124*k + 194. Let c = 6 - 9. What is the third smallest value in c, k, -4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/((-1)\/(-2)*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(((-1170)\/7020)\/(1\/((-231)\/2)))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13195\/117 - 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kegg when four letters picked without replacement from {e: 4, w: 1, g: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -8*f. Let a(v) be the third derivative of -v**7\/2520 - 5*v**5\/12 - 5*v**2. Let q(n) be the third derivative of a(n). What is q(r(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100092.24656321 + -1.\nAnswer: 100091.24656321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f - 17*f + 9*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + 3*z**3 - z**3)*(-6 - 5 + 5) + 3*z**3 - 2 + 2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*z - 4*x, 0 = -5*z + 5*x + 5. Suppose 2*v + 7 + 9 = z*s, -10 = 2*v + s. What is the units digit of (-133)\/(-5) - v\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 10:17 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*w - 41 = 0, 2*x - 3*w = -2*x + 141. Suppose 4*s - 4*i - x = 0, -i + 3 = -0*i. Solve -s = 4*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 11315?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 129*b**5\/10 - b**3\/6 + 28*b. Let h be s(1). Does 14 divide h\/3 + (-12)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02119646425 rounded to 4 decimal places?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = -6*n - 36. What is the smallest common multiple of 10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (9\/(-3) + 13)*13.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6697000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.442902ug to nanograms.\nAnswer: 2442.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.8 + -0.4. Let q = -27 + 27. Let z = 2 + -2.5. Which is the nearest to q?  (a) z  (b) f  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 82*v**2 + 23*v - 367. What is the thousands digit of x(82)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244957900 rounded to the nearest one hundred thousand?\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 5*n**2 + 2*n + 15. What is the hundreds digit of k(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1931058914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**10*n*n*n**(-2\/73)*n**(12\/7)*n**(-2) assuming n is positive.\nAnswer: n**(-3737\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -61. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 23. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from lllglygyllgllllylll.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -770b (base 12) to base 8\nAnswer: -31473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11866763 is divided by 439509?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 + -34. Let f(c) = -5*c**2 - c + k*c + 3*c**2. Let w be (-1 - 2) + 1 + 3. Calculate f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*r + 481 = -69, -3*r = -o + 182. Let l = 314 - o. What are the prime factors of l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 26*c - 28 = 0. Suppose 4*w = f + 59, -c*w - f + 3 + 34 = 0. Solve -5*s = -4*p - w, -2*s + 23 = 3*p + 3*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6434 is divided by 292?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 5, 3, 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114371.\nAnswer: 114371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 greater than or equal to -4936\/655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3597806914 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 279 - 182. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence di when two letters picked without replacement from drmriiriym?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-6\/7)*(b**(-6)\/b)\/b*(b\/(b\/b**0)*b)**(-3\/40))**(-5\/6) assuming b is positive.\nAnswer: b**(647\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 3*o = -177, 3*o + 2126 - 2303 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 5*l - 3*x - 11, 0 = 3*l - 4*x - 25. Let p = -5 + l. List the prime factors of (-32)\/(-10) + p\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-13475)\/(-27) - (8 + (-1712)\/216).\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.308872026 + 2.\nAnswer: 0.691127974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -13, 2\/7, 78205, -5 in descending order.\nAnswer: 78205, 2\/7, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + -24 + (-14 - -13) + 13.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7\/4  (b) 5906\/17  (c) 3  (d) -0.2  (e) -0.5  (f) 5  (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeww when four letters picked without replacement from {e: 8, x: 3, w: 5}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/14 - (-30)\/(-7). Let n(w) = 4*w**2 - 25*w. Let i be n(7). Suppose -5*k + i = -3*q, -5 - 2 = q - 3*k. Is q >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*4*(-35)\/(-60). Let k be 15\/(-8 - -3) + 1*g. Solve p - 3*u = 12, 2 = k*p - 2*u - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 3123?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w**(-4\/31)*w))\/((w**9*w)\/w))**24 assuming w is positive.\nAnswer: w**(-5856\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(((-58950)\/975)\/131)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 3. Suppose 0 = 4*d + 4*r - 52, 0*d + 2*r + k = d. Let y = 93 + -51. What is the smallest common multiple of d and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 15*h - 12. Suppose -78 = 26*x - 0. Let a be 2 - x - (-336)\/(-16). What is y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -215606 - -3?\nAnswer: -215603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 9*p - 8. Let a be x(-9). Let d(m) = -m**2 - 9*m. Let f be d(a). Solve -3*n + f*n = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 t, 1 s, and 1 c when four letters picked without replacement from {b: 5, s: 1, t: 3, c: 6, v: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*z - 4*s - 76, -217*s - 15 = 11*z - 107*s - 105*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 6*g - 3*g. Suppose -u = 2 - g. Let z = -3 + u. Which is smaller: z or 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 16333*h**2 + 18*h + 67. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwbw. What is prob of picking 1 b and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 117, 258, 495, 858, 1377, 2082?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 5*n. Let r be b(-5). Suppose 4*d - 5 - 11 = r. Factor -5*t + 8*t**3 + 16 - 20 + d*t**4 - 3*t.\nAnswer: 4*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -q**2\/2 - 7*q + 15. Differentiate x(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p**2 + 2*p - 1. Let w be l(1). Put -4, 3, w in increasing order.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -54?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q**(-1\/8)*q))**(-2\/95)*q**(-4\/11)\/q*q*q**21)**45 assuming q is positive.\nAnswer: q**(777825\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 302727661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -220.4, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 5:27 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 1)*(u**3 - 3*u**2 + 3*u**2)*(-4*u + u - 3*u) - 21957 - 7*u**4 - 78*u**4 + 21959 as x + r*u**4 + k*u**2 + d*u + j*u**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -77*t**2 - 91*t**2 + 216*t**4 - 56*t**2 + 114*t**2 wrt t?\nAnswer: 5184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g + 2*g - 3*g. Let r(p) be the second derivative of -p**4\/6 + 16*p. What is y(r(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z + 34 + 20. Let u(i) = 9*i - 7. Let w be u(2). Let s = -12 + w. Sort 1, z, s in decreasing order.\nAnswer: z, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -191*g**3 - 15*g**2 - 42*g - 25. Let r(q) = 96*q**3 + 7*q**2 + 20*q + 12. Let z(k) = -6*o(k) - 13*r(k). What is the units digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - v = -3*r + 31, -r = 3*v - 15. What is the highest common factor of r and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i - 6. Let v be p(2). What is the third derivative of 10*x**v - 2*x**3 - 29 + 29 - 14*x**3 wrt x?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h + 17*h = -4. Solve 2 = -t - h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cdlelcclecdclerl. Give prob of sequence dr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/1 + 0\/29. Let q = 4063 + -20311\/5. What is the fourth biggest value in q, -1\/3, h, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 19*a**2 + 91*a + 5. Give f(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 843389 is divided by 352?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a factor of 1771744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*u**5 + 0*u**5 - 10*u**5 + (193 + 200 - 414)*(u**5 + 2 - 2).\nAnswer: -17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 11 = 1. Suppose -655 = -5*s + 5*v, -r*v = 3*s - s - 297. What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**1*l*(l**(2\/31)\/l)\/l*(l\/l**(5\/4))**17 assuming l is positive.\nAnswer: l**(-643\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**2*y - 13*m**2 + 12711*m + 180515916*y**2 - 376 with respect to y.\nAnswer: -2*m**2 + 361031832*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + -2.2. Let u = -0.2 - -4.2. What is the second smallest value in -0.1, n, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 601429 rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 4*r. Let a(f) = -f**3 - f**2 + 2*f - 3. Let b be a(-3). Let y(m) = 4*m**2 + 16*m. Let u(i) = b*w(i) - 2*y(i). What is u(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -20*t**2 - 4*t - 3. Let h(k) = -k**2 - k - 1. Let r(a) = -3*h(a) + n(a). Find the second derivative of r(c) wrt c.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 54*r - 5. Let u(g) = -54*g + 6. Let t(n) = -3*d(n) - 2*u(n). Let x = 15 + -16. What are the prime factors of t(x)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -224 divided by 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {b: 17, x: 3}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/(-75) + 258\/(-90). Sort x, 0.5, 3 in descending order.\nAnswer: 3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 582213 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -35 + -20?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + v = 209, v + 2*v + 45 = z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11, -98, -185, -272, -359?\n\"Answer: -87*m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -288 by -6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -329*u. Let g(d) = 2*d. Let i(j) = -47*g(j) - o(j). Let f(l) be the first derivative of l**3\/3 - 87. Give f(i(z)).\nAnswer: 55225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 231 - 118. Suppose 5*d - 5 = 0, 2*p = 4*p - 3*d - g. Calculate the greatest common divisor of 87 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by 2674.\nAnswer: 39\/2674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -96 + 68. Let r be (-44)\/t + -3 - -2. Suppose 3*k + 1 = -14, 5*z + 20 = -4*k. Which is bigger: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3988*a + 5950 = 3763*a - 3275 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -3*h - 12, 0 = 3*h + h + 16. Solve -4 = 3*g - c, 2*g + 4*c + v = -12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vwwwwwvvvwwwvwwwww?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 5*h - 6. Let q be k(5). Let g be (6\/4)\/(q\/(-4)). What is the derivative of -1 - 4 - g - i**2 wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17756 (base 10) in base 2?\nAnswer: -100010101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*i + 205*i + 31*i = 94*i + 9019 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27798 is divided by 3971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 3290.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/37038900 and 121\/1000.\nAnswer: 370389000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b + 3*b + 3*b)*(0 + 1 - 3) + 4 - 28*b - 4 as f*b + t and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of s**7\/42 + s**6\/8 - s**5\/12 - 5*s**4\/8 + 47*s**2. Solve v(g) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**2 - 1592*x + 137976. What is d(109)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzygzyyuy. Give prob of picking 1 z and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-273)\/(-18) + -8)\/(3\/18)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1997848199 to the power of 1\/2, to the nearest integer?\nAnswer: 44697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 6*m - 348. Let z = m + -56. What is the second derivative of -16*q - 3*q + 2*q + 11*q**2 + z*q**2 wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 246500*m**3 + 61705*m**2 - 308105*m - 100 = 0. What is m?\nAnswer: -5\/4, -4\/12325, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -188 - -190. Find the third derivative of -8*g**2 + 4*g**s - 41*g**6 - 16*g**2 wrt g.\nAnswer: -4920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*a + 0*a + 0*a)*(4 - 4 - 2*a) + 2*a**2 - 3*a + 3*a)*((2 - 2 + 2*a)*(2 - 2 + 3*a) + 7*a**2 - 3 + 3).\nAnswer: -26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + -21.2. Let h = -20.99948 - t. Round h to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 346 + -311 + -63 + -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -17 + 37\/((-74)\/(-33)). Which is the closest to -0.94?  (a) h  (b) -6  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (101\/((-202)\/4))\/(-1*1\/4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((((c\/c**0)\/c)\/c)\/c))\/c)**27*(c**(-5)*c)\/(c**(-7)\/c*c) assuming c is positive.\nAnswer: c**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 2. Let r(m) = 3*m - 3*m**2 - 2*m + 2 + 4*m**2. Calculate r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 10*g**2 + 11*g - 2. Let z(f) = -f**2 + f - 1. Let n(t) = -y(t) + 4*z(t). Let o be n(-6). Let j = o + -13. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 69 = -12*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -8*m**2 - m - 2. Let a(u) = 84*u + 174. Let p be a(-2). Let j(k) = k**2. Calculate p*j(c) + d(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 85291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7379*v - 140187. Calculate a(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 400476060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qad. What is prob of picking 1 d and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m - 114 = -26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s + 11. Let n be b(7). Sort 3, 15, n in decreasing order.\nAnswer: 15, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + -4)*(-4 - -3). Let n be (-4)\/(-30) + (-669)\/(-45). What is the highest common divisor of k and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 138 + -329. Let p = d - -135.9. What is p rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15208, 15210, 15212, 15214, 15216, 15218?\nAnswer: 15220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -n**4\/4 - 24397*n**3 - 97587*n**2\/4 = 0.\nAnswer: -97587, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 4 + (6 - 11 - -10) - 32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11617238 to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/6)\/(u*u**(-6))*(u**(3\/5)\/u*u)\/u**3)**(-42) assuming u is positive.\nAnswer: u**(-511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnggg. What is prob of picking 1 g and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/96914 and -14\/5.\nAnswer: 484570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 1:27 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)\/sqrt(90))\/(sqrt(10) - sqrt(180)\/sqrt(2)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-4 + 0 + (sqrt(112) + -1 - sqrt(7)))*-2)**2.\nAnswer: -1920*sqrt(7) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k - 1. Let x(r) = -432*r - 159. Let g(y) = -3*i(y) + x(y). Let u be g(4). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by -13565.\nAnswer: 7\/2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -906900 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4090023199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/35 - -29\/210. Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uru when three letters picked without replacement from rcbruu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(75)*-3*-4.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180991533.\nAnswer: 3, 60330511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 34463458, 34463457, 34463456, 34463455, 34463454?\n\"Answer: -p + 34463459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(24)\/(sqrt(8) - sqrt(200)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1052\/9  (b) 0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 4*m + 2)*(-3*m**2 + 3*m - 3*m)*(-1 + 1 - 1 + (0 - 2 + 1)*(0 + 4 - 2)).\nAnswer: -36*m**3 + 54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 93*z - 97. Calculate f(0).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2886 bigger than 2888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/((-3)\/2 + 0). Calculate the highest common factor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050573 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17439?\nAnswer: 3, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 2*u - 35. Suppose 4*p - 3 - 9 = 0. Suppose -v - p*v = -168. What is the greatest common divisor of v and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + r + 16 = 0, 0 = -4*o - 0*r + r - 11. Find the common denominator of o - (303\/(-42) - -4) and 85\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 39 = -d + 31, 73 = d - 4*u. What is the greatest common factor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11553443?\nAnswer: 11, 95483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -1\/18, -0.814166?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 28555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -26*t - 4. Let h be v(-2). Calculate the greatest common divisor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001427 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*t + 4*c, -2*t - 2*c = -c - 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 31  (b) 1\/3  (c) 327  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 39082 - 30*b - 16*b - 39085 in the form k*b + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1030323110 (base 4) to base 16\nAnswer: -4ced4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from tptptppppupptptpptut.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 104 + -100. Let d = 0.7 - -0.1. Let p = d - 0.5. What is the closest to 0.2 in v, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -37\/24 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -512, 420, 1972, 4144, 6936?\n\"Answer: 310*d**2 + 2*d - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/(-150))\/(2\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -0.105.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 10*n + 196. What is l(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 25, 2*y - f + 61 = -0*f. Let d = -1 - y. Suppose -2*t + 10 = 3*t. What is the highest common divisor of d and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-82570)\/4186 - (-15)\/(-35)) + 2\/13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + m**2 - 2*m**2 + 9 + (-4 - 6*m + 4)*(0 + 0 + 1 + (-3 + 3 + 1)*(-3 - 1 + 3) - 1 - 1 - 1)*(-m + 0*m + 7*m).\nAnswer: 107*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 8*q - 4. Let o(v) = -7*v + 3. Let u(m) = -4*o(m) - 3*r(m). Let x(i) = -3*i**2. What is u(x(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121110 (base 3) to base 14.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -2. Suppose -c - f*d - 26 = -3*c, -2*c - 2*d = -18. Calculate the remainder when 32 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64741 divided by 4?\nAnswer: 64741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1791, 7180, 16169, 28758, 44947, 64736?\n\"Answer: 1800*z**2 - 11*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*a - 83*a**3 + 28*a**3 + 149*a - 55*a - 45*a.\nAnswer: -55*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(30)\/sqrt(726).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s - 4*s + 2*s)*(3*s**3 + 2*s**3 - s**3)*(-2 - 4 + 4)*(10*s - 10 + 10).\nAnswer: -160*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**3\/3 - 2*m**2 - 2*m. Let l(b) = 2*b - 3. Let h be l(4). List the prime factors of v(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - u**2 + 2*u. Let j be t(2). Is 10 a factor of -33*(j\/3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 3:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*f**2 - 5*f**2 + 7*f**2 in the form g*f + u*f**2 + c and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -5*i. Let o(d) be the third derivative of -d**6\/720 - d**4\/12 - d**2. Let k(u) be the second derivative of o(u). Calculate r(k(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -514*-54.\nAnswer: 27756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4311242 - 11111242. Round g to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 5*n + 3909 - 3932, -3*n = 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4, 0.5, -22, 0.2, -3\/38, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + f = 27, u + f + 2*f - 11 = 0. Suppose 3*z + u = 20. Suppose -3*x - 8 = -z*x. Solve -x*g + 16 = 0, 3*q - 18 = -4*g + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75363652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 11*d**2 - 15*d - 13. Let m(w) = -w**2 - 11*w - 1. Let f = -83 - -73. Let h be m(f). Let k be i(h). Solve -k - 5 = 4*x + 3*g, -3*g = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -4*q - 13. Let k = 24 - q. Is 24 a factor of 2\/k + (-9350)\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 19, 213, 767, 1873, 3723, 6509, 10423, 15657?\n\"Answer: 32*z**3 - 12*z**2 + 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 1302103?\nAnswer: -1302102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 6074 = -5*i + 3*z, 0 = 4*i + z - 4866. Suppose -i = 7*j - 5654. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/912 and -85\/32?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 20, -5*n + 2*f - 5560 = -f. Let i = -728 + 253. Let u = n - i. What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -587472 - -1146283. Let i(w) = 590*w**2 - 4*w - 43. Let r be i(-18). Suppose -h = o + r. What is o rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -6*y**2 + 4*y + 3. Determine g(-5).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/4101099 and -23\/4101099.\nAnswer: 4101099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 145 + -144. Let x be (i\/2 + (-48)\/(-4))*516800. Round x to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+3728.699\nAnswer: 3729.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 4. Suppose c*o - f = 8, o - 1 = f + 1. Suppose 61 = q - 3*m + o*m, -138 = -2*q - 2*m. What are the prime factors of q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of v**7\/5040 - v**6\/120 + v**5\/60 - 3*v**2. Let w(l) be the third derivative of k(l). Determine w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-48))\/((-1290)\/1376).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:35 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2276*y + 325467. Calculate j(-143).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1443\/26)\/37*64. Calculate the highest common divisor of 5 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -223\/51 - -80\/17. Factor 5\/3*f - g*f**2 + 1\/3 - 5\/3*f**3.\nAnswer: -(f - 1)*(f + 1)*(5*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46292772 divided by 208526?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 254247669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 96550 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4092\/(-120))\/31 - (-2 - -1). What is the third smallest value in 5\/4, z, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 16  (b) -299  (c) 0  (d) 1  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((-10 - (-22 + 12))*1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 48539505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/115 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of 0*o**4 - 11\/60*o**5 + 0 + o**3 + 0*o - 20*o**2. Let q(g) = 32*g**2 - 17. Let i(k) = -17*c(k) - 6*q(k). Solve i(s) = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*z - 0*l - 66, z + 4*l - 36 = 0. Let y be (1 + -8 + -2 + 5)\/(-1). Suppose z = 4*j + y*u, -u = 2*u. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15585807?\nAnswer: 3, 5195269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i. Let c(y) = 115*y. Give c(m) - 46*w(m).\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -13*a. Let c = -31 - -33. Let b(w) = 0*w**2 - 3*w**2 + 3*w**2 - 2*w**c. Give n(b(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3212, -6424, -9636, -12848, -16060?\nAnswer: -19272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-0.437.\nAnswer: -0.0874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 2:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1121010 by -258.\nAnswer: -4345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 1)*(-53 + 55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*j - 168611 = -173*j. Calculate the remainder when j is divided by 1627.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/57)*z)\/((z*z**(-5))\/z)*z*z**(2\/47)*z**20 assuming z is positive.\nAnswer: z**(75220\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -5*g**3 - 7*g**2 - 9*g + 5. Let i(b) = -6*b**3 - 7*b**2 - 10*b + 5. Let y(j) = -5*f(j) + 4*i(j). Calculate y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, n: 2}. Give prob of picking 2 a.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120220120 - 20030?\nAnswer: -120300210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l**2*p**3 - 2525*l**2*p**2 - l**2 + 4073*l*p**5 wrt p?\nAnswer: -12*l**2 + 244380*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16988 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292596 is divided by 465.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 284 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y = -15*y - 4*n - 5913, -11817 = -2*y - n. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 3*f**2 + 3*f + 2. Let v be u(-3). Let i(r) = -3*r + 24. Let h be i(v). Let m(c) = -h + 2*c**2 + 45. Let y(s) = 14*s**2. Calculate m(y(p)).\nAnswer: 392*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 28493465 to the power of 1\/2, to the nearest integer?\nAnswer: 5338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4  (b) 0.1  (c) -1\/2  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/19))**(2\/167)*k**31*(k*k**(3\/8)*k)\/k assuming k is positive.\nAnswer: k**(821791\/25384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2252 - -2247. Suppose -17 = -c - i + 2*i, 2*i = -4*c + 44. What is the nearest to 0.2 in -0.3, c, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**4*h**23*h**(-28)*h**(3\/7) assuming h is positive.\nAnswer: h**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -220224530 by -5.\nAnswer: 44044906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5514 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 1347 divide 2626650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2f (base 16) to base 6\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axxxaxxxxxxxxvxxvv. Give prob of sequence vv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6205302 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 59*r**2 + 2078*r - 5741. What is n(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -17*t + 5*t + t + 5*t - 75. Let h be c(-13). Find g, given that -1\/2*g**4 + 0*g**h + 3\/2*g**2 + g + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (40\/(-20))\/((0 - -2)*-350). Let n(x) be the third derivative of 0*x**3 + 1\/40*x**4 - 4*x**2 + g*x**7 + 0 + 0*x - 1\/100*x**5 - 1\/200*x**6. Factor n(s).\nAnswer: 3*s*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - o**2 - 10*o + 14. Suppose 5*i = 5*t + 25, t + 2 - 5 = -i. Let n be q(i). What is the greatest common divisor of n and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 340927758 and -0.3?\nAnswer: 340927758.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/11)\/((a*(a\/(((a*a**(1\/5))\/a*a)\/a))\/a*a)\/a)*(a**(-2\/5)\/a)**(-18\/5))**(-16\/5) assuming a is positive.\nAnswer: a**(-17856\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/5, 0, -0.5, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -71, -125, -169, -197, -203?\n\"Answer: a**3 - a**2 - 58*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -74\/31 + 389\/124. Put 5, -3.5, i in decreasing order.\nAnswer: 5, i, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 5*q**2 + 6*q + 4. Let a be y(6). Is 77*(-2)\/(a\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -23. Solve 2*s - h = 3*a + 4*s, -2*a - 5*s - 16 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 705*t. Let z(h) = h**2 - 3278*h - 1. Calculate g(z(p)).\nAnswer: 705*p**2 - 2310990*p - 705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 106883128.8 to the nearest one million.\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 113 - 111 - (24 + 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 0.07, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t + 3*t - 2*t)*(-3 + 3 - t**2) + 72*t**3 + 80*t**3 - 106*t**3 + 1 in the form x + g*t + h*t**3 + c*t**2 and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -26577070 (base 8) to base 7\nAnswer: -101454526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (114\/15)\/((9\/15)\/(3\/(-2)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*w - 2*w - 147117 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 242 and 34430?\nAnswer: 378730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 1:54 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9466 and -0.3.\nAnswer: 9465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f - 5. Let t be p(-9). Let x be (-12)\/(-6) + (-30)\/(-2). Let o = x - 9. Solve -t*g = -5*d - o, 2*g + 4*d = d - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + sqrt(52)\/sqrt(4) + ((sqrt(13) + -2 + sqrt(13))*-6)**2.\nAnswer: -287*sqrt(13) + 2018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-10)*n)\/n)**(-49) assuming n is positive.\nAnswer: n**441","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1213249 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (1 - 2) - (1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3312*x + 4\/3*x**2 + 2056752.\nAnswer: 4*(x + 1242)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.16, -1\/15, -2\/11, 0, -16, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 242879018 to the power of 1\/2, to the nearest integer?\nAnswer: 15585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -231 - -231.3. Which is the smallest value?  (a) t  (b) 10  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r - 3. Let h be m(-3). Suppose 3*n - h = 2*n. Suppose -7*v + n*v + 32 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 5:09 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 28 = 4*b + 2*d, 0 = 2*b - d - 10. Let z(w) be the third derivative of w**6\/120 - w**5\/10 + w**4\/24 - 2*w**3\/3 + w**2 - 146*w. Calculate z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 2 + 1)*(-2*v - v + v) - 22*v + 514 - 514)*((1 + 0 + 0)*(9*v - 6*v + 16*v) + 4*v - v - v) to the form x*v + g + q*v**2 and give q.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62.6 + -68. Let z = t - 0.4. Let i = -5.7961 - z. What is i rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-4\/7))**(23\/5))**(10\/9) assuming v is positive.\nAnswer: v**(506\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3339658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/(-56) + 6\/(-1248)*-58. What is the second smallest value in 0.079, b, 1\/4, -9?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 3, 2 in decreasing order.\nAnswer: 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19904 + 19904. What is the nearest to u in 91, 4, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + 0*r + 5*r + 5*r as v + i*r and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 1\/4379071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/192 in -1\/2, 16, 0.5, -1\/55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58106421 to the nearest integer?\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 r, and 2 u when four letters picked without replacement from {r: 4, u: 10, g: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39 and 398775.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 11*o - 1. Let i be x(11). Let z be 1\/(i*2\/(-70)). Solve 2*y - a = 4, -5*y - 2*a + z = 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 4 = -9*x + 22. Let v(q) = -8*q + 1. Let k be v(2). What is the units digit of 60\/25*x*k\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(28) + -3 + sqrt(7))**2.\nAnswer: -72 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141197?\nAnswer: 7, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -56*x. Let q(b) = 4*b**2. What is q(h(o))?\nAnswer: 12544*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*j*m**3 - 14*j*m - 28*m**3 - 1 wrt j?\nAnswer: 5*m**3 - 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85335, 85334, 85333?\nAnswer: 85332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-504)\/(-56) + 4 + 4\/(-184)*599?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 - 24. Determine r so that -2\/5*r**3 - 2\/5*r**b + 2\/5*r + 2\/5*r**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207\/552*-24*2\/4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -110.2049 * 0.1.\nAnswer: -11.02049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -27502524500 rounded to the nearest one million?\nAnswer: -27503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5, -507, -0.043, 2, 1?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(297) + ((sqrt(297) - (sqrt(297)*-2 - sqrt(297)))*1 - sqrt(297)) - sqrt(297) - sqrt(297))\/sqrt(11)*-5)\/(sqrt(144)*-4 + sqrt(63)\/(sqrt(7)*4)).\nAnswer: 40*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4*w + 8. Let b be f(9). Let x be b\/(-21) - 2\/(-3). Suppose 2*j - v = -x*j + 104, -31 = -j - v. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/10 and 121\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 78825, 78846, 78881, 78930, 78993, 79070, 79161?\n\"Answer: 7*n**2 + 78818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1057604827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-8) + 10 + 126\/(-12). Let l = 2 - 3. Which is the nearest to l?  (a) p  (b) -7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-18) + 282\/(-54). Suppose 0 = 4*h - 5*h - 8. Let z be (-2)\/s*(-2 + h). Sort 4, z, -1.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/(-6)*(-12)\/9. Let m = 9595 - 9571. Solve -r*j - 5*q + m = -3*j, -2*j + 4 = -q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 5 + 0)*(-4*w + 2*w + w) + (4*w + 4*w + 19*w)*(2 + 1 - 4))*(2*w + 5*w**2 - w - 6*w**2).\nAnswer: 26*w**3 - 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of s**3 + 472796*s**2 + 113917*s?\nAnswer: 6*s + 945592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 9\/5  (b) 8\/15  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3 + sqrt(272) - (1*sqrt(1700) + sqrt(17))).\nAnswer: -7*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2)*138*(-220)\/42. Let m = p - -362. Find f such that -2\/7*f**2 - 2\/7 + m*f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (149 + 20 + 13)*(3*p - p + 3*p**2 + 1 - 2).\nAnswer: 546*p**2 + 364*p - 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/5*(-230)\/(690\/30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 6*r + 5. Let p be n(5). Suppose p*o + 4*o = 8. Let m = o - 9. What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 130 and 48784190?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -687203 - -0.116.\nAnswer: -687202.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 + -30. Let v(g) = 9*g + 50. Let z(j) = 3*j + 17. Let h(a) = 4*v(a) - 11*z(a). Is h(w) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) 2  (b) 1\/4  (c) 1\/19  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b - 1. Let j(w) = 7*w + 5. Let l(y) = -5*a(y) - j(y). Let s(k) = 19*k. Determine s(l(o)).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96919 less than or equal to 93742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -9*l + 5. Is n(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 234\/(-14) + (-10)\/35. Let d = u - -20. Suppose 0*f + 5*f - 72 = 3*k, -d*k = f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200872 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 626.76 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**2 - 2*u**2 + u**2 + (0*u - 4*u + 2*u)*(0 + 0 - 2*u) - 15272*u**2 - 1709*u**2 - 2085*u**2 - 6916*u**2 in the form x*u**2 + g + r*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-28)\/4 + (-76979)\/(-11123). Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (18 + -10 - (-1 + 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 12:41 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w**2 - 5*w + 4. Let z = -18 + 14. What is t(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -294*p + 11 - 24 + 0 + 8.\nAnswer: -294*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*h - 21*h - 7*h + 15200 = 0. What is the greatest common factor of 247 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (76*87\/99180)\/(5\/9)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000059534 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.7127 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 443\/236 + -1\/472. Let z = 9 - 2. Calculate the common denominator of 2 + 0 - 61\/z and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -343.998195 + 344. What is l rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 63484 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 3\/4, 116, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 48*k + 360. Determine s(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -4)\/(((-21)\/(-2))\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 5*t + 6. Let k be y(-5). Suppose 0*l + k = l. What is the highest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1241*k**3 - 10*k**2 - 1253*k**3 + 10*k**2.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -63, -70, -49, 12, 125, 302, 555?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(539)*2 - sqrt(539))*-5 + 4*-6*(-3*sqrt(539) - sqrt(539)))**2.\nAnswer: -6370*sqrt(11) + 4463484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24202*l - 24071*l + 48272*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-435)\/9)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -380*c. Let l(v) = -1239 + 2480 - 3*v - 1241. What is z(l(m))?\nAnswer: 1140*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 491086536*w**2 - 13560968 wrt w.\nAnswer: 982173072*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3051 (base 7) to base 9.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 3*i + 18610*i**3 + 2 - 18611*i**3 - 4536*i**2.\nAnswer: -i**3 - 4536*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -222, 3, -6970, -3 in increasing order.\nAnswer: -6970, -222, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 64\/1990007?\nAnswer: 64\/1990007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 + 53. Let g = l + -15. Which is the third smallest value?  (a) g  (b) -0.05  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 1. What is the remainder when (24 - 4)*((-28)\/4 - -8) is divided by x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 16 - -9 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1093.054 millimeters in kilometers?\nAnswer: 0.001093054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 192  (b) 27  (c) -2\/7  (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51 + 73. Let g = 23.6 - b. Let m = g + -0.6. Which is bigger: -1\/25 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10747 divided by -11\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12268, -12465, -12794, -13255?\n\"Answer: -66*p**2 + p - 12203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 99000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.72 in -5, 0.5, 0.09, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35387914 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18737 and 733028.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 1, -4*x - 2*u + 128 = -6*u. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-16)\/(-12))*(-6 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -3265156.\nAnswer: 3265156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 221 - 257. Suppose 148585 = f*s - 92627. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -629399587 or -629399588?\nAnswer: -629399587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**2 + 348557519*r - 475340866 with respect to r.\nAnswer: -4*r + 348557519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*l**4 + 50*l**3 - 65139*l**2 wrt l?\nAnswer: 192*l + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**19)**(-4\/7)*((w\/(w**48\/w))\/w*w)\/((w\/(w*w**13\/w)*w)\/w*w) assuming w is positive.\nAnswer: w**(-321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (9 + 383 - -4) + 6\/(-2).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -2, -1 in ascending order.\nAnswer: -5, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3)*(1 - 5 + 2)*(18 - 18 + 6*k) + 5*k - k - 3*k + (-9 + 3*k + 9)*(7 + 1 - 1).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 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: Is 19535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 10360 to the nearest one hundred.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78, 95, 120, 159, 218, 303, 420, 575?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*t + 52, -2*t + 40*a = 43*a + 20. Is 1.9 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 2*t**2 - t + 20. What is the remainder when a(0) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56 - -58. Let w(i) = 2 - 5*i + i - 2*i**2 + 3*i**d. Let z(a) = 2*a**2 + 7*a - 6. Let b(c) = c**2 - c. Let n(o) = -4*b(o) + z(o). Give 3*n(u) + 8*w(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -111590*f**2 + 129955 with respect to f.\nAnswer: -223180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 352432129 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 49*n**2 + 84*n + 514. What is the thousands digit of r(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -15. Suppose y + y = -5*q - 70, p*q = -20. Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25 times 136542?\nAnswer: -34135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -81150 rounded to the nearest one thousand?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -l - 18. Let x(t) = 2*t + 13. Let u(v) = 6*c(v) + x(v). Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12554068.\nAnswer: 2, 1097, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.194585 rounded to three decimal places?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*f + 12*f - 18. Calculate the remainder when 71 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of 0*u - 3 + 2\/3*u**3 + 0*u**2. Let s(n) be the second derivative of 3*n**3\/2 - 3*n. What is s(l(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + 2*a + 0*a + (-a - 2*a + a)*(0 + 1 + 2) + (1 + a - 1)*(-1 + 1 + 2).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - g)*(-2*g**2 - 2*g**3 + 2*g**2 + (-2*g - 2*g + 5*g)*(0*g**2 + g**2 - 2*g**2) + 3*g - 8157*g**3 + 12*g + 8182*g**3).\nAnswer: -22*g**4 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from mxxauxz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 343 and 2043692.\nAnswer: 14305844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3101012007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 6*f - 4. Let g be h(-3). Let c = 43 + -52. Let x be (84\/c)\/(4\/(-6)). Solve -x + 34 = g*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.189642233 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4270884 by -6.\nAnswer: -711814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 235 and 710123?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -296*l**3 + 2*l**2 - 2*l**2 - 302*l**3 + 601*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5052518 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h**2 - 3*h**2 + 4*h**2 + (-4*h + h + 5*h)*(-h - 3*h + 5*h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(-2*n + 3*n - 2*n) - 8*n - 26*n - 9*n + (n + 2*n - 4*n)*(1 - 2 + 2) + (0 + 2 + 0)*(0*n + 0*n - 2*n) - 2*n - 5*n + n.\nAnswer: -53*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -6\/4019?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2 + (sqrt(1200) + -1)*3 - (1 + 4*(sqrt(12) + 1)*-6))**2.\nAnswer: 3888*sqrt(3) + 35321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, f: 1, j: 1, u: 13}. What is prob of sequence sfu?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 1 = 3*b - 10, q = 3*b. Let w = -25 - -60. What is the tens digit of 1\/3 - w\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333*m + 348*m = 598*m + 2490 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22002101 + -20220200?\nAnswer: 1011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 0 - 2 - (5 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7693031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v - 2*v = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -391859*s - 391852*s + 783707*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 445 * 0.0006\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**4\/2 - 35*l**3\/2 + 265*l**2\/2 - 405*l\/2 + 90 = 0.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*l - 7 = 0, -3*l = 4*q - 20 + 2. Suppose -28 = -2*h + 5*b, -4*b - 5 = -2*h + 21. Solve 0 = -3*g + h + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3 + 8*h**2.\nAnswer: -2*h**2*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 6*(-1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217 - 137 = -3*q. Let p = 117 - q. Is 208 - p\/(4\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.3?  (a) -47  (b) -1.5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f. Let w(l) = -72*l**3 - 24*l - 147. Let g(j) = 12*h(j) + w(j). Differentiate g(b) with respect to b.\nAnswer: -216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -5*o**2 + 0*o**4 + 0*o**3 + 1\/60*o**5 + 0*o + 0 - 1\/30*o**6. Find the third derivative of z(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.14024 weeks in seconds?\nAnswer: 41211217.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1936 != 30959\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1527 is divided by 1303?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3825, -7654, -11483?\nAnswer: -15312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 100 + -100. Let q = -9 + 4. Let x(s) = s**3 + 3*s**2 + 2*s + 2. Let b be x(-3). Sort o, q, b.\nAnswer: q, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 7:10 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-21))\/(35\/294*2\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q - 3593 = -3*w, w + 2*q = 1211. Let f = -680 + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b622 (base 12) in base 8?\nAnswer: -46672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 10*r - 77. Give o(-13).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-30))\/((-72)\/(-27)) - (-672)\/480?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 3:41 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 54600 divided by 6?\nAnswer: 9100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 17*o**6\/6 - 4*o**5 - o**3\/3 + 3*o**2 + 271*o + 6721. What is the second derivative of i(g) wrt g?\nAnswer: 340*g**3 - 240*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 98*b**2 + 31. Calculate h(98).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) + 42\/5. Suppose 14*k - 6*k = -56. Let a = k + j. Calculate the highest common divisor of 3 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -38*m**3 - 95*m**2 - 7*m - 10. Let f be v(-4). What is the highest common divisor of 2976 and f?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173725 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 533177?\nAnswer: -533180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152 divided by 1.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - c**2 - 34. Let j be u(0). Let x = 106 + j. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 2. Let f(v) = -3*v - 4*v**d - 1 + v**3 - 3*v - 2*v**3. Let z be f(-5). What is z rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/(x**(3\/7)\/x)*x**(1\/2)\/x*x**(-5\/2)\/x**(-19) assuming x is positive.\nAnswer: x**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 2*t - 1. Let i be x(1). Let w be ((-21792)\/1200 - -18)*22\/(-4). Is i less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*t**3 + 3*t**3 - 25*t**3.\nAnswer: -51*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 7:33 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4892 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 201776 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3201*q**2 + 6*q - 5. Let m be (-3)\/9 - 42\/9. Let i(s) = s**2 + 4*s. Let x be i(m). Let a be l(x). Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xeewluqq. Give prob of sequence eeux.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-7)\/(-4 + 11)). Let y(i) = -4003*i**3 - i**2 - 8*i - 7. Is y(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2717 - 2744.74. What is k rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 125860373 from 0.8.\nAnswer: -125860372.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 36\/(-210)*-7 + -2 + 4. Which is smaller: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007052208 to five dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7473 and 2661187?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 w, and 1 y when three letters picked without replacement from {w: 1, y: 1, k: 4, l: 3, j: 1, q: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t - 4. Let q be u(3). Suppose 0*g + 16 = q*p + 3*g, 0 = 4*p + 2*g - 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nzzzninzizz. What is prob of sequence nz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + 49 + 19\/(152\/(-45)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.53 and 107?\nAnswer: 484.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*3*sqrt(38))\/(sqrt(288) - (sqrt(288)*-1 - sqrt(288))).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120)\/21 + 26 - (-4)\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 169.7 times 2\nAnswer: 339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62 - 68 - 7*a - 4)*(0 + a**3 + 0).\nAnswer: -7*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 844569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.787?  (a) -3\/2  (b) 1  (c) 3  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/((-5814)\/3876)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/34)\/(-1 - -3). Which is the nearest to -3?  (a) z  (b) 0.3  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*m + 50*m + 2331 = -41*m + 201*m for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 475331001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 + 3*p + 2. Let g be k(-2). Suppose 4*a + 2*u = 14, 12 = 2*a - 0*u - 4*u. Solve -a*l - l = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 16. Calculate the greatest common factor of 10 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -15b7cca?\nAnswer: -15b7cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rxrx when four letters picked without replacement from {a: 2, k: 1, r: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2925102984 to the nearest integer?\nAnswer: 54084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**3*q**3*y - 32444*h**3*q**2*y + 2*h**2*q**3*y + h**2*q**2*y - 7*q**3 - q**2*y + 11*q*y wrt h?\nAnswer: -6*q**3*y - 194664*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**7\/42 - 3*w**3 - 7*w**2. Differentiate v(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*q = 247*q - 162 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -15301.\nAnswer: -61204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/196 and 51\/79.\nAnswer: 15484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -4. Suppose -4*d + s*d + 16 = 0. Solve -u + 5 + 2 = -d*b, -26 = 4*u + 2*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237*c = -250*c + 816006 + 41240. List the prime factors of c.\nAnswer: 2, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 4*z - 4. Let x be u(6). Calculate the remainder when 28 is divided by (x\/(-6))\/((-6)\/45).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4387 - 1044. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*f**2 + 416*f - 10816 = 0. What is f?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -1\/4, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -668662 or -668659?\nAnswer: -668662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2380016*v**3*z**2 + 70*v*z**2 + 7*v + 3*z**2 - 2*z + 8 wrt v?\nAnswer: 14280096*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**2 + 20 - 17 - 3 - j - 23*j**3 as q*j**3 + l + k*j + m*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -363 (base 7) to base 5\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajt when three letters picked without replacement from {o: 3, t: 2, k: 2, a: 1, j: 3, y: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15517, 31033, 46547, 62059, 77569, 93077?\nAnswer: 108583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 99, 2, 5, -5, -5442 in decreasing order.\nAnswer: 99, 5, 2, -5, -5442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(2\/3)*x))\/(x\/x**(-1\/14)))\/(x\/((x\/(x*x**(-2\/13)))\/x*x)*x*x*x*x**(-3\/4)) assuming x is positive.\nAnswer: x**(-4915\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31*(2 + 27\/(-14)) and -151\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*v + 38 = -0*v, -5*v = 5*u - 90. Calculate the lowest common multiple of 20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 552839593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-17))**(-50))**(-31) assuming j is positive.\nAnswer: j**27900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 76407 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -114 * 3.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*(sqrt(2)*3)**2 + sqrt(2))*3.\nAnswer: 6*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03776 plus -3?\nAnswer: -3.03776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 220 times 0.588\nAnswer: 129.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**5\/3 + 62*r**4 - 716*r**3\/3 + 116*r**2 + 718*r\/3 - 178 = 0.\nAnswer: -1, 1, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021557308 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 51720 and 51719 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -490?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 432 and 33.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*p - 605*p - 810*p.\nAnswer: -1592*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*t + 176 = t, w - t = 56. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-7) + (-3366)\/(-126))\/1. Let z be (q\/(-48))\/((-15)\/20). Factor 135\/2*j**3 + 729\/4 + 405\/2*j**2 + 45\/4*j**4 + z*j**5 + 1215\/4*j.\nAnswer: 3*(j + 3)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.446823 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 12*t**2 + 122*t + 32. Let v be d(-10). Suppose 5*b + 0*b = 20. Solve -v = 5*c - 3*q + 8, -c = q + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73370 divided by -46.\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*((sqrt(125) - (3 + sqrt(125))) + sqrt(125))*6 - (sqrt(125)*3 + -4 + 3)) + 4)**2.\nAnswer: -22950*sqrt(5) + 98350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/24)\/(2\/6)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 74194 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 47*f**2 - 150*f + 2. Let y be h(-50). Let l(g) = -5*g**3 - g**2 + g. Let q(w) = -w**3 - w**2 + w. Calculate y*l(d) - 2*q(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 3087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -1.6. Sort 7, f, 1\/2 in descending order.\nAnswer: 7, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 264518 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, z: 2, a: 1, k: 1, w: 2}. Give prob of sequence wn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -579428990397?\nAnswer: 579428990396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13\/68 - -1\/17. Let p = -176.53 + 1.53. Let q = p - -174.9. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 4*o - 3*f - 14, 3*o - 28 = -5*f. Solve 3*j = -c - o, 0 = -2*c - 0*c - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-288)\/80)\/(2\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7500 and 1680?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 6*s + 7 = 11*s, -2*s + 16 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -c + 2. Let z = 2 - c. Suppose 5*l - 21 = -q + 3*q, l = z. Solve q*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5433.5 - 5433.3. Suppose 5*o + 2*r = 1, 0 = -4*r + 3 - 11. Which is the smallest value?  (a) f  (b) 5\/2  (c) -4\/5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29645.5 + -29646. Which is the smallest value?  (a) -3.1  (b) -0.8  (c) g  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 0.3  (b) 9  (c) -20\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 5*i + 3*i + 110 - 108. Let t be z(6). Suppose -4*m - 232 = 4*d, 2*d = -m - t - 11. Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 12:46 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.9 + 1.5.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v - 94. Let o be v\/(-7) + (-14)\/(-49). Let w(p) be the first derivative of -p**2\/2 + 1. Let i(g) = -3*g. Give o*w(t) - 2*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**4\/19 + 44*x**3\/19 - 78*x**2\/19 - 44*x\/19 + 80\/19 = 0.\nAnswer: -1, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-26)\/42 - 8\/(-28). Let w = -15.2 - -15. Sort -2, k, w in increasing order.\nAnswer: -2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(8*-1)*10. Let r(w) = -w + 6. Let a be r(-6). Suppose a = 5*g + 2. Solve -l*i = j + g*j - 30, 2*i + j = 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29 - 2*r**2 - 29 - 18*r**3)*(0*r - 2*r + 4*r) to the form p*r + w*r**4 + u*r**2 + i + s*r**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (19 + 5 + -13 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 5*w - 4. Let u be b(6). Find the third derivative of 6*r**5 - u*r**5 - r**5 - r**2 - 6*r**5 wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-153)\/(-136)*4*260\/(-30)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 64042 divided by -142\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 1\/6*u**3 + 1\/2*u**2 - u - 1. Let c(q) be the first derivative of v(q). Find the first derivative of c(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 6 = -2*z - 13, -d - 20 = -5*z. Let q be ((-43)\/(-4))\/(d\/(-40)). Let m = -29 + q. Calculate the remainder when m is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.349213 to three decimal places.\nAnswer: 2.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*c = -3*s - 79, -s + c + 5222 = 5223 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 4*h**3 - 4*h**2. Let i(w) = -1164 + 7*w**3 - 6*w**2 + 1165 + 0*w + 0*w - w**2. Calculate -5*d(n) + 3*i(n).\nAnswer: n**3 - n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-3))\/1 - 153\/17. Let m be 3\/(-4)*(n - -4). Put -2, -14, 5, m in decreasing order.\nAnswer: 5, m, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**4 - 90*g**3 - 80*g**2 + 90*g + 85.\nAnswer: -5*(g - 1)*(g + 1)**2*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*x - 285*x - 272 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wldl when four letters picked without replacement from {w: 6, l: 10, d: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2677161 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + (sqrt(1377) + 1 + sqrt(1377))**2).\nAnswer: 144*sqrt(17) + 22024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 570, 1159, 1746, 2331, 2914, 3495?\n\"Answer: -g**2 + 592*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-4)\/10)\/(2\/(-230)) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/4)\/(8\/16). Let l(b) = 4*b**2 + b + 12. What is the tens digit of l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11051 + -11035. Solve 3*i - 13*j + 7 = -9*j, 2*i = -3*j - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2306421 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k. Let l(f) = -6*f**2 + 3*f**2 + 5*f**2 - f**2. Give g(l(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25852 - -26086.9. Round k to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 5*f + 25. Suppose 20*o + 80 = f*o. What is the lowest common multiple of 10 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 1)*(-b + 0 + 0)*(0 + 1 + 3)*(2 + 1 + 0) to the form g + s*b and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-8)\/6) + 1\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + -24. Suppose 2*t - o = -3*t. Suppose t*d = -3*d + 75. Solve -4*k + d = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tmmmtmsmmttyemstm. What is prob of sequence mmmm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 60*k**5 + 2635*k**4 - 2965*k**3 - 1765*k**2 + 1585*k + 450 = 0.\nAnswer: -45, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -4*o - 24, 27 = 4*m - 7*o + 2*o. Suppose 41 - 5 = m*h. Let x(a) = -a**2 + 13*a - 8. Let y be x(h). Solve 0*g = -y*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xhnoxhzxnxhznxwxonnx. Give prob of sequence oh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 276*i*q**5 + 6*i*q**2 + 3*i*q - 4*i wrt q.\nAnswer: 16560*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = d + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a + 2. Let h = 186 - 189. Let w = -6 + 11. Let z(g) = 2*g + 1. Determine h*k(r) + w*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0 + (-3 + 0 + 5)*(0 - 2 + 4)*(-3 - 1 - 8))*(4*f**3 - 2*f**3 + 0*f**3).\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - 37 + 35 - 6*y)*(-13*y**4 + 3*y**4 - 4*y**4).\nAnswer: 126*y**5 + 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 2*x - x)*(2 - 6 + 1) + (4*x + 2*x - 7*x)*(-2 + 2 + 4).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 202\/25755*(-2)\/(2\/3)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -12 + 0 + 2*q + q**2 + 3 + 8*q. Let f be n(-11). Suppose -w + 3*w + 92 = 4*t, -f*t + 34 = 2*w. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/12 + (-10)\/(-4). Solve 2*y + d*y = 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -5*n + 3. Let x(s) = -26*s + 16. Let g(i) be the first derivative of i**2\/2 + 16*i + 1. Let b = -3 - -3. Let k be g(b). Give k*y(v) - 3*x(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/2)\/(1\/(3 + -1)). Sort i, -3, -4, -5 in descending order.\nAnswer: i, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*w**3 + 1925*w**2 + 27070*w + 25175.\nAnswer: 5*(w + 1)*(w + 19)*(6*w + 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fn when two letters picked without replacement from svnfvsffnvvvfvffsnf?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12524, -25049, -37598, -50171, -62768?\n\"Answer: -12*j**2 - 12489*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 5:09 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/12 and -7*(-1 - (-29)\/16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -192*p**3*t**2*w**2 - 2*p**2*t*w**2 - 2*p**2 - t**2*w**2 + 7*t**2 wrt p.\nAnswer: -1152*t**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -391\/15 + 77\/3. What is the third smallest value in n, -2\/15, -7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000002068307221 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*q**2 - 20*q**2 + 2*q**2 to the form t + l*q + r*q**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 106936 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -342*h - 716. What is i(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102519.\nAnswer: 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -6*w + w. Let c(k) = -28*k - 4. What is the tens digit of c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*s + 9*s = 0. Suppose 40*n + 669 - 4509 = s. Suppose 2*f + 36 = 5*f. What is the highest common factor of n and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 2*l - 16. Let c be a(-5). Let b be 2\/5*(-10)\/(-8)*4. Suppose 3*z = 2*z + 5. Sort -2, z, c, b.\nAnswer: -2, c, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(7) + sqrt(252) + sqrt(7) + sqrt(7)) + 1*sqrt(448))**2.\nAnswer: 26908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/2070 and -13\/2922.\nAnswer: 1008090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 8\/192*33*-8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*w = 227*w + 85 + 2615 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**2 + y. Let a be n(-5). Let f = -95 - a. What is the tens digit of f\/(-3) + 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -75*w + 59*w + 596912. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 280.55079 months?\nAnswer: 23.3792325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 899, 1821, 2769, 3755, 4791?\nAnswer: 5889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1*9\/(-108)*(-115)\/1 and -19\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1193322 = 6*p, 3*p - 8 = -14. Round s to the nearest 1000.\nAnswer: 398000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 16 + 2 - 2*m.\nAnswer: -2*m + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7a88d9 + 3?\nAnswer: 7a88dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*a - a + 64 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/5517 - 71689\/88272. What is the common denominator of f and -29\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 5*m**3 - 5*m**2. Let f be c(2). What is the greatest common divisor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**11)\/(m\/(m*m**(3\/22))) assuming m is positive.\nAnswer: m**(267\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20851 + -13543. List the prime factors of q.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - a. Let q(w) = w**3 - 23*w**2. Let x(b) = -5*q(b) + 30*y(b). Find h such that x(h) = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -6. Let u be ((-5)\/((-30)\/36))\/((-6)\/(-20)). Let b be 4\/u + 12\/90. Sort b, z, -1 in ascending order.\nAnswer: -1, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*h + 31 = -27 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.166 and 2.914779.\nAnswer: 4.080779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 122557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 - -820?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k - k**2 - 891*k**3 + 891*k**3 - 1 - 6*k**4 to o*k**3 + s + c*k**2 + t*k + y*k**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16 + 16 + 6)*(0 - 4 + 3)*((2 - 1 + 1)*(0 + 0 - 2*i) + 4*i - 5*i + 2*i) + (-13 + 46 + 16)*(2*i - 2*i + i) in the form a*i + x and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 4 = 4*s - 4*h, 4*h = -5*s - 84. Let p = -11 - s. Calculate the remainder when p is divided by (36\/(-27))\/(1\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(363)*1 - sqrt(363)) + -3 + sqrt(363)*-2 + -1.\nAnswer: -22*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -9*k. Let r(u) = -19*u - 48. Let m be r(-4). Let n(i) = m*i**2 - 19*i + 15*i + 4*i. Give n(c(w)).\nAnswer: 2268*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36 + 14421?\nAnswer: 14460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 3*v**2 - 26*v - 73. What is the remainder when 32 is divided by z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 567 - 312. What is the remainder when k is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d. Let l(y) = 30*y**2 + 98*y - 5648. Let n(z) = 17*z**2 + 56*z - 2823. Let a(o) = -4*l(o) + 7*n(o). What is h(a(c))?\nAnswer: -3*c**2 + 8493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-200)\/(-75))\/((-2)\/(-114) + 0). Let w = q - 148. Calculate the remainder when 2\/(-6) + 67\/3 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -166413821*j**6 + 6*j**2 + 15108072.\nAnswer: -19969658520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 5. Let m(r) = -r**2 + r - 10. Let o(l) = -2*m(l) - 5*q(l). List the prime factors of o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {x: 4, n: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -211 + 425 + 27*m**3 - 212 + 64*m**3 to the form k*m**3 + c*m + q + i*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121 - 169*z - 254 + 120.\nAnswer: -169*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 293 + -282. Let d = 2 + 18. Calculate the lowest common multiple of i and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 938046 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 13*u**2 - 15*u + 6. Calculate o(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 1, -0.5, -3, 6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/64 and (1\/590)\/(150\/(-1875)).\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 3*f + 1, -82*i + 85*i - 17 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -144.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 20 = -7*s, 2*q - 14 = 2*s. Suppose -q*m + 8 = -7*m. Solve m*y + 7 + 3 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/8 + 54\/8. What is the highest common divisor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3499072 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t**2 + 17*t - 10. Let o be f(3). Suppose 4*q = 2*g - 2, 0 = -o*g + g + 3*q - 6. Let x(l) = -5*l. Give x(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 3. Suppose -a*o - 21399996 = 4*l, 5*l - 32100005 = 2*o + o. What is o rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -8. Let m(u) = 4*u + 7*u**2 + 2*u - j + 11 - 3*u**2. Let s(r) = 3*r**2 + 5*r + 4. Determine -4*m(q) + 5*s(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 divided by -949331?\nAnswer: 35\/949331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.72 - -2.42. Let c = k + 10. Is 1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (78\/(-8))\/(1\/8). Let d = -393\/5 - g. Let r = 5 - 0. Sort -5, r, d in increasing order.\nAnswer: -5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**3 + 286704*t**2 + 94200288*t + 7728834560 = 0.\nAnswer: -164, 143680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 275, -5, 3172?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v + 28 = -17*v, 2*k + 4*v = 1038. What is the greatest common factor of 372 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6133, 8196, 11639, 16462?\n\"Answer: 690*w**2 - 7*w + 5450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, t: 1, f: 2}. Give prob of picking 1 t and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + 0 + -74 + (28 - -26).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 10. Let o(d) = 297*d - 1. Let a be o(1). Suppose n = -6*k + 2*k + a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 170\/15 - (2 + 3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-57)\/(-38)*(-3)\/(9\/14). Let c = 3 - u. Suppose 0 = 3*b - y - 6, -5*b + c = -0*y - 2*y. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 64*k + 3. Let z(f) = 193*f + 10. What is 7*s(b) - 2*z(b)?\nAnswer: 62*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.019 + 5.019. Let b be ((-9)\/(-3))\/(-3) + -1. Let h be -6 - ((-2)\/1 - b). Put q, -3, h in increasing order.\nAnswer: h, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 35*b + 1121. Let h be w(-32). Let j be 14\/2 - 8\/8. Suppose 9 + 3 = 4*a. Solve -h = t - f, -a*f = -0*f - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p + 40 = -28. What is the biggest value in p, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 3\/7, -226.\nAnswer: -226, 2\/9, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 327\/(2 + 1) + 4\/2.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2246*l + 1095*l = 740*l - 83232 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22*a**3 - 109 wrt a?\nAnswer: -66*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 + 88 + (6 + 2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-645)\/((-75)\/(-15) + -3 + -3) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3 - 52*a**2 + 2*a + 25*a**2 + 28*a**2.\nAnswer: -a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1099893 - 1.\nAnswer: -0.8900107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(13\/2))**(26\/5)*(x*x*x*x**(-9\/5)\/x)\/x*x*x**(-6\/7) assuming x is positive.\nAnswer: x**(-1024\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 557598116 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -823*j**5\/20 - 3803*j**4\/12 + 2*j - 639. What is the third derivative of z(g) wrt g?\nAnswer: -4938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 3:53 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 1:06 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 111994 or 111996?\nAnswer: 111996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 22 = -2. Let z(k) = -2 + k**3 + 4*k**2 - 4*k**2 + 5*k - 6*k**2. Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 5*x - 7\/180*x**6 + 0*x**2 - 3 + 7\/72*x**4 + 1\/18*x**3 - 1\/60*x**5. Solve k(b) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 336.0177426\nAnswer: 309.0177426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-6))\/(-8 - 755\/(-90))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4*u + 5. Let w be s(-4). Suppose -p = -4*z - 6 + w, 5*z - 2*p = 18. Suppose o - z = 2. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) -2  (c) 0.1  (d) -5  (e) -2\/15  (f) 162\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o*o**(-2\/25))\/o)\/o*o))\/((o*o**(-1\/10))\/o) assuming o is positive.\nAnswer: o**(59\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y - 5*y - 1225 = 0. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 83 - 83.1. Which is the biggest value?  (a) -0.3  (b) 4  (c) 1  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.26, -63, 132, -5, 0, 5 in descending order.\nAnswer: 132, 5, 0, -0.26, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 7) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03527 rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 divided by 1240?\nAnswer: -13\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 34877 to the nearest 100.\nAnswer: 34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -63, -106, -187, -312, -487, -718, -1011?\n\"Answer: -q**3 - 13*q**2 + 3*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/8)\/((-29)\/(-4))*(-1136)\/1420.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of 11*s - 3\/5*s**5 + 2\/5*s**6 - 1\/2*s**4 - 1\/14*s**7 - 3*s**2 + 5\/2*s**3 + 0. Factor m(j).\nAnswer: -3*(j - 2)*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 675, -0.5, -1\/35, -1.956 in descending order.\nAnswer: 675, -1\/35, -0.5, -1.956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 22 = -4*q, 5 = -j - 3*j + 5*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 12 = 8*c - 6*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/2347993?\nAnswer: -3\/2347993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-18))\/(((-14)\/(-12))\/(-7)). Suppose 4*c - 16 = -0*c. Let q be (-2)\/4*(-3 + -1 + c). Solve -2*p - 5*g - 25 = q, 13 = -2*p + t*g - 5*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3269*n**2*x**2 + 2*n**2 - 6*n*x**2 + 21*n - 314 wrt x.\nAnswer: 6538*n**2*x - 12*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -84218\nAnswer: 1\/42109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1352 by 2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -1 + 1\/12*s**4 + 0*s + 1\/3*s**3 - 1\/2*s**2. Let m(t) be the second derivative of k(t). Differentiate m(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9640067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-5.94.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2256 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.6 and 1636.\nAnswer: -2617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x - 222*x**3 + 0*x + 27*x**3.\nAnswer: -195*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 21632\/(-1664) - 1\/(1\/(-13)). Solve f = -2*l - 2*s, -2*s - 3*s = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s - 2*s - 2*s**2 + 3*s**2 + s**2 + s**2 + (15*s**2 - 20*s + 20*s)*(-3 - 2 + 3).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w. Let g(r) = -829*r**2 + 28 + 3*r**2 - 28. What is g(j(i))?\nAnswer: -826*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 5*z + 10 = 0, 66*z = -109*o + 107*o + 68*z - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z + 26. Let c be i(18). Which is smaller: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2687.8 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -43277, -43289, -43307, -43331, -43361, -43397?\n\"Answer: -3*o**2 - 3*o - 43271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 10:36 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -3\/5  (b) -68  (c) 0  (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does -329\/261 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11.45 + -11.449999555. What is s rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5525.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 + -0.45. Let i = 0.3 - 0.4. Let h = 0.1 - i. Which is the third biggest value?  (a) 2  (b) p  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*o - 21. Let m = o + 21. Solve m = q - 5 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*v + 2*q - 1, 5*q = -5*v + 25. Suppose 5*j - 4*r + 10 = 6*j, -v*j + 2*r = 10. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = y - p, -88 = 4*y + 5*p - 7. Let f(r) = r**3 + 19*r**2 - 2*r - 23. Calculate the lowest common multiple of 35 and f(y).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79.9952 kilograms to milligrams.\nAnswer: 79995200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143175074.\nAnswer: 2, 7, 10226791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 4. Suppose -5*j + 2*p + y + 5 = 0, 4*p = -4*j + 24. Suppose 0*n = -n + j*n. Solve 4*w = -n*c + c - 25, 3*w = -5*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 3. Let a be h(3). Let x be (-8)\/a + (-32)\/(-48). What are the prime factors of (6*105\/(-24))\/(x\/(-8))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - 52534.6753.\nAnswer: -52534.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(3\/66) - (-445 - -443). Solve 56 = 4*p + r for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/sqrt(6) + 4 - (-3 + -1*sqrt(17) + sqrt(17)).\nAnswer: sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 945 - 1035.96. Let r = n + 89. What is r rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-48))\/(((-45)\/(-12))\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v = -10. Suppose v*h - 12 = 4*h. What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 5:22 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 576634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13300568 plus -7?\nAnswer: 13300561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -6.2  (c) -0.4  (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 54 - 30. Let u(o) = -31*o + o**3 + 5 - z*o + 4*o**2 + 55*o + 2*o**2. Give u(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 411, 1625, 3717, 6747, 10775, 15861, 22065?\nAnswer: 29447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*k**3 + 35*k**2 + 4055*k - 16011800?\nAnswer: -15*k**2 + 70*k + 4055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12835, -11772, -10713, -9658, -8607, -7560, -6517?\n\"Answer: -2*f**2 + 1069*f - 13902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 3*n - 36 = 2*r, 126 = 11*r - 5*n. Solve -5*g + 6*d = r*d + 45, 3*d = -15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from {j: 7, i: 5, s: 3, k: 3, h: 2}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.7 times 0.167?\nAnswer: 1.1189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -5*p - 0*m + 127, 96 = 4*p + 4*m. Let i = 35 - p. Calculate the remainder when 29 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -57, 1, -39 in ascending order.\nAnswer: -57, -39, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -2*y + 19, 0 = 3*f - 4*f + 5*y - 22. Let d be f - -7 - (-1 - -3). Calculate the common denominator of (-172)\/d*(1 + -2) and -59\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 9:04 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 2*c - 95520, -30*c = -25*c. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.1270717 to 1 dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -5  (c) -941  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.7835 - 1.912. What is p rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1469586 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000009859 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -256196 take away 0.5?\nAnswer: -256196.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -24*q**2 + 57*q**2 - 29*q**2. Let i(s) = -s**2. Give i(j(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6.947 times -609\nAnswer: -4230.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 107870 and 92.\nAnswer: 215740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(5\/(-6)*((-744)\/(-80))\/31).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9288429um in meters?\nAnswer: 0.0000009288429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8*f = 3*f - 37, -f - 13 = -2*x. Let v(o) = 4*o**2 - 10*o - 12. Calculate v(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 124 = 136. Let q be 1 + y + 42\/(-15). Which is the closest to 1\/2?  (a) 10  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 550.06 + -550. Sort 24, f, 1, -3 in decreasing order.\nAnswer: 24, 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 1:12 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -198*z - 15. Let t(j) = -14457*j - 1098. Let p(q) = 366*h(q) - 5*t(q). Let g(i) be the second derivative of i**3\/3 - 9*i + 1. What is p(g(l))?\nAnswer: -366*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 0*h**2 + 2*h**2 + h**2. Suppose 8 = 3*o + 2. Let a(y) = -o*y - 5 + 5. Determine q(a(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 10*x**2 - 16*x + 3. Let n be l(-8). Suppose g = -3*r + n, 5*r + 6 = g - 5. Calculate the least common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -3*h**3 + 186*h**2 - 1131*h - 1320 = 0.\nAnswer: -1, 8, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-20) - (-54)\/15. Suppose b - 5 = -g*b. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1\/x)**35*x*x**(3\/8)*(x*x**(-2\/23)\/x)\/x)\/((x**(-7)\/(x**0*x))\/((x*x**6)\/x*x**2)) assuming x is positive.\nAnswer: x**(2997\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30.411 and 0.268.\nAnswer: -8.150148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from {d: 7, g: 1, q: 5, n: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, h: 5}. What is prob of picking 1 h and 2 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**5\/30 + 187*v**2. Let n(k) = 2 - 2 - 2*k. Determine l(n(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2913746459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from oyorfcr?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 104, 522, 1236, 2246, 3552, 5154?\n\"Answer: 148*i**2 - 26*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 8*p = 8. Is 12 a factor of 6276\/(-40)*p - (-5)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 18419715?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -90*r - 81. Let w be s(-1). Suppose -9 = -16*z + 13*z, -3*p - w = 2*z. Let d be (-1)\/2 - 22\/(-4). Sort -15, p, d, -3 in decreasing order.\nAnswer: d, -3, p, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-43 - -38) + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 + 30*v - 23. Suppose 4660*y = 4649*y - 176. Give p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(z\/z**(2\/3)))**(-5\/4))**(-8\/13))**(1\/3) assuming z is positive.\nAnswer: z**(50\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 764800 divided by -764800\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 160*m**4 - 63*m**4 - 215*m**4 + (m**3 + m**3 - 4*m**3)*(-12 + 14 - 2*m + 0*m).\nAnswer: -114*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) -4  (c) 4.9  (d) 0.3  (e) 433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 - f**2 - f. Let k be l(-1). Let a be (-5)\/2 - 1\/2. Let w be (a\/(-4))\/(1\/4). Solve 2*r = -w*i - 0*r - 8, -i - 10 = -k*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 129061909.479 and 2.9.\nAnswer: 129061912.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4\/3 - 5962*h**3\/3 - 7123610*h**2\/3 - 1824512846*h\/3.\nAnswer: 2*h*(h - 3943)*(h + 481)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 28*x - 5. Let q(t) = 57*t - 11. What is -13*b(d) + 6*q(d)?\nAnswer: -22*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482 is divided by 142.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 224 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 3:11 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5\/13 + 2*b**4 - 32*b**3\/13 - 56*b**2\/13 = 0. What is b?\nAnswer: -14, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i - 3. Let a be y(6). Let n(m) be the first derivative of -3*m**a + 4*m**3 + 4*m**4 - 5*m**4 - 2. What is the third derivative of n(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 3*s + 265 = 0, 2*s + 10 = 8. Solve 78*y + b = -11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -21\/2*c**2 + 29\/6*c**3 + 0 + 36*c. What is the derivative of b(k) wrt k?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-3))\/(2\/(-54)). Let w be 12\/y*6\/4. Let o = -11738 - -11737.9. Which is the second smallest value?  (a) o  (b) 0.04  (c) 0  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/6 - (120\/(-15) - -16). Sort o, 5, 32.\nAnswer: o, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21.15 + -263.\nAnswer: -284.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 325 is divided by 74?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4665373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1109*c + 18965*c + 14192*c + c**2.\nAnswer: c**2 + 32048*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 804.3 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -1\/2*x**3 + 0*x**2 - 1\/2*x**4 + 3*x + 0. Find the second derivative of q(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 8*r + 5. What is the tens digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/5149 + 10308\/25745. Suppose -l + 12 = 2*l. Suppose l*d = 2*d + 4. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1672 - 0?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sfh when three letters picked without replacement from kkbbfhfskfsfskkkkfk.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 927*i + 6447. What is y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - 73*a - 828. Calculate r(-54).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5700, -5704, -5708, -5712?\nAnswer: -5716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, l: 3, z: 6, i: 4}. Give prob of sequence ii.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -812, 4 in descending order.\nAnswer: 4, -8, -812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 48 - -749. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 8*t + 16. Let n be f(4). Let i(u) = 2*u**3 - 2*u**2 + 4*u - 2. Let k be i(2). Let w be (-4)\/k + 6\/21. Is w >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eek when three letters picked without replacement from kerrrkeeeeer?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1170993 by -6.\nAnswer: -390331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 4 + sqrt(11) + -1 + sqrt(11) + (sqrt(110)*1 + sqrt(110))\/sqrt(10).\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1949*-14213\nAnswer: 27701137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 - -20. Solve -2*x - 14 = 5*y, x + 0*y - y = w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 206 + -344. Is 5 - g - 0\/(-2 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -18*m**2. Let s(l) be the third derivative of l**4\/12 + 87*l**2. Determine q(s(o)).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 + 13703616*a - 23473636434432.\nAnswer: -2*(a - 3425904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 5*k + 8. What is the smallest common multiple of 8 and 8 + (-3 - (k + 2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 141 and 46025220?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2385 + -92990\/39. Let b be 178\/182 + (-2)\/7. Let j = k + b. What is the biggest value in -3, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2097 + -10489\/5. Let t = -0.6 - -4.6. Which is the biggest value?  (a) -0.5  (b) q  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55.3 - 53. Let a = -2.2509 - -0.0079. Let c = a + d. What is c rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 2:22 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22.4347 and 120084727.\nAnswer: 120084749.4347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 + 4*q - 16.\nAnswer: 2*(q - 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c5 (base 13) to base 15.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3 + (-1 + 1 + 1)*(0 - 1 + 0) + 2 + 4 - 5)*(3*h - 3*h - 2*h)*(-2 - 2 + 6)*(-2*h + 4*h - 4*h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 2*r + 1. Suppose g - 2 = -1. Let i be s(g). Suppose -l + i*l + 2*q = -8, 4*l = q + 53. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 2571528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97, -324, -525, -688, -801?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10774336 divided by -4.\nAnswer: -2693584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 5*w = -l + 4, -5*w - 88 = 3*l. Let f(k) = -13*k**2 - 4*k + 4. Let p(q) = 66*q**2 + 21*q - 21. Give l*f(c) - 4*p(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64102 is divided by 2125.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/993461 and -4\/993461?\nAnswer: 993461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 6490?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 112222022 (base 3) in base 13?\nAnswer: 4c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - q + 0*q)*(4*q - 7 + 7) + (2*q - q - 3*q)*(-6*q + 17*q + 26*q) - q**2 - 2*q**2 + 2*q**2.\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19957 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64959809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.963 - -8.963. Sort m, -9, -3\/7 in increasing order.\nAnswer: -9, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q - 9*q**3 - q - 2*q**2 + 4*q**3 in the form f*q**2 + i*q**3 + o*q + l and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -20. Let z = o - -21. Let v = 17 - z. Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4734706 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**3\/8 + 15*f**2\/8 + 27*f\/8 + 13\/8 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3720 - 3664. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93423*0.1.\nAnswer: -9342.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 4*u**2 - 6*u - 6. Let y = -10 - -5. Let d be g(y). Let m = 168 - 164. Which is the nearest to d?  (a) m  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n**2 + 93*n - 52. Calculate l(-29).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**9\/20160 - g**7\/2520 - g**6\/720 + 3*g**5\/5 + g**2 - 35. Let s(f) be the third derivative of v(f). What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-12)*g**1)\/(g**(-3\/7))**36)**(2\/75) assuming g is positive.\nAnswer: g**(62\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1652\/(-42)*(2376\/4224)\/((-6)\/16)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 12:03 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 29*t**2 + 10*t + 10. What is the hundreds digit of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -14 + 18 + (-6)\/6. What is the second biggest value in 2\/5, n, -33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285432388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000197643 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/36 and -76\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2229*w - 17827. Let n be l(8). Suppose 0*k**3 - 8\/5*k**4 + 4\/5*k + 8\/5*k**2 + 0 - 4\/5*k**n = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -0*h - 176. Suppose 2*i + 2*u = h, 5*i + u - 89 = 3*u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2140 (base 6) in base 8?\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1870\/1581)\/(-10)*(48\/66)\/(-4)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 114 and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 168 + -1178\/7. Is n less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1280835487 to the power of 1\/2, to the nearest integer?\nAnswer: 35789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 12:48 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3844901257.\nAnswer: 227, 16937891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 28*w**2 - 124*w - 3417. Give p(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*o**3 + 8*o**3 + 10*o**3.\nAnswer: 49*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1197 is divided by 130.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 2. Let v be u(0). Find the third derivative of -132*q**5 - 117*q + 119*q - 5 - 202*q**v + 5 - 32*q**5 wrt q.\nAnswer: -9840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 121, 125, 139, 169, 221, 301?\n\"Answer: y**3 - y**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32760866 divided by 37186.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -57*j**2 - 103*j**4 + 108*j**4 + 5*j**2 - 22*j**3 - 3 + 22*j**3 to the form t*j**3 + z + c*j**2 + v*j**4 + l*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-14) + 144\/(-56) - -3.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hirirrihhhhrh.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12 + -4 - (5 - 0). Let i = 71 - 69. Suppose -2*g + 4 = 2*g. Put a, g, i in descending order.\nAnswer: a, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -412, 3, 2 in decreasing order.\nAnswer: 5, 4, 3, 2, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -1, -4 in increasing order.\nAnswer: -4, -1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -o**5\/60 - o**4\/24 + o**3\/6 - 15*o**2\/2 + 18. Let w(m) be the second derivative of s(m). What is w(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxccccxccxxccc. Give prob of sequence clx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19354771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3339834mm in centimeters?\nAnswer: 0.03339834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10744358579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 13*s. Let x(k) = -1293*k**2. What is z(x(b))?\nAnswer: -16809*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 284954483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -42.45?\nAnswer: -40.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*v**2 + 126*v**2 - 3 - 63*v**2 + 3.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16\/419 + 3240\/2933. Let v(u) be the first derivative of 4\/21*u**3 + u**2 + h*u - 1\/14*u**4 + 15. Suppose v(o) = 0. What is o?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2 - 6) + (-107 - -112) - 36\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/(-4))\/11*1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -3*n**3 + n**2 + 1 - 4 - 9 + 3. Let j(i) = i - 4. Let h be j(6). Let z(x) = -x**3 - 4. Calculate h*a(y) - 5*z(y).\nAnswer: -y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65705.\nAnswer: 5, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 3) + (25 - 14) + 14 + 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 6*b - 9. Let z be u(-7). Let h be (-27)\/(-6) - (-1)\/z. Let y(o) = 16*o**2 + 4*o - 3. Let l be y(1). Solve -5 = h*j - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1398)\/90*-10)\/(-2*(-4)\/480) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, l: 3, b: 1, t: 3}. What is prob of picking 4 v?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 81712289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 0*m. Which is smaller: m or 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 6 + 13 - 10*l + 2*l - 14 + 5*l. Let q(r) = 5*r - 9. Give 7*n(d) + 4*q(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 3, -0.1, 2\/3, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 2, -15, 44, 2\/5, 0.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of -m**7\/168 + m**6\/60 + 3*m**5\/80 - m**4\/12 - m**3\/6 - 2*m**2. Determine g so that f(g) = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c + 3*c - 6*c - 18*c**3 + 23*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -48 or -61266\/1249?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94104 - -153604. What is m rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000024018 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2\/19, -39.\nAnswer: -39, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -s**2 + 1673*s**4 - 6299*s**4 - 16402*s + 13160*s wrt s.\nAnswer: -111024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/708064 and -95\/16856.\nAnswer: 213127264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (18*z + 11*z + z)*(-3*z - 1 + 1)*((-1 - 4 + 4)*(-7 + 2 + 2) + 41 - 5 - 4) as n + s*z**2 + f*z and give s.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -3 - (-1 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59.206 + 0.294. Let d = q + -59. Let o = 4311\/19 - 227. Which is the second biggest value?  (a) -5  (b) d  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -184\/255 - -14\/255. Put k, -1, -0.2, -1\/31 in increasing order.\nAnswer: -1, k, -0.2, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12244057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.0104267*-1\nAnswer: 0.0104267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1285*u = -2*l + 1284*u - 2, -2*u + 5 = -5*l - 14*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 4)*(-24*z + 24*z - z**3) + 10*z**3 + 12*z**3 + 37*z**3 + (5*z - 6*z + 3*z)*(4*z**2 + 0*z**2 - 5*z**2).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from utnlata. Give prob of picking 1 l and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3 = 3*t, -5*t = k - 1 - 6. Differentiate -w**2 - t - 3 - 3*w**2 with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*y - 39*y = 2*r - 17524, -5*r + 43771 = 4*y. What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3406*u**4 + 4582 wrt u?\nAnswer: 13624*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**0*r*r)\/r)**(-45))**2\/((r*r\/(r*r\/(((r*r\/(r**0*r))\/r)\/r*r)))**(-30)*(r**2*r)\/r*r\/r**(-1\/3)) assuming r is positive.\nAnswer: r**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*78\/18*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 739597848 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 5649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.8 + 4.16. Let q = w + 0.14. What is the closest to -0.2 in -3, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3408691, 13634950, 30678715, 54539986?\nAnswer: 85218763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-7\/6)*u*u*(u\/u**21)\/u*u**(-2\/9)*u*u\/(u**(-9)\/u))**(30\/13) assuming u is positive.\nAnswer: u**(-755\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-20)\/15)\/((-1)\/3). Suppose 4*j + 13 - 53 = s*m, -2*j = -5*m - 29. Let v = 23 - j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -5*g + 4*p, -5*p = -5*g - 6 - 4. Let u = 26 - 27. Calculate the remainder when 2 is divided by (-3 - -2) + g\/u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/1 + -5 + 6. Suppose 0*s + 27 = 5*s + 4*c, -5*s + 6 = -g*c. Suppose 0 = 3*i - s*t, 2*t + 2 = t. Which is smaller: -3\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*b + 60*b = -2. Solve 3*j**b - 1090 - 11*j**2 + 1058 + 68*j = 0.\nAnswer: 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 49 = 3*r + 4*f, 13 = r + 5*f. Let w(b) = -b**2 - b + 3. Let u be w(0). Suppose 4*c - u*c = 34. Calculate the remainder when c is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -5*b**3 - 4*b**2 + 5*b - 2. Let f be u(3). Let a = f + 4. Let v = -110 - a. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((r*(r*r**(-36))\/r)\/r)\/r)**(1\/11))**(-38))**40 assuming r is positive.\nAnswer: r**(56240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 6:31 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 307566*a**3 + 182857?\nAnswer: 922698*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -423340 (base 8) to base 11\nAnswer: -96a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 17*d**2 + 15*d + 15. Give j(-18).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -30723 - -6?\nAnswer: -30717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/15*2\/(4\/(-5))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 6*g + 2. Let k be v(-2). Factor -1 + 2*u**2 - 4*u**2 + 4*u**k - 4*u**2 - 3*u.\nAnswer: -(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22754 is divided by 11297?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 5*g - 25 + 5, 3*b + 2*g = 7. Solve -b*r = 10 + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8278*m - 6207*m - 4938*m to the form s*m + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 119573 and 6.\nAnswer: 717438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2722562 divided by 1361281.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - o = -10665, -5*o = 2*p - 3036 - 7601. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210102112 + -2020220?\nAnswer: -212200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g - 601. Let a(m) = 93*m**2 + 17*m + 4. Calculate x(a(b)).\nAnswer: 186*b**2 + 34*b - 593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y - 160. Let p be z(27). Is p bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(252))**2 - sqrt(28))*-6.\nAnswer: -1512 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1664, -1621, -1578?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 55, 12, 5, 2\/253 in decreasing order.\nAnswer: 55, 12, 5, 2\/253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 4:32 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -10*l - 3. Let o(y) = 9*y + 2. Let p(z) = 4*f(z) + 5*o(z). List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -11*v**3 - v**2 + v. Let o(n) = -n + 16. Let y be o(15). Calculate i(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36540731.\nAnswer: 36540731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6846441)\/(-84) - (-11)\/(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 18*r**2 + 21*r - 2. Let d be x(19). Find the common denominator of 103\/48 and -2 + 730\/72 - 8\/d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -78*o - 725. Let z(s) = 300*s**2 + 1. Give l(z(f)).\nAnswer: -23400*f**2 - 803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -12, -3\/4, 3, -8, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/17)*r**(2\/35)*r)\/(r**(-6\/11))**(7\/3) assuming r is positive.\nAnswer: r**(14864\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-25)*(39 + 94909\/(-2461))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 90 = 2*u. Let o be 2\/u*48\/32. Which is the closest to -1\/5?  (a) o  (b) 2\/7  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 13*z**2 - 12*z - 8. Give p(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3\/2, -2605, 1\/270.\nAnswer: -2605, -4, 1\/270, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12670 take away -8806?\nAnswer: 21476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3.1 - 3361\nAnswer: -3357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 117220000 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 21907854755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 - 26. Find the third derivative of -16*x**6 - b*x**2 + 3*x**2 - 4*x**2 wrt x.\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 266ce2 + 2?\nAnswer: 266ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 25*z - 180.\nAnswer: 5*(z - 4)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -36*t + 22*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1658, 1\/2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 less than 318684\/3359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of 13*w**3\/6 + 2*w. Let s(t) = 9 - 6 - 2*t - 3. What is y(s(a))?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6985\/19 - 368. Let i = f - -134\/209. Suppose 505*u + 12860 = -2290. What is the common denominator of u and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 5*o - 7*o - 3*h, 4*h + 82 = 5*o. What is the greatest common divisor of 66 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 16*j**2. Let q be k(16). Suppose 20 = 4*y - 4*i, -2*y + y + 4*i + 20 = q. Solve -3*p = -y*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 187 and 121.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(9\/2)*b\/(b\/b**(-7\/3))*b)**9)**2 assuming b is positive.\nAnswer: b**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4728577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.4 - -6. What is the fourth biggest value in 0.6, c, 1, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6)\/(-39) + 5764\/728 and -27\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13152131471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 139 = 71. Suppose -y = -4*n - 14. What is o in -o**4 - 31*o**3 + 27*o**3 - n*o**4 - 4*o**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64731318.\nAnswer: 2, 3, 293, 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -36*f**3 - 2*f. Let d(u) = -35*u**3 - 2*u. Give 3*d(p) - 2*j(p).\nAnswer: -33*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + 3. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.971 + 0.6. Let l = j - -0.369768. Round l to five decimal places.\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 - 3 + 3)*(0 + v + 0) + 1 + 3*v - 1 - 3 + 3 + 2*v)*(-3 + 1 + 1)*(v + 0*v + 0*v) to the form r*v**2 + k + d*v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 309 + -306. Is -10 + 7 + b + 2631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/64*-12)\/((-90)\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2393293 by 58373.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1531\/10 + 153. Let y = -11 + 7. Put s, y, -5\/6 in descending order.\nAnswer: s, -5\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 22300221?\nAnswer: -22300221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-255)\/525*-15 - (-7)\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*r + 2*y, 3*r + 18804*y - 18809*y = -27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 517 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1313*j + 4788 = -1712*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 5*a**2\/2 - a + 3. Calculate h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -127 - -81. Let r = -38 - n. Does 13 divide 2*(0 + 148\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 1.64  (b) -2  (c) -513  (d) -3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3 = -3*j, 2*j = -4*p - 18 + 26. Sort 0, -15, -4, p in increasing order.\nAnswer: -15, -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 - 2 - 3 + 2 + 0 + (4 - 1 - 1)*(-2 - 3 + 4))*(4*f**2 - 3*f + 3*f)*(0 - 1 + 0) to b*f + h*f**2 + g and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154383?\nAnswer: 3, 51461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 24240.2783 and 5.\nAnswer: 121201.3915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/(-35)*2\/(-28)*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8426.537 milligrams?\nAnswer: 8426537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-7) + (29051\/(-1995) - -14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/4)\/(46 - 10450\/228).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + (-1 - -3))*0. Suppose 5*m - 6*m + 6 = o. Let y be (-1)\/(-3) + 46\/m. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 442*a = 171 + 24160 + 2189 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + 2)**2 - (sqrt(49)\/(sqrt(42)\/sqrt(6)))**2.\nAnswer: 20*sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence npp when three letters picked without replacement from {c: 1, n: 3, p: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-9)*4)\/((-168)\/(-3780)). Solve -y - m = -12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gge?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -48478701 divided by -1\nAnswer: 48478701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*d + 3*o, -2*o = d - o - 3. Suppose s = -2*z + 3, s - 8 = z - d. What is the lowest common multiple of s and (-45)\/(-6) - (-1)\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 39*f**2 + 9*f + 157. Calculate the lowest common multiple of i(39) and 2.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:40 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43\/14 - -5\/2. Which is bigger: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 + (0 - 25 - (126 - (235 - 108)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*u + 5*u - 49*u = -7260672. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 390\/455*7\/(-5)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 107669197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.07 - -0.07. Let m = 11 - 10.61. Let t = m - 8.39. Which is the nearest to -2\/5?  (a) t  (b) 0.1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 43 = -16*s + 18*s, -2*s - 4*d + 52 = 0. Solve o - 1 = 4*g, 0 = -16*o + s*o - 5*g - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82 - 2 = 7*m - 2*i - 78 - 33, 9*m - 3*i - 246 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1630 and 191362.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10558754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l - 11. Give o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1961, -7598, -16827, -29516, -45533, -64746, -87023?\nAnswer: -112232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-316003)\/2350 - 6\/8. Let b = t + -36\/1175. Let i = b + 136. Put i, 0.3, -1\/4 in ascending order.\nAnswer: -1\/4, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.6*-186\nAnswer: 297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -289?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2 - 80398273*a = 0.\nAnswer: -80398273, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138229952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 670*x**2 - x. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - o - 1. Let s(f) be the third derivative of -f**6\/120 - f**3\/3 + 3*f**2. Determine 2*i(x) - s(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 701274.\nAnswer: 2, 3, 7, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a494a + 133?\nAnswer: a4a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17.7 - -102.\nAnswer: 84.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4111?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 873659.1 centuries?\nAnswer: 1048390920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + (43 + -16 + -30 - 37)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**3 - 2*w**3 + 0*w**3 + 23*w**3 + 115*w**3 - 489*w**3 + (-2 + 2 + w)*(w**2 - 2 + 2).\nAnswer: -351*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*o + c - 6, -24 = -7*o + 4*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -2\/3, -0.3, 0.1 in descending order.\nAnswer: 2\/5, 0.1, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-5)\/i*i*i**(-3))\/(i*i*i\/(i\/i**(-1)))**(26\/5))\/((i\/(i\/(i\/(i**(-7)*i))))\/(i*i**5)*i**(-2)*i**1\/i) assuming i is positive.\nAnswer: i**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 3*h - 12. Let p be a(-6). Solve -p*g + 2*g + 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(3\/9*-3)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 15525409?\nAnswer: 15525409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3) - (-2 - (-258)\/45). Let o = x + 4. What is the third biggest value in o, -4, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 255.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2739078 to 4 dps.\nAnswer: -0.2739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**2 - 2*v**4 + 4*v**2 + (-15 - 4 + 3)*(132*v**3 - 116*v**4 - 132*v**3).\nAnswer: 1854*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4630\/2581 or 3?\nAnswer: 4630\/2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72993324 divided by -12.\nAnswer: 6082777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 2*s + 19 = 0, 0 = -3*g - 2*s + 52 - 19 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**2 - 29*a - 1. Let u be k(6). Suppose 0 = -4*t + d + 6479, u*d - 6671 - 1409 = -5*t. What are the prime factors of t?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 48 + -77. Let n be (-2)\/(-1)*(-6)\/(-12)*-33. Let s = o - n. Solve -5 = -3*c + s*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 744 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13 + (-1 - 2) + 3. Let x = 17 - u. Suppose -4*g + 65 = -0*m + 3*m, 4*m - x*g - 124 = 0. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence swss when four letters picked without replacement from {s: 17, w: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 81*q**2 - 1581*q**2 + 813*q**3 - 1045*q**3 - 2304*q + 4*q**4 = 0.\nAnswer: -3, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-690)\/(-184))\/((-3)\/4). Let w(v) = 45*v**2 - 85*v**2 + 3*v + 41*v**2. Determine w(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 0.1. Let v = 3.91 - -0.09. Which is the second smallest value?  (a) y  (b) 2\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3\/2  (b) 3  (c) -3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.145, -6\/13, -2, -0.06, 5 in ascending order.\nAnswer: -2, -6\/13, -0.06, 0.145, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 176 - 128. Suppose -3*q + 2*c = -40, 4 - 40 = -2*q - c. What is the highest common factor of f and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (780\/(-936))\/((-75)\/(-6570))*(1 + 0)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -167 + 157 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, l: 1, u: 2}. What is prob of picking 1 c and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16374*j**3 + 13*j**2 - 23*j**2 + 10*j**2.\nAnswer: -16374*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 6:10 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 2, h: 1, x: 1, t: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67 - 61. Let b(q) = -p*q**2 - 3*q**3 - 6*q**3 - 21 + 15*q**3 - 5*q**3. Is b(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196354\/1503 != 131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-13)\/(-39)*9\/36*0. Put j, -5, 3, 48, 4 in increasing order.\nAnswer: -5, j, 3, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c. Let z be r(1). Let i = -1 - 83. Let h = i - -165\/2. Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45426*q**3 + q**2 + 2*q - 638.\nAnswer: -272556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 7*c**2 + 6*c - 38. Let g(w) = -3*w**2 - 2*w + 3. Determine -6*g(o) - 2*l(o).\nAnswer: 4*o**2 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -85563 divided by -27?\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1413\/5, 2\/3, 3\/2, -4\/15, -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -4\/15, -15.7, -3 in decreasing order.\nAnswer: 5, -4\/15, -2, -3, -15.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -11341403 (base 6) to base 15\nAnswer: -704cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 9*f - 2*f - 4*f - 2*f + 46 - 7*f. Give m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -8\/5, 7, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3930116657.\nAnswer: 191, 20576527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -46, -3 in decreasing order.\nAnswer: 5, 0, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/9)\/s)\/(s**(-2\/5)\/s*s)*s**(-2)*s\/((s\/(s**2*s))\/s*s))\/(((s*(s*s**(-1)*s)\/s*s)\/s**(3\/5))\/((s\/s**(-3\/7))\/s**0)) assuming s is positive.\nAnswer: s**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 0 - 1\/12*b**5 + 0*b + 1\/24*b**6 + 0*b**3 + 0*b**4 + 8*b**2. What is the third derivative of f(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 2*a + 1. Let k be h(2). Solve 4*y = 2*z - 4, -z + k = -0*z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.72159 hours to microseconds.\nAnswer: 218597724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12784 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6656803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1.4. Let x = l + -0.6. Let v = x - -1. What is the biggest value in 0.3, v, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.9557*-9.\nAnswer: 26.6013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 3*p**2. Let h be t(4). Suppose 0 + 3 = 3*m. Let z be 1 + (7 - 3)\/m. Solve -l + 3*x = -0*l + h, -3*x + 32 = -z*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 276508 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 1, -177.3, 0, -3\/8, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + k + 465 = 0, -2*q - 470 = -7*q + 2*k. What is the greatest common factor of 7498 and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - k**2 + k. Let g be a(2). Let j = 12 - g. Suppose -j*m + 4*m + 1480 = 0. What is m rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 105ba81 - 101?\nAnswer: 105b980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -148?  (a) -2\/3  (b) 1\/7  (c) -1\/10  (d) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4197, -8399, -12603, -16809, -21017?\n\"Answer: -a**2 - 4199*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**2\/3 + 89036*l\/3 - 1981852324\/3 = 0.\nAnswer: 44518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144 and 11184?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-69)\/(-14) + (-10)\/4 + 9\/(-21). Let d(j) = 5*j**3 - 3*j**2 - 5*j + 1. Let h(q) = -4*q**3 + 2*q**2 + 6*q - 2. Calculate i*d(t) + 3*h(t).\nAnswer: -2*t**3 + 8*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 16 + (-40 - -9) + 95.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -5*(sqrt(176)*2 + sqrt(176) + sqrt(176)) + sqrt(176) + 5*sqrt(176)*-2)**2.\nAnswer: -1160*sqrt(11) + 148041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(5)*-5))\/(-6*(sqrt(11) - (5*sqrt(11) - sqrt(11))) + sqrt(11)) + 2.\nAnswer: -sqrt(3)\/95 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 19 = -2*t, -4*t - a = -0*a - 13. Suppose 163 = 33*z + 31. Solve -t = 2*c + z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 10 = 5*u - 2*k, -2*u + 2*k = -18. Let b = -96.1 + 96.5. Sort 0, b, u in decreasing order.\nAnswer: u, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.108688 or 0.03?\nAnswer: -0.108688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 793 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-18) + (-6456)\/(-9). Suppose 12*i - c + 5553 = 0. Let w = i + 596. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**3 + 6. Let m(h) = -h**3 + 3. Let k(a) = 7*m(a) - 4*o(a). Let c(u) be the first derivative of k(u). Let q(v) = 2*v. What is c(q(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1318460 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4054, -3690, -3328, -2968, -2610?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -7, 4\/9 in increasing order.\nAnswer: -7, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-4 + (1 + sqrt(1377))**2 + sqrt(1377))*4 - (0 + (sqrt(1377) + 1)**2 + 6*(sqrt(1377)*-2 - sqrt(1377)))).\nAnswer: 252*sqrt(17) + 4119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 6 = -11*o. Suppose -o*z - 3747 = -4*q, 0 = q + 4*z - 581 - 332. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -z**9\/504 - 7*z**6\/360 + 8*z**3 + 7. Let o(h) be the third derivative of p(h). What is the third derivative of o(l) wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j + 4*j**3 + 23226*j**2 + 9*j - 23226*j**2.\nAnswer: 4*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + -3. Let h(k) be the third derivative of k**4\/12 + k**3 + 2*k**2. What is h(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/854654 and -43\/12?\nAnswer: 5127924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 8) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -20704076 - l**2 + 0*l**2 + 19*l + 20704049. What is z(22)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 2*w**2 - w + 2. Suppose -3*o = 4*b - 27, -5*b - o = -32 + 1. Let m(h) = -7*h**3 + 15*h**2 + 4*h - 8. Let x(q) = b*p(q) + m(q). Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (160 - 160 + 16*l)*(16*l + l - 6*l) + (l + 3 - 3)*(-1 + l + 1) - 3*l**2 - 2*l + 2*l.\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 20*d**3 - 105*d**2 - 2*d + 11707 wrt d?\nAnswer: 60*d**2 - 210*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.1  (b) 1\/2  (c) 0.2  (d) -4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7169 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5136914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -2 - -1) + 3. Suppose 0*j + 2*g - 4 = j, 3*j = -4*g + 28. Factor -2*r**2 + 2*r**j - y*r + 4*r.\nAnswer: 2*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 4)*(58 - 58 + 5*p)*(0*p**4 - 5*p**4 + 3*p**4).\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41539 + 3987839\/96. What is the common denominator of v and 38\/3?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*s + 20918 + 26090. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89301365*o**2 - 152694201*o wrt o?\nAnswer: -178602730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -1\/8, 725, 3, 0.5 in decreasing order.\nAnswer: 725, 3, 0.5, -1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**6\/180 + a**5\/45 + a**4\/36 - 8*a**2. Solve q(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(180) + 3) + sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180) + -4*sqrt(180)*2)**2.\nAnswer: 432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 696 and 41673.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 8 = -0*i. Let m = i + -7. Let t = 0.02 + 0.38. What is the nearest to 0.1 in m, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-4) + 6\/(-4). Let j = 41 + f. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.1 times -6721.9\nAnswer: -14115.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/36)\/((c*c\/(c\/(c*c*(c**(-20)\/c)\/c)))\/c*c)*c*c**(-3\/5)*c**(-24))**(-40) assuming c is positive.\nAnswer: c**(1646\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -10*z**3 - 7\/30*z**6 + 0*z**2 - 4*z + 0*z**5 + 1\/6*z**4 - 26. What is the second derivative of k(s) wrt s?\nAnswer: -84*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 6:02 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 285 - 185. Solve -28*b + x = -8*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 4*z - 681 = -701, p + 4*z - 15 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -628 (base 10) to base 8.\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2982 and 3885?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1244214 - -201?\nAnswer: 1244420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4*-2374877\nAnswer: -9499508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 288\/28 - (-2)\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2663758682 to the power of 1\/2, to the nearest integer?\nAnswer: 51612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (140 + 7)\/(3\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -420 + 423. Solve k = -0 + 2, -c*p = -k - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*y + 40. Suppose o = -3*g + 2*g + 4, y = 5*o. Solve g*x + 0 + 18 = 2*r, 3*r - 5*x = 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 77*x**4 - 443*x**3 - 1276*x**2 - 844*x. Let n(c) = -67*c**4 + 442*c**3 + 1277*c**2 + 845*c. Let j(d) = 7*k(d) + 8*n(d). Factor j(b).\nAnswer: 3*b*(b + 1)*(b + 2)*(b + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*k - 0*k + 3*o, -k - 11 = -4*o. Calculate the remainder when 40 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*g - 36*g + 3*t - 5145 = 0, 3*t = -2*g + 2058. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -7307  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p**2 + p**2 - 3*p**2 + (-p + p - p**2)*(3 + 0 - 2) - 2 - 4*p**2 + 2 + 0*p**2 + p**2 - 3*p**2 - p**2 + 3*p**2 + 2*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqtb when four letters picked without replacement from {q: 16, b: 1, t: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 11\/6*(40 + -17 + -19). Suppose -4\/3*v**4 + 8\/3 - w*v**2 - 6*v**3 + 0*v = 0. Calculate v.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 525 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -71. Let h = g - -51.98. Which is the nearest to -1?  (a) 2  (b) -1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 212173, 424344, 636515, 848686?\n\"Answer: 212171*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 1590*k**3 - 2*k**2 + 4*k - 2. Is o(1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32008\/475 + 1256\/19. Calculate the common denominator of a and -6*3\/(-6) - (-2 - 199\/(-45)).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i + 3. Suppose 5*l - 9 = -0*r - 2*r, -4*l = 5*r - 48. Suppose 6*h - 3*h - r = 0. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.27 + 0.062. What is y rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 881.913ml?\nAnswer: 0.881913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -17. Let d(h) = -h**3 + 7*h**2 + 2*h + 5. Let u be d(7). Let k = 25 - u. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -489, -2018, -4585, -8190, -12833?\nAnswer: -18514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*v**2 - 2*v**2 + 5*v**2 - 4*v**3 + 10*v + 9*v - 7*v**2 to u*v**3 + o*v**2 + b*v + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - 7*z - 4. What is j(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127*w - 10*w + 42*w + 18*w.\nAnswer: 177*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Convert -9184 (base 12) to base 3.\nAnswer: -210200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 2*x - 3*u, x - 623*u + 625*u = -6 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000139648778 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 3 - (-77 + 87)) + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -b - 20, b + 5*d + 39 = 9. Let c(s) = 4*s + 131. Let y(h) = h + 40. Let m(u) = -3*c(u) + 10*y(u). Let r(g) = 2*g - 6. What is b*r(t) - 4*m(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 7*y**2 - 7*y - 10. Suppose 0 = -2*f - 2*f + 32. Let a be d(f). Let n(i) = -2*i. Let x be n(a). Solve 2*j - 5*j + 4*w = 22, 0 = x*w - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/13, -3\/4, 1, 1207?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 101542 - -153?\nAnswer: 102025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2380753 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-402)\/(-66) + -6)*11. Is 25 - n - (-9 - -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -0*s - 25. Let w(v) = v + 1. Let h(a) = -5 - 5*a + 4 + 0 - 1. Let r(m) = -h(m) - 6*w(m). What is r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4914242292 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d095c (base 14) to base 7.\nAnswer: -11555245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 + 26 = -4*s. Let l(i) = i**3 + 32*i**2 - 105*i + 10. Let o be l(s). Solve -3*j + o = -2*t, 4*t - 16 = j - 4*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o - 1. Let a(g) = -21*g**3 + g**2 - 5*g - 5. Determine -a(f) + 5*b(f).\nAnswer: 21*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -1.155?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31026*m - 31031*m - 117 + 26.\nAnswer: -5*m - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*i - 261*i = -5*c - 153*i + 68, -3*c + 4*i = -35 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, 0.4, -3, -308, 2.9?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*s**3 - 6*s + 6*s + 1 to the form q + i*s**2 + r*s + x*s**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (62 + 3 + 70)*(9 + 0 + 0)*(2*o - 2*o - o) to the form v + t*o and give t.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 201 + -173.4. Let x = 6.6 - l. Let g = x - -20.9999931. Round g to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-3) + (-280)\/21. Let x(q) = -9*q**2 + 2. Let p(k) = 0*k**2 + 0 - 4*k**2 + 1. Give n*p(t) + 6*x(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -1696*m**2. Let n(c) = 28*c. Determine s(n(h)).\nAnswer: -1329664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f - f**2 - 3*f + (-2 + 5 - 4)*(f**2 + 3*f - 3*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2587 or -2620?\nAnswer: -2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 120*p**2 - 4438*p - 32. What is y(37)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27508442069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -792 and 4.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7 + 0.5. Let w = -82 + 341\/4. Let z = -3 + w. Sort v, z, 1\/7.\nAnswer: v, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 407 and 2479?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 12:42 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1122 divided by 16.\nAnswer: 561\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -231, -461, -687, -909, -1127, -1341, -1551?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*t - 411*t - 608*t + 205*t + 49968 = 0 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m - 20. Let g be z(14). Let c be g\/(-21) + (-4)\/14. Let w = 6 - 3. Solve c = t - j, 12 - 4 = -t + w*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 721\/66 + -80\/33. Let d = 12 + -6. Let u = d + 3. Is n at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -0.05  (c) -1  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/(-10)*172\/6. Let q = -7 + i. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.864122 rounded to two dps?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 192*h. Let n(x) = 35*x. Suppose 0 = g, q + 2*q + 4*g = 84. Let w(i) = q*n(i) - 5*r(i). Let d(c) = c. Calculate d(w(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ucdkuuikikiulcl. Give prob of sequence kll.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-36) + (-53)\/36. Suppose 0*g + 3*g + 23 = -4*c, 0 = -3*c - 3*g - 21. Is c >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5622175448 to the nearest one million.\nAnswer: 5622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 8:57 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d + 2*y - 8, 0 = 5*y. Let p = 9827 - 88444\/9. Which is the second biggest value?  (a) -0.2  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -97b18?\nAnswer: -97b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 + 4*v**4 - 2*v**4 + (-v**4 + 4*v**4 - 4*v**4)*(-13 - 14 + 10).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.209 minus -179550.7?\nAnswer: 179550.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*12\/576*-76.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49 + -46. Calculate the least common multiple of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*m - 45*m - 127*n + 64 + 190 = 41*m, 0 = m + 5*n - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2973206 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2304\/11 - 11509\/55. Suppose 0*j = j + 162. Let o = -491\/3 - j. Which is the closest to -0.6?  (a) -5  (b) o  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98 = -10*a - 4*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2132 - -3451?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/49)\/((-6)\/(-21)) + (-2291)\/(-1027).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358 a factor of 77765147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 12*n**2 + 45*n + 61. Suppose -4*m - 6*x + 1 = -x, 0 = 5*m - 2*x + 7. What is the remainder when b(-6) is divided by (4\/(-5))\/(m\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6138 divided by -198?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5076869067?\nAnswer: 3, 223, 2529581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (339\/904)\/((-1)\/(-12))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -941*z**2 - 940*z**2 + 1889*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o = 38*o - 5658. Which is greater: o or 245?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.68441387 to two dps.\nAnswer: 7.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2412.669 times 60?\nAnswer: -144760.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 3*g + 830 = -5*g, -3*g + 332 = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 16775998.\nAnswer: -4\/8387999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 3, -11342.8, 166?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5883087?\nAnswer: 3, 7, 31, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1\/5, -75, 2 in ascending order.\nAnswer: -75, -2\/3, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 37435855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -358 - -2502\/7. Let k = 139 + -133. Which is the fourth smallest value?  (a) -3  (b) k  (c) -4  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00108317615 rounded to 6 dps?\nAnswer: -0.001083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l**2 - 145*l - 32. Calculate z(49).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.1  (b) 4  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vgvv when four letters picked without replacement from {g: 1, v: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*q + i + 4, -3 = -q - 2*i. Which is the second smallest value?  (a) -3  (b) 0.3  (c) q  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 59 - (23 + -36 + (9 - -8)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 195369 by 2.\nAnswer: 195369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -6264*q**2 - 232. Let r(u) = 895*u**2 + 32. Give 29*r(v) + 4*w(v).\nAnswer: 899*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 207 = 189. Suppose 0 = -i*j + 53*j - 306. Calculate the remainder when 250 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 52 = -25*p + 29*p, -3*p - 3*i + 51 = 0. Solve -59 = -p*c - 5 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 + 7. Let k(n) be the second derivative of n**4\/6 + 7*n**2\/2 - 129*n. Give 4*k(m) - 3*s(m).\nAnswer: 2*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-20))\/((-8)\/(128\/6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*2*sqrt(152) - sqrt(152))*-3)\/(sqrt(8) + (sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88)*-1)))\/sqrt(11) - (sqrt(8) + sqrt(32)\/sqrt(64) + sqrt(8))).\nAnswer: -84*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -11\/6  (b) 1  (c) -0.2  (d) -1\/7  (e) 1\/294878\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30634726.\nAnswer: 2, 19, 806177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 2327?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226256 is divided by 14959.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1004 = -4*m - 904. Solve m - 30 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/9671883 and 11\/148302206?\nAnswer: 444906618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 12*g - 90 = 11*g, 2*g - 48 = -r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*a - 40 = 4*h + 165*a, a = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-2)\/f*f))**(-3\/11)*f**(-1\/3)*f*f**(-9)*((f*f\/f**(1\/7))\/(f**(-5)\/f*f))\/(f**(1\/4))**(-17\/4) assuming f is positive.\nAnswer: f**(-4553\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sllhsslshsggoshslch. What is prob of picking 1 o, 2 g, and 1 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d**2*s**2 - 1906*d**2*s + 2*d*s + d - 444*s**2 - 6*s - 3 wrt d.\nAnswer: 2*d*s**2 - 3812*d*s + 2*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -288 - -288. Let x(h) be the first derivative of 0*h**5 + k*h**4 + 0*h + 1\/2*h**2 + 2 + 0*h**3 - 1\/3*h**6. What is the second derivative of x(d) wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 8) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 22, 35, 56, 85, 122, 167?\n\"Answer: 4*w**2 + w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -425ae (base 16) to base 13\nAnswer: -9692c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*a**2 - 7*a**2 + a**5 + 7*a**5 + (-3*a + 2*a + 3*a)*(-1 + 2*a**4 + 1).\nAnswer: 12*a**5 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 4*o - 148 = -q, 4*q = -5*o + 153. Suppose 0*x + 32 = -4*w + x, -q = 4*w + x. Calculate the common denominator of 1\/6 and (-2)\/w - (-8)\/12*-24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 AM and 4:28 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 3 - (4456 + -4415)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1870, 9505, 22914, 42097, 67054, 97785?\n\"Answer: 2887*j**2 - 1026*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 10*x**2 - 2*x + 24. Let w be r(10). Put 3, -5, -2, w in increasing order.\nAnswer: -5, -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 11*d - 5. Calculate the remainder when 81 is divided by u(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.14537 millimeters in meters?\nAnswer: 0.06714537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-39)\/(-9) - (-1 - -8 - 2). Which is the closest to -1\/4?  (a) 1\/2  (b) y  (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = -56 + 44. Let p be 19\/6 - 4\/d. Which is greater: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l + 0 + 0)*(274*l**2 - 950*l + 950*l + (-2*l - 2*l + 2*l)*(-3 + 3 + l) + l**2 - 2*l**2 + 0*l**2) as d*l**3 + k + p*l + a*l**2 and give d.\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38234 by -1667.\nAnswer: 38234\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49 and 63553?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(2\/5))\/i)**(1\/14)\/(i**(-1)*i)**(-8\/9))\/((i*i\/i**(-2\/15))\/(i**7*i)*i*i*((i\/((i**(-2\/7)*i*i)\/i))\/i)\/i*i*i*i\/(i**(-1)\/i)) assuming i is positive.\nAnswer: i**(58\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 2*v**2 - 3*v - 9. Let a(c) = -c**3 + c**2 - 3*c - 12. Let f(x) = -3*a(x) + 4*q(x). Let k be 2\/(-4)*(-4 - 0). Determine f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g**(3\/4)*g)\/g)\/g*g*(g**(2\/15)*g*g*g)\/g)\/(g**(-1)\/g**0) assuming g is positive.\nAnswer: g**(293\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 169 + -74. Suppose 4*h - 26 = 94. Let m = i - h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*v + 2*v = -40, -2*c + 2*v + 34 = 0. Let x = c - 13. What is the units digit of 1*x + (-5 - -51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 14. Suppose p*r = 8*r - 315. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2225 = -b, b - 3*b + 6670 = 3*a. Suppose 757 = g + a. Is g\/(-36) - 1\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 5, x: 14}. What is prob of sequence yyyx?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 14*c - 2. Does 7 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 199117.8t in nanograms?\nAnswer: 199117800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/((-342)\/(-12)))\/(12\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1229681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*o**2 + 0*o**2 + o**2)*(0*o**2 - o**2 - 6*o**2) - 2*o**4 + o**3 - o**3)*(0 - 1 + 2).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 57973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*c**2*n**2 - 15053*c**2*n - 187*c*l*n - 7502360*l*n**2 + 2*l*n wrt n.\nAnswer: 10*c**2 - 15004720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/3))\/f**0*(f*f**5)\/(f*f**(-6)) assuming f is positive.\nAnswer: f**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 698 is divided by 172?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -120147158*1\nAnswer: -120147158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/(-2)*(2 + 2). Suppose h = 4*m + 34, -h + 2*h - m = f. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3318076465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-20) - (-78)\/(-48).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5201*44\nAnswer: -228844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6333 - -6329. Let y = 0.91 + 0.09. What is the closest to g in y, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*y = -50*y + 53*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6908, 13435, 19962, 26489?\nAnswer: 33016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 136\/237, -6, 0.3, -6\/11, 2 in descending order.\nAnswer: 2, 136\/237, 0.3, -6\/11, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*k**2 - 4*k**2 - k**2)*(-13*k**2 - 7*k**2 + 11*k**2) - 2*k**2 + 75 - 75 - 4*k - 2*k**4 in the form f*k**2 + j*k**3 + n*k + u + r*k**4 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 122758 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 88  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 561 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {t: 4, k: 2, i: 9, z: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 427 = 3*i - 2396, 0 = -3*i + 2*x + 2823. Let u = i + -42343\/45. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, w: 2}. Give prob of sequence aaaw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -34, -1314\/19, 0.04, -1\/3 in descending order.\nAnswer: 0.1, 0.04, -1\/3, -34, -1314\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**6)**(2\/39) assuming g is positive.\nAnswer: g**(14\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, x: 7, o: 1, s: 2, i: 4, b: 2}. What is prob of picking 2 x?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4 + sqrt(288) + 2))**2 + 1*6*((sqrt(10) + (sqrt(10) - sqrt(40)\/sqrt(4)))\/sqrt(5))**2.\nAnswer: 576*sqrt(2) + 1308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, c: 7, a: 2, w: 5}. Give prob of sequence ma.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(192)*2 + sqrt(192))*5)**2 + (3*sqrt(3) + -3 + sqrt(3))**2 + ((3*sqrt(432))**2 - sqrt(3)).\nAnswer: -25*sqrt(3) + 47145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a - 4*a - 4*a**4)*(-3 + 3 - 3)*(0 + 0 - 2*a).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 376365 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 39833925, 79667845, 119501765?\n\"Answer: 39833920*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -141698862 and -0.02.\nAnswer: 2833977.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 881\/(-97791)*(-5 - 1) + ((-16)\/2886)\/2.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -4*v - 5*w - 6, 26 = 5*v - w. Solve 3*l + v*k + 3 = 0, -k + 0*k + 5 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 17*i - 2 + 12*i - 31*i - 10. Let j be o(10). Let x = j - -40. Solve t - x = -2*a + 4*t, -3*a + 1 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3698.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*f + 7899 - 861 = 0. What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 7*i - 6 = 0. Let y(s) = 4*s - 4. Let c be y(i). Suppose 2*u - 2 = -2*t + 4*t, -2*t = 4*u - c. Put -1, t, 1 in descending order.\nAnswer: 1, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**7\/2520 + x**6\/108 + 2*x**5\/45 - 100*x**3\/3 - 33*x**2. Let u(k) be the first derivative of c(k). Factor u(t).\nAnswer: t*(t + 2)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 5:10 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -36, -64, -92, -120?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of 17375*c**6\/24 + c**4\/3 + 16*c**3\/3 - 17*c**2. Let f be m(-4). Round f to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*i + 8 = 0. Suppose -7*l + 19 = 3*p - 2*l, 0 = i*p - 2*l - 2. Differentiate q**3 + p*q**3 - 2 - 2*q**3 wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4595097*l*o - 6*l - 4137167*o wrt l.\nAnswer: 4595097*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 1080, 24589, 0.\nAnswer: 0, 1, 5, 1080, 24589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(252) - (sqrt(252)*-4 + sqrt(252) + sqrt(252))))\/(3*sqrt(100)*4).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by -8465591\nAnswer: 40\/8465591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 119\/6*j**6 + 0*j + 0*j**5 + 0*j**2 - 30*j**3 + 0*j**4 + 132. Find the third derivative of h(m) wrt m.\nAnswer: 7140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, k: 7, a: 8}. Give prob of sequence ka.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 - -68.2. Let q = p - -7. What is the closest to -1 in 2, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229021.\nAnswer: 13, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + -1 - (-138 + 12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o**4 + o**2 + 0*o**3 + 7*o**2 + 0*o**3 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.09 and -12063.\nAnswer: -1085.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 3\/4, -6\/23, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.99 - 4. Let c = w - -3.01. Sort -2\/7, c, 5.\nAnswer: -2\/7, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -896 + 2444.4. Round k to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 20, 3.\nAnswer: -24, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 4. Let a(t) = 1. Let f(w) = -9*w + 12. Let c(b) = j*f(b) + 2*a(b). What are the prime factors of c(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17027646 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: Calculate (-63)\/(-49)*97\/(75660\/(-104)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3297875 nanometers to millimeters.\nAnswer: 0.0000003297875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6666, -13360, -20054, -26748, -33442, -40136?\n\"Answer: -6694*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1601483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 v, and 2 d when four letters picked without replacement from yeweyeevvddywyyveewe?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21305*t**4 + 8*t**2 - 14*t?\nAnswer: 511320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6465852 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + 10.8. Let w = -2.9 + -0.1. Let r be (5 + 17\/(-5))*5\/2. Which is the third smallest value?  (a) w  (b) r  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(((-5)\/45)\/(2\/6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -496, -826, -1200, -1612, -2056, -2526, -3016?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -18678  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15284 - 15320. Which is the second biggest value?  (a) -2  (b) 2  (c) 3\/4  (d) -1\/2  (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1251*g + 88421 + 389979 = 9149*g for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 820*t**2 + 56*t**3 + 22*t**5 - 1621*t**2 + 802*t**2 - t**5 + 2*t**2 - 2*t**2 + (-3 + 1 + 0)*(-t**5 + 2 - 2) - 2*t**5 - 2*t + 2*t.\nAnswer: 21*t**5 + 56*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -10  (c) -2  (d) 6\/329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 60181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 18*u - 11. Let i be h(-20). Let w = 55 + i. What is the tens digit of (-86)\/w*(-16)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -30. Is l at least as big as 3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 4*b + 24 = 0, f - 16*b + 19*b - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.649 * 0.06.\nAnswer: -0.03894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34\/721 + 1816\/7931. Let r = -85 - -173\/2. Which is the closest to r?  (a) -0.1  (b) 6\/11  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 23*r = 21*r. Suppose 0*y + y - 3 = r. Calculate the greatest common divisor of y and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 3*v, -154*v = 2*s - 157*v - 3. Factor 0*q - 4\/11*q**s + 0 - 2\/11*q**4 - 2\/11*q**2.\nAnswer: -2*q**2*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88907.45 rounded to the nearest 100?\nAnswer: 88900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 1:40 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 26*j + 94 = 0, 3949*s - 3*j = 3945*s + 90 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 3*i**2 - 4*i - 3. Let l be j(-2). Let b = -20 - -20.2. Is b at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 10*w - 10. Let q be v(10). Let c be -1 - (-3 - 22\/q). Let p = -2 + 3. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b11 + -13c17?\nAnswer: -13106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 0 - (-106 + 97 + 125)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 165515849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (1 + -3 - 5). Suppose 4*x - 3*h - 1368 = h, x - 317 = -n*h. Let c be 200\/(-2)*(-3 + x). Round c to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 + 21 - (3 - 0)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 16*w - 37. Let g be f(3). Let p(o) = 5 + o**2 + 3*o**2 + 2*o - 2. Let b be p(-3). Calculate the greatest common divisor of g and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 14*s**2 - s + 6. Calculate r(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*y + 55*y - 2 + 0*y**4 - 36*y + y**2 - 6*y**4 in the form k*y + a*y**3 + s*y**4 + d + i*y**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 68.70981 litres?\nAnswer: 68709.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 4*j**2 + 3*j. Let d(p) = -p**2 + 6*p - 3. Let y be d(6). Let g be m(y). Is g smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/7296 and 85\/648.\nAnswer: 196992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 75.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*v**3 - 135*v**3 - 126*v**3 + 345*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 226898.4 kilometers to centimeters.\nAnswer: 22689840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aqg when three letters picked without replacement from gaq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3*p + 2. Let f be 912\/32 - 6\/(-4). Suppose r + 5*c = -7, r + 12 = 2*c - f. Let n = 30 + r. Determine w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2011406 + -0.57?\nAnswer: 2011405.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 5*s - 101 = 0, 5*s - 15 = -0*s. Solve -3*f + r = 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58375068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0634 - 0.0634. What is the closest to -2 in -1, 2, c, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s + 12*s**2 + 12*s**2 - 3*s**3 + 3*s**4 + 7*s**3 + 11*s**3 = 0 for s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, f: 2, n: 5}. What is prob of sequence xx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 11664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d**3 + 14*d**2 - 8*d - 82. Is u(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -371 at most as big as -373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b. Let w(q) = 42173*q. Calculate a(w(h)).\nAnswer: -42173*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 1. Suppose 0 = 56*t + 14 - 23 - 159. Let c(z) = 3 - 3*z - 6 - 2 + 0. Let s(q) = -1. Let f(o) = c(o) - 3*s(o). Calculate t*f(d) + 8*u(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 723.6 and 4.\nAnswer: 2894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51918716?\nAnswer: 2, 19, 43, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9151 = -13*t + 7242. Is t\/3 - 12\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 6:13 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*-2*(-3)\/(-24)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 110\/27 - -34\/27. Find the common denominator of (-5)\/(-10)*292\/(-54) and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d - 22*d + 2 = 0. Suppose -j = i - 212, -j - 216 = -d*j - 5*i. Are j and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (37*f - 64*f + 359 + 25*f)*(-f**3 + 3 - 3) to the form r*f**4 + a + h*f**2 + b*f**3 + x*f and give b.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.109 and 10.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 291315152\/3341 + -87194. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sppsbipsis. What is prob of sequence ips?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from qlqqiuquumm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 16. Let t be (-1)\/(3\/(-75)) + (-7 - a). What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6558\/11 - 596. Sort b, -34, 2\/7.\nAnswer: -34, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5003 - -55053\/11. Factor 2\/11*s**4 - u*s + 24\/11*s**2 + 6\/11 - 12\/11*s**3.\nAnswer: 2*(s - 3)*(s - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 846 in 0.14, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*g - 35 - 1. Let s(w) = -w + 3. What is s(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/(-5)*(-6240)\/(-3640).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41, -81, -121, -161, -201?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43.09 * 3.26.\nAnswer: -140.4734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (41 - 45) - (1 - (0 - -1)) - 61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-81)\/(-45))\/(((-4)\/(800\/(-18)))\/(12\/110))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-2) - 1\/(-2). Let f be ((-4)\/(-10))\/(4\/5)*4. Solve o = -0*t - t - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 9 - 22*f**2 + 30*f**2)*(-27*f**2 - 7*f**2 + 14*f**2).\nAnswer: -160*f**4 + 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2378 + 1694. Let w = 1334 + c. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2120754 (base 8) to base 3\nAnswer: 1001202001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2688 and 84?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 8*v - 2. Suppose h - 56 = -5*z + 4*h, -16 = -z - h. Suppose -3*u + z = o, -u = 5*o + 3*u - 43. List the prime factors of x(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42957 and 1410615.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -14, 0.2, -5\/4, -11\/2, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2201035 (base 6) to base 12\nAnswer: -5317b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 68*t + 410. Let k be o(-6). Which is the second biggest value?  (a) 0.2  (b) 2\/9  (c) -3  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 x when four letters picked without replacement from {p: 11, x: 5}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 61564 - 61680. Let c(t) = -118*t. Let o be c(1). Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72396 and 2574?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -513 (base 13) to base 3.\nAnswer: -1011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) -4  (c) 19  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - 2*(sqrt(19) + -2)) + (2*sqrt(95))\/sqrt(5) + sqrt(19) + sqrt(19))*-6.\nAnswer: -18*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -33. Let m = -19 + j. Let o = m - 9. Which is the second smallest value?  (a) -9  (b) o  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 12 = -2*k, k - 5*r = -k - 12. Calculate the common denominator of (2\/k)\/((-120)\/306) and -40\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.57899753 + 0.579. What is o rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/2442 and 3\/20.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) -2\/11  (c) 3\/11  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (0 + (1 - -4) - (32 - 21))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*l**3 - 401*l*p**3 + 1092*p**3 wrt l.\nAnswer: -9*l**2 - 401*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 9*x = -6404. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 11. Let p(y) = -128*y**2 + 85. Calculate -14*c(r) - 2*p(r).\nAnswer: 242*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9640.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -20 + 5*w**2 - 9*w**2 - 72*w + 8 - 104. Let n(d) = 3*d**2 + 48*d + 77. Let c(i) = 5*f(i) + 8*n(i). What is z in c(z) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**3 - 6892*t**2\/9 + 130690*t\/9 - 1604 = 0.\nAnswer: -401, 1\/9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*f)*(11991734 - 11991734 + 2295*f**3).\nAnswer: -4590*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*m - 8*m - 26*m)*(-7 - 2 + 4)*(2 - 2 - m) + 26*m**2 - 6*m**2 - 8*m**2.\nAnswer: -203*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozzluurzozzrzzl. What is prob of picking 2 l and 1 r?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 14*c - 2. Let q(u) = 3*u + 1. Let z(p) = 4*p + 2. Let a(r) = 3*q(r) - 2*z(r). Let k be a(3). Does 13 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 20 + -2 + 0 + (10 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1446685*q + 1446685*q + 10751*q**3.\nAnswer: 10751*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 24*r**2 + 18*r + 182. Calculate l(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 2 + 10. Let q = 16 - w. Suppose q = -19*n + 21*n. Calculate the highest common divisor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 236 - (2 - 2) - 2. What is the tens digit of 208\/(-6)*f\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**3 + 20 - 2 - 4*f**3 + 21*f**2 - 40 - 3*f - 2*f**4 + 19 to c*f**3 + x*f**4 + i*f**2 + h + k*f and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29 + 10. Let n be (s + 2)*4 + (11 - 8). Let f = n + 132. What are the prime factors of f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -5*q**2 + 24*q + 25. Let v be s(6). Let u(z) = -z**2 - 10*z + 2. Determine u(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 8*k**2 - 22*k - 101. Let a(b) = b**3 + 10*b**2 + 22*b + 100. Let w(j) = -4*a(j) - 3*y(j). What is w(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 2 = -5*j, -6*z = -10*z + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 376619986 = 2*y, 4*r + 486899774 + 15260233 = y. What is r rounded to the nearest 1000000?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g**3 - 9*g**2 + 6*g - 6. Let v(w) = 17*w - 16 + 1440*w**3 + 1 - 27*w**2 - 2 - 1432*w**3. What is 17*h(z) - 6*v(z)?\nAnswer: 3*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -29666?\nAnswer: -29668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**3\/7 - 18*s**2\/7 - 20*s\/7 = 0. What is s?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 4*j**2 - 4*j + 3. Let m be x(3). Let v = -3799.2 - -3799. Let p be 10*(-1)\/4*-2. Which is the closest to 1?  (a) m  (b) v  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -383 + -18.512\nAnswer: -401.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(54\/(-1548)))\/((-4)\/10*(-50)\/10).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 91143 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -201, -330, -457, -582?\n\"Answer: g**2 - 132*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3040\/2379 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*h + 429 = 10*h - 243 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4184?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 5:56 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -4 - -2) + (-39 - -36)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 8*m**3 - m**2 - 2*m + 2. Let t be (4\/2)\/(10\/5). Let b be f(t). Let q = b + 2. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 9:24 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 2*t - 3*t + 22, 5*g = -20. Suppose -2*c = 4*i - 198, -3*c - t*i = 2*c - 527. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 68764, 68766, 68768, 68770, 68772?\n\"Answer: 2*j + 68762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**2 + i**2)*(241 + 208 + 39 - 204 + 553).\nAnswer: 837*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbemmbmwebmme. Give prob of sequence mb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.21 * 2107.09.\nAnswer: 442.4889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from trer. Give prob of picking 1 t and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 7  (c) 306873\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 118 - 116. Suppose -4*y - 1 + 17 = 0. Suppose y*o + 1 = 5. Sort 3, o, q.\nAnswer: o, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-440)\/220)\/(8*3*(-8)\/36).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z = -21*z + 40. What is the smallest value in z, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4590139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 195 - 104. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1636*f - 1599*f + 425 = -367 - 22 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-10)*23\/((-138)\/60). Put 30, r, 0, 1 in ascending order.\nAnswer: 0, 1, r, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*w**3 - 32*w**2 + 118.\nAnswer: -6*w**2 - 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26183494 a multiple of 2701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, 0.3, -482\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 11, -0.5, -1, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165*p**5 - 104*p**3 - 806*p**5 + 394*p**5 + 102*p**3 + 2189*p**2 wrt p.\nAnswer: -14820*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 x, and 1 h when three letters picked without replacement from xxhhwwxwxxhdw?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-14)*23\/(138\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -101.1906829 to 0 decimal places.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57 - 72 - (-5 + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55397687.\nAnswer: 55397687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-160)\/(-56) + 1\/7. Suppose c = 2*w + 2*c - 3, -5*c - 1 = 2*w. Let u = n + w. Solve -u*z = -d, 0 = 3*d + z + 4 + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*g - 8, -2*u + 3*g = 2*u + 28. Let n(c) = -5*c - 12. Let t(j) = 4*j + 11. What is u*t(i) - 3*n(i)?\nAnswer: -i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2078 is divided by 686.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 357840 - -2?\nAnswer: 357842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 142193, 1138010, 3840937, 9104528, 17782337, 30727918, 48794825?\n\"Answer: 142259*p**3 + p**2 + p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**3\/6 + 5*p**2 - 6*p - 3. Let x(o) be the first derivative of s(o). Determine x(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62517462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2827372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*((-1)\/(-2) + (-1)\/1). Calculate the common denominator of 1\/70 and 8\/(840\/(-33)) - l\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -552 + 11221?\nAnswer: 10447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21\/55 + -2\/11. Which is the closest to 0?  (a) -5\/3  (b) -2\/7  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000002219 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 - -423?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a**2 - 4*a + 5. Let c(s) be the first derivative of s**2\/2 - s - 2331. Give -5*c(t) - z(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 12*k**3 - 2*k - 1. Let y be 475\/2 - (-12)\/24. Let d = -239 + y. Determine w(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 250710 - 250708. Suppose -2*t - 20 = 3*t. Let s be 2\/t*3*-2. Solve -s*v = -5*f - 14 + 35, 0 = -m*f + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-3 - 0)\/3)\/(10\/(-1570))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7868300 by -4.\nAnswer: -1967075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -52*z**2. Let v(u) = -2*u - 4. Let d(w) be the second derivative of -w**3\/3 - 3*w**2\/2 + 35*w. Let s(k) = 4*d(k) - 3*v(k). Calculate s(y(b)).\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 855110*v**6*x + 2*v**2 - v*x - 4*v - x - 169 wrt v?\nAnswer: 102613200*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5338 - -6273. Calculate the highest common factor of 340 and f.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14 + 25*b**3 - 23*b - 19*b**4 + 33*b**4 + 9 wrt b.\nAnswer: 168*b**2 + 150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + (sqrt(114) - ((sqrt(114) - (sqrt(114)*1 + sqrt(114))) + sqrt(114))) - sqrt(114))*6)\/(-3*sqrt(36)\/sqrt(6)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 72837502 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 are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - v. Let h = 193 + -190. Let y(a) = -a**3 + 3*a**2 - 3*a. Give h*u(n) - y(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*l - 2. Let a be (-3)\/((-3)\/1) + 4. Suppose -7*u + 12*u + a = 0. Put 2, u, l in decreasing order.\nAnswer: 2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 187 + 92 = -5*j, -j - 2*i + 31 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88455.5 millilitres to litres.\nAnswer: 88.4555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/13 and ((-3)\/2)\/(120\/(-670)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8051 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317170821?\nAnswer: 3, 11, 9611237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(1 + 15\/(-12)). Let g be 4\/8 + (-6)\/m. Let b = 0 + g. Solve -b*u - 1 = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -13. Let b = x - 13. Let v(i) = 6*i. Let d(k) = -2*k. Calculate b*v(z) - 16*d(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -28*q**2 - 101*q - 462. Calculate l(-7).\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-27)\/(-3) - 3)*2. Let a = -7 + o. Let u = -2 + 3. Are u and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(15\/2))**(-41) assuming a is positive.\nAnswer: a**(-615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63 - (-85 + 119) - (92 - 2).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1081.29 to 0 decimal places.\nAnswer: -1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9363  (b) -2\/11  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -13*n**3 + 3*n**2 - 3*n + 5. Let t be a(3). Let m = t - -394. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -14*a + 168. Let y be i(12). Factor -9\/2*p + y + 3\/2*p**3 - 3*p**2.\nAnswer: 3*p*(p - 3)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 199, 288, 377, 466?\n\"Answer: 89*p + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 36*d**2 + 68*d + 4. Let p be 10*(-8 - 399\/(-35)). Let k be a(p). Solve -c = -2*c + k*z + 14, 5*c = z + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*g = 4, 5*g - 41 = -0*s - 2*s. Let u = s + -4. Sort u, 0.4, -0.4.\nAnswer: -0.4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -17818, -17819, -17822, -17827?\n\"Answer: -f**2 + 2*f - 17819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00015677139 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15859, -63342, -142481, -253276, -395727?\n\"Answer: -15828*u**2 + u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 649 - -124. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3220 = m - 4*z, 0 = -z - 4. Let o be (1 + m)\/((-24)\/58200). Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 4*u - 8, 2*a = 3*u - a - 3. Suppose 2*r + 0*r = -2*g, 0 = 4*g + 3*r - 2. Suppose 2*j - 8 = -g. Put -1, u, j in ascending order.\nAnswer: -1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -4, 3, -0.33, 7101?\nAnswer: 7101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * 40.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 679984 = -4*t, 55100 = -3*n + 3*t + 1075112. Round n to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53 + 53. Let g(p) be the second derivative of 0*p**3 + 0*p**5 + o - 1\/15*p**6 - p - 1\/12*p**4 + 0*p**2. What is the third derivative of g(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -9. Suppose -33 = -w*y - 5*o + 17, 2*o = -y + 18. What is the lowest common multiple of y and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 234253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 0*y + y)*(14 + 15 - 4).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4798 + 23986\/5. What is the nearest to -1 in m, 0, 0.04, -2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6223 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8563109 and 7.3.\nAnswer: 8563116.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*t = -5*m + 786, 6 = t + 4*t - 3*t - 2*m - 3*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 4290142017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 1066 = 377*c + 450 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 11 + (1 - (19 - 9)) + -13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 236734 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -12, -10, 2, 30?\n\"Answer: k**3 - 4*k**2 + 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8115*r**3 + 2 + 4 + 502*r**3.\nAnswer: -7613*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7636 divided by 46.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-218067858)\/(-5738) + (-6)\/38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**3*m*w + 74*f**3*w**2 + 3*f**2*m**2*w + 5*f**2*w + 3*m**2*w**2 wrt w.\nAnswer: 148*f**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11.51 - -11.51. Put c, -20\/23, -1\/6 in decreasing order.\nAnswer: c, -1\/6, -20\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 20 = 3*t. Suppose -t*u = -4*c - 322, 3*u - 122 = u + 5*c. Calculate the highest common divisor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11.8 + 30. Let g = r + -0.2. Let n = -17.95 + g. What is n rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 8:50 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5 - 2561*u - 4 - 3 + 1580*u + 943*u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 5*r + 3*r + 450, -r = 4*z - 360. Suppose 3*v = 2*l - 33, 2*l = 6*l - v - 61. Let b = 25 - l. What is the greatest common divisor of b and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6085679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f = 6*f + 15499. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 3*t**2 - 4*t. Let q be k(-5). Let s be (-6)\/q + 8\/(-10). Suppose v = 5*h + 3, h - 6*h = -3*v + 9. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1602 divided by 8?\nAnswer: 801\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89820?\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/25)\/((-3009)\/(-85) - 35).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -15. Suppose 2*f + k - 237 = -72, 5*f - 3*k - 385 = 0. What is the greatest common divisor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.78549 to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10084 and 3632761.\nAnswer: 14531044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 28 = 4*t, -2*k = -213 + 207. Solve -t*h - 3 = w - 11*h, 2*h = w + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 76f - 5?\nAnswer: 76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90641418 is divided by 2385300.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = k - 2*b, 4*k - 29 = 8*k + 3*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163 = 7*p - 10638. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*t + 88*t - 174*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q - 32*q**3 + 31*q**2 + 2 + 93*q**3 - 62*q**3 to the form d*q**3 + b*q + t + p*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 743082 is divided by 418?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/238)\/(8\/4624).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/3  (b) -36  (c) 0.5  (d) -2\/5  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3692 + -25841\/7. Let r be (1\/2)\/(1\/(-1)). What is the third smallest value in -0.1, r, -2\/7, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 2*u - 2*u)*(-184*u**2 + u**4 + 184*u**2 - 4*u).\nAnswer: 2*u**5 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -66 + 68. Which is the smallest value?  (a) -3\/2  (b) 3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*r - 193*r + 111*r + 24*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 231 = 4*a, 14*o + 17*o + 5*a + 423 = 60 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 106200\/7 or 15170?\nAnswer: 106200\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6\/7  (b) 3541  (c) 0.2  (d) -1\/8  (e) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 16. Suppose -205 = 10*l - 175. Put d, l, 3 in increasing order.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -418*y**3 - y**2 + 8*y + 20. Let b(g) = 3*g**2 - 41*g - 17. Let i be b(14). Is h(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -9*o - 3. Suppose o*g - 4*g + 16 = 0. Solve 0 = 2*v - 0 + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -6*h**2. Let o(z) = 1709970*z**2. What is t(o(n))?\nAnswer: -17543984405400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 261552 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13119 times -415?\nAnswer: -5444385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -27*q**7\/14 - 13*q**4\/2 + 11*q - 41. Let x(l) be the first derivative of z(l). What is the third derivative of x(c) wrt c?\nAnswer: -4860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53.9 * 2278\nAnswer: 122784.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 3)*2\/(-4). Let w be (2 + 2\/(-1))*q. Is w greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t - 2*t + 360. What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -6\/887617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 51*c. Let g(n) = -2*n**2 - 154*n. Give 8*b(v) + 3*g(v).\nAnswer: 2*v**2 - 54*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 803471*j = 803443*j + 756 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7*s + 29 = 5*t, 0 = -t - 3. Suppose 2*z = 2*p + 930, 2335 = -6*z + s*z - 3*p. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/5 - 3\/(-15). Suppose b - 4 = -2*c. Suppose 4*v = -5*d + 59, 3*d - v - 34 = -c*v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2857298095 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 97, 108, 123?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 147377 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-69))\/(59205\/(-39470)).\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*k - 408 = -99*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19093 is divided by 119?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 195 + -115. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007815 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 - -367\/18. Calculate the common denominator of 101\/60 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 6:53 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + sqrt(32) + 0 + sqrt(32) + -3).\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5 + sqrt(3) + 1 + (sqrt(24)\/sqrt(2))**2.\nAnswer: sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 13 + 5 - 3*x - x**2 - x**2. Let n be d(-6). Calculate the greatest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -444, -839, -1236, -1635, -2036?\n\"Answer: -l**2 - 392*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 185002 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 85\/6 of a decade in months?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364334.\nAnswer: 2, 182167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 + 24344*x**2 - 36671536*x - 1122163680.\nAnswer: -4*(x - 3058)**2*(x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 9:51 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 80 divided by -74\nAnswer: -40\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 3870838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*z = -39*z + 8. Solve 0 = -2*b - 0 + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-68)\/8*(-210)\/48790.\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117409621*o**2 - 234819253*o**2 + 117409632*o**2 + 0*o**3 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2407410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29?  (a) 5  (b) -0.3  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3830 - 1212 - 3194)*(-1 + 6 - 3)*(2*z**2 + 0*z**2 - z**2) to the form o + r*z**2 + p*z and give r.\nAnswer: -16472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 594d (base 16) to base 5.\nAnswer: 1212421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -5. Let q = 0 + o. Solve -i - 2 = -d, 5*i - 1 = -q*d + 29 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 9*c - 4. Let j(a) = -a**2 - 8*a + 1. Let i(k) = 3*j(k) + 2*v(k). Calculate i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1590 and 357078?\nAnswer: 94625670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14651 + 15173. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3228\/11 - 24779\/88. Calculate the common denominator of 34 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-51)\/(-9)*(74 + -20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -1\/7, 158, -18, 3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 5*z. Let i(m) be the second derivative of -m**5\/15 - 23*m**2\/2 - 16*m. Let q(p) be the first derivative of i(p). Give a(q(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/2649488 and -95\/9632.\nAnswer: 37092832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5475*a = 5432*a + 42 + 345 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 1785*o**2 + 16055*o - 90 = 0.\nAnswer: -9, 2\/357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*h - 5*i + 5, h = -2*i + 11. Let p be -4 + 84\/(-4) + h. Let k = 25 + p. Solve m - 25 = -5*x + k, -4*x + 20 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*r - 18*r - 22*r + 12*r)*(11*r**3 + 38*r - 38*r) + (0*r - 3*r + r)*(3 - 3 - r**3) as t + c*r + q*r**3 + h*r**4 + i*r**2 and give h.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -28 or -2287\/84?\nAnswer: -2287\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 15*g**2 + 8*g + 6. Let f(s) = -s - 1. What is -6*f(h) - y(h)?\nAnswer: -15*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*w + 12 + 84. Calculate the highest common divisor of 132 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x**(1\/4)\/x)))**(4\/5)\/((x\/(x**(4\/7)\/x))\/x*(x\/x**21*x)\/x) assuming x is positive.\nAnswer: x**(664\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 39*c + 111. Let h be b(37). Let z = -153 + h. What is the highest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: 366166 divided by 2\nAnswer: 183083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -0.03  (b) 1.39  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 u when four letters picked without replacement from {u: 11, l: 2, c: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 3*f - 2*f)*(-295*f**2 - 288*f**2 + 620*f**2).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11824 and 8?\nAnswer: 11824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*b**3 + 0*b**3 - 2*b**3 + (4*b**2 - 8*b**2 - 9*b**2)*(10 - 19*b - 10) + b**3 + 3*b**3 + 3*b**3.\nAnswer: 259*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 10:01 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-27)\/(-24) - (0 + 1). Let k = -56\/93 - 2\/31. Which is the closest to k?  (a) -0.3  (b) j  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -498593, -498600, -498611, -498626, -498645, -498668, -498695?\n\"Answer: -2*r**2 - r - 498590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2420 and 200083422.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4516184.6 and 1.\nAnswer: -4516184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.049570022 rounded to six dps?\nAnswer: -0.04957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (13 - 11) - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 25.1. Let q = 8\/7 - 31\/21. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00200749034 rounded to five dps?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 165360*h + 18916020.\nAnswer: -5*(h - 33186)*(h + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28470 (base 10) to base 8.\nAnswer: -67466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 7, 0, 67 in descending order.\nAnswer: 67, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492 is divided by 160?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150200404 is divided by 40279.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 12 = -8*z, -2*z = 3*u + 923 - 943 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*x + 140 = 102*x. Let h be (-4 - x\/(-8))\/((-2)\/20). Let n(t) = -4*t**2 + t + 1. Let o be n(-1). Put o, 11, h in ascending order.\nAnswer: o, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + (-70 - -48) - 39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-4)*(-46)\/69?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1135 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-15)*v*v)\/v*v*v)\/(v\/v**(-1\/8)))\/((v*v*(v*v*v\/(v\/(v\/v**(2\/71)))*v)\/v*v)\/(v\/v**13)) assuming v is positive.\nAnswer: v**(-17663\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22861 - 762*u + 22861 + (-4 + 3 + 4)*(2 + 0 + 0)*(0 + 0 + 3*u) to l + g*u and give g.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 149729711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 323441*c**4 + c**3 + c**2 + 12585519*c wrt c.\nAnswer: 3881292*c**2 + 6*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.53 in -0.1, 1\/8, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2716 - 59765\/22. Let a = 31621\/182 - 2358\/13. Find the common denominator of z and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 40\/18 - (-12)\/(-54). Solve -v*g = 3*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 8 = -4*r, 3*w - 41 = -r - 47 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 138*d - 483 + 3*d**2 - 250*d + 111 + 292*d + 0*d**2.\nAnswer: 3*(d - 2)*(d + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -43 and -177?\nAnswer: 7611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -286 - -293. What is the least common multiple of r and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/347 and 10\/153721.\nAnswer: 153721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -4462?\nAnswer: -4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10*3*(-4)\/20. Let y be (4 + (-13 - m))*9\/15. Let d = 6.8 - 7. Which is the third biggest value?  (a) -0.3  (b) d  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j**(1\/6)\/j)*j*j\/(j**(3\/5)*j)*j assuming j is positive.\nAnswer: j**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-6)\/(-8))\/((-11)\/(-2508))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/7)\/a)\/a**(-5)*(a*a**0)**(-3\/11))\/(a\/a**(1\/2)*((a*a**(2\/23))\/a)\/a*(a**(-1\/2))**(-1\/9)) assuming a is positive.\nAnswer: a**(62830\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 1.01.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 165 by 1140872.\nAnswer: 165\/1140872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13 or 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 12*i**2 + 2. Let y(f) = -13*f + 13*f - 2*f**2. Calculate y(x(q)).\nAnswer: -288*q**4 - 96*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5.428421kg?\nAnswer: 5428421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 6 = -3*o. Factor -h**2 + 3*h**2 + 2*h**o - 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109119671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 72082.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -45, -23, 27, 105, 211?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 24*a**2 - 16*a - 44. What is l(23)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*s + 32*s + 113*s**2 - 3930*s**3 + 90 - 177 + 89 - 108*s**2 wrt s.\nAnswer: -23580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 404244201 (base 6) to base 14\nAnswer: cc4489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 15) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s + 4*s - 2*s)*(-1 + 1 - 1) - 2 - 3*s + 2*s + 2*s.\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 11*h**2 + 2*h + 3. Let m(n) = -27*n + 3*n**2 + 11*n + 16*n. Let i be (-3)\/(-2)*-1*2. Let d(z) = i*r(z) + 12*m(z). Factor d(a).\nAnswer: 3*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8219689 decades to millennia.\nAnswer: 0.008219689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14200 - -440?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/4)*k**(-2\/7)*(k\/(k**(1\/4)\/k)*k)**(-11) assuming k is positive.\nAnswer: k**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 442\/3*i**3 - 810448\/3 + 10804*i**2 + 777592\/3*i + 2\/3*i**4.\nAnswer: 2*(i - 1)*(i + 74)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 848618 is divided by 94275.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*d - 155 = -11. Solve 8 = -4*x + d*y - 7, 2*y - 10 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, a: 4, p: 4, q: 2}. What is prob of picking 1 q, 1 l, and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 32188 + 2db5?\nAnswer: 3515d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -138*f**2*h**3 + 32*f**2*h + 153*f*h**3 - 2*f*h**2 - 116 wrt h.\nAnswer: -828*f**2 + 918*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4*d + 4652 = 0, o + 5*d - 477 = 638. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -224 in decreasing order.\nAnswer: 0, -6, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -43\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8455.29ml to litres.\nAnswer: 8.45529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 20487*h - 184820. Give s(9).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**3 + 73220960*n**2 + 268065449166080*n = 0. What is n?\nAnswer: -7322096, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-52)\/16)\/((-10)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27130 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 18*a + 32. Let i = 195 + -179. Let v be w(i). Solve 3*b - 3 = -v*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-4))\/(((-217)\/(-42))\/31). Let h be (-24)\/(-16) - c\/2. Solve h*a - 5 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10820483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 = -46*k + 233. Let x(b) = 21*b + 2. Give x(k).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.57 + -1.5. Let m(w) = -3*w**3 + 14*w**2 + 3*w + 11. Let p be m(5). Put -5, p, g in decreasing order.\nAnswer: p, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 669.4 - 1614.1. Let g = -905 - h. Let c = g - 37. Round c to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 3426 in ascending order.\nAnswer: 4, 5, 3426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 161796609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/3, 83, -1, 269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 16, 45, 74, 103, 132?\n\"Answer: 29*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (42 - 41)\/((-1)\/(-115)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -0.3  (c) 15  (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-46)\/(-10) + (-2)\/(-5). Suppose 1464 = 4*k - 5*p + 324, -1392 = -u*k - 2*p. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.9 + -1.59. Let q = g - 1.31. Which is the nearest to q?  (a) 0  (b) 2  (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/(-4) + ((-10790)\/(-120))\/13 and 41\/58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40567 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -94 + 106. Suppose -f + 4 = 2*a, 2*a = -3*m + 13. Let r = 16 - m. Calculate the remainder when 30 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 81 + (2 - (-4 + 16)) + 22 + -23.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58266807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -3, 5, -1, 4.\nAnswer: -22, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2536 and 58987360.\nAnswer: 58987360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0, 0.2, 4\/17 in decreasing order.\nAnswer: 0.3, 4\/17, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 66, 238, 584, 1164, 2038?\nAnswer: 3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 577778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3864 divided by -276?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kiiiuiuuikvtzui. What is prob of sequence iuu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by ((-4)\/(-7))\/(-13*22\/(-29029))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019386993 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 14 - 10. Let g = h + 3. Let f(c) = g*c - 5*c + 0*c. Let o(u) = -2*u**2. What is o(f(b))?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 192773 = 4*g, -5*g + 8*g + 3*t = 144585. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 268 a factor of 29393972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r**2 - 3*r)*(-4*r - 2*r - r) + 450*r**3 + 4905*r - 4905*r.\nAnswer: 443*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 26, 62, 110, 170, 242?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -4\/3  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 636601 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2*h - h = -6, 0 = 3*w + h - 14. Suppose 8 = w*x + 3*n - 4*n, x = -2*n + 11. Put -3, x, -5 in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + 4. Let w be o\/((-38)\/40 + 1). Is 20 a factor of (-3)\/(-2)*w\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/17, 9, 1\/3, 2, 1\/4, -5\/64, -0.29?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nbwwy. Give prob of picking 1 n, 1 w, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 523421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 9 - 1)*(-2 + 2 + 1)*(-n**4 + n**3 - n**3).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 22*x - 72. Let p be u(17). Suppose 140 = -9*g + p*g. Solve -5*z + 0*a + 5*a = g, -2*z - a + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59620 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + 2*q - 4. Suppose 0 = -7*n + 3*n - 16. Determine m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-103694)\/(-102575) + -2 + ((-312)\/25)\/(-6). Factor -2\/11*d**2 + m*d - 10\/11.\nAnswer: -2*(d - 5)*(d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 11 + 7. Let n(h) = -h + 6. What is n(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3130301002 (base 4) in base 2?\nAnswer: -11011100110001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 509892.1m?\nAnswer: 50989210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 817*d + 312 - 312 - 430*d**2 - 817*d.\nAnswer: -430*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 6*o - 13. Let p be g(4). Put p, 0, 4 in decreasing order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 3*b**2 + 3*b + 1. Let n be y(-2). Let f = n - -5. Calculate the lowest common multiple of f and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + q - 2. Let g(c) = -1731*c**2 - 1154*c + 2308. Let n(w) = -g(w) - 1154*r(w). Let l(f) = 2*f**2. What is n(l(t))?\nAnswer: 2308*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 42177991 and 1.\nAnswer: 42177991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2114370 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 140  (c) 1\/11  (d) -4\/3  (e) -175  (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 5*f - 3*f)*(0*f**4 + 0*f**4 - 2*f**4) + 1 - 1 - 2*f**5 - 2*f**5 + 4*f**5 - f**5 + 4*f**5 - 4*f**5 + 2*f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 12:43 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56, -215, -480, -851, -1328?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 - 0.05. Let a = 0.15 + o. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-3) + (-40)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 16*x**2 + 11*x - 16. Let q be v(7). Let g = q + -580. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 11) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6*v - 81. Let s be m(13). Let a = 523 + s. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 38905117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -414351 * -2.19\nAnswer: 907428.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 0.2  (b) 0.3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18141 + -18141.7283. Round c to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -6 + 8 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 11. Let z = -4 + 1. Let v = z - -6. What is the smallest value in o, 3\/4, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 12609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -407 + 402. Let k(n) = -4*n + 5. Let t(a) = -1. Let g(d) = h*t(d) - k(d). Let q(y) = 10*y. Let j(z) = 20*z. Let p(o) = 2*j(o) - 5*q(o). Give p(g(l)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 67*i**8\/168 - i**4\/24 - i**3\/3 + 2*i**2 + 16*i. What is the second derivative of m(y) wrt y?\nAnswer: 2680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -698*n = -738*n + 259200. 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 least common multiple of 27720 and 3276?\nAnswer: 360360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 0*w = 180. Let j(k) = 267*k**3 - k**2 + 1. Let s be j(-1). What is the common denominator of -58\/7 and s\/w + (-3)\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -30*j**3 + 70*j - 70. Let n(f) = -f**3 + f - 1. Calculate -2*m(c) + 140*n(c).\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -255, -78, 941, 3222, 7185, 13250?\n\"Answer: 70*j**3 + j**2 - 316*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -6*p**2 + 2*p + 2. Let a be b(-1). Let r be 3 - a\/(18\/21). What is the units digit of ((-42)\/(-15))\/(2\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-5*(0 + sqrt(128) - sqrt(128)) - (0 + (1 + sqrt(128) - sqrt(128))))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 6:20 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 159, 157, 157, 159?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 w, and 1 u when three letters picked without replacement from wtwrwprpurrruwj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -71, -111, -153, -197, -243, -291?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 11:45 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1792531338?\nAnswer: 2, 3, 13, 53, 433607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-9)*-1*3. Suppose -3*k + 12 = 0, o = r*o - k - 56. Suppose -3*h - 2*h = -o. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4938*s + 209 = 10085 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -965 by 602.\nAnswer: -965\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1878 = 4054*i - 4060*i. Are 290 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 169575, 678303, 1526183, 2713215, 4239399, 6104735?\nAnswer: 8309223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/3 and 124\/8*10\/115.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -i - 4*o - 12, -i = -5*o - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from ngvggtv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -8. Let v = i + -4.00025. Let s = 0 - v. Round s to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 257 - 181. Let x = q - 72.8. Let s = 1.2 + x. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -826 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43?  (a) -76  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45676453 to the power of 1\/2, to the nearest integer?\nAnswer: 6758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mxhx when four letters picked without replacement from chcxumecuxxmcmuccc?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -57*g**2 + 21*g + 18. Let j(t) = -35*t**2 + 13*t + 11. Let q(a) = -8*i(a) + 13*j(a). Let w(o) = -10*o**2 + 5. Determine -3*q(r) - w(r).\nAnswer: 7*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 6)\/(4\/(-2)). Let m = k + -2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.27925 and -7.\nAnswer: 1.95475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -16*b - 17. Let j(f) = -f**2. Calculate g(j(z)).\nAnswer: 16*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 69 - 14. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32042, 34521, 36998, 39473, 41946?\nAnswer: 44417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-3\/5)\/s*s)\/(s\/s**(-2\/13)))\/(s\/(s\/((s\/((s*(s*s**(-5)*s)\/s)\/s))\/s))*s*s*s*s**(-1)))\/((s\/s**(-2\/3))**(14\/3))**(-3) assuming s is positive.\nAnswer: s**(3233\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -5*b**5 - 125*b**4 + 1165*b**3 + 1405*b**2 - 1160*b - 1280 = 0.\nAnswer: -32, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*sqrt(475))**2 - -3*(sqrt(475)*-4)**2.\nAnswer: 27079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -262089.681 rounded to the nearest 100?\nAnswer: -262100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1896 divided by -24\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 153 + 3. Let x(l) = -4*l**2 + 4 + s*l - 150*l + 6*l**2. Let z(u) = -4*u**2 - 11*u - 7. Determine 5*x(d) + 3*z(d).\nAnswer: -2*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 5)*(4*y + 0*y - 3*y)*(25*y - 2 - 24*y + 0) + 810*y**2 + 1358*y**2 + 40*y**2.\nAnswer: 2206*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -149*u**3*w + u**2*w - u*w - 25*u - 4*w wrt u?\nAnswer: -894*u*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 43*g + 1. Let c(k) = 2*k**2 + 1890*k - 48. What is c(x(n))?\nAnswer: 3698*n**2 + 81442*n + 1844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49959 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and 16904.8?\nAnswer: 16908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 154.3 + -43. Let n = s - 111. Let m = 0.24 + -0.14. What is the second smallest value in n, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209898.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 17*x**2 + 15*x - 3. Let g be m(-16). Suppose -g = -l + 2*z - 5, 17 = 2*l - 3*z. Solve -3*i - 14 = -l*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 607*v**2 + 604*v**2 - 1214*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**3 + 2*a**3 - a**2 + 6*a**2 + 0*a**3 to w*a**2 + t*a + j*a**3 + m and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 170602097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 252 + -256. Let c(p) = p**2 - 3*p - 2. Calculate c(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of 5*g**4\/6 + 4*g**3\/3 + 4*g**2 + 4*g. Let z(y) = 9*y**2 + 7*y + 7. What is -6*q(h) + 7*z(h)?\nAnswer: 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9305 + 29262. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.6058 - 0.60134. Round j to four dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b + 25 - 10 + 35 - 8. What is g(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*r = 2943 + 864 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 3*u - 273 - 201, 5*u - 5 = 0. What are the prime factors of r?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -11105.\nAnswer: 55525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 137 - 85. Let t = c - 36. What is the greatest common factor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -291385310 and -2.24.\nAnswer: -291385312.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 - (-1 - (3 + -6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 4481*k**3 - 3*k**2 - 5*k - 1. Let n = 20 - 23. Let w be c(n). What is w rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 3*q + 2*c = -7, 0 = -2*c - 2. Let i = 0 - q. Let w = 7 + i. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 7 - 33 = 0. Suppose 0 = -6*g + 4*g - j. Is (g - -3)\/((-1)\/3299) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 4. Let p be ((-21)\/490*4)\/(3\/(-5)). What is the nearest to p in d, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -730 + 1011. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 724  (b) 188  (c) 0.76  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 610861 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*j - 2395 = -51*j. Suppose -a + j = -m, -6 = -2*m - 4. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 31*z + 204. Let q be f(-9). Let m(v) = -2*v + v**3 + 459 - 5*v**2 - 464 - v. Give m(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k + 0*k + 0*k + (-1 - 4 + 4)*(-2*k - 1 + 1) - 6*k + 4*k + k + 9*k - 3*k + k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/6*(-2)\/(-1))\/(-122*(-251)\/244976).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 5*n + 693 = -9*h + 879, 7*n = -266 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.95 - -0.05. What is the closest to 0.1 in v, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 5*r**3 + 21*r**2 - 556*r - 2246. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -352160 = -24*s - 38*s. What are the prime factors of s?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((17 + -3)\/(-7))\/(-10). Which is the third smallest value?  (a) o  (b) -1  (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*i - i = 32, 0 = -2*t + 3*i - 27. Let p be (-5 - t)*(-1 - -1). Let k = -3 - -2. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(47\/4)\/u))\/(u\/(u*u**(5\/8)*u)))\/(u**(12\/13)*u*u**(-2\/143)) assuming u is positive.\nAnswer: u**(-971\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) 0  (c) -3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.1, -1\/4, -1\/23718 in descending order.\nAnswer: -1\/23718, -1\/4, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -168\/11 + 3170\/209. Which is the closest to 1?  (a) o  (b) -1\/6  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3365, 6733, 10099, 13463?\nAnswer: 16825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -8118, 4, 5 in descending order.\nAnswer: 5, 4, -8118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16326736 divided by 4081684.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(136)*-2)\/((sqrt(96)*1 + sqrt(96))\/sqrt(12)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 257*d - 113446. What is j(489)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 7:18 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-6\/7)\/y)**(-1\/43))**(-49) assuming y is positive.\nAnswer: y**(-91\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 754\/40 + (-996)\/(-6640). Solve -5*i - 49 = -2*x - t, 0 = 3*x for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -13288, -26574, -39860, -53146, -66432?\n\"Answer: -13286*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 9:49 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = d - 6*d. Let x be 15*(16\/d - -3). Let l be (-13)\/(-26)*5*2. Solve 0 = l*h - 5 - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.08?  (a) 0.2  (b) 1  (c) 10.3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i**2 - 12032*i**3 - 6*i**2 + 24072*i**3 + 1 - 11830*i**3 - 3*i**4 to a*i**4 + q + w*i + h*i**2 + l*i**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/8  (b) 0.083  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -d**2\/2 + 17. Let j(y) = 3*y**2 + 15. Calculate n(j(k)).\nAnswer: -3*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1515 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 4*b + 17. Give t(12).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -f**2\/2 + 2*f - 1. Let o = -28 - -29. Let b be z(o). Solve 4*y = -5*q - 6, y + 7 = q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, y: 2, d: 4, q: 3, z: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5569 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -2 - 10\/(-5). Let z be (-2)\/2*s - -2. Let d = -0.08 + 5.08. Which is the third biggest value?  (a) z  (b) -2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/14 + -17\/42. Which is the biggest value?  (a) k  (b) -4  (c) 2\/7  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 3. Suppose -x + 2*u = -17, 2*x - 4 - 34 = 5*u. Let g(a) = -2*a + x*a + a + t*a. Let i(c) = -2*c**2. Calculate g(i(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50283 and 8565?\nAnswer: 143557965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 0*r**2 + 0*r**3 + 0 + 1\/42*r**7 - 1\/5*r**5 + 0*r**4 - 1\/10*r**6 + 78*r. Solve w(c) = 0 for c.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from srssrrrrrrsrs.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8*(136\/(-340))\/(72\/10)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + 2*sqrt(4))*4.\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 26. Let n = 183 + w. Let v = 209.091 - n. What is v rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 7 - 1. Let m(k) = 3*k**2 - 7*k + 9. Let o be m(p). Let t(w) = 16*w**2 + 3*w. Let g be t(-3). What is the highest common factor of o and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 7*p**2 + 8*p + 11. Let q be v(-6). Let u = q - 2. Let o(n) = -n**3 - 2*n**2 + 2*n + 6. What are the prime factors of o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 104*g - 115*g + 10494. What are the prime factors of g?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nknhksnnonnnnhshnnnn.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 6:14 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*m - 507, 2*d + 0*d = -m - 261. Which is smaller: m or -253?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 9*x**2 + 60. Let d(r) = -34*r + 9. Calculate d(p(g)).\nAnswer: -306*g**2 - 2031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 4*a**2 - 1. Give b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -3*b**3 + 5190*b**2 - 711447*b + 706260 = 0.\nAnswer: 1, 149, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t = -373 + 263. Suppose 4*a + 5*p = 28, 4*a - 9*p = -t*p - 8. Factor 1\/2*i - 1\/3 - 1\/6*i**a.\nAnswer: -(i - 2)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152762177?\nAnswer: 152762177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-64 - 62*p**3 + 64)*(3*p + p - p) + 3 + 5*p**4 - 3 as k + x*p + r*p**3 + c*p**4 + n*p**2 and give c.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*k + 1143 + 546 = 447 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 725578634 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-35)*j**(-7\/9))\/(j**(-4\/25)\/j**(-27)))**(-18) assuming j is positive.\nAnswer: j**(28178\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 1600746.\nAnswer: 28813428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1048016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 1. Let v(r) = -r + 6. Let s(n) = i(n) + v(n). Let k(b) = -b + 11. Let g be k(5). Let d be s(g). Solve -2*f = -5*w + d + 6, -3*w = 5*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 27, -3553 in decreasing order.\nAnswer: 27, 5, -3553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67.21 - 67. Let g = r - -1.79. Let f = 0 + 0. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1521 + -4?\nAnswer: 151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 * -0.174.\nAnswer: -0.00696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 2*k = 0. Suppose -3*r = -k*i - 2*i - 12, -6 = 3*r + 4*i. Factor 2*m + m - 3*m**4 - 3*m**3 - 7*m**2 + 10*m**r.\nAnswer: -3*m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*x - t = -80*x - 21, -5*t + 5 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 346, 331, 284, 187, 22?\n\"Answer: -3*p**3 + 2*p**2 + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185*i - 2502 = -12*i + 1635 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*d + 419 + 1831. Calculate the remainder when d is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 128.73 - 130. Round o to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -5.\nAnswer: -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 276424117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1597*t**2 - 3 + 0*t**3 + 2*t - 1592*t**2 + 3*t**3 to r + w*t**2 + h*t**3 + l*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.022, -74\/5, -5, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, -0.022, -5, -74\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -12. Let b be (-6)\/4*(-10 + t). Solve b*p - 5*k = -p + 12, -4*k = 4*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(13) + -1 + -4)**2 - sqrt(13)).\nAnswer: -11*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 times 3887682?\nAnswer: -2721377.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 18*j - 6*j + 11*j + (3*j + j - 2*j)*(-4 + 5 - 2) + 2*j - 8*j - j + 2*j - 2*j - 2*j as d*j + u and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 2  (b) -40  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 38624 and 28968?\nAnswer: 115872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i**3 + 4029*i**2 + 173210*i + 230. Give x(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -62948, -5, 3 in descending order.\nAnswer: 3, -5, -62948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -610 - -603. Let x = -5 - -5. Let k = x - -0.2. Put k, -5, j in increasing order.\nAnswer: j, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 < 337\/75035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2*t = -5, -v + 3*t + 5 = 4*v. Suppose -5*o = -0*o - 5. What is the highest common divisor of v and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 0*o**3 + 0*o**5 + 0*o**2 + o - 3\/10*o**6 - 1\/4*o**4 + 0. What is the third derivative of k(s) wrt s?\nAnswer: -216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -105 + 111. Suppose -2*u - 5*z = -76, -y = -u + 5*z + 2. What is the highest common divisor of u and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -652*c = -672*c + 306900. Calculate the highest common divisor of c and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of 5\/336*n**8 - 3*n**2 - 25\/24*n**4 - 1\/7*n**7 + 0 + 1\/6*n**6 - 2*n + 1\/2*n**5 + 0*n**3. Factor h(r).\nAnswer: 5*r*(r - 5)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d + 288 = 210. Let z(j) = 2*j**3 - 3*j**2 + 3*j - 3. Let v be (-2)\/6 + 25\/3. Let k(f) = 5*f**3 - 8*f**2 + 8*f - 8. What is d*k(b) + v*z(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w**3 + 0*w**3 + 2*w**3 + w**3 + 0*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2615493349 to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -15. Let p(z) = -a*z + 1 - z**2 + 4*z + 2. What is p(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -16*u + 9. Let g be n(2). Let w = -25 - g. What is the nearest to -2\/25 in -0.5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 11172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r**3 - 2*r**2 - r + 3. Let i(a) = -16*a**3 - 11*a**2 - 4*a + 15. Let w = 5264 + -5275. Calculate w*x(k) + 2*i(k).\nAnswer: k**3 + 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 24*f + 274. Determine i(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**3 + 4145*q**2 - 16520*q + 16500 = 0. What is q?\nAnswer: 2, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.09 + -1.89. Let j = 19 - s. Let u = j + -0.8. What is the smallest value in u, 0.1, 3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/7 + 0 + 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (109*j - 497*j + 271*j)*(6*j**2 + 2*j**2 - 5*j**2).\nAnswer: -351*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + x**2)*((119*x + 35*x - 51*x)*(-x + 3*x - 4*x + 2) - x - 2*x**2 + 3*x - 4*x).\nAnswer: -208*x**4 + 204*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a + 4*a + 0*a + (-4*a + 3*a + 2*a)*(-1 + 2 - 2) - 4 + 2*a + 4)*(3*a - 3*a + 2*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 9df?\nAnswer: -9df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12222 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1112 - 2217 + 1105 - 314*d**2.\nAnswer: -314*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((((n\/(n**(-2\/5)*n*n)*n)\/n)\/n)\/n)*n*n)**41*n**2\/n**(-2\/3))\/(n**(-1\/11)\/n**(-6))**(-1\/16) assuming n is positive.\nAnswer: n**(614159\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + (sqrt(700) - (1 + sqrt(700))) + (((sqrt(77)*1)\/sqrt(11))**2 + (sqrt(7) - (0 + sqrt(175))**2))*1).\nAnswer: -3*sqrt(7) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 197198, 394141, 591084, 788027, 984970, 1181913?\n\"Answer: 196943*n + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 1. Let z be (4\/(-3) - 1)\/(2\/36). Let p be (7\/14)\/((-3)\/z). What is the greatest common divisor of p and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 155, 172, 191?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2628\/30)\/((-4)\/(-10)). Suppose -1027 - i = -7*r. Suppose -y + 2*g = -776, -978 = -y - 4*g - r. What is y rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 3783*z**3 + 109708*z**2 + z - 823. Determine n(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - 2*v**2 + 0*v**2)*(0*v - v + 3*v) + (-164*v + 16*v**2 + 164*v)*(-5*v + 4*v + 0*v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**16*x*x\/((x**(-12)\/x)\/x*x))**(-47) assuming x is positive.\nAnswer: x**(-1457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.029, 1, -14, -0.13, 0, 0.02?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(2)*1 + -1 - (sqrt(10)\/(sqrt(5) - (sqrt(125) - sqrt(5))))**2).\nAnswer: -sqrt(2) + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-1\/2)*t*t)**(5\/8)*(t**2)**(-2\/37)*((t*t**2)\/t**9)\/(t**(-2\/5)\/t*t**(-6)\/t) assuming t is positive.\nAnswer: t**(11409\/2960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 0.27  (b) 2\/15  (c) -342\/5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -33, -71, -129, -213, -329, -483, -681?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 - 0.3. Let u = 0.082 + 17.218. Let g = -17 + u. Sort g, m, -4 in ascending order.\nAnswer: -4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 81*d + 171. Let i be u(-83). Let h = 6 - 3. Solve -i*b = -h*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 152, 165, 200, 269, 384, 557, 800, 1125?\n\"Answer: 2*w**3 - w**2 + 2*w + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (21\/(-14))\/((-6)\/(-32)*-4). Is -3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - 1 - ((14 - 13) + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -24974459.\nAnswer: 2497445.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from bbbbbbwwbbbbb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.09 and 3.21517117?\nAnswer: 4.30517117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 545 divide 34280033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-42)\/(-189) - 3\/(27\/2). Solve 0 = 5*m - m - 16, c = -t + m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of y**5\/30 - y**4\/12 - y**3\/3 + 2*y**2. Let h be j(2). Calculate the lowest common multiple of (h - -4)\/(3\/2) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0016831 rounded to five decimal places?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**2 + 2047*v + 12234. Calculate a(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 813*h**3 - 2 + 2.\nAnswer: 813*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 23509, 37288, 51067, 64846, 78625, 92404?\n\"Answer: 13779*x + 9730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11108171 (base 9) to base 11.\nAnswer: 3044717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1929570?\nAnswer: 2, 3, 5, 64319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -137 by -26.\nAnswer: 137\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 83215965757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 4 - 4)*(4*o**2 - 2*o**3 - 4*o**2) + (-1 - 1 + 4)*(2*o**3 - 2*o + 2*o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -v + 3*y - 11, -3*v + 2*y + 11 = 0. Suppose 0 = -v*f - 5 - 5. What is the closest to 0.2 in f, 0.3, 0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28506 + 29179.47. Let y = r + -670. What is y rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 2\/5*c**5 + 0*c**3 + 118 + 18*c**2 + 0*c**4 + 150*c. Differentiate w(t) with respect to t.\nAnswer: 8*t**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 52*x - 9 - 145*x**3 + 22.\nAnswer: -145*x**3 - 52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -1193*u - 706. Is z(-4) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -943053 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 34256866 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50.4 + 5.7. Let x = -10.4 + 66.4. Let l = n - x. Put -0.2, -2\/7, l in increasing order.\nAnswer: -2\/7, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2*v + 329 = 109, 5*v = k + 77. Which is greater: k or -58?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00097053 rounded to 6 decimal places?\nAnswer: 0.000971","meta":{"dup_signals":{},"source":"numbers__round_number_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: Expand (-1 + 11 - 1 + 43)*(2*x + 2 - 2).\nAnswer: 104*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 12:42 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 39227*a**2*p**3 - 12*a**2 + 26*a + 5 wrt p.\nAnswer: 117681*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -295819 - -295827. Let a(h) = h**2 + h + 37. Let m be (1 - 0) + (0 - 1). Calculate the remainder when a(m) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3079, -7558, -13413, -20650, -29275?\n\"Answer: -a**3 - 682*a**2 - 2426*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14916 = 701*y - 475*y for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1013 equal to 362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, r: 11}. What is prob of picking 2 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b + 7. Let d be (5\/(30\/(-21)))\/(2\/(-4)). Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1014\/11 - -92. Let f = -0.2 + -4.8. Let t = 8 + -3. What is the nearest to -0.2 in y, f, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5.8?  (a) -0.06  (b) -0.6  (c) -55\/641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-50)\/(-4)*208\/65. Suppose 41*w - l*w = 22. Calculate the greatest common factor of w and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*a**3 - 17*a**3 - a**3 + 23*a**3.\nAnswer: 42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(252) + (-4 + sqrt(252) + -1 + sqrt(252))**2)*-3 + ((-4*(sqrt(252) + 1))**2 - (-2*(sqrt(252)*-3 + sqrt(252) + sqrt(252)) + sqrt(252))).\nAnswer: -11447 + 1884*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*2 + 7 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((-1011360)\/(-337122) + -3). Suppose 5*k - 17137 = -g. What is k rounded to the nearest one hundred?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -67. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346883 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45227.96kg to micrograms.\nAnswer: 45227960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0 = -12. Let g = 264.6 + -156.7. Let s = g + -108. Put s, a, 2 in ascending order.\nAnswer: s, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 15 - 16*x + 9*x + 6*x. What is the remainder when g(-7) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**2*q**2 + 19844*g**2*q - 5*g*q - g - 10516861*q**2 - 11 wrt q.\nAnswer: 8*g**2 - 21033722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3468*v**5 + 13668*v**4 - 16527*v**3 + 5928*v**2 + 393*v + 6 = 0. Calculate v.\nAnswer: -1\/34, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 11, -7 in descending order.\nAnswer: 11, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 9*k + 64. Determine a(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b - 36. Let k be s(-6). Suppose 0 = -c - k*c - c. Solve c = -f + 2*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 752681, 752682, 752683, 752684?\n\"Answer: w + 752680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = s, -3*w - s + 5*s = -26. Let q(o) = o - 1. Let i(f) = -5*f - 2. Let a(v) = w*q(v) - i(v). What is the tens digit of a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -171, 50, 1\/5, -3, -5 in decreasing order.\nAnswer: 50, 1\/3, 1\/5, -3, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 295075 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/31?  (a) -2  (b) 2\/5  (c) -0.1  (d) 8.4  (e) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.083 + -53.083. Let z = d - -33. Let s = -20 - z. What is the smallest value in s, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*o - 17, -3*o + 40 = 52. Let c = -1 + -1. Suppose 4*z = -z + 5. Put w, z, c in increasing order.\nAnswer: w, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(2\/9))**(-1\/15))**(-1)\/((((u\/u**(1\/9))\/u)\/u)**16)**(2\/5) assuming u is positive.\nAnswer: u**(971\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-75)\/(-10))\/(-215*103\/(-345462))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x*x\/x**(-6\/5))\/x*x**(2\/67))\/((x\/x**36)\/(x*x*x*x**(-16)*x)) assuming x is positive.\nAnswer: x**(8787\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100110001 (base 2) in base 10?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 + (-2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1937683 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 4*m**2 + 3*m + 2. Let i be a(-5). Suppose i = -2*q - q. Suppose 3*b - 3*d - 21 = 0, 3*d = 5*b - d - 32. Put q, 2, b in descending order.\nAnswer: b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -2*p + i, 2*p - 2*i + 15 = 55. Suppose f - p = -6. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3388.943 decades to millennia.\nAnswer: 33.88943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/40 - ((-15)\/4)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 193 + 35. Let d be 4\/10 - r\/(-30). List the prime factors of d\/3*54\/24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*m - 17*m - 225 = 12*m. Let n(y) be the second derivative of 0 + 5\/12*y**4 + 2*y + 0*y**2 + 0*y**m. Let a(f) = 3*f**2. Determine n(a(s)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -450 - -455. Suppose -v*p - 3*i = -2931, 12*p + 5*i - 2935 = 7*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -1.892  (c) -10  (d) -0.5  (e) 129.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1100372 - -3?\nAnswer: 1100375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 8*q**2 + 3. Let u be i(6). Let l be (-20)\/u*(-15)\/(-18). Which is the smallest value?  (a) l  (b) -0.2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 + (-304)\/40)\/((-4)\/10). Solve 0 = -3*w, -v*l - 4*w - 2 = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*0\/((-1140)\/(-15))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26099 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -949356.063 + 948906. Let k = b - -435.06351. Let g = 15 + k. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -6.4, 3\/7, -2\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i - 17. Let g be s(-11). Solve 0 = 3*n - 2 + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -46 - -2546?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 198883 by -17.\nAnswer: -11699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*w**2 - 38*w**2 + 2 + 203*w - 203*w + 65*w**2.\nAnswer: 156*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 times -321387?\nAnswer: 14783802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -33*t + 223764. List the prime factors of t.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c - 13. Let f be w(3). Let x be (-1 + (-22)\/f)*232915\/74. Is (2 + 0)\/(6\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*q + 78*q + 30*q**2 + 5*q**2 - 39*q.\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 + (-78)\/16)\/3. Let v(i) be the third derivative of -y*i**4 + 0 + 0*i**3 + 0*i - 4*i**2. Let t(l) = -1. Give -t(b) + v(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -5*p + 5, -4*j - 10 = -3*p + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1635 (base 7) to base 12.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 645\/43 - (12 + -1). Let q(v) be the first derivative of -3*v**2 + 3\/2*v**c + 0*v + 13 + 0*v**3. What is the second derivative of q(f) wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22354086*a - 7020302?\nAnswer: 22354086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -44 + 46. Suppose -w - 4*d = -18, -5*w + c*d + 24 = -4*w. Find the third derivative of -w*b**2 + 64*b - 64*b - 8*b**6 wrt b.\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {p: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 20 - 28. Let w(r) = -r**3 - r**2 - r + 14. Let h be w(0). Solve -3*g - 1 + 4 = 3*o, -h = 2*o - p*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*q - 1792 = -86*q. Let b = 787 - q. List the prime factors of b.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9458943967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 + 32 - (-6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of z**5 + 1765393*z**4 + 2554063*z**2 wrt z.\nAnswer: 60*z**2 + 42369432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1599 times 0.4?\nAnswer: -0.06396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfugrqggg. What is prob of picking 1 g and 1 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4821979315 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -89.\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 97 - 55. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2708916 and 714?\nAnswer: 2708916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**3*l*u**2 + 15*g**3*l*u - 2*g**3*u**3 - 4*g**2*l*u**3 - 5*g**2*l*u + g*u**3 - 5*g wrt g.\nAnswer: 6*l*u**2 + 90*l*u - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = 17*n + 100 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -13.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 809 = 4*h + 81. Let t = h + -153. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -46*p**2. Let r(j) = -146*j + 4. Determine z(r(v)).\nAnswer: -980536*v**2 + 53728*v - 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1600) - 2*sqrt(1600) - sqrt(16))*4)\/(sqrt(40)\/(sqrt(180) - (1*sqrt(180) - sqrt(180) - sqrt(180))))*2.\nAnswer: -1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - -2)*15\/10. Suppose -g*s + 2 = -1, -4*r + 5*s - 5 = 0. Let c be r - (5 - (4 + -1)). Sort -5, -3, c.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 183 + -199 + -76 + 28 + 1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 147, 314, 549, 852?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(2\/55)*a*a)\/a*a*(a*a**(-3\/23)*a)\/a)**23)**25 assuming a is positive.\nAnswer: a**(24705\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-57)\/95)\/(1\/5). List the prime factors of (-28 - 0)\/(j\/6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + x**2 + x. Let f(l) = 29*l**3 + 3*l**2 + 3*l. Give f(m) - 3*y(m).\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26868\/7 - -3838. What is the nearest to 0 in -5, 0.13, p, -2\/9?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -276*d = -284*d - u - 16, -2*d = 4*u + 34 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 8*w**2 - 6*w - 13. Let p be z(9). Let o(h) = h - 9. Let g be o(p). Find the third derivative of 3*k**5 - 3*k**5 - 5*k**2 + 3*k**g wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 86 and -5.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {y: 1, i: 1, r: 1, w: 2, c: 2, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d + 16 = -2*j, -4*d = 3*j - 16. Suppose 6 = -2*b + 5*z, -2 = d*b - 5*z + 10. What is the third biggest value in b, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 0, -7, -26, -63, -124, -215, -342?\n\"Answer: -k**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rceteceeeccccc. What is prob of picking 1 t and 1 e?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2933 and -4.\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62823186464116 - 62823180390783.6399946. Let s = b - 6073333. Let k = s - -0.64. What is k rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 8) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217963.\nAnswer: 211, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000324 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1053896?\nAnswer: 2, 103, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 232 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**2 + 9*w - 3. Let t be o(-5). Suppose 0 = -5*d + 4*d + t. Find the second derivative of -4*b - 4*b - 4*b**d - b**2 + 4*b**2 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58602 greater than or equal to 58601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 8*q**2 - 9*q + 4. Let l be h(7). Let j be 599\/1 - (-11 - l). Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3)\/(s\/s**1*s*s)*s**(3\/8)\/(s**(-2)\/s) assuming s is positive.\nAnswer: s**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = -0 - 16. Suppose 4*x = -6*u + f*u + 40, 2*x - 6 = 0. Does 28 divide -2 + 0 - (u + -233)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 9:14 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 74 + -74.00000263. Round i to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -70 in 1\/5, -3, -1, -3.1, -4, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 389 divide 1139628404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/((-42)\/7))\/((-2)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2392 - 2390.6824. Round k to two dps.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 13*o**2. Let c(m) be the third derivative of -m**6\/360 - 5*m**3\/2 + 9*m**2. Let n(r) be the first derivative of c(r). Determine n(a(b)).\nAnswer: -169*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 14*m + 105. Calculate b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 464 (base 9) to base 4.\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -1\/2*z**4 + 0*z**3 - 3 + 0*z + 2*z**2. Find the second derivative of f(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15*(-196)\/(-118335)*(-14)\/(-12)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1.5  (b) -58  (c) -2.6  (d) -3\/8  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 80 - 12792\/161. Let j = m + -6\/23. Factor 8\/7*a**2 + 0 - 12\/7*a**3 + 8\/7*a**4 - 2\/7*a**5 - j*a.\nAnswer: -2*a*(a - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 43290000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 117 - 108. Suppose -116 = -11*y + g*y. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 7844 - 9104 = k, 0 = -q - 3*k + 4237. Suppose -q + 13637 = z. Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l + 8. Let o be j(-5). Suppose -3*s + 0*s = o. Is 18\/(-2)*4*s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1561200 (base 7) to base 5\nAnswer: -23412111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 1  (b) -19\/3  (c) -0.2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*s**3 + 4*s - 4*s)*(1 - 4 + 5) - 2*s**3 + 0*s**3 + 5*s**3 to the form c*s**2 + f + o*s**3 + j*s and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mdpdmdm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/48 and -59\/368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 14*g**5\/5 - 100*g**4 + 4546*g**3\/5 - 572*g**2 - 240*g = 0.\nAnswer: -2\/7, 0, 1, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {x: 5, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 578, -5 in ascending order.\nAnswer: -5, -2, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -92*13\/(-156)*6. Suppose -8*t - f + 141 = -3*t, 5*f + 20 = 0. Let l = t + -6. Calculate the highest common divisor of n and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7611.454 millennia to years.\nAnswer: 7611454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1048139?\nAnswer: 1048139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -123  (b) 2\/3083  (c) -12\/11  (d) -4  (e) -0.3  (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 565, 6\/23, 1.18, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000159609 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*y + 30 = 0, -5*d + 76 = -2*y + 47. Let w(f) = -f**3 + 6*f**2 + 14*f - 33. Give w(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 11*k - 50. Solve -4*b + 1 - 5 = -2*t, k*b = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -2. Suppose -4*d + d + 2*r + 32 = 0, l*r = 15. What are the prime factors of 35\/d*2*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*2 - (-1)\/((-2)\/92). Let l = z - -134. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l. Let h(v) = -2 - 21*v + 27*v + 2. What is g(h(f))?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -643 + 6606*y - 12165*y + 6263*y wrt y?\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 455181633.\nAnswer: 3, 16858579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -660, -432, -218, -24, 144, 280, 378, 432?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 2*w - 4, 4*j + 4*w - 9 = 3*w. Let v = 5 + j. Let s(i) = -i**3 + 8*i**2 - 3*i - 5. Does 14 divide s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8647 + -4764. What are the prime factors of u?\nAnswer: 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 437.9743mg to nanograms.\nAnswer: 437974300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - 3.7. Let i be (2\/(-12))\/((-2)\/3). Which is the nearest to -1\/4?  (a) 1  (b) x  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 589\/18 - 27145\/126. Let x = -183 - k. Suppose -o - o = -10. Put 1\/4, o, x in descending order.\nAnswer: o, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272*o + 212*o - 270*o - 28248 = 0 for o.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 389099670.\nAnswer: 2, 3, 5, 19, 29, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4096 and 502810624?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 173229.\nAnswer: 1\/173229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*w = 4*m - 98*w - 8, 3*m - 5*w = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 5*z + 2*n + 16, -2*z + 16 = -4*n. Let w(c) = -9*c - 12 + 12*c - 9*c**z + c**3 + 0*c**2 + 9*c. Is w(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -758 + 765. Sort 2, l, 15.\nAnswer: 2, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 419013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*a - 1 + 7, 4*n - 5*a = -2. Factor -12 + 12 + 3*s**4 - 5*s**4 + 2*s**n + 4*s**3 - 4*s.\nAnswer: -2*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4905 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2018 divide 4459780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q**4 - 14*q**4 - 18*q**4)*(-4 - 2*q + 4 - 2 + 2*q + 2 + (-1 + 0 + 2)*(-2*q - q + 2*q) + (-2*q - 1 + 1)*(3 + 1 - 3)).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.05419ug in tonnes?\nAnswer: 0.00000000000305419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*7*3\/42\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -470 + 291. Let q = z + 181. Solve -a - 4*n = 17, 2*a + q*a = 4*n + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of y**4\/2 + y**3 - 3*y**2\/2 + 2*y + 93. Give r(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 8154676?\nAnswer: -8154676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000036348 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2220 and 135290685.\nAnswer: 541162740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (31\/(-2))\/((-3)\/(-6)). Which is the third biggest value?  (a) -2  (b) f  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2393*p**2\/6 + 398*p - 5\/6.\nAnswer: (p + 1)*(2393*p - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b. Let x be u(-5). Let c be (0\/1)\/(30\/x). Let z(h) = -h**3 + 7. Let j be z(c). Is j less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202954009?\nAnswer: 6661, 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6.9 in 198, 0.83, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 855.1905cm to kilometers.\nAnswer: 0.008551905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36343636 + -112?\nAnswer: -36343750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15951733 is divided by 5056.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bd - 1aa6b?\nAnswer: -1a99d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -138 - -545\/4. Let j = 1.4 - 1.4. Let m be (-6)\/24 + 0\/(-3). Which is the closest to j?  (a) r  (b) 2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10342 + 4?\nAnswer: -10334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7505.\nAnswer: 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (270\/(-351))\/(10\/(-52)). Let g be (1 + -1 + 0)\/(-1). Suppose -4*t = -2*t + 10. Put g, t, c, -4 in decreasing order.\nAnswer: c, g, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/451 or 0?\nAnswer: -1\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-2\/3)\/r*r)**(2\/11)\/(r*r**(-1))**39 assuming r is positive.\nAnswer: r**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o**3 - 2*o**2 - 4*o + 1. Let r = -11 - -8. Let d be w(r). Suppose -g - g = -d. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + 0)*(-3)\/6. Let y = 1\/2482 - 5055\/225862. Are r and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 352083964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*p + 16*p + 90. Let b be ((-18)\/p)\/((-3)\/15). Suppose 3*n - 4*z + 7 = 0, 5*n + 7*z + b = 5*z. Which is greater: -0.7 or n?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5422 (base 8) in base 12?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20.2 + -19.959. Let x = 0.151 - g. What is the nearest to 1\/3 in -3\/2, 3\/7, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16356736 and 14080?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*k - 248 - 1864 = 0. Solve 0 = 67*d - k*d + 270 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -2*c**3\/3 - c**2\/2 + 2*c - 1. Let x(q) = -2*q**2 - 2*q + 2. Let g(o) = -6*l(o) + 5*x(o). What is the tens digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8*m + 40*m + 3 - 14*m - 14*m. Let w(s) = 3*s + 2. Calculate -2*j(d) + 3*w(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4262*v - 157*v**2 - 4262*v.\nAnswer: -157*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r = 14*r - 49 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-365 - 6) + (1 - -1). Let n = y - -2669\/7. Are 13 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 667.47, -5.\nAnswer: -5, -0.3, 667.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -0.06  (c) 142.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6013256*h*u**3 + 2*h - 42917*u**3 + 6*u wrt h?\nAnswer: 6013256*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2041181349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 175, 590, 1203, 2008, 2999, 4170?\n\"Answer: -r**3 + 105*r**2 + 107*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 93419080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2631.0431 rounded to the nearest ten?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5442 + 12512. Let q = i + -12813. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((5220\/(-8))\/9)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of j**3\/3 - j**2 - 4*j + 2. Let q be n(-3). Calculate the greatest common factor of q and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 10*b - 19. Calculate the remainder when 3 is divided by g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2161520, -4323042, -6484564, -8646086, -10807608?\n\"Answer: -2161522*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -f (base 16) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 c, and 2 s when four letters picked without replacement from usucbsucrcssuccc?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of 7*i**6\/8 + 5*i**4\/8 - 5*i**2 + 2*i. What is the second derivative of o(g) wrt g?\nAnswer: 630*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -38, -3, 8, -1335 in increasing order.\nAnswer: -1335, -38, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -10356.21.\nAnswer: -10358.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z. Let p(j) = 1893 + j**2 - 1893. Give d(p(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 110 + 13. Suppose -r = 2*t - 3*t - 5*z, 5*t - 515 = -5*z. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 34885\/24*(2076\/(-1035) + 2). Let s = 75\/92 + h. Find the common denominator of s and 79\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1010*p - 5*u - 5 = 1015*p, 0 = -33*p + u - 169 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -13264950 divided by -6632475\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b**2 - 6*b + 20. Let a = -27 - -32. What is the remainder when t(a) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 - 217322*i + 3476640.\nAnswer: 2*(i - 108645)*(i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 374206386 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 21*a**2 + 20*a - 10. Calculate g(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10*2\/20*5. What is the hundreds digit of 15\/6*246\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -949*h**2*v**3 - 396*h**2*v**2 + 3*h**2 + 19*h*v**3 + 2*h*v**2 + 5*v**3 + 92*v + 2 wrt v?\nAnswer: -5694*h**2 + 114*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 520 + -2145\/4. What is the common denominator of ((-172)\/30)\/(12\/(-15)) and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -3\/2, 0.9, 1, 42497 in descending order.\nAnswer: 42497, 1, 0.9, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -145 + 454031524?\nAnswer: 454031335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bccuebnencbenebccbcz. What is prob of sequence nzn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.1 - 27. Let f = 64 - 64.7. Let k = f + i. What is the biggest value in 0.1, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 4 = h. Suppose -7*g + 397 = -3*g + d, -h*g = 5*d - 401. Suppose -w + g = 3*b + 2*w, -2*b + 31 = -5*w. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1098)\/(-486)*9 + (-6)\/(-9). Solve w*o = -17*o + 152 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12\/109, -5\/22, -4, -0.2, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*v - 2*v + 2*v)*(-2 + 2 + 2) + 2*v + 3*v - 4*v + v + 2*v - v in the form l*v + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**4\/4 + m**3\/6 + 516*m**2. Let y(s) = 10*s. Give g(y(h)).\nAnswer: -60*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -499*h**4\/4 + 2*h**3\/3 - 10*h**2 + 253*h. Find the second derivative of t(l) wrt l.\nAnswer: -2994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 + 2*h**2 - 2*h**2)*(0*h - 3*h**2 + 0*h) - 2*h**4 + h**4 + 0*h**4 + 1 + 11*h**4 - 1 - 16*h**4 + 0*h + 3*h**3 + 2*h + 19*h**4.\nAnswer: 7*h**4 + 3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5 + 0. Let o = -0.06 + 0.18. Let l be ((-2)\/85)\/(((-78)\/13)\/(-30)). Which is the third smallest value?  (a) o  (b) l  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 735617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -4. Let w be (c + (-32)\/18)*6. Suppose 0 = 5*x - 3*x - 2. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7060794 is divided by 230?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -542, -424, -306, -188, -70, 48?\n\"Answer: 118*r - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f + 25*d - 22*d - 8, 6 = 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1517*o + 500*o + 519*o + 500*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - 1. Let n = -31.8 + -133.2. Let j = n - -160. Which is the nearest to z?  (a) j  (b) 4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 26 = -y, w - 4*w - 119 = -4*y. Let r = 62 - y. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96693 is divided by 96188.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/5 - 56\/(-10). Let m(o) = -o - 1. Let i(x) = -9*x. Let z(j) = -i(j) + 2*m(j). List the prime factors of z(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 12.5. What is the closest to 1 in -2, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 234 + -231. Suppose 5*b - 23 = -4*o, -b + 44 = 4*b - u*o. Let q(p) = -7*p**2 + p + 8. Let k(r) = -8*r**2 + r + 9. Give b*q(t) - 6*k(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 598035 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 2668?\nAnswer: 1\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10816 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -2*v**5\/5 + 97*v**3\/3 + 124*v - 139. Find the first derivative of u(l) wrt l.\nAnswer: -8*l**3 + 194*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -28  (b) 4  (c) -1\/7  (d) -1\/8  (e) -0.1  (f) -0.0276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 13*r**2 + 30*r + 24. Let u be (-11*(-2)\/6 - 3)\/(289\/(-4335)). What is d(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + -1*sqrt(1100) + 0)*-5 - (4 + -6*(sqrt(1100) + (sqrt(1100) + -1)*2 + sqrt(1100))))*4)**2.\nAnswer: -102080*sqrt(11) + 14803536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*z + 135*z = 308*z + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.024 and -1?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -0.3, 5, -1, -2\/7, -29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 68503*m**2 - 54*m - 42. Is p(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqpqppqq. What is prob of picking 2 q?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 3:28 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94523 is divided by 680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 1458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69377141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1469885415 + 29*b - 1469885415.\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.64675 centuries to years.\nAnswer: 464.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 6*t**3 + t**2 + 2 - 2 + 0 to m*t**2 + c*t + s*t**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 + -20 - 32 - ((-22 - -11) + -2).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -310\/121407?\nAnswer: -310\/121407","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 9*m**2 + 6*m - 8. Let y be i(-6). Suppose 71 = -3*c - y. What is the remainder when -2 + (-1 - c) + 3 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*b**3*k + 3*b**3*m**2 - b**3*m + 7466*b*k*m**2 - 18*b*k - b*m wrt m.\nAnswer: 6*b**3 + 14932*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 4, -1\/338, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-20) - 36\/10) + -1. Let q be (-24)\/f*45\/18. Let j be 37 + 9\/q + (-20)\/(-16). What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 7850, 32910, 75166, 134624, 211290?\n\"Answer: f**3 + 8592*f**2 - 723*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17448852886.72909235 + 342.27090765. Let w = l + -17448853300.99999961. Let a = w + 72. Round a to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/139146 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 2*t - 10*t. Let u(h) = 5*h**t + 9*h**3 + 5*h**3 - 5*h**2 + 4*h - 20*h**3. Determine u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from nnjbnnnanakbjbknanfn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(147))**2 + -2 + (3*sqrt(147)*-1)**2.\nAnswer: -28*sqrt(3) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1865987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 0*m - 2*m**2 + 0 + 2\/3*m**3 + 1\/24*m**4. Let s be 0\/(-12 + 8)*-1. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.4, -32.23, -2630?\nAnswer: -2630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of -k**4\/4 - 3*k**3\/2 + 14*k**2. Let s be q(4). Let x = s + 37. What is the smallest common multiple of x and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**2 - 31*c - 82. Determine x(-12).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 26*g + 167. What is the closest to 2 in -0.5, 1\/3, 0.3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3\/25601 - 31873251\/51202. Let o = x + 639. Calculate the common denominator of o and (-3)\/2 - (-2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.8 - -6.9. Let u = -0.0106 - 2.7854. Let n = u - y. Round n to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4929726 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/10 - -1)*5. Suppose 4*f - 7 = 5. Suppose -k - 5*d = -f*k + 21, 0 = 5*k - 5*d - 15. Sort 2, g, k in descending order.\nAnswer: g, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231231 - 3493.8?\nAnswer: 1227737.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2 - 4 - 10*v + 1 + 7*v. Determine t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 8*g + 2*w = 6, 11 = 4*g - 5*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19452, -19544, -19638, -19734, -19832, -19932, -20034?\nAnswer: -20138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25188 or 25189?\nAnswer: 25188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 18 - 22 = 2*i, 2 = 3*l - i. Solve -x + l*x - 6 = -g, 0 = g - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*g + 19*g + 2790 = 0 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5470026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 30. Let y = 28 - a. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 5 + 229*j - 22 to s + l*j and give l.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 538325?\nAnswer: 5, 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -605374056 by 5711076.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -223560 (base 7) in base 16?\nAnswer: -9b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-7) + ((-2653)\/(-49) - -5). Suppose -7*l + g = 3*p - 2*l, 5*l = 4*p - 67. Solve -w + 7*w = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 3*p - 51 = 0. Let l(i) = -3*i**3 + 32*i**2 + 21*i - 32. Let b(x) = x**3 - 11*x**2 - 7*x + 11. Let r(t) = p*b(t) + 6*l(t). Is r(5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39312 - 591913\/15. Let v = i + 149. Let r = 4.84 + -4.34. Which is the nearest to 0?  (a) v  (b) r  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 15 = -18*c + 15*c, 39 = 5*c + 7*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-6)*105\/(-35). What is the smallest value in -85, -1, n, 3?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1809*a**3 + 1531*a.\nAnswer: 10854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {t: 1, y: 14, m: 5}?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 13266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 971172418.\nAnswer: 2, 485586209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: a75a (base 13) to base 14\nAnswer: 8672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14100592 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 114300453 from -5.47.\nAnswer: -114300458.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + h + 8 = s, -3*s + 5*h = 0. Suppose s*k + 187 = 4*k. Let j = k + 2989\/16. Find the common denominator of j and 55\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o - 13. What is a(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 13901, 55619, 125149, 222491, 347645, 500611?\n\"Answer: 13906*c**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 3*t**3 - 7869*t**2 - 7872*t = 0.\nAnswer: -1, 0, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.15 in -0.5, -12\/29, -32\/13?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a = 4*t + 7*a - 23796, 5*a = 15. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 625264585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuouuuou. Give prob of picking 1 o and 2 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1726005.\nAnswer: 3, 5, 115067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -o**7\/840 + o**5\/120 - o**3\/24 + o**2 - 4*o. Let h(b) be the first derivative of u(b). Find w, given that h(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99155601703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2184 + -151a?\nAnswer: b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence edd when three letters picked without replacement from {a: 1, y: 2, g: 12, e: 2, d: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13  (b) -25  (c) -2  (d) -1500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24144781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, g: 2, v: 2, q: 1, l: 1}. Give prob of picking 1 o and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ujga when four letters picked without replacement from hgguhuagujghjghu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90992080?\nAnswer: 2, 5, 239, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(75\/10))\/(90\/(-9))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**5 - t**4 + t**2 - t + 1. Let y(o) = 5*o**5 - 8*o**4 + 8*o**2 - 5*o + 2. Let k(f) = -2*v(f) + y(f). Determine x, given that k(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*0.0814\nAnswer: 0.2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(77) + (2*sqrt(77) - sqrt(77)))*-2 + sqrt(77) + sqrt(77))*-2)\/(4*sqrt(686)\/sqrt(2)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12192414 + 12192414 - 4*m**2 + 0*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10919 - -65657\/6. Suppose 1\/6*q**3 + p*q - 169\/6 + 25\/6*q**2 = 0. Calculate q.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80 and 992.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 12*l**2 - 17*l - 11. What is the tens digit of f(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqeqqqqqqqeqeqqqeqq.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 25*r**7\/14 - r**3\/3 + 56*r**2 - 13*r + 2. What is the second derivative of z(v) wrt v?\nAnswer: 1500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -6*h - 28. Let j = h + 24. Calculate the remainder when 34 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 696 and 1508?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 191794751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -190 + 202. Let p be 32\/12*v\/32*4. Solve -2*i + 3 = -5*r, 0*i + 5*r = i - p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 138.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-15) - (441\/45 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, n: 2, e: 4}. What is prob of picking 2 n and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*m**2\/11 - 26098*m\/11 + 6524\/11.\nAnswer: 2*(m - 3262)*(4*m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -195, -295, -397, -501?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, m: 19}. What is prob of sequence mm?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/12)\/(15\/45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 1\/3, 2.77, -0.784?\nAnswer: -0.784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 4, 1, -40, -1, -3 in ascending order.\nAnswer: -40, -26, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 143d9e6 - -1?\nAnswer: 143d9e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkrkkkkkrklkkke. Give prob of sequence re.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -118998170 divided by 5\nAnswer: -23799634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + y**2 + 2*y. Let v be r(2). Solve -4*l = 4 - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53716664 to the power of 1\/2, to the nearest integer?\nAnswer: 7329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 226087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, r: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*j, -16 = w + 4*j - 41. What is the remainder when w is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7128 is divided by 237?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*a + 9*a - 4*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5504817397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*d - 37 + 272, -5*b + 2*d - 1211 = 0. Let w = b + 457. Calculate the highest common divisor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234736?\nAnswer: 2, 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2468 + 4126. Is v a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.27 + 885.03\nAnswer: 884.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*f - 21. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(171) - (1 + sqrt(171) + 0)**2).\nAnswer: -174 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 132 + -26. What are the prime factors of -1*(-1)\/2*i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000083406891 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -19*q**3\/3 + q**2 + 2*q + 2393. Let k(m) = -171*m**2 + 19*m + 19. Determine 4*k(j) - 38*n(j).\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 390*t - 396*t = -782*t + 25, 20 = 4*t for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15915 take away -0.35?\nAnswer: 15915.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2 + 8194782*d + 5596204335627 = 0 for d.\nAnswer: -1365797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3128 and 10582024.\nAnswer: 10582024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/4 + 5949229*w**2.\nAnswer: w**2*(w + 23796916)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -504, 4, -4 in decreasing order.\nAnswer: 4, -4, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1025*b**3 - 8383*b**2 wrt b.\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3549238141?\nAnswer: 167, 251, 84673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kcex when four letters picked without replacement from {e: 3, k: 3, p: 6, c: 2, x: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -1 + 2*x**3 - x**2 + 0*x**2 - x**3 + x. Let h be n(1). Let g be h\/3 - 1*-4. Solve 3*f = g*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1426176 divided by 1\nAnswer: -1426176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 78659*h**3 + 3120*h.\nAnswer: 471954*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (53 - 31) + -8 + (-7 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g = 4*j - 18, -g + 0*j = 3*j - 269485 + 269491 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (12\/(-15))\/(1\/15). Let j be (2*-3)\/((-3)\/(-12)). Let y = d - j. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*a = -116*a + 2*g - 104, -2*g = -3*a + 161. Calculate the remainder when 221 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3834.031 and -1.7.\nAnswer: 3832.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 116497393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -338 + 328. Calculate the remainder when 195 is divided by (d\/4 + 3)\/(13\/234).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 3*1180\/(-120)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40080, -40067, -40046, -40017, -39980, -39935?\nAnswer: -39882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2189996*j**2*o + 1214826*j**2 + 4*o - 77 wrt o.\nAnswer: -2189996*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (6\/((3570\/(-17))\/35))\/((-10)\/(-18))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -4, 2\/13, 2, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*p - 328*p - 45752 = 138*p for p.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: b\"What is the jth term of 42956, 85913, 128866, 171815, 214760, 257701, 300638?\n\"Answer: -2*j**2 + 42963*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/((-14)\/(-7))*(-128)\/2048.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22 * -0.2.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 102.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1011)\/(-7) - 81\/189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2619262 - 294738. What is k rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k + 8. Suppose 0 = 5*c - 14 - 1. Let a(w) = -4*w - 7. Let u be 2 + -2 - (-11 + 13 + -6). Determine c*o(p) + u*a(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/12 and 109\/2*2*2\/(-36)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5 = -11. Let k(n) = n + 4. Let c be k(-2). Calculate the lowest common multiple of 6 - ((3 - b) + -4 - c) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147*w**2 - 216*w + 216*w - 87*w**2.\nAnswer: -234*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2, 3\/4, 0.53, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3035*b*v**4 - 15*b*v**2 + 170115*b wrt v?\nAnswer: -12140*b*v**3 - 30*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11813, 11856, 11885, 11894, 11877?\n\"Answer: -c**3 - c**2 + 53*c + 11762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from sssshsshhsh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 118*q - 593. Let o be n(5). Suppose -p + 3*p = -3*z + 3, 5*p = 2*z - 2. Let v = p - -4. Sort o, v, 2 in increasing order.\nAnswer: o, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00345233636 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 727*h**5 + 2*h**2 + 0*h**2 + 14*h - 818*h**5 wrt h?\nAnswer: -5460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 13749*d**2 + 17*d + 168. Let x be f(24). What is x rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 7 + 2*q + 17 + 54 to the form g*q + m and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) - (sqrt(500)*2 - sqrt(5)) - (((sqrt(5) - 5*sqrt(125)) + sqrt(5))**2 - sqrt(5)) - (-6*-2*sqrt(5445))**2.\nAnswer: -786725 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*t = -61*t - 4*d - 40, 74 = -5*t + d. Sort -4, 2, -3, t, 20 in descending order.\nAnswer: 20, 2, -3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 divided by -70858?\nAnswer: -11\/35429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 6, -1\/2, -2.\nAnswer: -2, -4\/3, -1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, t: 1, l: 1, c: 2, h: 1}. What is prob of picking 1 t and 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -4*o - h - 30, 46 = 3*o - 2*h. Solve -2*t - o = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (178 - 100 + 186)*(2*k - 2 + 2) as t*k + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (250 + 208 + 241)*(8*a**3 - 6*a**3 + 10*a**3).\nAnswer: 8388*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*k**2 - 13*k + 2.\nAnswer: (k - 1)*(11*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 809545?\nAnswer: 5, 11, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 40 + -6 + (0 + 20\/4 - -4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*o**3 - 28*o**2 - 12*o.\nAnswer: -4*o*(o + 1)*(4*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 + 2*a**2 + (21*a + 64*a - 27*a)*(2*a + 0*a + 2*a) to the form h*a + w + p*a**2 and give p.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 151 = 194. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 36. Let h = k + -22. Let g(y) = -16*y. Let z(d) = -5*d. Calculate h*z(r) - 3*g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4023983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 + -29. Let m(c) = -37 - c + 4*c**3 + 39 + 0*c**2 - 2*c**2. Let x be m(z). Solve 0 = -3*g - x*j - 21, g - 4*g = -5*j - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -58, -24633, -4, -5 in ascending order.\nAnswer: -24633, -58, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -17, -1, 17, 37, 59, 83?\n\"Answer: l**2 + 13*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 374823 = 5241*v - 5232*v. What are the prime factors of v?\nAnswer: 41647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/35  (b) 476  (c) 2\/5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 2. Suppose 2*u - 4*u = -16. Suppose u = -4*w - 8. Determine b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-3)*-1)\/(2\/14). Let q(p) = -17*p + 21. Let f be q(n). What is the highest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 310 = -314. Calculate the smallest common multiple of z and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 4*l - 5*l)*(-60*l + 9 - 7 - 70*l).\nAnswer: -130*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -398*n + 60. Let c be v(6). What is the tens digit of c\/(-18) + 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3330758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30273248 + -30273247.83299869. Let a = -0.43 - -0.263. Let x = a + k. What is x rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283 = -2*j - 15. Suppose j = 4*w - 3*a, 2*w - 14 = 5*a + 60. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 443645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5063273411.6506822 - -5063384328. Let v = j + -111092.3493. Let y = v + 176. What is y rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98, -171, -232, -275, -294, -283, -236, -147?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26\/39*18186690\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180*k**3 + 78*k + 2460*k**2 - 104*k**3 - 2460*k**2 - 78*k - 82*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 0*y**3 + 4*y**2 + 5 + 4*y**2 - y**3. Let t be j(8). Suppose -5*g - 10 = 5*f, 5*g - 4*f = 1 - 29. Put g, t, 1 in increasing order.\nAnswer: g, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1292.6 - 1292. What is the smallest value in 1, q, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 209553*x + 165317 wrt x?\nAnswer: 209553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**3 + y**3 + 0*y**3)*(23*y**2 - 30*y**2 - 32*y**2) + (-4*y - 3*y + 6*y)*(2*y**4 - 6*y**4 + 3*y**4) + (0 + 1 - 2)*(-y**3 + 2*y**5 + y**3).\nAnswer: -40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 599760 divided by 9?\nAnswer: 66640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/42 and 74\/4228341.\nAnswer: 59196774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -2*r + 3*q, 25 = -q + 6*q. Is (r\/4)\/((-8)\/(-656)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2921, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1118 = -4*u + 2*b + 2106, -5*b + 446 = 2*u. Calculate the highest common divisor of u and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -306, -521, -1030, -1983, -3530, -5821, -9006, -13235?\n\"Answer: -25*y**3 + 3*y**2 - 49*y - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 1 = -i. Let p(d) = 374*d**3 + 226*d**2 + 45*d + 2. Let c(y) = -y**3 + y**2 - 1. Let u(t) = i*c(t) + p(t). Factor u(w).\nAnswer: 3*(5*w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j - 20*j + 468 = 230 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*g + 24, x = -5*g - 19. Suppose -m - 2 = x. Put m, 10, -5 in ascending order.\nAnswer: -5, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28 + -26. Let f = 2.03 - z. Let s = -4.03 + f. Put 1, s, 5\/3 in increasing order.\nAnswer: s, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40979742809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1007*v**2 - 21*v**3 + 20*v**3 - 1007*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 7*x**2 - 8*x + 14. Let p(f) = f**2 + 2*f + 6. Let s be p(0). Let j be c(s). What is the smallest value in j, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0543741585 to 5 dps.\nAnswer: -0.05437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 70 - 70.58. Let n = d + -0.02. Let k = -137.5 + 138. Put n, k, 2 in ascending order.\nAnswer: n, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90158752427 - -2.\nAnswer: -90158752425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 86*t**3 - 12*t - 13. Let a(b) = -87*b**3 + 15*b + 16. What is 4*a(u) + 5*q(u)?\nAnswer: 82*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (31641\/9)\/(4\/24 + 0). Let c = 5803 + j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3247 and 10319.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + c - 2)*(-c**2 + c**3 + c**2) - c**4 - 3*c**4 + 5*c**4 + c**4 + 2*c**2 - 2*c**2 + (3*c**4 + 4*c**4 - 5*c**4)*(-1 - 1 + 0) + 0*c**4 + 0*c**4 - c**4.\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(8\/3)\/(x\/x**(-15)))**(-1\/7)\/((x\/((x*x**(-2\/17)*x*x)\/x))\/(x*(((x*((x**(-5)*x)\/x)\/x*x)\/x)\/x)\/x*x)*x**5\/(((x\/x**(-5\/4))\/x)\/x)) assuming x is positive.\nAnswer: x**(-9943\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l - 14*l**3 - 13*l**3 - 6*l**4 + 36*l**3.\nAnswer: -3*l*(l - 1)**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -949847, -949846, -949845, -949844, -949843, -949842?\nAnswer: -949841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from sasrssssaaa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 22*x**2 - 35*x - 27. Let s be f(-23). Let q = s - -1530. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 6*k**2 + 8*k - 3. Let p be j(5). Suppose 3*d - p = -0*d. Let b be 0\/4*d\/(-8). Solve -2 = -u - b*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 4*q - 15. Let s(v) = 8*v**2 + 9*v + 15. What is the units digit of s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -144518 * 108.\nAnswer: -15607944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*x - 30*x + 3*x)*(-x + x - x) + (69*x - 13*x - 3*x)*(0*x + x - 3*x).\nAnswer: -89*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 4, 21047 in increasing order.\nAnswer: -2, 1, 4, 21047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**3 - 4*s**3 + s**3 + (6*s**2 - 3*s**2 + 2*s**2 + (-s - 2*s - s)*(0*s - 4*s + 3*s))*(-s + 9*s + 0*s).\nAnswer: 73*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*m**4 + 55*m**3 - 75*m**2 + 45*m - 10.\nAnswer: -5*(m - 1)**3*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 30611584439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9181.744 rounded to the nearest 10?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0329604431 rounded to six decimal places?\nAnswer: -0.03296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8675, -0.3, 4, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.8524964 millimeters?\nAnswer: 852.4964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -703, -668, -631, -592, -551, -508?\n\"Answer: f**2 + 32*f - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36 - 5*n + 38 - 3*n)*(6 - 2 + 0).\nAnswer: -32*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 5*r + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**4\/8 - u**3 - 3*u**2. Calculate the remainder when 61 is divided by t(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17447 is divided by 1453?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 277244 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -47*y - 173. Let s be t(-4). Let l = 65 + -456\/7. Sort s, l, -1 in decreasing order.\nAnswer: s, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -90, -173, -260, -357, -470, -605, -768, -965?\n\"Answer: -y**3 + 4*y**2 - 88*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6884, 6713, 6536, 6353, 6164, 5969?\nAnswer: 5768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1362 or 1417?\nAnswer: 1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4241229.\nAnswer: 3, 113, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h - 3. Let l be d(-8). Suppose -l*r - 1618 = 182. Round r to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 135 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1077649*p*q**2 + 4*p + 56400*q wrt q?\nAnswer: 2155298*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11597\/4 - -2885. Find the common denominator of 161\/66 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 11296712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 8*v. Suppose r + 11 = w + 3*r, 3*r - 21 = -3*w. Let z(q) = 15*q**2 - w - 16*q**2 + 3. Calculate z(c(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-288)\/8)\/(-9) - 28\/8. Let b(s) be the second derivative of 7*s - f*s**4 + 0 + 0*s**2 + 0*s**3. Let g(o) = -2*o. Determine b(g(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cyj when three letters picked without replacement from {j: 1, c: 8, y: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 167*w**3*y**2 - 12*w**3*y - 2*w**2*y + 4*w*y**5 + 39*y wrt y?\nAnswer: 334*w**3 + 80*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-4)))**(-1\/6)*((((p*p*p**(-9))\/p)\/p*p)\/p)\/(((p\/p**(2\/17))\/p)\/p) assuming p is positive.\nAnswer: p**(-368\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -171 + 4*v**2 + 171 - 5*v + 3*v as j + l*v**2 + s*v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*j**4 - j**2 + j**2 + (5*j**2 + 2*j**3 - 5*j**2)*(-4 + 3*j + 4) - 4*j**4 + 0*j**4 + 2*j**4 + 3 - 3*j**4 - 3 + 5*j**2 + 2*j**4 - 5*j**2.\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -15*s + 109. Let m be r(6). Let n(f) = 4*f**2 + f + 1. Let z be n(-1). Solve -z*g - 3 = -m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 731, 739, 757, 791, 847, 931, 1049, 1207?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 16*d - 2. Let g be t(17). Suppose -11901 + 65166 = g*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/11 in -3\/4, -5, -2, 6\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n - 25. Let d be t(5). Let b = -29 - d. Find the third derivative of 2*p**3 + 11*p**2 + b*p**3 + 4*p**2 + 8*p**2 wrt p.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264515211.\nAnswer: 3, 29390579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 + 4*l + 6. Let k be b(-3). Let w = k - 8. Calculate the common denominator of -39\/16 and (w - 5) + 11\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 181*o**4\/4 - 5*o**3\/3 + 9*o**2\/2 - 8*o - 92. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, h: 5, d: 3}. What is prob of picking 1 h, 1 d, and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 213950017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*d + 32, 0*d + 4*f + 10 = 3*d. Suppose 2*t + d = m, 12 = 4*m - t + 9. Solve m + 2 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*x = -692, 511 = 5*n + 3*x - 1177. Suppose -j + 36 = -5*j. Let c be 2\/j + n\/(-90). What is the biggest value in -0.2, -3, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*q**4 - 1 + 1 - 123*q**4)*(-4*q - 7*q - 7*q).\nAnswer: 2772*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - q = -10. Suppose 0 = 4*u - 3*g - 88, 4*u = 8*u - q*g - 80. Suppose -y - 5*h - u = -2*y, 0 = 3*y + 3*h - 39. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**2 + 74*x + 5*x**2 - 15*x**2 in the form r*x + k*x**2 + l and give r.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 5510 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 3, -6 in descending order.\nAnswer: 27, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 664\/498*66\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 - 3*j - 2. Let s be v(2). Let y be 23\/6 + (-2)\/s. Solve 0 = 5*u - y*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21599 is divided by 2129.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 6:53 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-3) + (14248\/12)\/13. Let d = t + -71. What is the remainder when 32 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**1)**(-30)\/((i**18*i)\/i**0))**(-40) assuming i is positive.\nAnswer: i**760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -389.55733 to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14.81 - -0.19. Let c = k + -14.9. Is 1 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l = 152 + 76. Let k be ((-32)\/(-12))\/(-4*1\/l). Calculate the greatest common divisor of k and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -75, -285, -629, -1101, -1695, -2405, -3225?\n\"Answer: f**3 - 73*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2338.93136 - -2339. What is r rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5 + 3.5. Suppose 3*y - l + 2 = 0, -5*l = 3*y - y - 27. Let o = -2.8 + 3. Which is the nearest to y?  (a) p  (b) -0.1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 42\/12*(-3 - -5) - -4. Solve -u - u = -x + 7, 0 = u - 3*x + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 3*v - 12157 = -9*w - 12111, 4*v = -w - 1 - 1 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q - 4. Let m(n) = -3*n**2 - 3*n + 1. Let h(r) = 119*r**2 + 126*r - 42. Let t(x) = -h(x) - 42*m(x). Give t(k(j)).\nAnswer: 175*j**2 - 280*j + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1900)*-4)**2 + 0 - (2*(-2*sqrt(133) - sqrt(133)))\/((sqrt(70)*-1)\/sqrt(10)).\nAnswer: -6*sqrt(19) + 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3 = -5*j, 18 = 4*n + j - 6*j. Solve -x + n - 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-2 - 2\/2. Let d be -10*(3\/2)\/(-3). Sort o, d, 1 in descending order.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 15*a + 22. Calculate h(61).\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 86*-2.978\nAnswer: -256.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*(h\/((h\/(h*(h*h**(-34)\/h)\/h))\/h))\/h)\/h)\/h)\/(h\/(h\/(h**(-7)\/h))))\/(h**2)**(-2\/31) assuming h is positive.\nAnswer: h**(-833\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 76 = -80. Let g = 261\/5 - i. Let s = 0.1 - 0.1. What is the closest to -1\/3 in -0.1, g, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 275, 571, 869, 1169, 1471, 1775?\n\"Answer: g**2 + 293*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1315 + -1307. Let r(d) = -d**3 + 5*d**2 + 6*d + 2. Let i be r(6). Sort t, i, -4 in descending order.\nAnswer: t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948233682?\nAnswer: 2, 3, 11, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1014\/(-52))\/39*264\/(-108).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 126 - 120. Suppose -z - 4*p + 0*p + 35 = 0, -4*p = -4*z + 100. Calculate the remainder when z is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -441 + 866. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 302 + -585. Let y = i - -312. What is the second biggest value in -0.1, -1\/3, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 49*l**2 + 3*l + 2. Let u(r) = 2*r**2 - r. Calculate s(t) + 3*u(t).\nAnswer: -t**3 + 55*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/8, 2\/7, 2, 3, -0.04?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 0*w + 2*t + 11, -3*w + 9 = 2*t. Suppose 3*l + 0*l = -w*x + 110, l + 3*x - 42 = 0. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.18  (b) 3  (c) 0.03  (d) -0.4  (e) -2  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/29149910 and 117\/14.\nAnswer: 204049370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.3 + -1.34. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -121 - -130. What is the lowest common multiple of s and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 656 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-6))\/(12\/(-180))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/(g*g**(-1\/15)*g*g))*g\/g**(7\/2) assuming g is positive.\nAnswer: g**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6139 - 6141. Let w = 0.02 + -0.42. Which is the biggest value?  (a) k  (b) 0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 0, 2, -278 in increasing order.\nAnswer: -278, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 3)\/(((-24)\/20)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11*5*((-1098)\/(-1485))\/((-1)\/((-3)\/(-1)))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 266, 499, 696, 857?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 - -1.4. Let g be ((-82)\/(-1476))\/((-1)\/(-72)). Which is the closest to -0.05?  (a) x  (b) 0.3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = p - 18. Suppose 22 = 2*h + 4*m, -3*h + 4*m = 8*m - 35. What is the greatest common factor of p and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 13*k**3 + k**2 + 3*k - 2. Let j be v(1). Suppose 149 + 196 = j*g. Calculate the remainder when 65 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*z = -120 + 30, n - 82 = 3*z. Let m(w) = 2*w**3 + 44*w**2 - 39*w + 189. Let d be m(-23). Calculate the greatest common divisor of d and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24 - -21)\/(2 + -1). Let f be -2 + (2\/2 - -13). Suppose -f = 5*x + 8. Put 0, x, j in descending order.\nAnswer: 0, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + 4*c**2 + c. Let r be p(3). Suppose 12 = k - r. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from yhhhzryhrchyrhzhr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7517*b**2*k**4 + 6018*b**2 wrt k.\nAnswer: -30068*b**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 340 in 1\/9, 4\/3, 5, 19, 4\/5, 1\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 417*c = 138*c - 156*c - 3915 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 10:26 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10408 - -10817. Calculate the remainder when 832 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide (-129)\/86*(-291)\/(-6)*-244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/440 and -31\/133153020?\nAnswer: 266306040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1487696 + -62475257\/42. Let c = -759\/4 + m. What is the common denominator of c and 61\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77632.15 litres in millilitres?\nAnswer: 77632150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5043 - 211885\/42. Find the common denominator of 115\/1218 and a.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3 - 2) + 169\/52)*4. Let y(h) = -h**2 - 5*h + 16. Give y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*c + 120*c = -9399 + 23859 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -729*a - 4842 - 9458 = -1391*a - 768*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4890 = -u - 297, 0 = -3*u + 3. What are the prime factors of q?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {e: 8, y: 2, l: 5, x: 2, r: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1*3\/9*12*11\/1012\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) -167  (b) 0.3  (c) 1.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 12 and 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*n*q**4 - 25027413*n*q**3 + n*q**2 + 2068348*n*q - 5*n - q wrt q.\nAnswer: -72*n*q - 150164478*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 + s - 8 - 4 - 2*s as a + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*n - 64*n = -99*n - 198665. List the prime factors of n.\nAnswer: 39733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 658*q**2 + 694*q**2 + 390*q**2 + 680*q**2 to the form g*q + v + m*q**2 and give m.\nAnswer: 2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of 1\/4*s**4 - 1\/2*s**3 + 1\/20*s**5 - 3\/2*s**2 + 0 - 6*s. Is 3 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.75 - 4.05. Which is the closest to -1?  (a) 0.05  (b) 0.11  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2532617497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 3\/2*b**4 + 0*b**3 + 14*b + 0*b**2 + 13. Differentiate c(h) with respect to h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -326012 (base 7) to base 8.\nAnswer: -157712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i**2 + 52*i**2 - 5*i**2 as v*i**2 + u + o*i and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 - 3)*(14*v + 28*v - 3*v).\nAnswer: -312*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(3 - 2) + 103. Suppose 5*g + 3*x + 6 + 162 = 0, -x - c = 3*g. Let f be (-8)\/g + (-94)\/18. Let n(k) = -k**2 - 5*k + 3. Determine n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/74295 and 69\/41275?\nAnswer: 371475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + f + 8 = -j, 0 = -3*j + f + 10. Let a = -6621 + 6621.1. Let n = -247\/3 + 83. What is the nearest to a in j, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.413  (b) 5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1549 = 4*g + 137. Let y = g + -1766\/5. Which is the second biggest value?  (a) -2  (b) y  (c) -1\/4  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224482?\nAnswer: 2, 112241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - w + 24 + 9, -4*m - 2*w = -30. Suppose 9 = 5*z - m. Is 7 a factor of z*-1 + 259\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 1. Suppose 4*l - 6 = c*h, -5*h = 5*l + 7 + 3. Suppose -t + l*t + 2 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -113 - -56. Let a = -198 - c. Let g = a - -144. Solve -b - g*b + 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1681 + -1677. Let r be 2*1\/(-7) + (-1885)\/(-6279). Which is the third smallest value?  (a) r  (b) 0  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-6)*3\/1. Suppose m*j - 12 = -0. What is the third derivative of -i**4 - 34*i + 34*i + j*i**2 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 677776597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -352 + 379. Suppose -38*l + 242 = -f*l. Does l = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423569195 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: What is the next term in 546559, 1093166, 1639827, 2186548, 2733335?\nAnswer: 3280194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1090 + 1969 = 152*x - 6517 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - (-3146)\/(-130))*35.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1660353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l - 29*l + 2592 = 0. Suppose 31*o = 22*o + l. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 6, -5*o = b + 4*b - 35. Let d = 44 - 24. What is the greatest common divisor of d and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/49))**(-39)*v**(-14)\/((v\/(v\/v**(-8))*v)\/v))**(9\/7) assuming v is positive.\nAnswer: v**(-3348\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27?  (a) -0.5  (b) -2368  (c) 4  (d) -1  (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 1:08 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -24163*h + 2464678. What is l(102)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -14*t**3 - 1 + 21*t - 23*t - 42*t**3. Suppose 3*m = -3 - 0. Let c be p(m). Calculate the highest common divisor of c and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1795 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + -22. Let l = -6 + t. Let y(i) = -i**3 + 9*i**2 - 5*i + 7. What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2, 0, 8, 22, 42, 68, 100?\n\"Answer: 3*k**2 - 7*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**3\/6 - o**2\/2 - o. Let t(j) = 2*j**3 + 2*j - 5. Suppose g + 4 = 2*k + 3, -3*g = k - 4. Determine k*t(s) - 3*n(s).\nAnswer: 2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 + 15. Let l = -34.5 - s. Let j = -0.2 - -1.2. Which is the second smallest value?  (a) l  (b) j  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - t**2 + t - 1. Let b(o) = 3*o**3 + 3*o**2 - 5*o + 4. Let r(d) = b(d) + 4*j(d). Is r(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 825307 and 3136?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27384*p**2*w**3 - 71*p**2 + 180*w wrt w.\nAnswer: -164304*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 + 39*n - 36.\nAnswer: -3*(n - 3)*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 9:07 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 10212200 (base 3) to base 12\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 4*s - 7*s + 3, 0 = -3*s + 5*r - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -96840 divided by -48420?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 164 + -23. Suppose d = 4*r - 643. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.955 and -2.1.\nAnswer: -4.1055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 124, 270, 474?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/437625730 and -43\/12871345?\nAnswer: 437625730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2976 (base 10) in base 2?\nAnswer: 101110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 286 - 524 = 0. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*s - 77*s**2 + s**4 + 12*s - 13*s**3 wrt s?\nAnswer: 24*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of l**4\/24 - 13*l**3\/6 + l**2 - 1834. What is p(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -987110\/27 at least -36561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11, 16, 5, -28, -89, -184?\n\"Answer: -d**3 - 2*d**2 + 18*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-2 + -5)) + (1 - -10 - 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1164 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/7)\/(((-2400)\/36)\/(-40)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 11:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1054.1 + 1057.1. Put 2\/9, t, 10, -12, -1 in ascending order.\nAnswer: -12, -1, 2\/9, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 11*u**2 + 24 - 23 to a*u + z*u**2 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from {q: 6, w: 1, u: 8, s: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4542 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(637) + sqrt(637)*1 - (-3 + -1 + sqrt(637)).\nAnswer: 2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 100000010000011101?\nAnswer: 100000010000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4222164.\nAnswer: 2, 3, 351847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1917 + -1958. Suppose 0 = -2*u + 3*w + 87, 72 + 13 = 2*u - w. Let f = u + n. Sort f, 0, 13 in decreasing order.\nAnswer: 13, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/36 and -47\/22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 15*n = 273. Let d = n + -84. Calculate the least common multiple of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -17*r - 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - 0) + (-604 - -627)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512130 is divided by 512112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/37410 and -17\/258129.\nAnswer: 2581290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -1001?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, e: 4, u: 2, h: 1}. What is prob of picking 2 e and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-6)*g**7)\/(g**(1\/7)\/g**(-3)) assuming g is positive.\nAnswer: g**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 3:46 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of v**3\/3 + 59*v + 136. Let f be p(-20). What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 + 9983210212*m - 9983210212*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**5\/10 - 10*w**4 - 319*w**3 - 1682*w**2 - 60*w. Factor o(a).\nAnswer: -2*(a + 2)*(a + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -177*t**3 - 1095*t**2 + 204*t + 48. Let q(n) = -533*n**3 - 3286*n**2 + 612*n + 142. Let s(m) = -17*h(m) + 6*q(m). Factor s(y).\nAnswer: -3*(y + 6)*(7*y - 2)*(9*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/245*-2)\/(6\/21)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z. Let t(s) = -3*s - 21. Let d be t(-5). Let c(l) = 4*l**2. Let m(x) = 5*x**2. Let p(h) = d*c(h) + 5*m(h). Give p(o(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 + 39. Let x(n) = 6*n - 24. Let s be x(a). Suppose -2*m = -3*w - 15, -w = -m - 3*w + s. What is the smallest common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -0*t. Let v be -2 - t - 0 - 22. What is the remainder when 95 is divided by v\/(-30) - 232\/(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 21.4. Let v = 9 - 9.9. Let a = v + 1.4. What is the closest to -2\/7 in a, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 67 = -3*q. Suppose 2*x = -0*x + 6. Suppose -q - 51 = -x*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.598 from 56810.0008679.\nAnswer: 56810.5988679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11216, -44876, -100978, -179522, -280508?\n\"Answer: -11221*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 57016612?\nAnswer: -57016616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in -5\/6, 1.1, -0.4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2 + 10*f + 5. Let i be n(-3). What are the prime factors of i*(-4 + 2) + 81\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 - 8*b + 8. Determine c(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/2*((-532)\/42 + 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 4*u - 3*w, -9*u + 16*w - 14*w + 36 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(-3) + (-4)\/(-2). Let i = 1.1 + -1. Let d = -1.2 + 1.1. What is the nearest to c in 2, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(-75)*80\/(-128))\/((-42)\/385).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 38729\nAnswer: 154916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 12. Let u be s - (1 - (3 + -5)). Let g(k) = -19*k + 5. Is g(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 15*s**3 + 9*s**2 + 5*s - 40. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3 = -0*d. Let p(t) = -6*t + 3*t - d*t. Does 10 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*o + 42 + 0 = 0, -l - 10 = 4*o. Let h(z) = z**3 - 6*z**2 + z. What are the prime factors of h(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5738927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18755, -1, -8, 3, 1.\nAnswer: -8, -1, 1, 3, 18755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2907870?\nAnswer: 2, 3, 5, 7, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddddwddxwdwwdwwwdw. Give prob of picking 1 d and 1 x.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7, g: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 264146615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.61467 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 - 2*b**3 + 156*b**2 + 360*b - 1296.\nAnswer: -2*(b - 9)*(b - 2)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262329?\nAnswer: 3, 87443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 125273244 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: Expand (4 - 1 - 1)*(0*f**2 + 0*f**2 + 2*f**2)*(-55 - 43 - 30).\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 3 + 13 + -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - -24) + (-1 - 10) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 68 - 31 = -5*g + 44, 0 = -3*o - 2*g - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -186, 26, 4, 5 in ascending order.\nAnswer: -186, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000244316 to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-123)\/9*(-21 + 24)\/(-13 - -14)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -785 - -538. Let o = 242.96 + j. What is o rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**6 - w**5 - w**2 + w. Let h(d) = -133*d**6 + 3*d**5 + 5*d**2 - 3*d - 29. Let o(p) = h(p) + 3*y(p). What is the third derivative of o(l) wrt l?\nAnswer: -16320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(1 + 2) - (12 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 3, 2, 6 in decreasing order.\nAnswer: 6, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o - 4. Suppose 0 = 3*h + 9 + 3. Let g = h - -9. What is z(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 12) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/2321, -2, 3 in decreasing order.\nAnswer: 3, -6\/2321, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5 + 25 = 0. Suppose 44*i - 49*i = m. Let q(t) = 18*t**2 - 4*t - 6. What is the tens digit of q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 104 - -8?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) -0.4  (c) -5  (d) -0.1  (e) -369485  (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 8192\/7*u + 28 + 2048\/7*u**2 + 16\/7*u**4 + 256\/7*u**3 + 2\/35*u**5. Factor f(k).\nAnswer: 2*(k + 8)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzgzgz. What is prob of picking 3 z and 1 g?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 392 a factor of 21265234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Divide 1129168 by -282292.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -94 - -124. Is 26\/(-12) + 2 + 2225\/j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -477, 5, -27146 in increasing order.\nAnswer: -27146, -477, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/k**(-1))**(3\/10) assuming k is positive.\nAnswer: k**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 47 and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*f = -s - 14, 4*s - 4*f + 4 = 0. Suppose 148 = s*t - 23. What is the highest common factor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4 = -u, 2*u + 52 = -2*u + 5*y. Let p = 0.4 - -0.1. Which is the nearest to -1?  (a) u  (b) p  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of l**5\/20 + 7*l**4\/6 - l**3\/2 + 5*l**2\/2 - 3*l. Calculate the remainder when m(-14) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 6:04 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of -19*z**3\/2 + z**2 + 3*z + 1. Let w(p) = p**2. Determine w(x(v)).\nAnswer: 3249*v**2 - 228*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 745 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 5*w**3 - w - 5. Let h(x) = -126 + 55 + 60 + 14*x**3 - 3*x - 3*x**3. Determine 6*h(u) - 13*j(u).\nAnswer: u**3 - 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, p: 2, x: 2, d: 4}. Give prob of picking 2 p and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*0.0603612\nAnswer: 0.01207224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -1\/3*h**3 + 0 + 0*h**4 - h + 0*h**2 - 1\/1800*h**6 - 1\/600*h**5. Let d(w) be the second derivative of z(w). Factor d(v).\nAnswer: -v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -231 - -6080?\nAnswer: 5849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n. Let i(l) be the first derivative of -29*l**3\/3 - 5*l - 1336. What is b(i(z))?\nAnswer: 29*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 0 + 8. Let r be (2 - k)\/(-4 + 3). Is -2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1108417823*i**2 + 120950976*i + 1 wrt i?\nAnswer: 2216835646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4, -4, 3, -388, 50 in descending order.\nAnswer: 50, 8, 4, 3, -4, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + -4 + 110 + -37 + -27.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 457*p**2 - 272*p**2 - 236*p**2 - 36*p wrt p.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61, 140, 267, 466, 761, 1176, 1735, 2462?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 5829*u. Let l(h) = 3*h. Determine y(l(i)).\nAnswer: 17487*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 4\/7  (c) -4  (d) 0.5  (e) -64.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 1407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = x - 4, -3*x + p + 0*p = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 3*o. Let x be u(-3). Suppose -38 = -x*m - m. Let q = m + -12. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/43)\/v**20 assuming v is positive.\nAnswer: v**(-858\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = -2*s. Let n be 3*(s + -3) - (-35)\/10. Factor 0 + 0*b - 1\/2*b**4 + 0*b**2 + n*b**3.\nAnswer: -b**3*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(625)*1 - sqrt(625) - sqrt(625))\/(-5*sqrt(720))*-3)**2.\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(0\/4 - 31). Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 11:26 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/18 and 23\/75.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 140 = 40. Suppose 2*d - f = -4*d. What is the tens digit of ((-3)\/d*0)\/1 + 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35712.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 1. Suppose -s = 4*r + 23. Is (-1938)\/r - (-4)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 583*y + 36*y + 510*y - 47418 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/54*(-9099)\/6066.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 165 + 38 = 0. Suppose -4*p = -447 + g. Calculate the common denominator of -149\/18 and 451\/p - 2\/10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -98 - -89. Let t = u + 8.6. Let x = -11 - 3. Which is the biggest value?  (a) x  (b) 4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (14 + 4) - 6 - 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 5*l**3\/3 - l**2\/2 + 7*l + 5. What is the common denominator of t(-6) and 97*(-2)\/(-24)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 455.003 - 0.003. Let n = i + -914. Let k = 459.00000203 + n. Round k to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8132*r**3 - 10552*r**2 + 95164*r + 29040 = 0. What is r?\nAnswer: -4, -605\/2033, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/12*-15 - (-7155)\/(-540)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/19842092 and 11\/2307220.\nAnswer: 99210460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*r**3*z + 267*r**3 - 271425*z wrt r?\nAnswer: -60*r**2*z + 801*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4768 = 15*f - 1712. What is the least common multiple of f and 1080?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111020020 (base 4) to base 13.\nAnswer: -30508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10\/83, 0.097, 3\/4, 10\/3, -0.1, 0.2?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/44164?  (a) 0.3  (b) 1\/5  (c) -4  (d) 0  (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -452 - -453. Let n be (-5)\/2*(-66)\/90. Which is bigger: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 58 = -5*q - 5*h, -2*h + 24 = 2*q. Let l = q - -6. Calculate the greatest common divisor of 51 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 76\/3 - 8\/24. Suppose -o = 2*f + f - z, -3*o - 5*f = -71. Calculate the greatest common factor of 88 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.173214 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 1975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {w: 8, h: 4, u: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -58, -124, -332, -766, -1510, -2648, -4264?\n\"Answer: -14*r**3 + 13*r**2 - 7*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 10 = m. Let s(y) = y**3 + 3*y**2 - 4*y - 2. Let x(w) = -3*w**2 + 3*w + 1. Let f(a) = 2*s(a) + 3*x(a). Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 - -195. Let w be (1 + (-2)\/8)*32. Let l be 2\/3*w + 2. What is the highest common divisor of g and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -148*m**2 - 457*m - 7. Let h be t(-3). Let r = -207 - -319. Calculate the highest common divisor of h and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 15*g**2 - 18*g + 62. Give b(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -6. Let g(h) = 4*h**2. Let l be g(j). Let q = l - -21. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.31 + 0.11. Let g = -78 + 77.032. Let r = g + -0.032. Which is the closest to 0?  (a) r  (b) -5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -4, 11, 32, -611, 5, -1.\nAnswer: -611, -4, -1, 5, 8, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -348.917 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -12*h**3\/19 - 10*h**2\/19 = 0?\nAnswer: -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 11:12 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*f + 33*f = -2*h + 12, -5*h = -4*f - 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26533813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 10111111000000010?\nAnswer: 10111111000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/6, -0.4, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -4. Let n = 15.3 - 14.8. What is the third smallest value in r, n, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60112473 is divided by 3005623.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -6*a. Let l(q) = -25*q**2 - 17*q + 17. Let g(k) = -3*k**2 - 2*k + 2. Let z be (-3)\/(-15) - (-29)\/5. Let u(t) = z*l(t) - 51*g(t). Determine u(f(x)).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-36)*3)\/(2\/(-42)) + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3597 is divided by 172.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.03  (b) -88  (c) 4  (d) 1  (e) 10\/3  (f) -2\/13  (g) -5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*s - 24 = v + 202*s - 406*s, 31 = 3*v - s for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + l + 127 = 0, 2*v + l = -38 - 25. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -2*d**7\/105 + 3*d**6\/10 + 2*d**5\/3 + 88*d**2 - 8*d - 5. Let l(p) be the first derivative of y(p). Factor l(r).\nAnswer: -4*r**2*(r - 10)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 - 0 - (3262 + -3261)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 243 - 172. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10351, -10347, -10331, -10297, -10239?\n\"Answer: f**3 - 3*f - 10349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 74*b + 173. Let w be r(8). Let d = 426\/11 + -6929\/165. Find the common denominator of -7 - -2*w\/297 and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**2 - 7*z. Let i be h(5). Suppose 9*x = 6*x + i. Let f(g) = 6*g**2 - 6*g + 7. Is f(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uv when two letters picked without replacement from byvyumm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*o + 248 - 106 = -632 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 41912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - 691146*l - 12440945. Calculate q(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, r: 2, d: 7}. What is prob of sequence ddr?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8328.23 plus -114939?\nAnswer: -106610.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*n - 10. Let l = 6.7 - 7. Which is the second biggest value?  (a) l  (b) -4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -7*q**3 - 4*q**2 + 6*q - 3. Let s(a) = -a**3 + a. Let y(o) = -6*s(o) + t(o). Suppose -3 = 3*b + 12. Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**7)\/((r**(-4)*r)\/r))**(-13\/2))**(-12) assuming r is positive.\nAnswer: r**1014","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:55 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 24*r**2 - 80*r + 29. Let s be z(-27). Let n(o) = -12*o**2 - 5 - 2*o**3 - 11*o + 8 + 23*o**s - 1 + 3*o**3. What is n(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 4350\/18 + (-10)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 61*f**2 - 184*f + 48009 wrt f.\nAnswer: 122*f - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.7 - 1.8. Let z be (3\/4)\/(3\/(-2)). Which is the closest to z?  (a) 1  (b) 4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 308519*y**3 + 2*y**2 + 3*y + 4. Let v be b(-3). Round v to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -1.9. Suppose 4*h - 2*h - 4 = 0. Let v be 1*2\/4*h. Is q != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*c - 105*c - 202 + 1504 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**1)**8)**(-24) assuming l is positive.\nAnswer: l**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-152)\/133*(-2 + 44\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -dc (base 14) in base 13?\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xmmeilremii. What is prob of sequence mlr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081146727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/7  (b) -2\/55  (c) -2  (d) -32\/5  (e) 14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + (3*(-2*sqrt(14))\/sqrt(2)*-6 + ((sqrt(28) + (sqrt(28) - 2*sqrt(28)))*-2)\/(-2*sqrt(4)*-6))**2).\nAnswer: 27201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 28*x**3 - 15*x**3 - x**5 - 14*x**3 - 2*x**5 + 4*x**5 + 0*x**5 + (-2 + 2 + 2*x)*(-4*x**4 + 0*x**4 + 5*x**4) - 3 + 2*x**5 + 3.\nAnswer: 5*x**5 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (984 - 1549 + 951)*(-1 + 1 + p)*(-4 + 3 + 2).\nAnswer: 386*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - q - 6 = -28, 3*j + q + 10 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.06, -3\/7, 2\/165, -44\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u - 2 + 2 + (33*u + 3*u + 0*u)*(2 - 1 + 1))*(u + u - 3*u) to x*u + n*u**2 + a and give n.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3\/191 + 215\/1528. Let q = -0.1 + 0.2. Let n = 0.2 - q. What is the closest to n in 0.4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from vgfvflgdgvgggggm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 n, and 1 g when four letters picked without replacement from {n: 6, g: 1, o: 4, s: 1, j: 3, c: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.1, 59\/6, 0.2, -0.1, -36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13432?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 5:30 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**3 - 3*r**2 + 9*r - 17. Suppose 121*f - 554 = -312. Calculate p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -3*x - 517 + 2190, 0 = 3*p + 4*x - 984. Solve 16*y = 308 - p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6400 - 4558. Suppose 3*x = -2*b + a, 9*x + 2*b + 2442 = 13*x. Does 34 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 - 57 = 27*n - 27 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*w**2 + 4*w**2 + 2*w - 2*w.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -10*k**3 + k**2 + 16*k - 13. Let r(i) = 6*i**3 - 2*i**2 - 11*i + 9. Calculate 5*f(s) + 7*r(s).\nAnswer: -8*s**3 - 9*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 2. Let n = -45 - -57. What is the lowest common multiple of g and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of 106*o**3\/3 - 19. Let z(t) = 2*t. Determine z(b(j)).\nAnswer: 212*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (12 - 21 - (0 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + sqrt(147))**2 + 1 - ((sqrt(147) + -1*sqrt(147) + 4)**2 + sqrt(147) + (sqrt(147)*-1*-1)**2).\nAnswer: -6 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*x - 15*v - 28, -2 = 4*x - 1302652*v + 1302654*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 6453177*h**2 + 0*h**3 - 6453383*h**2 + h**3 + 1 in the form x*h + b + q*h**3 + r*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0072655 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 - 337*r + 324*r + 3*r**3 - 6*r**3 + 0*r**3.\nAnswer: -4*r**3 - 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**0)**(-1\/16) assuming q is positive.\nAnswer: q**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3230 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9857 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by -1416286.\nAnswer: 35\/1416286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2*h + 4, 9*b - 4*b - 4*h + 50 = 0. Let j be 2\/b - (-4)\/3. Sort 67, -2, j in descending order.\nAnswer: 67, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 67.114 + -65.114. Let q(s) = 3*s**2. Let h be q(1). Suppose 0 = h*n + n. What is the second biggest value in -6, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 5, 2 = -z + 4*k - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3669 = -t + 3*u, 5*t + 24*u = 21*u + 18309. Let w = t + -314. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2886*l**3 + 935*l**3 - 10807*l**3 - 3324*l**3.\nAnswer: -16082*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2 - 16*t + 2. Let f(g) = -11*g - 5. Let m(o) = 5*o + 2. Let p(a) = -2*f(a) - 5*m(a). Determine v(p(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2 - 12*o + 4. Suppose 4 + 8 = 2*c. Let x be m(c). Suppose 0 = x*j - 37 - 15. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13232977 is divided by 323?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**3*x**4 + 5*n**3*x**3 + 13*n**3 + 2*n*x**2 + 93*n*x wrt x?\nAnswer: 36*n**3*x**2 + 30*n**3*x + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 33bcd2 (base 15) to base 3\nAnswer: 11122111020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -2. Let n be (3 + w)\/3 + 5. Let f(u) = -3*u + 4*u - u - n*u. Let b(l) = l. What is f(b(k))?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 - -0.6. Let x be (-5 - 1)*12\/(-396). What is the second smallest value in 1\/5, x, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + 68. Suppose 74 = 2*j + 2*j - 3*l, 5*j - 3*l = q. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1590769 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 849634673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -882344 (base 10) in base 9?\nAnswer: -1584312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.07 or -749\/2?\nAnswer: -749\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 22*a - 46. Let g be w(-19). Let j(v) = -3253*v + 3253*v - g*v**2. Let n(r) = 3*r**2. Give n(j(o)).\nAnswer: 363*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-18))\/((-4)\/(-6)). Let z = 588 + -582. Sort i, z, 0, 5 in decreasing order.\nAnswer: z, 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/3 - 66*l**2 + 1600*l\/3 + 600 = 0. What is l?\nAnswer: -1, 10, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k + 5. Let y be g(6). Suppose -4 = -h + 4*x + 5, 0 = -2*h - 5*x + 44. Suppose -22 = -5*s - h. Put 5, s, y, -2 in descending order.\nAnswer: 5, s, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*t - 24 + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 50357 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18\/(-6) - (0 + 3). Let o be -3 + (-2 + -1)\/(-3). Let z be (-3)\/((-2)\/2 - o). Sort z, j, -4.\nAnswer: j, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 24 + -8 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of j**5\/20 - j**4\/8 - j**3\/2 + 13*j**2. Let c be b(3). Suppose -c = -31*x + 26*x. What is the remainder when 8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 7, -8646 in decreasing order.\nAnswer: 7, -4, -8646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -11*n**5\/60 + 301*n**2 - 4*n. Let t(d) = -2*d - 23. Give t(w(v)).\nAnswer: 22*v**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1712737 not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16031942579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a + 35 = 12*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) 2\/19  (b) 3\/4  (c) 3\/8  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 129466021357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(11) + 0 + 3 - (2*sqrt(1331) + sqrt(1331) + 1)**2.\nAnswer: -11982 - 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3\/4, -4, 0.4, -6.5 in ascending order.\nAnswer: -7, -6.5, -4, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 180150*o**5 - 40*o**4 - 57902*o**2 - 22*o - 3 wrt o?\nAnswer: 10809000*o**2 - 960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -2\/119  (c) 612.66  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c**2 - 213*c + 27. Calculate the least common multiple of m(55) and 40.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -307 less than -313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 604 and 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 573  (b) 0.04  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(252)*-3 + (sqrt(252) - (sqrt(252) + (sqrt(252) - (1 + sqrt(252))) + -4) - sqrt(252)))**2.\nAnswer: -420*sqrt(7) + 12373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -55228, 0, 4 in ascending order.\nAnswer: -55228, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/1573830 and 99\/718910.\nAnswer: 58231710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 4*n. Let x be p(4). Suppose 3*t + x = -3. Sort -2, -4, t in increasing order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2. Let j(l) = 360*l**2. What is j(m(z))?\nAnswer: 360*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 3\/2*h**4 + 0*h**2 + 2\/3*h**3 + 0*h + 1. What is the third derivative of w(v) wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5201, 20749, 46641, 82859, 129385, 186201, 253289, 330631?\n\"Answer: -3*b**3 + 5190*b**2 - b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/54)\/(875\/(-105)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from {e: 1, x: 2, n: 1, i: 1, p: 2, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -2, 0, -573, -6, -87.\nAnswer: -573, -87, -6, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggzjgzzggzgg. Give prob of picking 2 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbibi.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 97*i**2 + 5*i - 8. Let d(p) = -65*p**2 - 3*p + 5. Give 8*d(x) + 5*q(x).\nAnswer: -35*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 572023 is divided by 11753?\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3024 (base 6) in base 10?\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, y: 3, f: 4, h: 1}. Give prob of sequence yyyh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8562595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + 4*(-1)\/2. Let a be w\/(-6) + 60\/18. Find the third derivative of -l**4 - l**4 + a*l**2 + l**2 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 87 and -22676?\nAnswer: 22763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 625869 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -81 - -76.04. Let k = t + -0.04. What is the second biggest value in 0.3, k, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14e97 (base 15) in base 4?\nAnswer: 100131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 989.4, 10, -1, 2 in descending order.\nAnswer: 989.4, 10, 3, 2, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -3\/7  (c) -2  (d) 2\/13  (e) -1.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lhlf when four letters picked without replacement from {o: 1, s: 4, l: 2, f: 1, h: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 greater than or equal to 572665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36577470?\nAnswer: 2, 3, 5, 19, 64171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15389.\nAnswer: 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - f + 1. Let x(b) = -b**2 + 39*b + 31. Let n(o) = 3*j(o) + x(o). Let u be n(-17). Suppose u = -20*d + 17*d + 552. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4864, 9798, 14730, 19660, 24588, 29514?\nAnswer: 34438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 106 = -5*v, 0 = 4*o + 2*v - 26 + 202. Let l = o - -49. Differentiate -l + 290*w - 166*w + 0 - 140*w wrt w.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 10:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -0.2, -70\/13, 0.07?\nAnswer: -70\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1069097, -4276415, -9621945, -17105687, -26727641, -38487807?\nAnswer: -52386185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -1  (b) -0.3  (c) 5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-26 - -24) + 7*1. Suppose -2*z = -3*p + 4*p - 110202, -s*p = -4*z + 220390. What is z rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.8 + 0.5. Let t = -0.3 - l. Let h = -3 + 2.6. Which is the closest to 0.1?  (a) h  (b) -1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 7*f**2 - 3*f - 6. Let a(l) = -l**2 + 1. Let n be 4 + 0\/(-2) + -3. Let m(b) = n*x(b) + 6*a(b). Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 23222 = -z, 3*z = y - 3978 - 676. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2054 + -704523\/343. What is the closest to 2\/7 in -5, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/12 - 2)*1373\/(-6865).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 + 0.43. Let w be ((-4)\/(-30))\/(2227\/1965). Is h at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 43 - 22 - 21 - h**3 + 5*h + 4*h**2. Give i(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 - (-1 + 0 - -4). Find the third derivative of -10*o - o**a + 75*o**3 - 2*o**2 - 11*o**2 + 4*o wrt o.\nAnswer: -24*o + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13789 * 12.6.\nAnswer: -173741.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2196, -4426, -6700, -9018, -11380?\n\"Answer: -22*z**2 - 2164*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16403 + 8215 - 483*o**2 + 8188.\nAnswer: -483*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -224, -219, -210, -197?\n\"Answer: 2*m**2 - m - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 780*q**2*v*w**2 - q**2*v*w - 19620*q*w + 3*v*w**2 - 1624*w**2 - 17*w wrt w.\nAnswer: 1560*q**2*v + 6*v - 3248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -105687, -105691, -105695?\n\"Answer: -4*b - 105683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -58596+-2\nAnswer: -58598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -98958, -98961, -98964, -98967, -98970?\nAnswer: -98973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37\/7196 or 1?\nAnswer: 37\/7196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 166339798*q**3 + q**2 + 17602*q + 39.\nAnswer: 998038788*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4905 and 493443.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 48*d**2\/5 + 297*d\/5 + 459\/5.\nAnswer: 3*(d + 3)*(16*d + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1020 = 4243*h - 3995*h + 1956 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/7  (b) 0.119  (c) 1\/5  (d) -1  (e) 22  (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of s**9\/504 - s**8\/112 + 41*s**5\/30 + 2*s**2 - 14. What is the third derivative of h(f) wrt f?\nAnswer: 120*f**3 - 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*p + 15 + 13. Suppose -p*t + 142 + 174 = 0. Suppose -3*j + t = -86. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8093*l + 20 = 8083*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20366 - -20361. Which is the closest to -1?  (a) 274  (b) m  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*l**2 - 54*l**2 + 13*l**2 + 19*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, 3 in decreasing order.\nAnswer: 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -99.52 - -97. Let y = -0.48 + r. Which is the closest to y?  (a) -2\/7  (b) -4  (c) -1.4  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*f + 42. Suppose f = 3*g, 3*t + 2*g = -g + 3. Put -7, t, 4 in increasing order.\nAnswer: -7, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -1. Let u = 5.6 - 0.6. Sort -3, u, m in descending order.\nAnswer: u, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 750 = g - 517. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1417061*v**3 + 472325*v**3 + 472374*v**3 + 472357*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1011328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -99, 144, -449 in descending order.\nAnswer: 144, 3, -99, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 9 + 29 = -2*p, y = -p + 5. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1, 6, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -1209*t**3 - 4. Let d(j) = -3626*j**3 - 13. Determine -4*d(a) + 13*k(a).\nAnswer: -1213*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 - 41. What is the lowest common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 76 and 4693.\nAnswer: 18772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.1 - 6.1. Let l = 1.6 + -1.8. Let h = -661\/13 + 51. Which is the third smallest value?  (a) n  (b) h  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*i + 215 = -12*i. Let l(h) = h**3 - 7*h**2 + 9*h + 7. Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -191 - -191.2. What is the nearest to -0.3 in o, -1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2840693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 235, 1105, 3463, 8053, 15619, 26905, 42655?\nAnswer: 63613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 989*a**5 + 273*a**2 wrt a?\nAnswer: 59340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -19743, -77983, -175049, -310941, -485659?\n\"Answer: -19413*t**2 - t - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 478 - 495.2. Let r = t - -17.199999179. Round r to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 685.788s?\nAnswer: 685788000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 26 = -3*a. Solve 4*u - 2*u - a = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -902a7 (base 11) in base 9?\nAnswer: -221218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 x when three letters picked without replacement from llcxssxslscxxslcss.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 172563*k - 2588451. Determine p(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 14682365?\nAnswer: -4\/14682365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -16*j**2 + 514*j - 3937. What is c(7)?\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 + -38. Suppose 3*r - 4*r + 3 = 0. Let h(o) = -4*o**2 + 4 + 2*o**2 + 2*o - r. Calculate h(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88215 divided by 3.\nAnswer: -29405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (8 - (21 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1667470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.25 - -20.25. Let w = -974720400 - -974720380.00000042. Let t = w + n. Round t to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3006 is divided by 499.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10718363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*t = -2560, 3*x - 3*t = -7*t + 1941. What is the remainder when x is divided by 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-3))\/((-40)\/(-150))*68. Suppose 0 = -24*a + 7*a + u. Suppose -5*r + 0*s = 3*s - 13, -2*r + 3 = -s. Solve -a*n + r = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of f**3 - 3*f**2\/2 - 4*f. Let b(x) = -4*x + 2. Give 8*b(h) + 5*m(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q**3 - 6*q**2 + 15*q - 6. Let x be m(2). Solve 9*y = x*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 9404*b**2 + 7*b + 22. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 26\/23?\nAnswer: 26\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 130800 times -12?\nAnswer: -1569600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 + 41921321049.\nAnswer: 41921321049.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2 = 25. What is the biggest value in 1, 3\/5, -0.3, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 655 and 6.\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 184208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.4402l in millilitres?\nAnswer: 7440.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65625066 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10545 + 12*i**2 + 0*i - 11*i - 10545 to the form y*i**2 + g + f*i and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + y = 2*a + 12, -16 = -a + 5*y. Let o(u) = 2*u**2 - 11*u - 11. Let l(n) = n**2 - 6*n - 6. Determine a*o(h) + 7*l(h).\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-354)\/(-5) + (-3)\/(-15) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24.122856 times 5\nAnswer: -120.61428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - 1 + 2*v**2 - 2*v**3)*(-2 + 1 - 3) + 4*v**3 + v**3 - 2*v**3.\nAnswer: 11*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) + -3)*-6 + sqrt(1053))**2.\nAnswer: -1620*sqrt(13) + 26649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/(sqrt(4)\/sqrt(2)) + sqrt(2) + sqrt(32) + -1 + -2 - sqrt(150)\/(sqrt(24)\/(sqrt(72)\/sqrt(9)) + sqrt(3)))**2.\nAnswer: -21*sqrt(2) + 67\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.71227 hours to nanoseconds.\nAnswer: 268964172000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**3 + x**3 - 6*x**3 + (1 - 2*x - 1)*(-x**2 + 0*x**2 + 0*x**2) to the form c + i*x + m*x**3 + l*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrl when four letters picked without replacement from {x: 1, l: 2, r: 1, t: 1, b: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -546*s = 78*s - 118*s - 12650 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + (sqrt(133)\/(sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(38)\/sqrt(2)*6)**2).\nAnswer: -6897\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17851921 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 76*v + 78*v - 159*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -61060?\nAnswer: -61065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1068832 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 3) + 3 - -2. Suppose 4*g - a = f*a + 51, a = 2*g - 23. Find the second derivative of 14*k**4 - g*k**4 - 4*k + 10*k**4 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-4)\/(((-15)\/1630)\/((-9)\/(-6))) and 1793?\nAnswer: 7172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 68 - 68. Which is the closest to -1\/2?  (a) -3  (b) v  (c) 1  (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 119. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -94, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*f - 12. Let b be 133\/9 + 4\/18. Suppose -3*h = 2*p + 3*p + 17, -b = h + 4*p. Solve -4*l - 5 = -h, -f*y = 3*l - 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 49*n - 245. Let z be x(5). Solve -5*b = 3*d + 22, z = -3*d + d + 5*b + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/4))**18\/((g*g**3)\/g)**(-1\/39))**(-37) assuming g is positive.\nAnswer: g**(4255\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381 - 241 = 2*i + 2*q, 0 = -4*i + 2*q + 298. Calculate the remainder when 421 is divided by i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 14 = -14. Let g(y) = y**3 + 8*y**2 + 9*y + 8. Let n be g(j). Let c = n - -3. Is c bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 384*g - 50*g - 377136100. Round g to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g**2. Let a be 2\/3 - (21\/(-9) + -2). Let z be (-1)\/(-3)*(a - (4 - 5)). Let d(n) = 3 - 8*n**z + 3*n**2 - 3. Calculate d(f(c)).\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*w + 52 = 5*q - 62*w, 62 = 3*q + 5*w. Solve 12 = 4*u, -q*u + 12*u - 5 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + 1 - 1)*(5*s + 0*s - 4*s) - 2*s**2 + 0*s**2 + 3*s**2 in the form x*s**2 + v*s + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000040192 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-11 - 0)*4\/4. Let z(p) = -p**3 - 12*p**2 - 12*p - 2. What is the remainder when 35 is divided by z(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*b**2 - 2*b + 2*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.4 + 2.2. Which is bigger: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2764 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 249319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**7\/30 + 2*l**6\/15 - l**5\/20 - 2*l**4\/3 - 2*l**3\/3 + 9*l**2. What is c in y(c) = 0?\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1159632 is divided by 13641?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {x: 1, b: 2, g: 6, q: 4, z: 2, j: 3}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 966\/294 + (-2)\/7 + 0. Let g be -3 - (11*v\/(-6) + 2). Solve 0*n + 0*n**3 + 0*n**4 - g*n**5 + 0 + 0*n**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -0.37  (c) -1  (d) 0.1  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.5 - -1. Let v = -1.5 - u. Suppose -3*y + 5*f = -0*y + 25, -f = 4*y - 5. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 - ((21 - (16 + 103)) + -1).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -486*t + 239*t + 247*t + 92328*t**2.\nAnswer: 92328*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30*118\/177*1\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186 - 189 = -y. Solve 63 = y*j + 66 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 10 - 18. Let b(f) = -4*f**l + 37 - 37 + 7*f**2. Let d(i) = -7*i**2. Calculate b(d(n)).\nAnswer: 147*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 9 = -2*f. Let q be (-166)\/(-4)*(-3 + 5). Let p = q - 418\/5. What is the smallest value in p, f, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z + 137. Let f(p) = -17*p. Give l(f(q)).\nAnswer: -51*q + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 222690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -848 + 11*v + 659 + 468 - 9*v.\nAnswer: 2*v + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((28\/350)\/((-2)\/(-20)))\/((-8)\/(-140)). Solve 6*c = 10*c + 2*m + v, 0 = -2*c + 3*m - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 0.968349668768.\nAnswer: 4.968349668768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/2 - 27\/(-18). Let s(k) = 418*k**3 + k**2 - 3*k. What is the tens digit of s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*p = -41*p. Calculate the remainder when 31 is divided by (-1 + -1 + p)*(54 - 56).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -65\/63671 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 2*s + 1. Let a be (6\/(-4)*2)\/(-1). List the prime factors of n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-70))\/(4\/10). Let t = 0.63 + -0.13. Sort -2\/11, u, t in ascending order.\nAnswer: u, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -194 - -214.6. Let o = s - 8. Round o to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 2*r**2 - 1 + 4*r**2)*(-43 - 6*r + 43).\nAnswer: -6*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 529771 and 935.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/(-1) + -3308)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5640, -11278, -16916?\nAnswer: -22554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15448 - 22305. Let t = 109773\/16 + w. Find the common denominator of t and -14\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51 - -51.7. Let r = 226.853 + -227. Let z = -0.853 + r. What is the third smallest value in x, z, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i + i + 0*i)*(2*i**2 - 3 + 3) + (-2*i**2 + 0*i**2 + i**2)*(-2*i + 2*i - i) + 0*i**3 + 0*i**3 - 2*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s**2 - 8*s**2 + 14*s**2. Let c(w) be the second derivative of 0 - 2*w - 1\/4*w**4 + 0*w**3 + 0*w**2. Give v(c(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7287.\nAnswer: 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-50)\/16)\/(4190\/33520).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010 - 21002001?\nAnswer: -21000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 410.96 - 411. Let i = 0.27 + -0.07. Which is the closest to k?  (a) -2\/5  (b) 4\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - v + 0*v - 4 = 0, 3889601*b - v + 4 = 3889598*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/9632 and -31\/192640.\nAnswer: 192640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 5*t + 7. Let u be k(-10). Let c = u - 41. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o - 39. Let h be n(-12). Sort 1\/9, h, 4 in decreasing order.\nAnswer: 4, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87282065 <= 349128255\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 4)*(0*m + m**2 + 0*m) + 54*m**2 - 1123*m**2 + 245*m**2 + 8*m**2 + 287*m**2.\nAnswer: -528*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-4*(-6)\/2008) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5, i - 2*i + 31 = 3*w. Solve -3*g + g + w = 2*z, -4*z = -g + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l - 28 - 23 - l + (4 - 3 - 3)*(1 - 1 - 2*l).\nAnswer: 6*l - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3954394 less than 3954396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1436531.\nAnswer: 1436531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -202233121223 (base 4) to base 3\nAnswer: -122010200112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 7:40 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/5)\/y*y\/y**(-3\/4))\/(y**2)**31*(y**(-3)\/(y**(-1\/2)*y))\/(y\/((y\/((y**8*y)\/y))\/y)*y**(1\/7)) assuming y is positive.\nAnswer: y**(-10289\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -354*n - 1. Let t be d(-3). Factor 7*b**3 + 12*b + b**3 - 1079*b**2 - 2 + t*b**2.\nAnswer: 2*(b - 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 233\/12 - 56\/3. Let d = 0.7 - 1. Which is the nearest to 0?  (a) f  (b) d  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.5 + 0.5. Suppose -2*h + 15 = -3*n - 0, -5*h + n + 18 = 0. Let t = 3 + 2. What is the second biggest value in t, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 7*x - 5*x - x. Let m be w(2). Let v(r) = -3*r + 2*r + m*r - 2*r. Let a(n) = 10*n. Calculate v(a(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, t: 1, a: 2}. Give prob of picking 2 a and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54 - 14*r**2 + r - 54 wrt r.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (-309)\/(-6) - ((-10)\/4)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 281178*a**3*u**2 + 110*a**2*u + 6*a**2 - 4*a*u**2 wrt a?\nAnswer: 1687068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1432 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 28 = -0*s + 70*w - 66*w, 0 = -109*s - 5*w - 1972 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001632256 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-64)\/12*(-153)\/6. Calculate the greatest common factor of 34 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102102111 (base 3) in base 10?\nAnswer: 8329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (-9)\/90*-92)*(-6 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -119, -129, -143?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 459\/(-102)*12\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(12\/(-3)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49078680.\nAnswer: 2, 3, 5, 7, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 6390 = 6*a - 2*g - 6366, -4*g = -7*a - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/(-14)*8 + -4. Suppose x = 25*s - 19*s - 1410. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (5 - 24) + 2 + 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2. Let m be ((-20)\/18)\/((-6)\/54). Let v(f) = 13 - 2 - m - 1 - 296*f**2. Calculate h(v(u)).\nAnswer: 87616*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of -h**6\/24 - h**4\/8 - h**2 + h. Let g(u) be the first derivative of d(u). Find the second derivative of g(x) wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*b + 511. Let p = b - 71. Suppose -5*w + p = -46. Solve -4*f = -w + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9102 rounded to two dps?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -96.0247 rounded to 1 decimal place?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p - 2*p - 3*p)*(1 - 1 + 3*p) + 2*p**2 + 2*p**2 - 3*p**2 - p**2 + 0*p**2 - 2*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00136802419 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -91*o - 62. Let m(t) be the second derivative of 89*t**3\/6 + 63*t**2\/2 - 86*t. Let w(k) = -5*c(k) - 6*m(k). Find the first derivative of w(u) wrt u.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -196 - -190. Let q(b) = -9*b**2 + b + 1. Let x be q(-1). Let n be (x - -10) + l\/(-2). Solve -3*c - n*m - m = 10, -5*c + 3*m + 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 93 and 2542?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 2:51 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is e13 (base 16) in base 9?\nAnswer: 4843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 95*j**2 - 331*j - 5. Let o(l) = -98*l**2 + 330*l + 4. Let a(w) = 5*o(w) + 4*x(w). Find the second derivative of a(i) wrt i.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1717*w**2. Let k(a) be the first derivative of 2*a**3\/3 - 963. Determine u(k(l)).\nAnswer: 6868*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9\/8 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12470, -91, 7?\nAnswer: -12470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 55356132.\nAnswer: 221424528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 393974*b - 1. Let f(g) = -277*g**2. What is y(f(v))?\nAnswer: -109130798*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 5:58 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2093\/(-39) + -1)\/(2\/(-21)). What is the greatest common factor of 41 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdhhhgg. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 + -26. Let h = -0.61 + 0.11. Sort 0.3, h, g in decreasing order.\nAnswer: g, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132129761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -710\/3 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3318812 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-12159)\/(-6))\/(12*(-2)\/(-48))?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 11177 - 67517 = 2*n, 3*j - 4*n - 84506 = 0. What are the prime factors of j?\nAnswer: 2, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fifty-five halves of a milligram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 67 + -390?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from bqbblbbllqqqldqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55309*d**2*i**2*z**2 - 3*d**2*i*z**2 - 2524*d*i*z**2 + 10*i*z**2 wrt i.\nAnswer: -110618*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.075183989 less than 0.142?\nAnswer: 0.217183989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4097 and 6346253?\nAnswer: 4097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 8:59 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -14*u**2 + 6*u + 15. Let i(w) = 5*w**2 - 2*w - 5. Let q(n) = 17*i(n) + 6*j(n). Let t be q(-2). Solve -6*p + 5*p = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1249 + 299 = 9*w. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(240)*-1 + sqrt(240))*4 - sqrt(240))*4)\/(-4*-4*sqrt(20)\/sqrt(4)*5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-2)\/((-6)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/1848 and 27\/56.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (10 + -5 - -4) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -8. What is the units digit of 6\/(-4)*4\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.454546 weeks in nanoseconds?\nAnswer: 5113309420800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 30*k - 38*k - 20*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2262 and 6\/(-4)*(10 + 34\/(-3))?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 2011020.\nAnswer: 14077140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -64*u**2 - 1. Let f be i(1). Let q = -509 + 785. Let n = q + f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12514193797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 166042\/123 or 1351?\nAnswer: 1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ieq when three letters picked without replacement from qjjibjmbjjbbe.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*r - 20 = 3*r, -5*r = 3*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19.75 in 0.1, 8\/3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 2*y - 6*y)*(-23*y**2 + 150*y**2 + 47*y**2)*(3 - 6 - 3).\nAnswer: 2088*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, o: 7}. What is prob of sequence uo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.3 - -0.7. Let s = 23.73 - 23.83. Which is the nearest to s?  (a) 3\/4  (b) 1\/9  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2187 - -19715\/9. Let y = 215\/63 - t. What is the nearest to -1 in 1, 6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1131571332 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, i: 9, u: 4}. What is prob of sequence uukk?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2 + 2*j - 2. Let y = -1 - -4. Let c be (2\/y)\/(2\/(-6)). Let x be r(c). Solve -14 = x*d - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5*(-1)\/4*((-100)\/(-10) + -6). Sort -3, -0.4, 133, u.\nAnswer: u, -3, -0.4, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 3*o - 2 = -1, -5*f = 2*o - 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/1 + 2 + 4. Let d(i) = -i**2 - i**2 + 2*i**v - 3 - 4*i + i**2. Let p be d(5). Solve m + 0*m - p = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2598 and 18.\nAnswer: 7794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/540 and 121\/15030?\nAnswer: 90180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-3)*y**1)\/(y**(-3\/2)\/((y\/(y\/y**5))\/y*y)))\/((y**(2\/3))**23\/(y\/(y*(y\/(y**(-2)*y*y))\/y)*y**(2\/5))) assuming y is positive.\nAnswer: y**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**0\/d)**16\/((d\/d**(4\/9)*d)\/d**7) assuming d is positive.\nAnswer: d**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -68.141 plus 53856?\nAnswer: 53787.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 8*t**2 - 3*t - 3. Let k be m(10). Suppose -3*i + 3*q - 4*q + 57 = 0, -k = -3*i - 2*q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + -4. Let p be a\/25 + 6\/10. Solve -z - 15 = -3*k, k - z + 5*z - 5 = p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 11:46 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -10a63a03?\nAnswer: 10a63a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-20))\/(104*42\/451360)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -33 + 1. Calculate the lowest common multiple of x and 11\/((-264)\/(-762)) + (-1)\/(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1\/21)*a)\/a*a*a\/(a\/((a*(a*a**(-6))\/a)\/a)) assuming a is positive.\nAnswer: a**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 - 12 = 11*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 6, 3, -89, -1, 4, 16 in increasing order.\nAnswer: -89, -1, 0, 3, 4, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26109308, 26109307, 26109306, 26109305?\nAnswer: 26109304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3116057761?\nAnswer: 193, 619, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + 10969 - 10969.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1829 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 28 = -6*c. Find the second derivative of 5*g**c + 56*g**2 - 170*g**2 + 98*g wrt g.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101274 is divided by 4034.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - (18\/10)\/1. What is the nearest to -2 in 2, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/1712 and -25\/4401766.\nAnswer: 35214128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 9:18 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6161?\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of -4099*j**6\/120 - j**5\/6 + j**4\/24 - 5*j**3\/3 - j**2. Let z be r(10). What is z rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*o = -2*o + 8, -4*o - 20 = -4*n. Let q(y) = -y**2 + 5*y - 6. Let a be q(4). Let b be 28\/(a\/n) - -3. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 4*t + 297 + 65 - 95, -471 = -2*t - 5*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 94 + -186. Let o = v - -91.9. Let t = 0 - 3. What is the closest to o in 5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3822 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 568056?\nAnswer: 2, 3, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4104274*j**2*y**3 - 739691*y**3 wrt j?\nAnswer: -8208548*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h + 109053 - 111782 - 4*h in the form o*h + f and give f.\nAnswer: -2729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000045380204 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 91 - -155. Let u be j\/12 + 3\/(-2). Suppose -5*y - 5*d + 36 = -u, 4*y - 5*d - 80 = 0. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237*a - 157224 = -40893 + 62367. Calculate the remainder when 3019 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1588, -3302, -5016, -6730, -8444?\n\"Answer: -1714*w + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 4:35 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*q = -104, 6*b - q = 2*b - 99. Let s = -20 - b. Solve s*h = -13 + 33 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j**2 + 26*j + 4. Let d be (-11)\/(-1) - (-6 - (-2 + -2)). Let f be o(d). Suppose -f*u - 9 + 73 = 0. Solve -3*a - u = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27040 is divided by 114.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7c1 (base 13) to base 7\nAnswer: -3623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52443807 a multiple of 4979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11084 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/9 and -17\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(3) + sqrt(3) + sqrt(1920)\/sqrt(10)) - (-5 + sqrt(147) + 2)**2.\nAnswer: -156 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*r + 12. What is the greatest common factor of 72 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -13 - (25 + -73 - -46).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1010333032 - 0?\nAnswer: -1010333032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 y when three letters picked without replacement from {h: 3, f: 4, b: 3, y: 5, l: 4, q: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1658 divide 327607536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19338 and 8790?\nAnswer: 96690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-7))\/((-840)\/(-19600))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d\/(d*d**12*d))\/d)*d)\/((d**45\/d)\/d) assuming d is positive.\nAnswer: d**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2565 + 2569. Let w = 3 + 2. Let y be 2\/w - (-31)\/(-15). Put j, y, 2\/3, 0.1 in descending order.\nAnswer: j, 2\/3, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 76\/16851, -2?\nAnswer: 76\/16851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 231\/33 - (-242)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/4)\/(1\/(-4)). List the prime factors of (-9)\/15*(-7 - j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 8*c**2 - 95*c + 650. What is d(8)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + -10403?\nAnswer: -10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 193860.6km in meters?\nAnswer: 193860600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -445, -981, -1879, -3139?\n\"Answer: -181*f**2 + 7*f - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3510 and 455.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.037197 hours to nanoseconds.\nAnswer: 32533909200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -644\/5 + 652\/5. What is h in k + 2\/5*h**2 + 8\/5*h = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -3, -m = 3*m + 5*k - 33. What is the common denominator of (m\/(-14))\/((-8)\/116) and -9\/182?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 - 115*k - 396. Give g(119).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 104470969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284 - 837 = 698*t + 1541. Let j = -0.03 - 0.07. What is the fourth biggest value in t, -0.2, 0.05, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 54 - 18 = 0. Suppose 3*t - 12 - 15 = 4*z, -2*t + u = -3*z. Let v be 1*(-3)\/t*0. Solve 2 = l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9610.8 + 9610.7878941. What is g rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4628102 to the power of 1\/2, to the nearest integer?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 1:34 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7232543 is divided by 390?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -4\/9  (c) 12\/91  (d) 4  (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 0*c - c - 176, 5*b - 209 = 4*c. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -232, 5 in decreasing order.\nAnswer: 5, -13, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j - j + 2 + 7*j. Let l(v) = -7*v + 11. Let i(b) = -10*b + 16. Let w(d) = 5*i(d) - 7*l(d). Let k be w(5). Give n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*l - 5*d = -15, -5*l + 3 = d. Suppose -22*b + 14*b + 496 = l. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v + 2. Let p(h) = h - 1. Let z(n) = 2*c(n) + 5*p(n). Let x = -2 - -1. Let q(g) = -g + 3. Determine x*q(m) - 3*z(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819558821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 647*u**2 + 4*u + 21. Let s(y) = -322*y**2 - 2*y - 13. Calculate -3*a(h) - 5*s(h).\nAnswer: -331*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 374222, 748554, 1123100, 1497968, 1873266, 2249102?\n\"Answer: 18*l**3 - l**2 + 374209*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 755 - 214. Let s = c - 544. What is the closest to s in -2\/5, -1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 217.5445t to milligrams.\nAnswer: 217544500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 125351022052969\nAnswer: 125351022052968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/216 and 52\/6*26\/(-2808).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l - 4 = -40. Suppose -5*c = 4*v - 0*c - 75, -110 = -l*v + 2*c. Solve 6*t = t - v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/((-47)\/3478). Differentiate -25*d - 52 - 134*d + v*d wrt d.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -115486\/17 or -6792?\nAnswer: -6792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -1441*k**2 + 2886*k**2 - 1440*k**2. Let g(u) be the first derivative of -32*u**2 - u + 249. Give x(g(v)).\nAnswer: 20480*v**2 + 640*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 15092441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05*0.091.\nAnswer: -0.00455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.46 in 5\/18, 1\/3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5040 = 6529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + ((sqrt(44)\/sqrt(4) - sqrt(11)) + 0 - sqrt(11))**2 - (sqrt(33)*-2)\/sqrt(3).\nAnswer: 3*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 165 + 4*u - 7*u - 165. Let q(t) = -101*t. Give q(p(c)).\nAnswer: 303*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m - 4*m + 0*m + 2*m - 5*m + 2*m + (m - 6*m + 3*m)*(-4 + 1 + 5) + 6*m - 6 - 3*m + 1.\nAnswer: -9*m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 12367*a + 234647. Determine m(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -2*y + 6, -5*y + 0*b + 15 = 3*b. Suppose -4*r + 24 = -2*w + 7*w, -3*w + y*r + 9 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 71668 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 361, 844, 1529, 2416, 3505?\nAnswer: 4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24077 is divided by 6007?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1991, -1967, -1943?\n\"Answer: 24*b - 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 9*b**2 - 9*b - 65. Suppose 0 = 3*y + s + 2*s + 27, -4*y + 3*s = 36. Calculate the lowest common multiple of 44 and m(y).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 850 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3*w**3 - 26*w**2 + 0 + 12*w**2 + 22*w**2 + 2*w to the form m*w**2 + q*w + n*w**3 + o and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 2\/11  (c) -17  (d) -3840  (e) -4  (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*r**2 + 24*r**2 + 65*r**2)*(24 - 49 - 76).\nAnswer: -11514*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 43503228?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23375?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 112221259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 1. Let l be k(-2). Let f be (-3)\/l*-1 + (1 - -2). Factor -22\/3*p - 20\/3*p**3 + 92\/9*p**2 - 2\/9*p**5 + 2 + f*p**4.\nAnswer: -2*(p - 3)**2*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + 42 - (0 - -2). Suppose 4*o - 155 = 5*w, -o + 131 = -3*w + t. List the prime factors of (-305)\/(-45) - 6\/w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u**2 + 43*u + 96. Let h be i(16). Solve 16 = -f + 3*z, -20*f + 19*f - 5*z + h = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhrdrihdghdhh. What is prob of sequence iddh?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 791\/16 - 9971\/80. Let v = -78 - u. What is the common denominator of 21\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46161*f**3 - 1614*f + 1614*f.\nAnswer: 46161*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*i + 2*u, 8 - 4 = -2*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from plxpkllpktklxpktp. What is prob of picking 1 k and 1 p?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -147 from 2947423.\nAnswer: 2947570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 98397540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 14*r**2 - 12*r + 172. Let i be u(14). Solve 0 = -i*n - 2*p + 7*p - 37, p = 3*n + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, -21, -1\/6, -17, 1\/4, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -90193 (base 14) to base 10\nAnswer: -346069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -0.3, 0.5, 55.9, -0.2 in descending order.\nAnswer: 55.9, 2\/3, 0.5, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -34.6  (b) -0.6  (c) -1\/4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9449051, 18898102, 28347153, 37796204, 47245255, 56694306?\n\"Answer: 9449051*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18793822 is divided by 24033?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 2*v**2 - 25*v + 10. Let c be s(10). Let u = -557 + c. Solve 19 + 3 = 5*l + 4*g, -3*g + 3 = -u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 10. Let m be 6\/u + 45\/10. Solve -4*c**m - 2 + 4*c**5 + 3*c**2 + 4 + 6*c**4 - 11*c**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3*k - 3. Let x be c(2). Suppose 3*g = -3, 16 + 0 = x*d - g. Factor -3*l**5 - 3*l**2 - 58*l**4 + d*l**3 + 61*l**4 - 2*l**3.\nAnswer: -3*l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a + 0*a - 4053*a**2 + 3989*a**2 as s*a**2 + u*a + h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 21 + 12 = 2*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7371 divided by -91.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -1\/2 + 107\/4*u - 53\/4*u**2 = 0.\nAnswer: 1\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -250387.2?\nAnswer: -250387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 763854782 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 134045.0492 rounded to the nearest 1000?\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3\/3 - 1114776*p**2 + 22295120*p - 334424800\/3.\nAnswer: 4*(p - 836062)*(p - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -10 + 6*q - 8*q - 48*q**2 + 7 + 0 + 4. Give v(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5))**(-42) assuming c is positive.\nAnswer: c**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 528910024, 528910020, 528910016, 528910012?\nAnswer: 528910008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 3\/5, 0, 3\/17, -3, 377, 2\/59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 4*z. Let r = 5 + -8. Let c be p(r). What is the common denominator of -13\/9 and ((-3)\/(-4))\/(c\/26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12400 by -3100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 261982033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 38. What are the prime factors of (-104 + -2)*6\/c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 709183.\nAnswer: 47, 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/3723 and 1\/511.\nAnswer: 26061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20671*a*g**2 + 47*a*g - 236173*a + 2*g**2 + 3*g + 2 wrt g.\nAnswer: 41342*a*g + 47*a + 4*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 6*t - 2*t - 3*w, 5*w + 14 = t. Let c = -14 + 20. What is the remainder when c is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 8:55 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 203, 173, 141, 107, 71?\n\"Answer: -o**2 - 27*o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 11\/6*p - 5\/3*p**2 - 1\/6*p**3.\nAnswer: -p*(p - 1)*(p + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3*r - 1)*(2 - r - 2)*(377 + 2*r - 377) in the form l*r + n*r**2 + q*r**3 + w and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -164 - -161. Let q be ((-4)\/(-24))\/((-2)\/y). Find h such that -1\/4*h**5 + q*h + 0*h**3 + 1\/2*h**4 - 1\/2*h**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.36, 1, -2\/11, 4\/9, 3\/4.\nAnswer: -0.36, -2\/11, 4\/9, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30*n**2 + 607*n - 607*n - 4*n**3)*(3 + 3*n - 3)*(0 - 1 + 2) to z*n**3 + y*n**4 + h*n + p + s*n**2 and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1316)\/(-376)*1\/(-77)*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 - (-1 + 0\/(-1)). Find the second derivative of q*s - s - 3*s - 2*s**2 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eqw when three letters picked without replacement from {h: 2, e: 3, w: 5, q: 1, n: 5}.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(-165)*5\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-6*(sqrt(180) + 0 + sqrt(180))**2*3 + -1 + (-4 + 4*sqrt(5)*-1)**2).\nAnswer: -160*sqrt(5) + 64325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + u + 19 = 0, 0*u = -3*x - 2*u + 16. Let l(c) = -c**3 + 32*c**2 - 208*c + 179. Let a be l(23). Suppose -x*k - a = -8*k. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 - 5*k + 9. Let i be d(-6). Suppose -t + i*t = -3*u + 71, 0 = 4*t + 4*u - 132. Let r = 30 - t. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 0)*-1 - 5. Let s = 8 + t. Let p be -2 + 1 + 2 - -9. Solve -4*i - 3*b = -6*i + 11, 4*b = -s*i - p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:37 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 241*a**2 + 66*a**2 + 113*a**2 + 200*a**2 - 1 in the form t*a**2 + k*a + s and give t.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 10:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 283290 divided by -95?\nAnswer: -2982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 - -3.6. Let d = -528 - -536. Let f = 7 - 12. Which is the second smallest value?  (a) w  (b) d  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1940508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 1779 = 6561. Let p = 235911\/296 - v. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -s**5\/10 - 13*s**4\/18 - 8*s**3\/9 + 4*s**2 - 25*s - 6. Factor g(v).\nAnswer: -2*(v + 2)*(v + 3)*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36246.\nAnswer: 2, 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/7814885 and -10\/4688931.\nAnswer: 23444655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -354, -1473, -3352, -5991?\n\"Answer: -380*x**2 + 21*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4 = -2*v. Let a be -2 + (-6)\/33 - v. What is the third smallest value in 0.3, -3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2958 and 57188.\nAnswer: 171564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52537 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-3)*t**(-9)*t*(t\/(t\/t**6))\/(t**10\/t) assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 447 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, u: 1, p: 2, b: 2, m: 6}. Give prob of sequence mzb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 35520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q. Is 20 a factor of x(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 777 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 49285 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 2\/5*z**5 + 7\/12*z**4 + 0*z**2 + 0*z**3 - 3*z + 0. What is the third derivative of q(u) wrt u?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86657 is divided by 43304?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5*q + 1. Suppose 0 = -3*t + 12 - 0. Suppose -2*f + 6*f - 2 = 2*y, 10 = -t*y + 2*f. Let k(z) = -4*z - 1. Calculate y*s(b) - 4*k(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*m + 7 - 37, 0 = 4*j - m + 15. Let x be ((-5 - -16) + -12)*-11. Suppose -2 = -2*y - 6. Sort y, j, x in descending order.\nAnswer: x, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44.5 + -50.04. Let k = s - -0.64. Let n = -4.802 - k. What is n rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16259476, 32518948, 48778420, 65037892, 81297364?\nAnswer: 97556836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 5. Differentiate 3 + 6*k**3 - o - 2*k**3 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i - 68*i**2 - 79*i**2 + 53 + 2*i - 14*i**3 + 2*i**3.\nAnswer: -12*i**3 - 147*i**2 - 6*i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -57 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.509623nm in centimeters?\nAnswer: 0.0000001509623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 5280.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + 0.2. Let u be (-6)\/8*(2 + 5 - 6). Which is the closest to 1\/2?  (a) 1  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**2 + u**2 - 4*u**2 + u - u**2. What is n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3062?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than -8530108892088?\nAnswer: -8530108892091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1022721011.\nAnswer: 13, 78670847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/14 - 336\/(-2205)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*u**4 - 1520*u**3 - 90030*u**2 - 175480*u - 86975 = 0. What is u?\nAnswer: -49, -1, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 31*x + 17. Is n(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1539 - -1514. What is the closest to -1\/4 in 1, 1\/7, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1203240 - 241312?\nAnswer: 411423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 0*p**2 - p**3 - 5*p + 13*p**2 - 2*p**2 - 9. Suppose -31 = -8*h + 33. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l**2 + 5*l + 3. Suppose -4*c + 2*m + 12 = 0, -2*m - 10 = -4*c - m. Let r(q) = 4*q + 2 + 0*q**2 - 1 + 2*q**c + 1. What is -4*r(n) + 3*x(n)?\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1069 divided by 4\nAnswer: -1069\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4658 + 17558. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of 5*m**3 + 3*m. Let l be w(3). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1172 + 1464. Let c = 291.9864404001 + 0.0136865999. Let s = c - v. What is s rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wfww when four letters picked without replacement from wfwwwwwwwwwwwwwwwww?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 7*y - 14. Let v be x(-9). Sort 2, -4, v.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 5*x**2 - 8*x + 1. Calculate m(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 27) + 2 + 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**2 + 16*u - 279. Let i(v) = 4*v**2 - 35*v + 558. Determine 6*i(x) + 13*p(x).\nAnswer: -2*x**2 - 2*x - 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 439 = 143*w - 1706 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 10, 6*p - 4*m = 2*p - 1216. Suppose 8*k + 25200 = -7*k. Let a = p - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**4 + w**4 + 2*w**4)*(-w + 102 - 106 + 5*w)*(13 - 45 - 21).\nAnswer: -212*w**5 + 212*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36769, -73457, -110159, -146875, -183605?\nAnswer: -220349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 6 - 11)*(79 - 165 - 3*v + 83).\nAnswer: 60*v + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(441)\/sqrt(7)*5)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -0.2  (c) 3  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -5647.69173 to the nearest ten.\nAnswer: -5650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -w**8\/840 + w**6\/120 - w**3\/3 - 2*w. Let i(r) be the second derivative of v(r). What is the third derivative of i(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-34)\/13566*-56*(-30)\/82 and 52\/5?\nAnswer: 3895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z**2 + 8*z**2 - 36*z**3 + 37*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 600 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 603542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.998 + -68.998. Sort -0.07, -2\/11, k in ascending order.\nAnswer: k, -2\/11, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 176, 281, 448, 683, 992, 1381, 1856, 2423?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2*c + 2)*(3*c**3 - c**3 + 0*c**3) + 16 - 16 - 10*c**4 as u + d*c + q*c**4 + a*c**2 + b*c**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {m: 2, s: 2, q: 1, t: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -94074076943.\nAnswer: -94074076942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 9*s - 36. Let x be d(13). Suppose p = 3*p - 32. Is p at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -49*m + 1356. Calculate the smallest common multiple of 18 and n(15).\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + -52232?\nAnswer: -52251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 123018082 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l**5 - 29610*l**4 + 218832318*l**3 + 5267710228*l**2 + 9878805057*l + 4829956758 = 0. Calculate l.\nAnswer: -22, -1, 14817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.64 in -2, 0.1, 985, -0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11005679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of j**8\/112 - j**7\/14 + 9*j**6\/40 - 7*j**5\/20 + j**4\/4 + 22*j**2. Factor z(d).\nAnswer: 3*d*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 2*c = -3*t + 9, 2*c = -2*t - 4. Let z be (-6)\/9*(-5 - t). Put 9, -4, z in descending order.\nAnswer: 9, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 23 + (-2 + 0)\/((-12)\/(-18)). Suppose g = -3*b - 11, 3*g - 12*b + u = -8*b. Let n(h) = -h**2 - 10*h + 10. Determine n(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 112 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-3))\/((-37)\/(-777)). Solve -20 = 3*n - j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 7*s. Let k be m(6). Let f = 68 - k. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b**3 + 3*b**2 - 4*b. Let l(d) = -d**2 + d - 1. Let y(h) = 9*h**3 - 10*h**2 + 12*h - 3. Let v(z) = 3*l(z) - y(z). Determine -5*s(a) + 2*v(a).\nAnswer: 2*a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-175)\/(-225))\/((-16)\/(-36))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 133  (b) 9  (c) -2\/7  (d) 0.4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6177*t**3 - 22745*t**2 wrt t.\nAnswer: -37062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 - -4. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccp when three letters picked without replacement from {c: 5, h: 3, p: 1, a: 1, t: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(484) - (sqrt(484) - sqrt(484)*-1)*4) + sqrt(484) + sqrt(484))*4)\/(5*(sqrt(396) + (sqrt(396)*1 - sqrt(396) - sqrt(396)) + sqrt(396))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + -4 - (-4)\/(-29). Let f = 73\/319 + t. Find the common denominator of -23\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.014.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 245854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 337.01805 microseconds to hours.\nAnswer: 0.000000093616125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.4 in 39, 5\/2, -5, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1821 - -1823. Sort -312, d, 4.\nAnswer: -312, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*b = -27. Let n = -16 + b. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 47.5 - 22.9. Let z = v + 4.4. Let j = -31 + z. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -465777.0796 - -10\nAnswer: -465767.0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(36))\/sqrt(6))\/(sqrt(72)\/sqrt(4)) + 4 + ((sqrt(48) + sqrt(48) + -1*sqrt(48))**2 - (-1*sqrt(3) + -1)).\nAnswer: 2*sqrt(3)\/3 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76 by 6.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5768, -23323, -52632, -93737, -146680, -211503?\n\"Answer: -7*u**3 - 5835*u**2 - u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 13*m**3 + 100*m**2 + 68*m - 43. Let l(g) = 18*g**3 + 135*g**2 + 91*g - 57. Let u(n) = 8*l(n) - 11*t(n). What is u(21)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1957 - 1058. Suppose a = -30 + y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 759 + -309. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4\/5 + 2\/5*d**3 + 6\/5*d**2 - 2*d - 2\/5*d**4 = 0 for d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1\/6 - (-4)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95532325.\nAnswer: 5, 7, 545899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -524101 or 4270?\nAnswer: 4270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36*g*o**2 + 37*g*o*y - 2*g - 4*o**2*y + 2*o wrt y.\nAnswer: 37*g*o - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 0) + 4\/2. Suppose -g*q - 15 = -7*q. Let h = 11.3 - 13.3. Which is the third biggest value?  (a) h  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008024 times 4?\nAnswer: 0.032096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (-2 - -1) - (-10 - -7). Sort j, -4, 0.\nAnswer: -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 39.5 or -0.32?\nAnswer: 39.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c**3 - 26*c**3 - 6*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 595*r**4\/4 - 1865*r**2\/2 + 497. What is the second derivative of v(x) wrt x?\nAnswer: 3570*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 4*p**2 - 38*p + 50. Let j be o(8). Solve 0 = 5*a - 6*a - i - 7, j*a + 4*i = -22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - o**3 + 3 - 4*o**3 + 3*o**3 + 4*o**3 + (o**3 + 3*o**3 - 3*o**3)*(-5 + 1 + 5) - 51*o + 6*o**3 - 4*o**3 + 55*o.\nAnswer: 5*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*g**3 + 51*g**3 - 7*g**3 + 5*g - 100*g**4 - 6 wrt g.\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**2\/5 + 45226296*f\/5 - 170451487489968\/5 = 0. Calculate f.\nAnswer: 7537716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -26852?\nAnswer: 26857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/(-80) + (-509)\/(-5). Let r = -117 + x. Let f = 118 + r. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 11*y**2 - 4*y + 26. Determine n(-11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 24*x**2. Let m(j) = -j - 32469. Calculate m(z(a)).\nAnswer: -24*a**2 - 32469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeewwweeeewewewee. Give prob of picking 1 e and 1 w.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 14. Calculate the remainder when 57 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75718, 151429, 227102, 302725, 378286?\nAnswer: 453773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*b**2 - 3 - 3*b**4 - 4*b - 69*b**3 + 4 + 37*b**3 + 35*b**3 + 22*b**2 to p*b + i*b**2 + j*b**3 + o*b**4 + a and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67119, -134239, -201359?\nAnswer: -268479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3 = 0, 3*q + 5*t + 6412717 + 2917298 = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 11*j**2 + 10*j - 29. What is f(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 11*j**2 - 5*j + 2. Let r be 75\/45 - (-46)\/(-6). Let o be (-162)\/(-27) - r\/((-3)\/1). Let w(f) = 10*f**2 - 4*f + 2. Calculate o*k(i) - 5*w(i).\nAnswer: -6*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2002652 is divided by 3155?\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66*w**3 - w**2 + 34?\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -379 + 383. Let d(g) = -m - g - 8 + 1. Calculate d(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.829 + -0.171. Let n = -5.6 + 4.8. Put m, n, 2\/17, 2 in descending order.\nAnswer: 2, 2\/17, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 115*l + 2*l**3 - 72*l - 42*l + 726*l**4 as m + w*l**3 + y*l**2 + k*l + x*l**4 and give x.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 175387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + -3. Let v = 0.66 + 0.34. What is the nearest to 0 in 5, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*u**4 - 466*u**3 - 67*u**2 + 194*u wrt u?\nAnswer: 264*u - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71102473 is divided by 14038.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23.11 - -0.11. Let g = x - -22.8. What is the second biggest value in g, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9618, -9664, -9716, -9774?\nAnswer: -9838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 34 + 200. Solve 11*p = 18 + t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -11*d - 6 + 16 + 1. Let w(m) = 5*m - 5. Let u(o) = -6*c(o) - 13*w(o). Let b(l) = 2*l - 3. Give -b(r) + u(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46.13 - 46.4. Is 0.02 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51994531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jzzzzjzz. What is prob of sequence zzj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 3:12 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1804 (base 9) in base 16?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -75\/452 + 218771\/1323908. Let f = n - -9005\/319261. Is 0 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/13060?\nAnswer: -1\/13060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -168 + 177 + (-31 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -r**6\/540 + 2*r**5\/45 - 5*r**4\/12 + r**3 + r**2\/2 + 36*r + 1. Let w(i) be the second derivative of k(i). Factor w(p).\nAnswer: -2*(p - 5)*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -2, -24 in ascending order.\nAnswer: -24, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s**2 - 10*s + 21. Let p be h(5). Let a = -95 - p. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 2*b = 13, 0 = g + b + 4 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from {t: 4, j: 5, a: 2, d: 2, i: 7}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -12. Suppose 3*c - 3*d - 9 = 0, k*c + 4*d - 11 = 1. Suppose -g + c*g = 6. Solve 0 = i - h + g*h - 5, h = -3*i + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -324, -783, -1438, -2289, -3336?\nAnswer: -4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*(0 + -2 + (-112)\/(-35)). Is (t + 192\/9)*(-174)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*v**2 - v**2 - v**2)*(998 + 1004 - 2001 + 2289*v) to the form t + m*v**3 + h*v + g*v**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q + 2. Suppose 4*b + 29 = -27. Let x(h) = 2*h + 2*h + 5 + h. Let c(s) = -s**2 - 6*s + 6. Let v be c(-6). Give b*z(w) + v*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**3\/11 + 8*y**2\/11 + 8*y\/11 = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44801226 + -3?\nAnswer: 44801223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 66731, 66729, 66727, 66725, 66723, 66721?\n\"Answer: -2*a + 66733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1829 or 1340?\nAnswer: 1340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/((-23)\/138) - 5\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11101 (base 9) in base 5?\nAnswer: -213442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 224947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3581 from -4.\nAnswer: -3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 5:45 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 (base 13) in base 7?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*a - 9, -2*x + 2*a - 4 = 0. Suppose 0 = 2*h + 3*r + 34, -x*h = h - 5*r + 32. Let m = 32 - h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -11*y + 2. Let z be q(6). Let u = z + 66. Let k(x) = -12*x**2 + x**3 + 19*x**2 - 8*x**2 - u. What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7 - 1)*(-495)\/(-22). What are the prime factors of (7 - 1)\/((-30)\/m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 398 - 346. Let g be 13\/(h\/(-8)) + 2. Suppose 0 = -w + 6*w. Solve g*s + 3*s = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2723 = 563*w + 11352 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*v**2 + 44*v**2 - 135*v**2)*(-101*v**2 + 70*v**2 + 30*v**2 + 85*v).\nAnswer: 41*v**4 - 3485*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83\/(3486\/126)*(-60)\/9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(209)\/(sqrt(33)\/sqrt(3)) - (sqrt(171) - ((sqrt(171) - (sqrt(171) + (sqrt(171) + sqrt(171)*2 + sqrt(171))*2)) + sqrt(171)))\/sqrt(9).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1999\/15 - 658\/5. Which is the nearest to 2?  (a) p  (b) 8  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/(-5148)*(-14 + -31)?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 3*g**2 - 3*g. Let i be r(-2). Let k = i - 3. Let z = k - -16. What is the highest common factor of z and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -6*l**3 + 174*l**2 + 16*l - 480. Determine j(29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(1*sqrt(175) - (-2*sqrt(7) + sqrt(7) + -3)))**2 - (-3 + (-5 + sqrt(567)*4 + sqrt(567))**2))*6.\nAnswer: -83616 + 2916*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 3*k + 14, -2*w + 25 = 3*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46759563 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 2, 5, -50, 6 in descending order.\nAnswer: 6, 5, 2, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -517780*q**2 - 2034155*q wrt q.\nAnswer: -1035560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 7:50 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -21 - 1 - 5 + 10 + 2 - 21*v. Let k(j) = j + 4*j - 2*j + 2. What is -15*k(f) - 2*q(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 1444*l**2 + 61524*l - 106406. Calculate g(-1400).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 15828 = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/((-420)\/(-36)))\/(6\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i + 56. Let k be 9*(-1 - -3 - 0). Let t be o(k). Solve t*p + 5*j = -8, 1 = p + j + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -24\/867287 and 34\/3193?\nAnswer: 89330561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 14.0000022. Round l to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2835*t - 1233*t - 133*t = 241944 - 27693 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*z + 54 = -69*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 4*j + 31 - 59, 0 = -3*j - 3*o + 24. Suppose -y - 3*y + j = 0, -2*y - 3 = -3*u. Solve u*x + 12 = 0, -3*x - 4 = -2*h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26598, -26569, -26540, -26511, -26482, -26453?\nAnswer: -26424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 6487001.4 to the nearest 1000.\nAnswer: 6487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*d**3*p**2 - d**3 + 493*d*p**3 + 3*d - 5243 wrt p?\nAnswer: -20*d**3*p + 1479*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qpkpv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5*1*(sqrt(200)*-2*2 - sqrt(200)))**2*-5.\nAnswer: -625125 + 12500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(-1\/30))*s*s*s**(-19)*s*s)**44)**(-6\/7) assuming s is positive.\nAnswer: s**(19756\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-162)\/8 - (-10 + 351\/36). Let x be (3 + 2 - 2)*(2 + -1). Sort 1, 4, u, x in descending order.\nAnswer: 4, x, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 355307940 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17097771?\nAnswer: 3, 31, 157, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 1103970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45041\/1430 - 2\/715. Find the common denominator of 111\/20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 56416424*s**5 - 117*s**2 - 18793*s - 7 wrt s.\nAnswer: 3384985440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-21)*(i*i\/(i\/(((((i**(1\/5)*i)\/i)\/i*i*i)\/i)\/i))*i*i)\/i assuming i is positive.\nAnswer: i**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -789*c**3 + 485.\nAnswer: -2367*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**25)\/((c\/(c\/(c\/c**(-1))*c))\/c*c)*(c**(-16)*c)**(-2\/73) assuming c is positive.\nAnswer: c**(-1795\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 306712 = 307198 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from llnnlllllnllll?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11342 (base 5) to base 16.\nAnswer: -34f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-165)\/22 + 7)\/(1\/(-6)). Suppose 23*x + d*x = 78. Solve -5 = -x*p - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -3*r + 13. Let g be q(3). Let o = -2 + g. Find p such that 2*p**o + 46*p + 2*p**2 - 62*p + 16 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -120 + 195. Suppose 0 = 4*v + v - g. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3598 - 2938. Is 35 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (41\/2)\/((-6)\/4). Is -14 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 1.94. Suppose 4*r = -5*s + 15, -r - 1 = 2*s - 7. Which is the nearest to r?  (a) y  (b) 5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175 = -z + 6*z. Let g be -1 + (0 - (-57)\/(-3)). Let b = z + g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3120148488 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 12, 1, 0, -12.\nAnswer: -12, -2, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f + 29. What is v(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 52\/208*(-12)\/(-1). Suppose 0 = -2*s - 4*g + 200, l*g - 431 = -5*s + 69. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -536 + -4?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -77*a**4 + 77*a**4 - 47*a**5 - 23*a**5 + 0*a**5 - 2*a**5 + 3*a**5 + (3 + 2*a**2 - 3)*(-a**3 - 4*a**3 + 3*a**3).\nAnswer: -73*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06 - 1.74. Which is the second smallest value?  (a) y  (b) -2\/9  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -27c9 + -5a?\nAnswer: -2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10981049*b**3 + b - 376912 wrt b?\nAnswer: 65886294*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 795656.\nAnswer: 2, 271, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2648171 millimeters to micrometers.\nAnswer: 264.8171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2. Let l(w) = -123*w**2 - 279*w**2 - 1489*w**2. Calculate l(y(g)).\nAnswer: -1891*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (7 - (-8 + 10)) + 34 + 8\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/5 + 1759*h**2\/5 + 150944*h - 3326820.\nAnswer: (h - 21)*(h + 890)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**13*q\/(q*(q*q\/(q\/(q*q**3)*q*q)*q)\/q*q))**(-47) assuming q is positive.\nAnswer: q**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -16*n + 200. What is the smallest common multiple of 285 and f(10)?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/(sqrt(7)*-1))\/(sqrt(250) + -1*sqrt(250) + sqrt(250)) + (-2*sqrt(288))**2*-3*-2.\nAnswer: -sqrt(2)\/5 + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223460 + 78789 = -116*a + 179781. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*a + 5*o - 60 = -51*a, -4*a + 64 = -4*o. Calculate the remainder when 1761 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((-1*sqrt(187))\/sqrt(11) - sqrt(17)) + 0 + sqrt(51)\/sqrt(3) + 0 - 3*(3 + (sqrt(1377) + -1)*6))**2.\nAnswer: -3006*sqrt(17) + 474194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7442890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*p**3 - 3*p + 3*p + 38*p**3.\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5341135 (base 9) to base 12\nAnswer: -b5bb12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3544317 - 3544317 + 14684*t as g*t + z and give g.\nAnswer: 14684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 7) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + i - 22 + 49.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -127210 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -352 divided by 4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66770?\nAnswer: 2, 5, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3259400536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 142*i**2 + 9086*i - 107. What is c(-64)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -7. What is the remainder when 78 is divided by (-75)\/t*(1 + (-3)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/25?  (a) -37  (b) -1  (c) 6  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 490 and 3?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -5*x + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 9:41 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, h: 6}. Give prob of sequence hh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7528*-2.364\nAnswer: -17796.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9969 is divided by 398.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 - 5*k**2 - 5*k - 5. Give x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -8, 3\/5, -25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 - j - 4. Let u be s(5). Let b(f) = -6*f**3 + 4*f**2 + 10*f - 16. Let q(g) = 2*g**3 - g**2 - 3*g + 5. Let y(n) = u*q(n) + 5*b(n). Factor y(p).\nAnswer: 2*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -1) + 0 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*f**2 - 332*f**2 + 163*f - 54*f.\nAnswer: -229*f**2 + 109*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21018\/37 + 568. What is the smallest value in w, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11766, -23527, -35288, -47049?\nAnswer: -58810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3916001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**4*c*c\/(c*c**(-7)))\/((c*c**(2\/23))\/(c\/((c**(-3)*c)\/c))))**(2\/93) assuming c is positive.\nAnswer: c**(364\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 + 19 + 19 - 30*v**3.\nAnswer: -30*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -21141 divided by -87?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -229, 13, -4, 2, -3 in descending order.\nAnswer: 13, 2, -3, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-22)\/6)\/(-5 + 76\/12). Suppose 0 = 26*r + 14 + 38. Are r and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169017969?\nAnswer: 3, 47, 337, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f - 706*f**4 + 706*f**4 + 10*f**5 wrt f?\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.6071587 millilitres?\nAnswer: 0.0006071587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/sqrt(275))\/(sqrt(500) + sqrt(500) + sqrt(500)*1 - sqrt(500)) - ((sqrt(2) - (sqrt(2)*-4 + -5 - sqrt(2))) + (sqrt(2) - (sqrt(72)*-1)**2)).\nAnswer: -699*sqrt(2)\/100 + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*w - 1308 = -62*w. What is the remainder when 432 is divided by w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -5)\/(6\/4). Suppose -2*g = p*g - 28. Suppose 4*v + 4*c = 244, 5*v - 4*v = 3*c + 69. Calculate the highest common factor of v and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*i + 14*i - 1 - 10*i + (-3 + 3 - i)*(1 - 6 + 2).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55 + 55.29. Let f = 0.09 - l. Let q = 2.9 + -3. Put f, 3, q in decreasing order.\nAnswer: 3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/180 and -179\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/1592 and -49\/19104?\nAnswer: 19104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210627 (base 8) to base 6.\nAnswer: -1300131","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -2*i + 4, -4 = -2*i - k - 2*k. Let p be (-3)\/12 - 81\/(-4). Suppose -v - v = -p. Solve -v = -3*q + i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 12:40 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 270 and 1041190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b**3 + 18*b**2 + 31*b + 5. Calculate i(8).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and -108249.\nAnswer: -108249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1332840 and 48.\nAnswer: 2665680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6, n: 2}. What is prob of picking 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -641*z + 638. What is q(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 1 - 1)*(6*z**2 - z**2 + 5*z**2) - 3*z**2 + 584 + z**3 - 584 - 4*z**3 + 4*z**3 - 2*z**3.\nAnswer: 9*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 0, 3*t = u - 2*u. Suppose -4*l - 11 - 13 = u. Sort 5, 6, l in decreasing order.\nAnswer: 6, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/18 and -29\/3411171.\nAnswer: 6822342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + -251 + 242 + -1 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -26 + u**2 + 25*u**2 + 3 - 2*u**2 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than or equal to -1421707\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 5*h + 5, h = z + 4*h - 29. Suppose 12*u - 17*u = -z. Suppose 0*x + 3*i + 10 = 2*x, 12 = 2*x - u*i. Solve -4*n = -3*n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f - f**2 + 6*f + 3.\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*g + g**3 + 29*g + 2*g**2 + 2 - 14*g + 1 - 127*g in the form c + y*g + j*g**2 + k*g**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01906679197 rounded to 5 dps?\nAnswer: -0.01907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1810819472483 and -254?\nAnswer: 253.8189180527517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7*(1 + 0 + -8). Let m = -3415 - -3370. Let a = w + m. Solve -s + 5*c = -2*s - 5, -2*s + 4 = -a*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -232a?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**2 - 3*g - 20. Let r = -7496 - -7500. Let f(v) = 5*v**2 + 4*v + 21. Give r*u(i) + 3*f(i).\nAnswer: -i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -120311, -240894, -361491, -482108, -602751, -723426, -844139?\n\"Answer: -j**3 - j**2 - 120573*j + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1163.23 and -1.\nAnswer: 1162.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*s - 60. Suppose -5*f - 43 = 2. Let r = f + 13. Solve s = -v - r*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8756*l = -8765*l + 44199. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 386226436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(2*-6)*(-6)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 16. Suppose u = -2*q + q + 120. Suppose -74 - 36 = -2*o - 4*c, 2*c - q = -2*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 180011 - -5?\nAnswer: 180016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 12*h + 20 = n, 12 = 3*n. Let k(f) = f**2 - 5*f - 16. Give k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 12*q + 66. Let n be w(-16). Let b = n + 237. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 8:39 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4*c**2 - 9*c**2 + 15*c**2. Let l(v) = v. Let p(x) = 10*x. Let r(g) = -6*l(g) + p(g). What is r(j(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, t: 2}. What is prob of sequence ett?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5271412697 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.07145 from 52072116.8.\nAnswer: 52072116.87145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - 0. Suppose -16 = -0*z + 4*z. List the prime factors of v\/4 - 3*z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 146288593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 19 + 26 = 0. Let g = 40 + r. Suppose -22*h = -g*h + 693. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -126 + 8*c + 65 - 2*c + 49 in the form x*c + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*q**3*z + 29412*q**2*z**3 - q*z - 16550*z**3 wrt q.\nAnswer: 12*q*z + 58824*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from yjmzjjbbmj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**5 - 13*b**2 + b + 19 wrt b?\nAnswer: 20*b**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3\/4 + 177*z**2 - 5088*z + 39168.\nAnswer: -3*(z - 204)*(z - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 9:40 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -4*k**6\/3 - k**2\/2 + 6. Find the second derivative of p(r) wrt r.\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*g)*(6 - 3 + 0) - 49 + 53 - 11*g - 21*g.\nAnswer: -38*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - (1 + 314\/6). Let j = 56 + k. Which is bigger: j or 0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 11*d**2 + 4. List the prime factors of v(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2664\/111*3\/4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 35508?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - k - 1. Let j(o) = 3*o**2 + 7*o + 9. Give j(a) + 6*s(a).\nAnswer: -3*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 774031 is divided by 434.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**4\/5 - 36612*c**3\/5 + 329599*c**2\/5 + 73242*c = 0.\nAnswer: -36621, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - 7 - -3) + -30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (2\/(-2) + -1). Suppose z + 10 + 14 = w. Find the common denominator of -13\/4 and ((-2)\/(-21))\/(z\/658).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/35*310\/1984*4\/6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*v = 6190, 0 = 3*h + 2*h - v - 6178. Suppose h = 8*a - 3812. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -526*r**3 - 6*r**2 + 3*r - 6. Let i(x) = 463933*x**3 + 5290*x**2 - 2645*x + 5290. What is -3*i(c) - 2645*t(c)?\nAnswer: -529*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213333434.\nAnswer: 2, 251, 424967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 133 = 47. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -3316.\nAnswer: -1\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 0, 1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/3 in -3, -28, -20, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 757419 divided by 1\nAnswer: 757419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -378 divided by -27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 18 + 18 = 0. Let g(a) = a**3 - 10*a**2 + 10*a - 13. Let b be g(x). Let p(i) = -7*i - 4. Is 12 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/155652 and -103\/7630.\nAnswer: 778260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 2\/443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9744137 + 70*z**2 - 12*z**2 - 9744137.\nAnswer: 58*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2933 is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 239, 246, 273, 332, 435, 594?\n\"Answer: 2*v**3 - 2*v**2 - v + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -60558.1 to the nearest one hundred.\nAnswer: -60600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*v - 93 = 111, -v + 212 = 2*n. What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73506 divided by 24502.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 4*c**4\/7 + 120*c**3\/7 - 556*c**2\/7 - 5280*c\/7 = 0.\nAnswer: -33, -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = h - 14. Let m be 1\/(2\/(0 - -22)). Let c = h + m. Solve -2*x = -10 + c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 + 2*q - q - q**2)*(-3*q**3 + 4*q**3 - 8*q**3).\nAnswer: -14*q**5 - 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mjjmmjjjmmmmm. What is prob of sequence jjjj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 5*m + 99, 5*t + 4*m = 22 + 180. Suppose 45*d + 42 = t*d. Let l be 2\/d*(8 - (4 - -1)). Which is the third biggest value?  (a) l  (b) 31  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/7, -50\/17, -2\/3, -0.1, 2, -138?\nAnswer: -50\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v. Let j(z) = -16*z + 7. Let p(f) = -f**3 + 13*f**2 - f + 11. Let n be p(13). Let u(g) = 5*g - 2. Let a(d) = n*j(d) - 7*u(d). Determine q(a(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 13*p + 18. Let x be h(13). Is 31 a factor of 28\/8*x - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9900*348.\nAnswer: -3445200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (125\/200)\/(7\/(15834\/(-65))).\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v - 1. Let a(b) = 11*b + 10. Let k(c) = -a(c) - 5*h(c). Let u be k(-1). Sort u, -5, -4, -6.\nAnswer: -6, -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (2 + -3 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c**3 + 8*c**2 + 2*c + 10. Let t(w) = -w**3 + 2*w**2 - w + 4. Let i be t(0). What is the smallest common multiple of r(i) and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - t - 3*t - 4 = 0, 5 = -c - 3*t. Let q(d) be the first derivative of -d**2\/2 + d - 2. Let a be q(c). Let o(z) = -z**3 + z**2 - 8. What is o(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + 23 + -20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1293 - -43959\/34. Is 0 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1.6  (b) 29  (c) 0  (d) 2\/5  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -397 - -395. Let f(v) = 2*v**2 - 2*v - 3. Give f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1332, 15, 73 in ascending order.\nAnswer: -1332, 2, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -5*m + 60, 0 = c + c + 10. Suppose -4*g + m = 0, 3*b - 5*g + 4*g = 1. What are the prime factors of 154 + 1*(b - 3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19628 + 19627.8. Let v be 52\/16 + 1\/(-4). Put 0.2, n, v, 0.08 in ascending order.\nAnswer: n, 0.08, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of 0*u**4 + 1\/525*u**7 + 0*u**3 + 0*u**6 + 0*u - 1\/150*u**5 + 0 + 5*u**2. Factor b(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195208.\nAnswer: 2, 13, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1407.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 19*t)*(-1 + 1 - 2*t + (-4 + 4 + 2)*(2*t + 3*t - 6*t)).\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2263 + 0 - (-55 + 53). Let w = n + 3665. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -92 - -92. Which is the third biggest value?  (a) 16  (b) y  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x - 1. Let p be h(0). Let j be p + -3 + 2 + 2. Let i(d) = -d**3 + d**2 + 2*d + 2. Let r be i(0). Solve j = -r*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 0.5  (c) -16  (d) -1\/3  (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1064839818 to the nearest integer?\nAnswer: 32632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l**4 + 8 + 1 - 53*l**3 - 2 + 26*l**3 + 10*l + 26*l**3 to r*l**4 + x + q*l**2 + z*l + s*l**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 38*d**2. Let v(q) = 75*q**2. Let y = -10128 + 10126. Determine y*v(n) + 5*x(n).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 20146887 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 3*q - 10. Let u = 34 - 30. Let m(a) = -a**3 + 3*a**2 + 4*a + 6. Let t be m(u). What is the units digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 3*u**2 - 6*u - 6. Let i be y(-4). Suppose -i*l = -1 - 3. Differentiate 0*s + 2 - 1 - l*s with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -1199*s**2 + 236*s - 167. Let c(r) = -450*r**2 + 79*r - 55. Let t(x) = -8*c(x) + 3*j(x). What is t(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.8175 to 2 decimal places.\nAnswer: -3.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m + 8. Let g(z) = -5*z + 9. Let b(j) = -5*j + 9. Let f(w) = -6*b(w) + 5*g(w). What is -6*f(y) - 7*h(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4891 and 122409.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46337 divided by 11.\nAnswer: -46337\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1328794 - 1328794 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of p**5\/20 + 3*p**4\/8 - 18*p**3 + p**2 + 228. Let q(s) be the third derivative of m(s). Let y(w) = -4*w**2. Determine q(y(j)).\nAnswer: -24*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 173 (base 11) to base 4.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 516 and 20.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 18973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/72 and 47\/831.\nAnswer: 19944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -14 - (5 - (26 - 20))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 6*c - 9. Solve -5*p + 4*o = -37, 1 - c = -p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c. Let q = -5 + -4. Let w be 1\/2 - q\/6. Let v(h) = -2*h - 2. Let j(a) = -2*a - 3. Let b(i) = w*j(i) - 3*v(i). Determine s(b(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 1:14 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-48))\/(4\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbbo when four letters picked without replacement from oboobob.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1101266 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -27, 2, 0, 33 in decreasing order.\nAnswer: 33, 3, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - -1 - 576\/(-256). Let l(z) = z**2 + 2*z - 1. Let y be l(-3). Find o such that 0 + a*o**y + 1\/2*o = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4212)*2 - sqrt(4212)) + -4)**2 + -4 + ((sqrt(156)*-1)\/sqrt(12) + sqrt(13) + (sqrt(65)*-2)\/sqrt(5))**2.\nAnswer: -144*sqrt(13) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*m - 2*v + 382 = 0, -1424*m + 6*v = -1419*m + 2*v + 134 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*l**3 - 15*l**3 - 8*l**3 - 10*l**3.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 404 divide 33113052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**4 - 58*f**3 - 156*f**2 + 522*f + 1485 = 0. What is f?\nAnswer: -55, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -83 - -75. Suppose 1 = -s - 5*u - 11, -5*u - 20 = 5*s. Find the common denominator of s\/g - (-173)\/4 and 71\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 divided by 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 136 - 136.2. What is the third smallest value in -2\/9, -71, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 111790 and 334327.\nAnswer: 446117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32361 and 75336408?\nAnswer: 75336408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w + 2. Suppose f + 4*f - 10 = 0. Let n be 32\/15 - (-10)\/(-75). Suppose 3*i - 2*q - 18 = 2*q, -4*i - f*q = -n. Give c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-131 + 128)*2\/12)\/(-3)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-67662)\/(-54))\/(3\/(-6)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*r - 332 = 0, 4*r = -2*x + 97 + 91. Suppose -5*f - b + 4*b + x = 0, 3*f - 66 = 3*b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29144 to the nearest one hundred.\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 175822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 74 + -72. What is the biggest value in 5\/4, 1.9, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - 7*v - 6. Let c be p(-6). Suppose -f + 28 = -c*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 177 and 2048421.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**6)**9)**18)**(-1\/25) assuming g is positive.\nAnswer: g**(-972\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -110011001001110000000 (base 2) in base 4?\nAnswer: -12121032000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m - 27. Let g be a(7). What is the common denominator of 3\/6*10\/8 and (-210)\/24 + (0 - 2 - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -h**4\/24 + 4*h**3\/3 - 4*h**2. Suppose 2*g - 3 = b, -b - 10 = -4*g + 3. What is n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 3. Let l be q(-7). Suppose 4 = 2*n - 3*d - 17, 0 = -n + 2*d + l. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 1125*o + 17061. What is l(15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 136267.3ml in litres?\nAnswer: 136.2673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1034 = -5*c + s - 370, 0 = c - 5*s - 128. Suppose -32 - c = -3*r. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11390 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqikiqiikkkiqdd. What is prob of picking 1 i, 1 d, and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12741718?\nAnswer: 2, 11, 103, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (464\/(-58) - (-9246)\/1155)*(3 + (7 - 5))\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of -b**6\/10 - b**5\/20 - b**4\/12 + 200*b**2. Give v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*p**2 - 197380*p + 852463.\nAnswer: -12*p - 197380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 12*x + 16. Let u be w(-1). What is the derivative of 23*v**4 - 16*v**4 - 23 + 5*v**4 + 66*v**u wrt v?\nAnswer: 312*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3129400 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(8\/((-32)\/(-26)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j - 32*j = -8*l + 46, -28 = l + 5*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7185.973 - 7189. Let f = -0.027 - t. Put f, 6, 0.3, 2\/9 in ascending order.\nAnswer: 2\/9, 0.3, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -w**5\/30 + 3*w**3\/2 - 11*w**2. Let c(o) = o**2. Determine c(p(v)).\nAnswer: 4*v**4 - 36*v**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 666938.1ml in litres?\nAnswer: 666.9381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 425183.949 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - x - 15 = 0. What is the second derivative of -4*z**2 + 7*z + 0*z + x*z wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -159, -314, -469, -624, -779?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k**(-13\/5)\/k)\/k)\/(k\/((k*k\/k**(-5)*k*k*k*k)\/k))*(k\/(k\/(k*k**(-1\/3)\/k)*k*k))\/((k\/(k\/k**7))\/k) assuming k is positive.\nAnswer: k**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543624451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 991 divided by -175?\nAnswer: -991\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -29 - 4*(2 + (-27)\/6). Let w(b) = -b**3 - 19*b**2 + 2*b + 22. Calculate w(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -83 + 86. Solve -6 + 0 = h*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 - 53. Let x(r) = -2*r - m + 12 - 4. Determine x(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 12:23 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1db6 - -4?\nAnswer: -1db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -4\/15*y**3 - 1\/30*y**5 - 3 + 2\/15*y**4 + y**2 + 0*y + 1\/300*y**6. Let s(w) be the second derivative of r(w). Factor s(z).\nAnswer: 2*(z - 2)**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2 - 17262*b - 17259.\nAnswer: -3*(b + 1)*(b + 5753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + 4\/(6 - 4). Let y(x) be the first derivative of 1\/12*x**3 + 0*x**2 + 0*x + 2 - 3\/16*x**4 - 1\/24*x**m + 3\/20*x**5. Let y(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 24, -35 in descending order.\nAnswer: 24, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**3 - 227500*u**2 + 454980*u.\nAnswer: 5*u*(u - 45498)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = s - 4*c, -11*s + 7 = -15*s + 3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 642, 643, 644, 645, 646, 647?\n\"Answer: y + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42301*x + 42430*x + 2045 - 2045.\nAnswer: 129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 20664?\nAnswer: 20662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1867385389 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 4 = -2*g - 2*b, -g - 4*b = -17. Let u(p) = -p - 3. Let f be u(-7). Sort g, f, 14 in descending order.\nAnswer: 14, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*n**3 + 9*n - 5*n + 189*n**3 - 4*n.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -46\/11  (b) 102  (c) 0.13  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -6688*s - 26897. Determine j(-4).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*-4 + 3 + (sqrt(5) - (sqrt(5) + -1)))*6.\nAnswer: -144*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 173568 and 1704.\nAnswer: 12323328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27093148 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8859627ml to litres.\nAnswer: 0.0008859627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5152 - -5149. Let o = 0.4 - 1.3. Which is the closest to 1\/3?  (a) o  (b) w  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 - 1682*a + 1052524.\nAnswer: -2*(a - 418)*(a + 1259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 9) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2298.38 - 20959877.\nAnswer: -20962175.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 + 10 - 15)*(w**2 + 3*w - 6*w**2 + 7*w**2) to the form s*w + g*w**2 + a and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = 2*u - 7*h + 4*h + 1, 56*u - 128 = 2*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*x - 149*x - 34*x**2 + 442*x - 149*x.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2)\/(w*w**4)*w**(2\/7)\/(((w*(w**(3\/7)\/w*w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*m + 19*m. Solve m = 3*p - 6 - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 315 + -313. Solve 2*l = -k - 3, 4*k - 7*k = -l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a + 3. Let n be m(0). Suppose -6*b = -2*b - 12, 5*x - 5*b - 50 = 0. Let u = x + -9. Solve i = -3*c - 4 + n, -4*c - 28 = -u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 6 = 1. Let d = 1 - 0.7. What is the third smallest value in 1, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2707.188 hours?\nAnswer: 9745876800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j - 3. Suppose 4*h = 2 + 6. Let a(x) = -5*x - 8. Let s(q) = 5*q + 6. Let i(t) = -2*a(t) - 3*s(t). Calculate h*d(y) - 3*i(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 231234800 rounded to the nearest 1000000?\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((132\/(-80))\/11)\/(((-75)\/1400)\/1)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 968 = -5*l. Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 72*i**2 - 447*i - 510. Calculate o(65).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + u**3 + 4 - 6*u**2 + 2*u - 25 + 6 + 10 to the form c + w*u + q*u**3 + g*u**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 11:16 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-21*(-2)\/(-39))\/((-9)\/648). What is the closest to -1 in 2, v, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*m**4 + 15*m**4 + 11*m**4)*(17 - 32 - 20) + (-2*m**2 + 5*m**2 - 4*m**2)*(2*m**2 + 3 - 3) as s*m**4 + n + l*m**2 + r*m**3 + z*m and give s.\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-40)\/6*(-1008)\/96. Suppose 5*q - 2*s + 176 = 0, 0*q + q = -5*s - 46. Let x = q + b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -269474352 by 6.\nAnswer: -44912392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3981?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 1 = -4*t. Suppose 16 - 4 = t*d. Calculate the least common multiple of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -5*m + 5*w - 9*w, 2*m = 4*w + 2. Solve -2*q + a - 17 = -m*q, 3*q + 4*a = 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2*r - 15 = 0, -3*f + 0 = -2*r - 9. Let i(d) = 100*d - 195. Let t be i(2). Put f, t, -42 in descending order.\nAnswer: t, f, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(132) + 2*sqrt(132)))\/(sqrt(24)\/(1*sqrt(2))) - (0 + ((sqrt(110) + -1*sqrt(110)*6 + sqrt(110))\/sqrt(10))**2).\nAnswer: -176 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - 1441301133?\nAnswer: -1441301202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 15) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**3*s**2*t**3 + 17*m**3*s**2*t + 17*m**2*s**2*t**2 - 23217*m**2*s*t**3 - s**2 wrt t?\nAnswer: 6*m**3*s**2 - 139302*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164929907?\nAnswer: 107, 659, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (2 - 4) + 6 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1657 - 1653. Calculate the remainder when 129 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**5\/5 + c**4\/5 - 18*c**3\/5 - 52*c**2\/5 - 8*c = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1569, -1572, -1575, -1578?\n\"Answer: -3*u - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -142?\nAnswer: -5\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 1:04 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 11*j**2 + 72*j + 9. Is 7 a factor of h(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -x**2\/2 - 11*x - 28. What is y(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 83*u + 12730. What is f(-153)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c - 8*m - 12 + 0 = 3*c, 5*m + 2984 = -c + 2994 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -21 - -3 - -7) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 24 = -4*m. Suppose 0 = -c + m*c - 50. Suppose 3*j = 31 - c. Solve -10 = j*q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2*sqrt(204) + sqrt(204))*-3 - sqrt(204)*-2*5)\/((sqrt(2400)*-3)\/sqrt(2)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61160676 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c. Let o be 3\/9 - 14\/(-3). Let f(i) = -25 - 30 - 28 + 112 - 22 + 3*i**2. Let v(q) = 2*q**2 + 5. Let u(h) = o*f(h) - 7*v(h). Determine u(d(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0.1, 732, 1, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -z**4\/24 + 2*z**3 - 2*z**2. Let h be o(9). Solve 0 = h*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.1 in 2, -4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * 0.1353.\nAnswer: 0.9471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2637*l - 1372*l - 1890*l - 1598*l - 2677*l as a + m*l and give m.\nAnswer: -10174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 24*f - 292. Let p be x(13). Suppose -5*i - 2*t = -16150004, 2 = 21*t - p*t. Round i to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - m)*(-m - m + 3*m) - 505*m - 430*m + 62242*m**2 + 935*m + 8433*m**2 to the form d + p*m + o*m**2 and give o.\nAnswer: 70674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.2759 and -5?\nAnswer: 26.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + 2. Suppose 0 = 4*r - 0 + w. Let h be (-16)\/140*10\/r. Which is the biggest value?  (a) -3  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85 + 3*p**3 - 708245*p**2 + 708247*p**2 + 49 - 11*p**3 to s*p**3 + j*p**2 + o*p + g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -0.1  (b) 0.1  (c) -16  (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 935*n**3 + 11*n**2 - 27*n + 15. Calculate x(1).\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.712 + -606.712. Let r = -631 - d. Which is the second biggest value?  (a) r  (b) 0.3  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01290486 rounded to four decimal places?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-16)\/64*-52.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 23*z**4 - 1 + 10*z**3 - 22*z**4 to the form c*z**2 + j*z + m + k*z**3 + u*z**4 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, z: 1, g: 1, q: 1}. Give prob of sequence pq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 233213678501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 10*a - 2. Let u be c(-8). Let d = u - -67. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 85*i - 2 = -80*i, 4*z + 3*i - 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 7*z + 5. Let v be g(-7). Suppose 14 = -t - 2*c + 6*c, 0 = -v*t + c + 6. Let r(x) = -2*x**3 + x**2 - 1. Calculate r(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**15)\/(p**4\/p) assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 5*t**2 - 6 + (2 - 2 + 2*t**2)*(2 - 3 + 3) to p*t + f + c*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20020 = -2*n + 9*n. Is n\/(-14) + (-4)\/14*1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mffmff. What is prob of sequence mf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 79.53 from 7.\nAnswer: -72.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -111.731 - -112.3. Let s = w - 0.069. Sort s, 4, -1 in decreasing order.\nAnswer: 4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 9*n**4\/4 - n**3 - 7*n**2\/2 + 5*n - 7. Let s(l) = 4*l**3 - l**2 - 3*l + 2. Determine -2*h(m) + 5*s(m).\nAnswer: 2*m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - u**2 + 2*u - 3. Suppose 0 = s - 5*c + 3, 0*c = s - c - 1. Let k = -1 - s. What are the prime factors of z(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 2*a + 2*a)*(2 + 0 - 4) - 7*a + 58*a + 11*a + (-2*a - a + 2*a)*(2 + 2 - 3).\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9*(0\/(-2) - 1). Let k(d) be the first derivative of d**4\/4 - 2*d**3\/3 - 4*d**2 + 6*d + 80. Is k(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -17*q**2 - 2 + 5 + 4 + 16*q**2. Let k be l(0). Let f(n) = -n**2 + 7*n + 6. Give f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 6 - 9 = h, -3*h + 23 = 5*y. Determine r so that 0 + 8\/3*r**2 - 2\/3*r - 2\/3*r**5 - y*r**3 + 8\/3*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (170\/(-60) - (-119)\/102)*(-7 - -1). Solve 15*q + 40 = m*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (8\/(-24))\/((-3)\/216) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, -30, -63, -114, -189, -294, -435, -618?\n\"Answer: -c**3 - 14*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -439 - -803. Let x be r\/10 + (-4)\/10. Let a = 71 - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**3 - 3*w**2 + 2*w - 3. Let g(q) = -q**2 - 9*q - 10. Let s be (1\/2 - 90\/12)*1. Let j be g(s). What is the tens digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39952008?\nAnswer: 2, 3, 37, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1334 - -1?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1710, 3419, 5128, 6837, 8546, 10255?\nAnswer: 11964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5587 + -4536. What is the least common multiple of 8 and r?\nAnswer: 8408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(3 - -3 - (5 - 363\/(-366))). What is the highest common divisor of 549 and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**21\/r**(14\/5))\/(r\/r**(-1\/7)*r*r\/(r*r**(-5\/6))) assuming r is positive.\nAnswer: r**(3197\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 739*k - 743*k + 1760. Does 38 divide 11\/(k\/(-16)) - 384\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**3 - 568*f**2 - 26800*f - 420000 = 0. Calculate f.\nAnswer: -50, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t = 8*t + 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-1 - -2 - (9 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 553, 1911, 4565, 8947, 15489?\nAnswer: 24623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y + 11*y - 9. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 810*s**3 + 5*s**2 - 15*s - 1. Let o = -118 - -120. Is g(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**2 + m**5 - 1 - 2*m**2 + (3*m**2 - 9*m**4 - 3*m**2)*(-m + 2*m - 2*m).\nAnswer: 10*m**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*i + 18. Let c(y) = -y + 5. Let w be c(-4). What is the greatest common factor of w and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from gkwwwkwwkwwkwvkww.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2839, -5083, -7313, -9523, -11707, -13859?\n\"Answer: x**3 + x**2 - 2254*x - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181*u + u**3 + 481*u**2 - 181*u - 432*u**2.\nAnswer: u**3 + 49*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -519 - -885. Let f = g + -365.9. What is the second biggest value in f, 2\/9, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -16, -0.053223878?\nAnswer: -0.053223878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 0*w**2 + 4*w + 0 - 6*w**2 + 2*w**3 + 4. Suppose -4*u = 4*n - 8, -5*u + 557 = -n + 541. List the prime factors of m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**5\/7 + 58*h**4\/7 - 1125*h**3\/7 + 7888*h**2\/7 - 1804*h + 5808\/7 = 0.\nAnswer: 1, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 259937\/70642 - -7\/3211. Let u be 12\/(-9)*(-6)\/4. Find the common denominator of f and ((-234)\/(-44))\/(-3) - u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 540560 (base 7) to base 9\nAnswer: 152752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + sqrt(405) + 4*(sqrt(405) + 1)) - (-1 + sqrt(405) + 4 - (5 + sqrt(405) + 1)))**2.\nAnswer: 3420*sqrt(5) + 40861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/3 - 36542*q\/3 - 73076\/3.\nAnswer: -2*(q + 2)*(q + 18269)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuhuuuuuhuhu. Give prob of sequence hhu.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 5*i + 11. Let q(t) = -11*t - 23. Let p(j) = 4*q(j) + 7*s(j). Let b(h) = 4*h + 7. Let c = -12 + 6. Let w = 67 - 80. Calculate c*p(x) + w*b(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1025\/9 - 2467\/18. What is the common denominator of k and -22\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, c: 5, k: 1, n: 2, r: 4}. Give prob of picking 1 k and 1 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 10:48 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4202 + -4208. Sort -3\/7, 1\/6, a, -1 in descending order.\nAnswer: 1\/6, -3\/7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2644, 21550, 73114, 173746, 339856?\nAnswer: 587854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 35*s**3 + 10*s**2 - 70*s - 44. List the prime factors of i(7).\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 2*a - 4. Let p be g(3). Let n(r) = -r**2 + 12*r - 5. Calculate the remainder when n(p) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.236, 28029, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 79*u - 25 + 42.\nAnswer: 79*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.926 - 12151965\nAnswer: -12151965.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yjabhjc. What is prob of sequence ay?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 7:24 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/4*42\/(-15). Suppose 4*l = n*p - 5*p + 50, -5*l - 5*p + 25 = 0. Let a(q) = -q + 0 - l + 4. What is a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b = 184*b - 1818 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 103 + -2333\/22. What is the common denominator of 261\/(-10)*4\/(-12) and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3367502?\nAnswer: 2, 43, 39157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -189247\nAnswer: -189247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1*((k\/(k**(-10)*k*k))\/k*k)\/k)\/((k**(3\/7)\/k)\/((k\/(k*k\/k**2*k))\/k)) assuming k is positive.\nAnswer: k**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -9*a**2 + 2*a - 8. Let v(g) = -4*g**2 - 9*g - 10. Let y(l) = 3*l**2 + 6*l + 7. Let o(j) = -2*v(j) - 3*y(j). What is 4*o(c) - r(c)?\nAnswer: 5*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -89488 divided by 2632?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -22*n**3 - 2*n**2 + 2*n - 1. Determine g(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -172, -343, -514, -685, -856?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4116 + -8233\/2. Sort -132, -0.1, s, 0.\nAnswer: -132, s, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (382*n**3 - 174*n**3 + 79*n**3 + 2*n**2)*(0 - 3 + 0) as d + t*n**2 + s*n**3 + i*n and give s.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z**2 - z**2 + 2*z**2 + (2*z + 0*z - 3*z)*(3166*z - 6302*z + 7 + 3167*z))*(-2 - z + 2) to the form y*z**3 + s + o*z**2 + x*z and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18194235, 18194240, 18194245, 18194250, 18194255, 18194260?\nAnswer: 18194265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -37a3b5 (base 13) in base 9?\nAnswer: -2456213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-4)*4064\/(-16). Let j = b + 128. Sort j, -49, 3, -4 in descending order.\nAnswer: 3, j, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 17*h + 4421. Give v(-153).\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 4:20 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 0, 5, -3 in decreasing order.\nAnswer: 5, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 4*v + 112. Let j be m(-12). Suppose 0 = a - 5*t - j, 3*t - 6*t = 2*a + 7. Put -268, a, 2 in increasing order.\nAnswer: -268, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7, 43, 163, 415, 847?\n\"Answer: 8*x**3 - 6*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 78 - 82. Let a be (6\/d)\/(21\/(-42)). Let t = -26 - -39. Solve -t + 1 = a*v - 3*k, 0 = -2*v + 3*k - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 20*k**2 + 22. Let l be y(20). Let d be (-620)\/l + 16\/88. Put -1, -3, d in decreasing order.\nAnswer: -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of f**3\/3 - 7*f**2 + 13*f - 103. What is l in a(l) = 0?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -148105*m + 148404*m - 13455 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -6*a**3 + 135*a**2 - 729*a + 573. Let h(j) = 3*j**3 - 68*j**2 + 365*j - 285. Let m(b) = 9*h(b) + 5*l(b). Suppose m(i) = 0. Calculate i.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*f + 7 = 0, 13*k + 5*f + 27 = 14*k. Solve 3*w = k*o + 4, -30*w + 34*w = -5*o + 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 5*q + 6. Sort q, 5, 4 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -2. Suppose 0 = -h - 5*f - r*f + 13, -h - 5 = -4*f. Sort -2, 0, h in ascending order.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 - (-7 - (6 + 121)). Let u be (-4)\/(-18) - 500\/(-18). What is the greatest common divisor of u and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g**2 - 3*g**2 - 2*g**2)*(-g - 3*g + 7*g) - 265*g**3 - 247*g**3 + 923*g**3 to k + v*g + t*g**2 + d*g**3 and give d.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 18. What is the remainder when 14 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 231.1 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -50?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 619 a factor of 13543720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12973481?\nAnswer: 83, 156307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 5:48 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34) - 1*sqrt(34)*-1 - sqrt(34))\/((sqrt(12) + sqrt(60)\/sqrt(5))\/sqrt(6)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -4. Let s be 144\/15 + 2\/(-25)*-5. Calculate the least common multiple of c and 4\/(s + 78\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z. Let l(n) = 11842901*n**2 - 5. What is l(s(p))?\nAnswer: 47371604*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-8)*1\/(-2). Let m(k) = -k**3 + k**2 + 2*k. Let y be m(o). Suppose -1119 = -3*l - y*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1651245 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 267461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5 - 23 = 0. Let j = g + 11. What is the greatest common factor of 20 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80 and 2540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -505689234*r**4 - 712888264 wrt r.\nAnswer: -2022756936*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4152*f**4 + 10*f**3 + 231*f + 67 wrt f.\nAnswer: 49824*f**2 + 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of 1\/3*h**4 - 1\/60*h**5 + 0*h - 2*h**2 + 0 - 2\/3*h**3. Let g be a(7). Solve 2*c - 20 = -g*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1756*f - 1724*f + 640 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-26)\/z)\/(z**(4\/7)*z)*z**(-20)\/(z\/(z\/(z\/(z\/(z*z\/(z\/(z*(z*z**(-23)*z)\/z))*z)))*z)*z))**(-2\/5) assuming z is positive.\nAnswer: z**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of (4288\/(-384))\/((-2)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 3 - 1)*(-3 + 0 - 2) + 1 + 2 + 3)*(-3*r**2 + r**2 + 0*r**2) as h + n*r**2 + q*r and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**15\/(l**(-13)*l*l))**(-39) assuming l is positive.\nAnswer: l**(-1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -14*b**2. Let d(j) = 2*j. Let n(o) = o. Let a(z) = 3*d(z) - 8*n(z). Calculate a(v(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0105 + 386.0105. Let f = 8726572.9827 - 8726959. Let p = f + q. What is p rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -29. What is the closest to 1 in 1\/5, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -8\/7589, -0.01, 4 in increasing order.\nAnswer: -4, -0.01, -8\/7589, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 564691535*t**2 + 132482472*t + 3?\nAnswer: 1129383070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eececcecceecchhecc. Give prob of picking 2 e.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**9\/252 - 11*x**8\/6 + 1667*x**5\/60 + x**2 - 519. What is the third derivative of g(s) wrt s?\nAnswer: 240*s**3 - 36960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18896099.\nAnswer: 1409, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 35 = -g, 2*g + 50 = -w + 3*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8448090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21578109 divided by 5\nAnswer: 21578109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 16\/3, -1\/48, 2, 4\/671, -4 in descending order.\nAnswer: 16\/3, 2, 4\/671, 0, -1\/48, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/20 in 3, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {x: 2, f: 4, h: 1, n: 2, e: 1, u: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i*i\/(i*i*i**(-7)*i)*i)\/i*i)\/(i*i\/((i*(i**(-2\/9)\/i)\/i)\/i)))\/(i**(2\/9)\/i)**11 assuming i is positive.\nAnswer: i**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 16913.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 3) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + 820984532.65493\nAnswer: 820984532.95493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -393\/4  (b) 2.4348  (c) -3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23992512 is divided by 411?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 25\/(-5) - (-776)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of -v**9\/20160 + v**7\/560 + v**6\/120 + v**5\/30 + 9*v**2. Let o(z) be the third derivative of g(z). Find u such that o(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ldelleeeldel. What is prob of sequence de?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 29*o**2. Let c(m) = 31*m. Let b(j) = 56*j. Let h(f) = 4*b(f) - 7*c(f). What is u(h(a))?\nAnswer: 1421*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10587 + -10580. Let z(s) = 29 - s**2 + 0*s**2 - 22 + 3*s + 4*s. Calculate z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 7*k**3 + 9*k**2 - 4*k - 49. Let y(q) = -20*q**3 - 28*q**2 + 12*q + 147. Let a(z) = -17*d(z) - 6*y(z). Does 29 divide a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 5:29 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9974\/9 + 1108. What is the closest to 4 in 1, 0.4, -0.9, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14817\/29 - 511. Let i = z + 677\/145. Let m = i - 41\/10. Is 0 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 + 11*c - 40)*(3*c - 3*c + 2*c**3) + (-3 + 4 + 3)*(3 - 4*c**4 - 3).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -28, -30, -78, -196, -408, -738, -1210?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(0 + -2) + 2 + 2. Suppose p - 22 = -o*k, 2*p + 2*k + 2 = -2*p. Which is the fourth smallest value?  (a) 0.4  (b) 2  (c) p  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24098 is divided by 234.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 53 = -11. Let t = z + -31. Does 16 divide 89 + 5 + t + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27 - 6*z - 2*z - 33 - z**3 to the form o*z + w + n*z**2 + g*z**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -88 - -106. Suppose 168 = 916*z - 909*z. What is the highest common factor of y and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*s - 49*s - 212 = -72 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 7*w**2 - 5*w. Let l be f(6). Suppose 4*c + l*i - i - 74 = 0, -3*i - 27 = -c. Let a = 20 - c. Which is greater: a or -2\/277?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/18)\/((-68)\/(-816))*9\/4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 17*c**2 + 2395*c - 278. Let t be x(-141). Solve 0 = n - t*p - 20, 4*n - 8*p + 3*p = 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.050091439 and 20424.2.\nAnswer: 20428.250091439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 44151887 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*k**2*y**4 - 10*k**2 + 18*k*y**6 - 6*y**2 wrt y.\nAnswer: -216*k**2*y + 2160*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30409031 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*p = 41 + 89 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*n - 4*v - 0, -2*n - 2*v = -14. Let f(z) = z**2 - 5*z - 19. Let w be f(n). Calculate the greatest common divisor of w and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4747 - 4425. Solve -8*k - 274 = -m for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v**2 + 4*v**2 - 11*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**2*k*s*t**2 + 3*h**2*s**3 - 36*h**2*t**3 + 2*h*k*s**3*t**2 - 3*h*k*s*t - 7*h*k*t**2 + 3*k*s**2*t**2 + 2*s**2*t**3 wrt h?\nAnswer: 4*k*s*t**2 + 6*s**3 - 72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 3. Let q be ((-22)\/(-4) - 1)*y. Let m be -1 + 10 - (7 + 5 + -11). Calculate the highest common factor of m and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1734372 + -1120?\nAnswer: -1735512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 351 + -351.1. Which is the second smallest value?  (a) 0  (b) l  (c) 13\/11  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -3*u - 2, -y - 2*u = -3*y + 4. Solve 0 = -0*c - c + 1, 2*c = 2*j + y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 84169350 to the nearest one hundred thousand.\nAnswer: 84200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/177 - 121\/531. Let u be 6\/(-4) + 76\/56. What is the smallest value in -0.1, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 17*p**2 + 7*p + 13. Is l(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211 (base 11) to base 13.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/22017575 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 16 = -2*r, r + 13 = 2*r - 3*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-56))\/((-36)\/(-32))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 19997 and 48.\nAnswer: 959856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 499775743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*g - 975*g**2 + 0*g + 974*g**2 - 3 + 0 to the form y*g**2 + m + n*g and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 2)*(41 - 0). Let y be (1 - f\/39)*-3. Let p(o) = -o - 8. Let s be p(-8). Is s equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14910428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 77*q**3\/6 + 2*q**2 - q + 18. Let f(k) = k. What is f(b(r))?\nAnswer: 77*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44259.\nAnswer: 3, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1087593 to the power of 1\/2, to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 60\/9*1*(-1)\/8\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3546 (base 10) to base 16.\nAnswer: dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k*(k*k**(-7\/6))\/k))*k)**(-21)\/(k**(-2\/67)*k*(k\/k**(-1\/46))\/k) assuming k is positive.\nAnswer: k**(-28496\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j - 4. Suppose 24 = -10*g + 7*g. Let y(i) = 2*i + 15. Let q(w) = w + 5. Let a(t) = g*q(t) + 3*y(t). Calculate 4*a(p) + 5*r(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = s - 9, -v - 4*s - 6 = -27. Let y = -3 + 6. Sort v, 5, y in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + 34*l + 9. Give w(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2.2014+6\nAnswer: 3.7986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 - 52 - (-7 - (-10 + 3)) - -7?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 8700.88 to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 7 = -10*o. Let q be 39\/6 - 2 - o\/(-2). Calculate the remainder when 31 is divided by (-498)\/(-42) - q - (-1)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*v + 7*v - 9*v)*(-5 + 5 - 3*v)*(-22 - v**2 + 22).\nAnswer: -42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -361.05\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a**(-9)*a)*a**15\/a*(a**16)**42 assuming a is positive.\nAnswer: a**695","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3674194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 21 = -d - 5*t, 3*t = 0. Let x(w) = -w - 1. What is x(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -416 (base 11) to base 5\nAnswer: -4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 2*c - c)*(-19*c**2 + 5*c**2 + 9*c**2) + 0*c**3 - 3*c**3 + 5*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3646975681 to the power of 1\/2, to the nearest integer?\nAnswer: 60390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 537, 452, 367, 282, 197?\n\"Answer: -85*c + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 2132\/1 + -9 + -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-40*38\/(-855))\/((-376)\/(-282))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32 + 2\/3*v**2 - 52\/3*v.\nAnswer: 2*(v - 24)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 27*l**3 - 25185*l**2 - 7190244*l - 1596588 = 0.\nAnswer: -229, -2\/9, 1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y = -1419 - 2811. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8326099601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/9756 and -45\/2236?\nAnswer: 5453604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 1 + 17 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3912 and 38.\nAnswer: 74328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(2\/9)\/z)\/(z**(2\/13)\/z))\/((z*z\/z**(-1)*z)\/z)**(-2\/13))\/((z*z*z**(-1))**(-3\/8)*z**(3\/7)*z**(-3)) assuming z is positive.\nAnswer: z**(22777\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 10 = -l, 5*s + 30 = 25*l - 24*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -89\/28 - -24\/7. Let t = -1316 - -1315.7. Let c = -131 + 131.4. Put t, n, c in ascending order.\nAnswer: t, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 7*z**3 + 59*z**2 + 64*z - 199. Let i(k) = 4*k**3 + 30*k**2 + 33*k - 100. Let g(d) = -5*i(d) + 3*x(d). What is the hundreds digit of g(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 912 is divided by 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 24.1 and -1738?\nAnswer: 1762.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -7*o**3 + 7*o**3 - 4 + 0*o**3 - 2*o - 4*o**2 - o**3. Let q be i(-4). Suppose -5*m + p + 34 + 16 = 0, -4*p = -q*m + 24. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 1343bc5?\nAnswer: -1343bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 11*h**3 + 81*h**2 + 10*h - 103. Let n(k) = -8*k**3 - 54*k**2 - 7*k + 69. Let s(i) = 7*n(i) + 5*o(i). Calculate s(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3324 (base 5) in base 2?\nAnswer: -111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 6*a**2 - 115*a - 665. What is r(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11808 + 308 = -5*x. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10055 (base 16) in base 10?\nAnswer: -65621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 448 - 436 = 0. What is the second smallest value in -2, -54\/19, j, -2\/11?\nAnswer: -54\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21 - -19) + (5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 700746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-142 - -167) + -1 + -5 + -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10\/25)\/((-7)\/5). Let l(t) = t**2 - 12*t + 11. Let u be l(11). Which is the nearest to w?  (a) 0.1  (b) 3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 7) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*h - 14. Let r = 1 - h. Solve 0*m = g + r*m + 14, 10 = g - 3*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -j**3\/3 + 13*j**2\/2 + 24*j + 3. Suppose 9 = 3*m - 30. Let t be v(m). Solve 0 = 4*c + 4*i + t, 3*c + 5*i + 24 = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -180 - 81930*k**2 + 81931*k**2 - 449 as h*k**2 + x*k + n and give n.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = -2*t - 32. Suppose -5*g = -0*g + 405. Let d = t - g. Solve -4*x + d = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -7*h**3 + h**2. What is the remainder when 13 is divided by k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -13*a**2 - 113*a - 243. Give h(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 177 + -139. Calculate the remainder when 75 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67*d**4 + 148*d**4 + 227*d**4 + 69*d**4 + 272*d**2 wrt d?\nAnswer: 12264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 112, 4, 77, 11 in ascending order.\nAnswer: 4, 11, 77, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 177181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 5*o**3\/3 - 7255*o**2 + 10527005*o + 1584. Factor i(r).\nAnswer: 5*(r - 1451)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dplq when four letters picked without replacement from lqqpddh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73936161 is divided by 7393616.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4808, 9610, 14416, 19226, 24040, 28858?\nAnswer: 33680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 14*m**2 - 16*m + 4. Let j be t(15). Let w(r) = -r**2 - 12*r - 8. Let y be w(j). Solve -q + 10 = -y*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 1 = 0, 134*c - 9 = -2*z + 135*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3*49\/(-21)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 6:54 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -61*r + 1. Let a(j) = -510*j + 3. What is -a(z) + 2*p(z)?\nAnswer: 388*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (14\/(-21))\/(2\/(-6)). Let x = h - -5. Calculate the highest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**3 - 192*q**2 + 4368*q - 238. Calculate v(-115).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 5*r - r. Let l = 1 - r. Solve -3 = -5*p + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -1775*y**3 - 1765*y**3 - 1766*y**3 - 3 + 5303*y**3 - 3*y**2 - 24*y. Let w(a) = a**3 + a**2 + 8*a + 1. What is -6*l(f) - 17*w(f)?\nAnswer: f**3 + f**2 + 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l + 44. Let a be q(-12). Suppose -5*h - 30 = -3*i + a*i, -5 = i + 2*h. Let m(z) = z + 9. Calculate m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 11:50 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -r**3 - 63*r**2\/2 - 114*r + 12. Find s such that v(s) = 0.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4404*o - 26 = -4360*o - 246. Solve 33\/2*m**3 + 27\/2*m**2 + 0*m**4 + 0 - 6*m**o + 3*m = 0 for m.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19676\/31 + 770735\/1023. Let m = 43159998\/447887 - -2\/40717. Let h = k - m. Calculate the common denominator of 28\/5 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-3) - 2)*(-513)\/(-95)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -7) + 78 + -74.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10404, -20814, -31226, -41640, -52056?\nAnswer: -62474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 67094476 - -8?\nAnswer: 67094484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*((g**(-20)*g)\/g)\/g)\/(g\/g**14*g*g))\/(g**(-10))**(-33) assuming g is positive.\nAnswer: g**(-339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -286785655\/616 - -465561. Calculate the common denominator of r and -107\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 43, 64, 87, 112?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8996988 days in microseconds?\nAnswer: 77733976320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -311238\/35, -5 in decreasing order.\nAnswer: -3, -5, -311238\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 14  (b) 9  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 33\/561 + 6378\/(-51). Let j(l) = -2*l**2 - 3. Let g be j(-8). Let k = d - g. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30612544 + -10?\nAnswer: 30612534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/3*(-23)\/(-46)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-51)\/18 - (2 - 0)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c**3 - 3*c**2 - 4*c - 2. Calculate a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 10:31 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1141 - -486. Let s = -660 - v. Let y = 15 - 10. Which is the third biggest value?  (a) y  (b) s  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1628882?\nAnswer: 2, 71, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 594 = -10*v + 631, 2*v = -3*y + v - 34 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.4 + 6. Let i(n) = n**3 + 10*n**2 + 2*n - 43. Let m be i(-9). Let q be m\/25*(-1)\/4. What is the second biggest value in -1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -28 in increasing order.\nAnswer: -28, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 686963 or 686741?\nAnswer: 686741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5559508.17 + 6456.\nAnswer: -5553052.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10455 and 675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3ab5 + -e6e?\nAnswer: -4923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -4*x + 12, -x - 2 = t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 21, -13236, -5, -4, -6 in descending order.\nAnswer: 21, 3, -4, -5, -6, -13236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 57 = -2*q, -2*l + 5*l + 96 = 5*q. Calculate the remainder when 328 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 6*c + 6. Suppose 2*j = 2*z - 12, -5*j - 26 = -2*z - z. Let g be v(j). Let q = g + 12. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*w + 5 - 5.\nAnswer: -166*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*c - 150*c + 31 - 9.\nAnswer: 2*c + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s - 36. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 15*a**2 + 9*a + 2. Let m(v) = v. Let p(t) = -5*m(t) + n(t). Is 25 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97754148 rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-18) + 163499\/24. Let c = u - 6821. Calculate the common denominator of 59\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 5499157?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1313803015 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/39)*t**(9\/2))**(-48))**(-38) assuming t is positive.\nAnswer: t**(107920\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -290 or -289?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(-14))\/((-15)\/78).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-15)*s)\/s**(2\/45) assuming s is positive.\nAnswer: s**(-632\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 3*y + 4. Let o be k(-4). Suppose -f - 2*f + 15 = o. Suppose 75 - 190 = -f*j. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 3:05 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 4*d = -1, -2*m - 3 = 4*d + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((10*f**2 - 11*f**2 - f**2)*(-2*f - 2*f + 3*f) + 23*f**3 - 15*f**3 - 57*f**3)*(2*f**2 + 5*f - 5*f).\nAnswer: -94*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*f = -57*f - 80080. List the prime factors of f.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of l**3\/3 - 9. Let n(f) = -f + 2 + 0*f + 2*f. Let a(s) = s + 1. Let h(q) = -2*a(q) + n(q). Calculate h(g(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -461*m + 53. Is a(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 6*m - 12 = 0. Suppose -3*u = 4*p + 3, -p + m*u + 3*u + 5 = 0. Is -2 + (1166 - p) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 88 - 1625 = 0. Let l = -923 - b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.36  (b) -10  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 50 = -112. Let i = 1452 - 1563. Let o = -89 - i. Calculate the smallest common multiple of o and n.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o - 7 + o**2 + 10 - 12 to w*o**2 + c*o + g and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 15*u + 108. Calculate z(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 11*(-5)\/(-55) + (-12)\/11. Which is the closest to -2\/7?  (a) -2\/7  (b) l  (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 847332412 and 7844.\nAnswer: 7844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1205, 5005, 11375, 20345, 31945, 46205, 63155, 82825?\nAnswer: 105245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10865, 11528, 12191, 12854, 13517, 14180?\nAnswer: 14843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20881*s - 4195*s - 775*s)*(1 - 2 + 4) to the form d + x*s and give x.\nAnswer: 47733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from sscehsksskskksrec.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.33 + -0.03. Let k be 0 - 17\/(-6) - 2. Which is the second biggest value?  (a) u  (b) k  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362648\/1021 greater than or equal to 355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 25\/(-275) + 270\/(-55). What is the nearest to 3 in a, -3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -w**6\/20 + 9*w**5\/20 + 11*w**2. Find the third derivative of y(k) wrt k.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.1 + -0.1. Let j = 0.1 + -0.6. What is the closest to a in j, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 147 = 807*o - 770*o, w + o + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000055055 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -17*p**3 - 1 + 40*p**3 + 2*p - 22*p**3. Determine d(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.26 in 8, 5, 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17577, -35151, -52701, -70215, -87681, -105087, -122421, -139671?\nAnswer: -156825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 375, 546, 721, 900, 1083?\n\"Answer: 2*m**2 + 165*m + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6982\/35 + -971\/5. Let v = 38\/7 - d. Which is the biggest value?  (a) 4  (b) 4\/3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.85076465 + 0.11446.\nAnswer: -7.73630465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - -33. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 78 - 78 + 42*k**4 + (-2*k + 8*k - 2*k)*(k - k**3 - k) in the form r*k + v*k**3 + c*k**2 + t + w*k**4 and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*b + 4. Solve -3*d = -5*q - 0*d + 12, 2*d + 8 = b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r + 8. Let f be u(-8). Which is the third smallest value?  (a) f  (b) -44\/5  (c) -5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = -2*g - 20. What is the common denominator of 45 and ((-209)\/g)\/(8\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + -9. Let k = w - -33. Let n = 8 + -11. Which is the nearest to 0?  (a) k  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 5 + (2 - 2). Let w(g) = g**3 - 2*g**2 - 4*g. Let o be w(i). Let k(r) = 1 - 2 + 4 - r**2 - r. Calculate k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 277*j**5\/2 + 4229*j**2\/2 - 78*j. Differentiate a(d) wrt d.\nAnswer: 8310*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*w - w + 4*w)*(-w + 7*w**3 + w).\nAnswer: -35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 371*s**4 + 155*s**3 - 190618*s?\nAnswer: 4452*s**2 + 930*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -18\/5*l**5 - 16\/3*l**3 + 6*l + 28\/3*l**4 + 0 + 0*l**2 + 18\/7*l**7 - 18\/5*l**6. Factor p(c).\nAnswer: 4*c*(c + 1)*(3*c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33840 divided by 2115\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d - 2. Suppose 11*z = 6*z + 90. Let s(w) = 13*w + 6. Let o(n) = z*f(n) + 4*s(n). Let u(q) = -2*q. Calculate u(o(l)).\nAnswer: 4*l + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1378 - 0.1378. What is the nearest to -1 in p, -0.044, 4, 5?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 10:32 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11) - sqrt(11))*-1 + -4)**2 - (sqrt(1584) - (2 + sqrt(1584) + -3)**2)) + -1.\nAnswer: -20*sqrt(11) + 1644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 9*h + 216. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/4  (b) -2\/13  (c) -2  (d) -0.4  (e) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/2, 0.036, -61 in descending order.\nAnswer: 5, 0.036, -3\/2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (0 - -3 - (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-10))\/((-30)\/(-75))*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 9*x + 18. Let d(f) = 8*f + 19. Let a(g) = 4*c(g) - 5*d(g). Let t be a(-9). Suppose -29 = -14*l + t. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -27\/32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from gxlgllgxlglglgl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/15 + (-11)\/(-5). Let q(b) = 10*b - 1. What are the prime factors of q(p)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2223.44624 and 851.\nAnswer: -1372.44624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6895722233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.7 - 0.2. Let o(j) = -j**3 + 45*j**2 - 269*j + 16. Let w be o(7). Put a, 3, w in increasing order.\nAnswer: w, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21 - -47) + -25)\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21855897 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39595*j - 19803*j - 5*g = 19795*j + 23, 4*j - g = -23 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/24 - (-207)\/2. Suppose 15*t - 20*t + 5*w + 2270 = 0, 442 = t + 3*w. Suppose 3*d - n = -3*x + t, -x + 5*d + 209 = 0. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a0d0 - 11c4?\nAnswer: 8e0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 112944803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 133991 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 0 = -4*n - 1, -n - o = 0. Let f be ((n - -3) + (-36)\/19)\/(-2). Suppose 0 - 3 = -3*x. Is f < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -4 - (-22 + (16 + -13 - -9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 2*y + 11. Let x be n(-5). Sort -3, x, -1 in ascending order.\nAnswer: x, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 543*h**3 + 409 wrt h.\nAnswer: 1629*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3467  (b) -3\/7  (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 - 6644007*j - 44142829016049\/2.\nAnswer: -(j + 6644007)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1256 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4945502 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - 29362 = 13438. What is w rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zhoo when four letters picked without replacement from {p: 1, o: 2, h: 1, z: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 456 and ((-1)\/(-2))\/(62\/3720).\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -5\/45598 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 1:31 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 11:35 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.15?  (a) -47  (b) -0.4  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/(-16) - 3)*(-32)\/6. Solve 10 = h*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -312 + 316. Suppose 2*f - 14 - 2 = 0. Let s = -5 + f. Solve -x*j - 5*p + 2 = -20, s*j = -p + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 411 - 2058\/5. Which is the closest to 0.1?  (a) x  (b) 1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330 = -3*s + 5*b, b + 440 = 4*s - 4*b. Suppose 3*l - s = -2*l. Let j be 7264\/l - 26\/143. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18.3 + -18. Which is the closest to h?  (a) 0  (b) 0.4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1325*p**2 - 83 + 234 - 78 - 73.\nAnswer: 1325*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -61.47?\nAnswer: 61.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -99507960 rounded to the nearest 100000?\nAnswer: -99500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((2 + 2 + sqrt(68))**2 + 2).\nAnswer: 16*sqrt(17) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10212102 (base 3) to base 10\nAnswer: -2819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 - 476*k + 474*k - 3*k**2)*(93 - 93 - 2*k).\nAnswer: 4*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 5. Find the second derivative of 3*a**5 + 4*a - w*a + 0*a**5 - a**5 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 8:36 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7489, -14975, -22461, -29947, -37433, -44919?\n\"Answer: -7486*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2, 3, -2\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-176 - (37 + -216)) + (-1 - -43)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**5 + 33*p**4 - 171*p**3 + 147*p**2 + 168*p - 180 = 0.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-2)*(675\/(-18))\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22918 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -188087, -190690, -195021, -201074, -208843, -218322, -229505?\nAnswer: -242386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 76 + -75.6. Which is the second biggest value?  (a) 1  (b) 12  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 d, 1 b, and 1 t when four letters picked without replacement from nsdskkbksbst.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -33.034 in -1\/4, 1\/3, 5, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 32 + -30. Suppose -2*o + 84 = c*o. 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: Is 42 a factor of 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-6)\/j)\/j**(-3)*(j*j\/j**(2\/3))\/(j*j\/((j\/j**(2\/3))\/j)*j*j)*(j*j*j**(-2)*j**(-5))**(12\/5) assuming j is positive.\nAnswer: j**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 - 1315*u + 5278. Let b be t(4). Solve 1\/6*r + 0 + 1\/6*r**b = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((1856\/6)\/2)\/(473\/(-70950)). Round y to the nearest 100.\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000110001100 - -1110?\nAnswer: 1000110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of r**5\/20 + r**2. Let x(p) be the second derivative of 6*p - 1\/12*p**4 + 0*p**2 + 0*p**3 + 0. Determine x(g(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5 - 21*t - 44 + 2*t**2 - 26*t + 64*t. List the prime factors of z(8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270 + 312 = 7*t. What is the tens digit of 5 + (-2910)\/(t + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 5*f + 52. Let z be q(-8). Suppose -z*w - 252 = -35*w. Calculate the greatest common factor of 48 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 16*c + 4. Let q be n(16). Let o be (51\/(-153))\/((-47)\/(-24) - 2). Let h = -13 - -21. Solve h = -q*p - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - -2. Let d = g - 4. Which is the nearest to -2\/5?  (a) d  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.023541697 - 1055?\nAnswer: -1054.976458303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -526 = -7*l - 134. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.6  (b) -5  (c) -0.5  (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2366*g = 2375*g - 4730*g - 154 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {a: 4, z: 1, g: 1, k: 1, l: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59, 83, 81, 41, -49?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-80)*52 + -6. Which is the nearest to 4\/3?  (a) 0.3  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -224, -215, -194, -155, -92, 1?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 4799*d - 100212. Calculate q(21).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v - 3. Let h(t) = 28*t + 11. Let c(l) = 13*l + 5. Let f(w) = 13*c(w) - 6*h(w). Give -2*f(r) + x(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -163 - -172. Let h be (j\/(-15))\/(2\/(-10)). Solve x + h = -5*z + 15, 4*x - z = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 5.7. Let f = 44\/39 + -6\/13. Which is the closest to f?  (a) 0.2  (b) 0  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -27  (b) -0.4  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 14) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v**22\/v*v))\/(v*v**(-23)))**(-1\/4) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 256, -1, 36, 43 in increasing order.\nAnswer: -2, -1, 1, 36, 43, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 2*z - 512, 0 = 5*s + 2*z + z + 885. Let g = -99 - s. Let i(p) = 14*p**2 + p. Let r be i(1). Calculate the highest common factor of r and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 3\/4, 98576?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 25*v - 66. Let a be m(-23). Let y = 68 - a. Calculate the highest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2 - 17626 + 355*v - 24694 - 1275*v.\nAnswer: -5*(v + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 650158 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1835767*l + 3671545. What is q(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.17437763 from -3.237.\nAnswer: -3.41137763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -t**3 - 2850*t**2 + 20963*t?\nAnswer: -6*t - 5700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 260982420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 39505*h**3 - 30750.\nAnswer: 118515*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n + 7. Let w be j(9). Let z be -1*w\/8*0. Solve -t = -q + 5, 2*q + 3*t = -z*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/9 + 272\/(-48). Let k = 5 - 5. What is the closest to k in j, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8004083 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.6012263cm?\nAnswer: 6012.263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 26\/(-3) - 2\/6. Let n be (-1)\/(-2)*(-1062)\/x. Let r = 174 + n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + ((-493)\/261 - 12).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 12 = 4*i, -3*i + 2*j + 20 - 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 59923017 divided by -133?\nAnswer: -450549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 7*s**2 + 21*s + 15. Let y(p) = 10*p**2 + 31*p + 23. Let o(t) = -7*x(t) + 5*y(t). Determine o(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2. Let q(t) = t + 1. Let z(d) = -6*d - 5. Suppose -5*w = -i - 3*i + 30, 2*i - 2*w - 14 = 0. Let r(y) = i*q(y) + z(y). Calculate x(r(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-33)*(-2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9748 + -6671. What are the prime factors of o?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1260 + 336. Let z = i - -924.0403. Let p = z + -0.048. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**16\/(g\/g**(-19)))**43 assuming g is positive.\nAnswer: g**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-30)*3 - 1. Let w = 2104 - 2105. Sort w, 0, o, -39.\nAnswer: -39, w, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, -53, -4, 5 in descending order.\nAnswer: 8, 5, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**(-1\/17)*(q**1\/q)**(-8\/15) assuming q is positive.\nAnswer: q**(-1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 - 2*u - 1. Let a be o(3). What is the third derivative of -5*g**4 - 147*g + 147*g - 5*g**a wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 90*g + 867. Determine a(-76).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100*309629.\nAnswer: 30962900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1721545 or -1721547?\nAnswer: -1721545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(-1*sqrt(63)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**6\/120 + n**3\/2 - 18*n**2. Find the first derivative of r(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 5897?\nAnswer: -5896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*t + 2 - 6, 26 = -5*g - 3*t. Which is the closest to 7?  (a) g  (b) 2\/3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 (base 7) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 114 = 2*h + 2*h, 0 = -l + h + 99. Calculate the remainder when l is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6866.\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(0 + 32\/3). Let u = -1 + 10. Let x = -5 + u. Calculate the highest common divisor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -5, 0.3, 1147?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(-6) + (-27)\/2 + 9.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -61 - (366 + -373 + (2 - -1) - 2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -565856, -565903, -566004, -566177, -566440?\nAnswer: -566811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -109628572 and 0.003354.\nAnswer: -109628571.996646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*a + 96*a - 92 + 2822 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*x**2 - 512 - 519 + 1551 - 520 - 41*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((174\/(-22))\/(-3))\/(12\/132)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*m + 17 - 17 + (3*m + 2*m - 3*m)*(8 - 2 - 3))*(1 + 3 - 5).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*v**2 + 1428*v - 1428*v.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 1692801*t**2. Let y(w) = -82*w. Give i(y(k)).\nAnswer: 11382393924*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 + -16. Let n = 14 - l. Suppose 0 = 6*q - n*q - 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 3475625?\nAnswer: -6951250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 9*r**2 + 5. Let h be i(-9). Let g(l) = -l + 4. Let k be g(-8). Suppose h*j = -j + k. Solve -7*t + 15 = -j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 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: Simplify -1 + ((sqrt(832) + (-5*(sqrt(832) - 1*sqrt(832)) - sqrt(832)))*-3)**2 + 1*(-3 + sqrt(143)\/(sqrt(44)\/sqrt(4))) + 2.\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**7\/210 + h**5\/30 + h**3\/6 - 4*h. Let p(l) be the second derivative of j(l). What is the second derivative of p(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2417?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -6 + 23 + -18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1116 + 771*f**2 + 88*f**2 + 1116 + 552*f**2.\nAnswer: 1411*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 7*p**2 - 9*p + 2. Let f be u(-7). Suppose -2*d - f = -6*d. Let r = d - 78. Calculate the remainder when 71 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 - 191\/5. Is -1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 90242815.7 to the nearest 10000.\nAnswer: 90240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 - 28*o**2 + 344*o - 4816. What is b(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, v: 1, i: 11}. What is prob of picking 3 i?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 1209*a - 24181. Determine n(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 13418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24.4 - -29.4. What is the closest to 1\/2 in 2, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23.4 - 21. Let h = q - 6. Round h to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.00572+-2\nAnswer: -1.99428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 + 7*m**2 - 7*m - 5. Suppose -28 + 52 = 4*r. Determine q(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/11 + 96\/44. Solve -c*p = 3*x - 9, 5*x - 7*p = -2*p + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*p = 23*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 5*x + 8. Give s(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2.9603118us?\nAnswer: 0.00000004933853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 868\/196 + (-4)\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 5, -s - 220 = 4*g + 3*s. Let y = 13\/2 + g. Calculate the common denominator of 724\/(-84) - (-2)\/6 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11050 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3, -2*a = 4*y - 2*y - 14. Let h be (-202)\/(-88)*a - (-2)\/(-11). Solve 4 = b + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 65 - 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -3\/2  (c) 14  (d) 4  (e) 215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04533 - 4862.81131?\nAnswer: -4862.76598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 2bba9?\nAnswer: 2bbad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of g*q**3*v**2 + 22*g*q**3*v + 48*g*q**3 + 5*g + q**3 - 27*v**2 wrt v?\nAnswer: 2*g*q**3*v + 22*g*q**3 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 21414411?\nAnswer: -21414404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 524382.9 millimeters in micrometers?\nAnswer: 524382900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 12:20 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i. Let m(b) = -b + 1. Let x be (-3 - -11) + -4 - -2. Let c(d) = x*j(d) - 2*m(d). Is c(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 8:48 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + (-2*sqrt(80)*2 - ((-1 + sqrt(80))**2 + 4)))*-2.\nAnswer: 64*sqrt(5) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -14223, -16557, -20453, -25917, -32955, -41573?\n\"Answer: -a**3 - 775*a**2 - 2*a - 13445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 16) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*i + 13. Suppose -i*c - 68 = -78. Solve -5*l + 40 = -0*a - 5*a, -10 = c*a + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17360*c**5 - 3*c**3 - 133*c**2 + 468042959*c wrt c?\nAnswer: 347200*c**3 - 18*c - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r + r - r)*((-3 + 3 - r)*(-4*r + 2 - 2) - 22*r**2 + 3*r**2 - 16*r**2) to z + x*r**3 + g*r**2 + c*r and give x.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6711232 centuries in years?\nAnswer: 67.11232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g**5 - 248400*g**4 - 1271738475*g**3 + 142089284625*g**2 - 4259454530625*g + 17904163134375 = 0 for g.\nAnswer: -10405, 5, 105\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5700, -8428, -12974, -19338?\nAnswer: -27520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16561\/2 - -8281. What is the smallest value in -3, -2\/9, 5, s, 115?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -5*x**3 - 95*x**2 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from drrdrrrrdd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 32 - 151. Let y = 13 - w. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2620936, 2620984, 2621032, 2621080, 2621128?\nAnswer: 2621176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*v + 83 = 0, 4*u + v - 127 = -2*v. Calculate the remainder when 97 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 6 - 69730*o + 69730*o + 5 + o**3.\nAnswer: 4*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -6*t**2 + 26*t + 1. Let x(a) = -7*a**2 + 31*a + 1. Determine 3*h(b) - 2*x(b).\nAnswer: -4*b**2 + 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.111 - 0.201. Is 9\/7 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-80)\/(-6)*(-36)\/(-30). Find the second derivative of -16*d**4 - 8*d + 8*d**5 + a*d**4 + d wrt d.\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -130*z + 2. Let v(q) = 133*q - 2. Give 3*c(h) + 4*v(h).\nAnswer: 142*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a84a0 (base 12) in base 8?\nAnswer: -1627270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 549 less than 490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16, 1, 30, 77, 148, 249, 386, 565?\n\"Answer: x**3 + 10*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111100 (base 2) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12762?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/(-2 + (3 - 2)). Suppose -3*v + 10 = 4*g + 31, i = 2*v - 2. Is 7 a factor of (12\/10)\/(g\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 5. Let l = f + 3. Suppose l*n + 25 = 4*n. Sort n, 1, 2.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2, -8 + 33 = -5*j - 5*s. Is j\/(-12) - 4\/(-6) - -2818 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 7*c**2 - c - 2. Let w be n(-5). Suppose 4*v - 95 = w. Let y be v\/1 - (-4 - -2). Calculate the highest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + o + 2394, 3*b - 3182 = -b - 2*o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 14*h + 436. What is v(-31)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -625*a + 11102. Calculate o(18).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/(-12) - (-7)\/4. Suppose 2 = j - a. Determine f so that -2*f + j*f + 2*f**3 - f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c**2 - 3*c + 1. Let p be j(1). Find t, given that -2 - t**2 + 3 + 2*t - p = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1121*n = 1116*n + 90 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + z**2 + z - 37. Let v be y(0). Let x = -20 - v. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5467 and 14.\nAnswer: 76538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 4. Let g be d(-3). Suppose -g = -2*q + 47. Suppose 2 = -2*l, 3*u - 5*l - q - 8 = 0. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 + (-2232)\/(-276) + 4\/(-46).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28232*u + 1012 = -28210*u for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 19200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of g**3 + 565*g**2\/2 + 513. What is the second derivative of a(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -1) + (-32 + (-11766)\/(-371))*(-21)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4694180*m**3*q**2 - 2*m**3 + 94207*q**2 + 22 wrt m.\nAnswer: -14082540*m**2*q**2 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(70)*4*6)\/((sqrt(200)\/sqrt(90))\/sqrt(2)) + 4.\nAnswer: -216*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1\/6, -1\/6, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, 1\/6, -1\/6, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9.9 + 9.96. What is the smallest value in 2\/13, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1981*m**2 + 77*m - 590531?\nAnswer: 3962*m + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6994604 and 21659?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-22) + (267\/(-165) - -2). Let g = 3.3 - 3. Let o = g + -0.3. What is the second smallest value in 0.4, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(120)\/sqrt(5) + sqrt(24) + (sqrt(192)*3)\/sqrt(8))\/(-3*(sqrt(300) - (sqrt(300) + sqrt(300)*3 + sqrt(300)))))**2.\nAnswer: 9\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.21 + 4.21. Let u = -0.1 - 4.9. What is the smallest value in u, h, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 173*v**2 - 21*v + 42. Let l be t(2). Let n = l - 685. Let h(j) = j**3 - 8*j**2 + 3*j + 4. Give h(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 39a7 + -3?\nAnswer: 39a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*g + 0*g + 9*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -52 - 47*i - 58 + 110 in the form f + u*i and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 3 + 109 + -101?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -402 + 1152. What is the highest common divisor of t and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**4 + 2*x**4 + 3*x**4 - 1 + x**4 + 1 + (2 - 2 - 3*x**2)*(3*x - 2*x**2 - 3*x) + 1090*x**4 - 519*x**4 - 541*x**4 - 2.\nAnswer: 39*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 533503, 2134092, 4801729, 8536408, 13338123?\nAnswer: 19206868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - 2)*5\/(-4). Suppose -2*f + 14 = 3*x, -x = x + z*f - 24. Factor 2\/3*b + 2\/3*b**x - 4\/3.\nAnswer: 2*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 267222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 13*b - 12 = 9*b, 6 = 2*b. Let y = -28 + 43. Suppose 0 = -3*q + y, -2*p + 5*q - 1 - 20 = 0. Solve 0*u + p*u - 6 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 49*b**2 - 23*b + 1. What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2067, 4483, 6989, 9591, 12295, 15107, 18033, 21079?\n\"Answer: f**3 + 39*f**2 + 2292*f - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 4*f**2 + 3*f + 4. Let w be r(-3). Suppose -3*i + 50 = 2. What is the highest common divisor of i and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + 6*h - 1. Let w = 95 - 72. What is the remainder when w is divided by o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -202 at most -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2003*a + 198 = -1811*a - 3258 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1973, 1971, 1967, 1961, 1953?\n\"Answer: -q**2 + q + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*l + 7*l - 4*l + ((4 - 1 - 2)*(3 - 4 + 3) + 19 + 1 + 24)*(-l + 0*l + 4*l) to n + q*l and give q.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 3*k + 4*k**2 - 14*k**2 - 1 + 12*k**2. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17\/65 - 354\/1105. What is the second smallest value in i, -4, 0.3, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1290\/100)\/(-43))\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/1665 and 1\/3043731?\nAnswer: 45655965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from kqrgz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 - -29. Suppose -3*m + 88 = -m. Let f = m + n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179361 and 5607?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (12\/72)\/((-1)\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 210 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26150, -26167, -26190, -26213, -26230, -26235, -26222?\nAnswer: -26185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101453858.\nAnswer: 2, 11, 17, 61, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7*v**3 - 2*v**2 + v - 4. Let m be (-8)\/6*(-6)\/4. What is the tens digit of a(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 17*i**2 + 80*i + 67. Let h be p(-9). Sort 0, -4, 4, 44, h.\nAnswer: h, -4, 0, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 7:56 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/1380 and 71\/7440.\nAnswer: 171120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, m: 4, b: 6, k: 5, z: 1}. Give prob of picking 2 b and 2 m.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.1 - 0.1. Let z = -44090 - -132269\/3. Which is the fourth smallest value?  (a) 5  (b) y  (c) z  (d) -6\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.137 - -0.037. Sort -0.3, r, -1 in descending order.\nAnswer: r, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 2*w - 1. Let g be n(2). Let o be (137 - 1)*g\/(-2). What is the tens digit of o\/((4 - 7) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = 2*g, -2*s = -2*g + 48. Let x be (-4)\/s + 8\/(-44). Suppose 4*c - j + 0*j - 91 = 0, x = -2*c - 3*j + 49. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) -1\/4  (c) 4  (d) 2.0552\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2563*s**3 - 14*s**2 - 7*s - 14. Let h(g) = 1709*g**3 - 10*g**2 - 5*g - 10. What is -7*h(c) + 5*l(c)?\nAnswer: 852*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -76 - -188. Suppose 3*q + 1 = -5*w + b, 21 = w + q. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1528.9 + 116.1. Let x = 1645.01422 - k. Round x to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(72)*-3 + 4) + 3)**2.\nAnswer: -972*sqrt(2) + 5913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-360)*4*-10*78\/(-2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 3*s**5 + 43*s**4 - 81*s**3 - 11*s**2 + 78*s - 32 = 0.\nAnswer: -16, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-4) + (-3)\/((-6)\/(-370)). Let r = 318 + i. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34*-7218.\nAnswer: 2454.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 5*v + 2*m, -2*v + 7*m + 12 = 3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 27 - 43 + 606*n**3.\nAnswer: 606*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)\/(-2*sqrt(7)))\/(sqrt(14)\/sqrt(63)) + -4.\nAnswer: -4 - 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36039230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 469416?\nAnswer: 1408248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1876250197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.26 and -607842691.\nAnswer: -607842692.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -12*o**2. Let i(y) = -y**2. Suppose -2*h = 3*h - 4*x - 16, 0 = h + 5*x + 20. Suppose h = 10*b + 6*b - 272. Let a = b + -11. Determine a*i(f) - z(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88\/352*3*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 - 13*k - 12. Let d be x(-11). Let g be (-1 + 0 - 0)*-20. List the prime factors of 332\/g - (-4)\/d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 332\/48)\/(2395\/140 - 17)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76298484 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1518 + 58*r**2 + 1518 + (3 + 2*r - 3)*(0*r - 3*r + r) + r**2 + 3*r**2 + 2*r**2 - 3 + 3 - 3*r**2 as q*r + f*r**2 + o and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 295 and 420965.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241917 is divided by 10995.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -72, 4, 3, 1.\nAnswer: -72, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201732453?\nAnswer: 3, 13, 1724209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 4 + -7 - (-1)\/(-2). What is the closest to b in -4, -3\/5, 36?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/25)\/(((-2)\/30)\/((-3)\/(-18))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/3*36\/(-150).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*m - 6 = 0. Suppose -m = 3*t - 8. Find the third derivative of t*i**6 - 3*i**2 - i**6 + 2*i**6 - i**2 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -4*k**2 + 13*k + 19. Let s(j) = 2*j**2 - 7*j - 10. Let y(b) = -6*o(b) - 11*s(b). Let c be y(4). Let l = 22 - c. Is l at least as big as -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 1187*w - 851. What is the lowest common multiple of 56 and h(1)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5.47 and 2.31.\nAnswer: 7.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 3*z + 2*z**2)*(4*z - 5*z - 3*z)*(-2*z + 3 - 3).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from lqlgjljglglpl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 405*f**5 - 2*f**4 - 1074*f**2 - 277333*f + 1 wrt f?\nAnswer: 8100*f**3 - 24*f**2 - 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4*x - 2, t + 14 = 3*t - 4*x. Let r(j) = -3*j - 18. Let v be r(-7). Suppose 4*o - 9 = v*o. Solve 4*l = 4*u + 2 + 2, o = t*l - 5*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.219 to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.355 rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(1\/3*(-9)\/15). Solve g - y = 6*g, v + 2 = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yaasapayppps. What is prob of sequence ay?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 321090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + 0)*(-2)\/4. Suppose 0 = -2*l - 5*a + 20, 4*l - c*l = 5*a. Let -v**l - 2*v**4 + v**4 + 2*v**4 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/5 - 2932*m**2\/5 - 1074578*m\/5 = 0. What is m?\nAnswer: -733, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18368 or -54?\nAnswer: -18368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 + 5*q**3 - q**3 + (0*q + 0*q - 2*q**2)*(-3*q + 0*q + 7*q))*(-5 + 2*q + 5 + (-3 + 1 + 0)*(q - q + 2*q)).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 124*k**2 + 58*k + 23. List the prime factors of v(5).\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -257*t + 84. What is o(-1)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 2*a - 362, -199 = -2*w - 4*a - a. Let f = 4 - -1. Suppose -f*z = 2*l - 2*z - 24, 0 = 4*l - 5*z - w. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 + -48. Let c(r) = 6*r**2 + 3*r - 3. Let y(p) = 7*p**2 + 4*p - 4. Let z(d) = d**2 - 8*d + 3. Let o be z(7). Give l*y(h) + o*c(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffeh when four letters picked without replacement from {h: 6, f: 3, e: 2, n: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 22*w**2 - 2*w + 1. Let y be t(1). Let i be 1 + (2 - -3) + 4. Suppose b + 3 = i. What is the highest common factor of b and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/8)\/(-2*15\/40). Find the third derivative of -g*u**2 + 97*u**3 + 7*u**2 - 74*u**3 + 11 wrt u.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (990 + 2271*i - 4546*i + 2286*i)*(4 - 4 + 2*i + (0 + 0 - 2)*(-2*i + 2*i + 2*i)).\nAnswer: -22*i**2 - 1980*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-2)*44\/(-11). Suppose -h*a + 13 + 3 = 0. Solve a = 4*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 14 = -3*z. Suppose -5*d + 49 = 5*n - 2*n, -11 = -d - n. Suppose 162 = -z*c + d*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*n + 3. Let i(l) = -l + 0 - 2*l - 1 + l**n. Let z be i(-5). What is z rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 15, -3*f - 4*i + 7 = 16. Let h(a) = -14*a**2 - a - 2. Determine h(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*n = n - 4, -n = -1. Suppose c = k*c. Suppose y + 2 - 6 = c. Solve 0 = -7*o + 3*o - 4*f + 20, 4*o + 12 = y*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**3\/10 - 1990667*m**2\/5 + 3962755104889*m\/10 = 0.\nAnswer: 0, 1990667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**2 + 0*y + y - 2*y**2 to the form z + g*y + b*y**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -624341400*l - 485082735?\nAnswer: -624341400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -245680 by 10.\nAnswer: -24568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uhuhuuuuuauuuuuuu. Give prob of sequence ah.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*2*(3 + (sqrt(245) - (2 + sqrt(245))**2) + 6*(2 + sqrt(245)) + 1)*1.\nAnswer: -126*sqrt(5) + 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 8\/5, -0.043 in descending order.\nAnswer: 8\/5, -0.043, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 116099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**7\/840 + d**6\/72 + d**5\/30 + d**4\/12 - d**3\/3 + 4*d**2. Let j(r) be the first derivative of m(r). Give j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 164396 divided by 4.\nAnswer: 41099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1445 = -5*z + 3*g - 503, -4*g - 941 = -5*z. What is the remainder when z is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -354200 divided by -70.\nAnswer: 5060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 8:18 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23904, -47806, -71708, -95610, -119512, -143414?\nAnswer: -167316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*q - 49 + 2 + 2 + 29 - 4 as d*q + g and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42058 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2*u - 8, u + 7 = 3. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(77) + sqrt(77))\/(sqrt(84)\/(sqrt(120)\/sqrt(10))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**4 + 0*o**2 + 0*o**2)*(5*o + 3*o + 7*o) + 95 + 2*o**5 - 95.\nAnswer: -43*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/80 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 201 = 33. Let a = g - -218. What is the remainder when a is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v - 7. Let b be k(5). Let z(d) = -d + 13. Let j be z(b). Solve -4*s - 3*x = j, x = -s + 5*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from wttweutwewe?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d**3 + 3*d**2 + 2*d - 584. Let c be z(0). Let n = c + 591. What is the smallest common multiple of n and 37?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -39*g**2 + 7*g - 10. Let y(p) = -39*p**2 + 6*p - 11. What is -4*h(f) + 5*y(f)?\nAnswer: -39*f**2 + 2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2*r)*(111 - 181 + 108) to z + f*r and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -36463 (base 8) to base 12\nAnswer: -9097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (10 - (-4 - -7)) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 12 + 10 - 2*h**4 - 4*h**4 - 2*h**4 + 3*h**4 - 4*h**4 - h**4 + 3*h**4 + 2*h**4 - h**4 + h**4 + (-h + 0*h + 0*h)*(-1 + h**3 + 1).\nAnswer: -6*h**4 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 34 - 2302?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 538c - -5794?\nAnswer: ab31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86511686 to the nearest integer?\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*(5 + -4 + -3 + ((0 + sqrt(325))**2*-3 - (sqrt(325) - -6*-2*sqrt(325))**2)).\nAnswer: 161207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 176\/220 + (-9)\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, j: 13, g: 2, i: 1, u: 1, o: 1}. What is prob of sequence ggi?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) 3  (b) -19  (c) -1428  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 23*v. Let c(h) = 5*h**2. What is c(o(l))?\nAnswer: 2645*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence con when three letters picked without replacement from {c: 1, n: 3, j: 5, m: 7, o: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 4*f**2 + 25*f - 454. Let n be u(8). Find r, given that 0*r - 3\/7*r**n + 3\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 48*n - 304. Let s be d(40). Solve -31 + s = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 4. Suppose -k*n - 5*j - 396 = 0, j - 431 - 201 = 5*n. Round n to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-2)\/(-8)*16. Let c(m) = -m**3 - 8*m**2 - m - 8. Let x be c(y). Let z(l) = l**3 + 4*l**2 + 2*l - 1. Let n be z(-2). Solve x + n = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*o - 14 = 0, 2*u - 3*o - 16 = -o. Let h be (135\/35 + -3)\/(u\/28). Let p(x) = x - 3. Determine p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 4:45 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 6:54 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 30b991 (base 12) to base 10\nAnswer: 766909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsssssss. What is prob of picking 1 x and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**2 - 3*w + 3*w + 1 + (0*w + w + 0*w)*(-3*w + 4*w - 2*w) + 73*w**2 - 37*w**2 - 40*w**2 + 15*w**2 + 11*w**2 - 24*w**2 + 2*w**2 + 2*w**2 - 3*w**2.\nAnswer: -4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**3\/5 + 74*p**2\/5 - 1332*p\/5 + 4896\/5 = 0. Calculate p.\nAnswer: -51, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - -3. Suppose 4*r - j = -4*n, 0 = 5*r + 4*n + 6 - 36. Suppose 3*a = -r*a + 30. Solve -2*g + a = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186080 + 185984 - v + 185980 - 744023 + 185979.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-294)\/28*10\/(-15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uoonnonnnunnoo. Give prob of sequence nnnu.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -27. Let t = a - -13. What is the second smallest value in -2, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 24*v**3 - 8*v**2 - 5*v + 5. Let o be y(-5). Round o to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4773, 19222, 43301, 77010, 120349, 173318?\nAnswer: 235917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u + u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(84)\/sqrt(4) + sqrt(21)))\/(sqrt(3) + (sqrt(3) - sqrt(6)\/(sqrt(4)\/sqrt(2)))) - ((sqrt(1008)*-2)\/((sqrt(90)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: -448 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 9 + (1 + 2 - 2)*(-4 + 3 + 0) - 3 + 0 + 1 + 10 + 0 - 1 + (1 - 3 + 0)*(-4 + 2 - 2))*(2 - 2 - 2*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*a - 8. Let f(q) = 2*q - 4*q**2 + q + 6*q**2 - a. Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence imim when four letters picked without replacement from mwwimwwwmiwmmmwwiiww.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5201*j + 4866*j - 10501*j - 43 - 52 + 95.\nAnswer: -434*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 32515450 (base 6) in base 15?\nAnswer: 143b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(-4*w + 5*w - 3*w) + (-70 - 5 - 38)*(0*w + 0*w + 2*w).\nAnswer: -224*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 - -43. Let t be (-1824)\/(-1664) - 2\/(-13). Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -n**4 - 5188*n**3 + n + 97346 wrt n?\nAnswer: -4*n**3 - 15564*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 26  (b) -0.5  (c) 0.3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -62.79 - 1.21. Let k = -79 - q. Let x = k - -15. What is the biggest value in x, -1\/5, -5, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3811034760 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*x + 3 = 48*x, 5*x + 10 = -5*q. Sort q, -706, -5 in increasing order.\nAnswer: -706, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k**2 + 2*k. Let z(u) = -3*u**2 - 2*u. Give -4*a(c) - 5*z(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 4*s**2 + 16*s - 10. Let j be y(6). Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -820, 0.01, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 6\/7, 0.1, 140, 0.08 in descending order.\nAnswer: 140, 1, 6\/7, 0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 63745\/2 and 31872 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2974066*w + 2974736*w = 79730 for w.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -s**4*w**3 + 2*s**2*w**3 - 192*s - 6*w**3 + w with respect to s.\nAnswer: -4*s**3*w**3 + 4*s*w**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.15  (b) 0.3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 10 - 12*h - 7 - 2*h - 3*h + 3*h - h - 3 + 3 + (-3 + 0 + 2)*(5 + h - 5).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 4*y + 4*y + y**3 - 4*y + 6 - 6*y**2. What is b(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 2. Solve -2*c - 4*t = -24, -3*t + h*t - 21 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -125*p**2 + 1238*p - 1902. What is n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -130?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1363 to 2 decimal places.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 510\/8*1\/(-3). Let y = a + 21. Let v = 11\/5 + -2. Sort -4, y, v in ascending order.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6628, 6399, 5544, 3751, 708, -3897?\n\"Answer: -52*u**3 - u**2 + 138*u + 6543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -929511 (base 12) to base 16.\nAnswer: -230d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from nnnnnnnunynhh?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mfmypymfpfmymfpyyym.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/6)\/(6\/12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 1564.\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 703931493 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 58 = -0*r - a, -64 = -5*r + 2*a. Let m be ((-6)\/20)\/(r\/(-16)). Sort m, 0, -6 in ascending order.\nAnswer: -6, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.0000207 - -7. What is j rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/6  (b) 4  (c) 5  (d) 0  (e) 3629  (f) 3\/5  (g) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70256*y**2 - 58 + 58 - 70294*y**2.\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -68, -117, -196, -311, -468?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2108)\/(-1071)*9)\/(2\/56*8)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 697 a factor of 1013383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -205*v - 1445. Let p be t(-8). Calculate the greatest common factor of 403 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 459*o**2 + 1007970*o + 13176.\nAnswer: 3*(o + 2196)*(153*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, 6, 4 in decreasing order.\nAnswer: 6, 4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/57335 and -143\/106350.\nAnswer: 1219515450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 21a + -5263?\nAnswer: -5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 148 - 23. Let l = 1233\/79 - -77620\/711. Let a = l + v. Sort -2, 1, a in increasing order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 - -525303230?\nAnswer: 525303205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of -13*g**4\/4 + g**3 - g**2\/2 + 4*g + 20. Let w be q(2). Let b = -57 - w. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/5, -2.6, 1, 7, -30, -0.2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*y**3 - 2 - 18*y**3 + 54*y**3 - 1 + 77*y**4 - 27*y**3 to t + p*y**2 + o*y + x*y**3 + w*y**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*h**4 - 347*h**3 - h**2 + 137*h wrt h.\nAnswer: -336*h - 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 106*l + 446. Determine p(-116).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 3 = 4*f, 0 = 2*j - 0*j - 4*f + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - (909\/22 + -2). Let n = -107446\/11 + 9775. Let g = u - n. Calculate the common denominator of g and -25\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.63 - 26.37. Let i = 26.9923 + n. Round i to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9151.\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 222*g**4 + 12*g**3 + 121*g**2 + 4*g - 2.\nAnswer: 5328*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 + 113677*q - 113677*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1*27\/(-12) + -2). Let a be ((-45)\/(-162) + s\/18)*-8. Let j(b) = 5*b**2 - 8*b - 10. What is the tens digit of j(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.08 - -2.557039?\nAnswer: -9.522961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 5994, 2, 3 in decreasing order.\nAnswer: 5994, 16, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -5*k - 5. Let q(m) = -1. Let p(w) = -4. Let g(a) = p(a) - 3*q(a). Let r(c) = -6*g(c) + n(c). What is the units digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-10))\/(20\/25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -523 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 446356751 less than 0.0365108?\nAnswer: -446356750.9634892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0 = 2*k - 7, -k + 4 = b. Suppose -6 = -s + k. What is the third derivative of s*j**3 - j**2 + 2*j**4 - 11*j**3 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8114754 by 6.\nAnswer: -1352459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 5*y + 1. Let a be h(-5). Let m = -8 - -7.7. Let c be 8\/((-120)\/(-65)) - (-2)\/3. What is the nearest to a in -6, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Suppose j*c + 0*c = 32. Let u = -199 + 229. What is the remainder when u is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -653 + 1216. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of ((-38)\/(-3))\/((-72)\/(-28836))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from osofwffwfewx. What is prob of picking 1 w and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-21) - (-340)\/(-35). Let t be a\/5*-1 - -2. What is the third biggest value in -1, 2, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 240 or 18143\/76?\nAnswer: 18143\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 41*d**2 + 146*d - 55. Let v be c(-37). Calculate the greatest common divisor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -4*q + 5*w, -2*w = -2*q - 7*w + 32. Let x(i) = 2*i - 5. Let d be x(4). Let y = 11 - d. What is the least common multiple of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 0*d + 1\/60*d**5 + 1\/2*d**3 - 1\/4*d**4 + 4*d**2 + 8. Let l(j) be the second derivative of p(j). Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4252654 divided by -47.\nAnswer: 90482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 69.26531t?\nAnswer: 69265310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7718 in -0.3, 2\/11, -14, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7991, 7985, 7967, 7931, 7871, 7781?\nAnswer: 7655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**2 - 833140*k + 833140*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from lcpncpppccnjpsc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 2)*(1 + 2*j**4 - 1) + 102*j**4 - 15*j**4 + 39*j**4 in the form y*j**3 + i*j**2 + w*j + u*j**4 + t and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 45 - 33 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1095.1407 - -0.3907. What is z rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**4*w**(1\/36) assuming w is positive.\nAnswer: w**(145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x**(1\/4)\/x)\/((x*x**5)\/x*x*x*x))\/(x**(-1)\/x**(-7)))**(-3))**20 assuming x is positive.\nAnswer: x**885","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 + -19)*17\/34*(4 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -2.6. Let z = 5 + -5.1. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -909 by -2.\nAnswer: 909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:18 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {i: 1, h: 8, t: 3, r: 3, f: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3347 divide 254619678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 943 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.9031 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 6*w**2 - w + 11. Let v be n(6). Let i(b) = -3*b - 3. Calculate i(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22879935 is divided by 1168?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -4  (b) 3\/5  (c) -2\/15  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i**3 + 3*i**3 + 4*i**3 + i**3 + 0*i**3 + 0*i**3 + (i - 3*i + 0*i)*(2*i**2 + 2 - 2) + 16*i**3 - 97 + 97.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-7) + 4\/(-14). Let p(z) be the first derivative of -2\/21*z**3 - 1 + 3\/7*z**2 - l*z. Find s such that p(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3635 - 3625. Solve 15*q = 10*q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**11)**(-3) assuming n is positive.\nAnswer: n**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) -3\/2  (b) -1  (c) 3\/7  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 408 and 7242.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = j + 5*s, 2*j - 1529*s = -1520*s + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-1)*(-5 - -5). Suppose x - 2*a + 3*a = l, -a - 18 = -5*x. Solve g = -5*k - 22, -x*k - 9 = -2*g - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 6*g - 4. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -141203?\nAnswer: 141210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 1332216.\nAnswer: 1332216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (3 - (10 + -13 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(175)*2*-4 - (-4 + sqrt(175)*-2)))**2.\nAnswer: -960*sqrt(7) + 25264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a factor of 73340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192614 is divided by 38521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -140 - -140.1. Which is the nearest to x?  (a) -2  (b) -5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 743*b**4\/2 + 2*b**3\/3 - 4*b**2 + 4*b + 1. Suppose -4*t = -126 + 194. Let j be h(t). Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/861 and (-2851604)\/168756 + 1 + 16.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1112 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 485 + 35. Let n = y - 70. Let x = 387\/410 + 154\/41. What is the common denominator of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/953 and 23\/83296012.\nAnswer: 83296012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4747 is divided by 216?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 1\/21*u**3 - 40\/7*u**2 + 1600\/7*u + 52. Let g(b) = 0. Calculate b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2895735 divided by -15.\nAnswer: 193049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -194494?\nAnswer: 194490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -45, -96, -157, -234, -333, -460?\n\"Answer: -w**3 + w**2 - 47*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 195811 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*b + 15*b**4 + 4*b**5 - 156*b**2 - 66*b**3 + 5*b**5 + 3*b = 0. What is b?\nAnswer: -2, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/12*(-200)\/(-150)*21645\/(-65)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -15345*f**2 - f**3 + 7644*f**2 + 624 + 7853*f**2 + 620*f = 0.\nAnswer: -2, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10828, -10925, -11022?\n\"Answer: -97*i - 10731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -1564*i - 529. Let j(s) = 46*s + 15. Calculate 69*j(o) + 2*k(o).\nAnswer: 46*o - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 9 + 376\/(-40).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -171*p**4 + 625*p + 205089 wrt p?\nAnswer: -684*p**3 + 625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 1:05 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6744 = -7*z + 1173. Let u = z - 728. Suppose -40 = 3*f - u. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 18\/13  (c) -5  (d) 3\/5  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*p - 2*p - 15, 0 = -2*y - 8. Suppose j = -2 + 4. Solve -j - p = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -4805\/2389 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3*x**3 + 31*x**2 + 36*x + 22. Let d be r(-9). What is the greatest common factor of 2585 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 385583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.04*0.7\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1195492702*l**3*s**2 + 15*l**2*s**2 + 10748*l**2 + l*s**2 + 16*s**2 wrt l.\nAnswer: 7172956212*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h**2 - h + 1. Let p = 61 - 52. Let y be p\/(9\/(-2)) + 3\/1. What is w(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/9 - 160*v**2\/9 + 3200*v\/9.\nAnswer: 2*v*(v - 40)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 + -128. Let f = t - -62. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -2*sqrt(80) + 5 + 2 + 2 + 2*(sqrt(80) + 0 + 1*sqrt(80) + sqrt(80) + sqrt(80))**2.\nAnswer: -8*sqrt(5) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 - -39. Let h be 2 - x - (-1 + 2). Let f(c) = c**2 + 5*c - 6. Calculate f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l**3 + l**3 + 6*l**3 + 8*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 + 25. Let y be 8\/(5\/(20\/c)). What is the units digit of (-7)\/(-14) + (-86)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*(c*c*c\/((c\/c**2)\/c))\/c*c**(-1\/9)\/c*(c\/c**(-2\/11)*c)\/(c**(-6)*c) assuming c is positive.\nAnswer: c**(1096\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h - 5*y - 183 + 158, -15 = -2*h + 3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 165745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**3 - 12380*m**2 + 12436028*m - 4008031588 = 0. Calculate m.\nAnswer: 697, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 + 52188774*o - 226972344301923.\nAnswer: -3*(o - 8698129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 12*l**2 + 15*l + 22. What is t(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = h + 2*h. What is the remainder when 61 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of -4*c + 1\/6*c**3 + 0*c**2 + 0. Let r(p) = -8*p - p - 10*p. Give r(f(v)).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 345 = -95. Which is smaller: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*w**5 - 580*w**3 + 11*w**2 + 37*w - 268 wrt w?\nAnswer: -80*w**3 - 3480*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b - 3. Let o be z(-8). Let p be 2 + (2\/(-2) - -7). Suppose o*k = k + p. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 36. Let v = 27 - s. Suppose v = 2*i + i - 15. Solve i = -5*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -925 + 1003. What is the remainder when ((-26)\/p)\/(2\/(-762)) is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -173.22 and -114.\nAnswer: 19747.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**3 + 2*g**2 - 18*g + 12. Calculate x(4).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -16*t**2 + 6*t - 38. Let i(k) = 15*k**2 - 5*k + 27. Give 7*i(l) + 6*p(l).\nAnswer: 9*l**2 + l - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72919\/40 - -1823. Let q(d) be the third derivative of -16*d**2 + n*d**4 + 0*d + 1\/600*d**6 - 1\/30*d**3 + 0 - 1\/100*d**5. Factor q(w).\nAnswer: (w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -223593 and 30?\nAnswer: -6707790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17985930 is divided by 161?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 325 = 5*c, 0 = 4*m + 2*c + c - 317. Suppose 0 = 3*l - m - 100. Suppose -2*u - 4 = -u, 5*q - 5*u - l = 0. Solve -3*j = -7 - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 206 and 22?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 6098*d - 6096*d + 12, -2*k = -5*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f + 3*f - f)*(10*f**2 - 9*f**2 - 2*f + 0 - 4) as s*f**2 + r*f**3 + y*f + m and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5) + -1 + (-1*sqrt(5))**2.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1708393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.214762 to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 4*q - 11, -21*h - 2 = -20*h - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 6*t**2 - 3*t - 4. Let v(h) = 2*h - 5. Let s be v(5). Determine n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-1\/15)\/((u**2*u)\/u)*(u*u**(-5))\/((u**(-1)\/u)\/u) assuming u is positive.\nAnswer: u**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1171759697 rounded to four dps?\nAnswer: -0.1172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 4*g**2 + 2*g - 2. Let r be b(-2). Calculate the least common multiple of 50\/(-15)*(-6)\/5 and (15\/r)\/(9\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*g + 595 = -63*g. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.2018, 3\/7, -83 in ascending order.\nAnswer: -83, -1.2018, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 180.128 to zero decimal places.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/20)\/((1*-2)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -10*m**3 - 2*m**2 - 9*m - 17. List the prime factors of k(-3).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*u**2 - 2*u**3 + 8*u**2 - 3*u**4)*(3*u + 0*u - 4*u).\nAnswer: 3*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**2\/7 + 816*j\/7 + 7760\/7 = 0. Calculate j.\nAnswer: -194, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -430 + 433. Calculate the least common multiple of 167 and h.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of a**4\/12 + a**3\/3 - a**2 + 7*a - 8. Let c(o) be the first derivative of t(o). Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 3*n + 74. Let j be x(0). Let o = -52 + j. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61507 is divided by 3236?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -36  (b) -1  (c) 0.07  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m. Let i(n) be the first derivative of 0*n - 1\/2*n**2 - 1. What is j(i(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -5. Let j = 10039 + -10042. Which is the closest to v?  (a) 3\/2  (b) 3\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -57*s**2\/2 - s + 3. Calculate the remainder when y(-2) is divided by 1*((-7)\/3 - -2) + (-15260)\/(-654).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 217 + 24. Let y = -77 + n. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -51, -195, -465, -885, -1479, -2271, -3285, -4545?\n\"Answer: -4*w**3 - 39*w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*s = 1120 - 1375 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -3. Let j(l) = l**3 + 3*l**2 + l + 1. Let o be j(h). Suppose o*k - 1 = 17. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(15\/7)\/p)**47\/(p*p**(-13)*p**(2\/17)) assuming p is positive.\nAnswer: p**(7806\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*h - 160980236 = -10*h - 486474236. What is h rounded to the nearest 100000?\nAnswer: 36200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -392 divided by 47.\nAnswer: -392\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/345 and -63\/460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3 + 3*d**3 - 10*d**2 + 6*d + 1459*d**4 - 1457*d**4 = 0. What is d?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -24, 3\/4, 154, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -5 + -1 + sqrt(700) + 2)*5)**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 139?  (a) -0.5  (b) 1\/3  (c) 1.3  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1345416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 134 + -133.99999909. Round i to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) - sqrt(176)*-3*4.\nAnswer: 52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 292355566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 291882.9+149\nAnswer: 292031.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4553364?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m**2 + 0*m**2 + m**2 + (-11*m - 3*m - m)*(9*m + 20 - 20) as n*m**2 + k + d*m and give n.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 168092909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 200834819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -5*y + 1280, y - 4*y + 2*u + 761 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 8, j: 8, k: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 8*t**2 + 5*t + 7. Let h be j(8). Let d be -6*h\/(-1256) + 3. Let u = d + 4\/157. What is the common denominator of 9\/11 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -360\/643?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-4) - 51\/(-12). Suppose a + 4*a - 22 = -s, a - w*s + 6 = 0. Calculate the highest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1705442.3*1\nAnswer: 1705442.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 less than 106?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3012891 to the power of 1\/2, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13593270 divided by 447.\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.78 + -0.780057. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 778360007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 10\/(-45) - (-476)\/36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-6\/13)*h**(-8\/13))\/((h*h*h\/h**(5\/2))\/h**24) assuming h is positive.\nAnswer: h**(609\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**4\/7 - 20*j**3\/21 - 12*j**2\/7 + 198. Solve i(o) = 0 for o.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -270 + -290974?\nAnswer: -291024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28297 is divided by 178.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, k: 4, z: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1402*z + 4351*z + 10646*z - 680199 - 1005581 = 0 for z.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4*r**2 - 1. Let o be u(-1). Suppose o*k + 4*v = 2*v + 3, 0 = 5*k + v - 12. Let i be 3*1 - (-10 - -1). What is the greatest common factor of k and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -283767, -283754, -283741, -283728?\nAnswer: -283715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 308 = x - 71, -785 = -2*x - m. What is the remainder when x is divided by 152?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13890 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -4, -1\/3, 1\/6, -11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3*f + 9 = 6, -4*f - 12 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*w**2 + 42*w**2 + 102*w**2 + 206*w**2 + 54*w**2 to p*w**2 + c*w + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 31*i**2 - 64*i + 78. What is k(-33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1220 + 0?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 68b (base 15) to base 16\nAnswer: 5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -1295*h**3 - 2711*h - 14. Let z(l) = -432*l**3 - 901*l - 4. Let b(j) = 2*x(j) - 7*z(j). Find the second derivative of b(y) wrt y.\nAnswer: 2604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of v**6\/120 + 4*v**5\/15 - 13*v**4\/24 + 25*v**3\/6 + 33*v**2 + 5*v. Determine m(-17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 9 = -4*l, -4*x + 3*l = 6*l + 29. Let m = x - -16. Suppose -599 = -3*w - 2*z, 0 = m*w - 3*z - z - 1035. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 27818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 18 = -3. Let d = -21 + c. Let o = d + 29. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1 - (1 - -1) - (1 - 80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z**2 + 9*z + 354. Let c be y(-23). Is 3 a factor of c\/(-6) - (-3)\/((-9)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -y**3\/6 + 3*y**2 + 12*y. Give s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 - (-66 + 78 - (-5 - -8))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**3 - f**4 - 137*f + 2*f**3 + 141*f + 3 to the form z*f**2 + p*f + c*f**3 + g + j*f**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**2 + 6*l**2 - 2*l**2 + (-4*l + l + 2*l)*(-3*l - l + 2*l)*(9 + 0 - 2).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -247201, -247202, -247203, -247204, -247205, -247206?\n\"Answer: -r - 247200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*q - 3*f, q + 4*f = 6*f + 6. Let o be (-1 - 0)*q + 3. What is the first derivative of -3*r + 4 - 2 + 6*r + o wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1938 divide 914699619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(187)*1*2)\/(sqrt(1584) - (((sqrt(1584) + sqrt(1584)*1 + sqrt(1584))*2 + sqrt(1584) - sqrt(1584)) + sqrt(1584))) + 1.\nAnswer: -sqrt(17)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*51080.\nAnswer: 25540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/2*2*-1. Let x(t) = 26*t - 130. Let f be x(5). Let g be 17\/(-34)*(0 + f). Solve -3*s - 3*l + 1 - 7 = 0, g = z*s + 5*l + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -132*y**5 + 239*y**2\/2 - y + 1143. What is the second derivative of q(b) wrt b?\nAnswer: -7920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 3\/(-3))\/(10\/(-790)). Let s = f - 75. Suppose -5*c + 4*r = -41, 0*c = 2*c - s*r - 26. Solve -n + 20 = -c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -343 by 335852.\nAnswer: -343\/335852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.8 - 1.9. Let o = -0.46 - l. Let u = -0.04 + o. What is the third smallest value in u, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -12501  (b) -5  (c) 149  (d) 1\/3  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*z - 21*z + 65. Suppose 41 = z*s - 37. Solve 2*u = s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2653*o + 2661*o + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 4*g**2 - 473*g + 8613. What is w(19)?\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*v + 2*j - 277, -v - v + 270 = 2*j + 334 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 10:09 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 4*n**2 - 2*n + 5. Let j be w(-7). Let v be 1*5000*j*-2. Round v to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2 - 63\/(-6). What is the greatest common factor of 88 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1443 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*p + 12 = 61*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7988, -8071, -8170, -8291, -8440, -8623, -8846, -9115?\nAnswer: -9436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 1 = -q, 0 = -4*q - q + 4*x - 2. Solve 0*t = -q*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4261, 8728, 13413, 18322, 23461, 28836, 34453?\nAnswer: 40318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*p - 1. What is the common denominator of -149\/6 and (-226)\/(-12) - 4\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = k - 0*j + 7, -5*k + 1 = 3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-6)*-1*4. Let t = m - -1. Let b(r) = 0*r**2 - 1 + 3*r**2 + t*r - 4*r**2. What is b(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k**2 - 2*k**2 - k**2)*(8*k - 5*k + 16*k)*(-3*k + 7*k + 0*k).\nAnswer: 152*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -2 + -3 + 1. Let f = -4 - -7. Let c be 162\/(-30) - (0\/(-4) - f). Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c - 76*o + 79*o = 3, 1 = 2*c - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (sqrt(1573)*3 - sqrt(1573)))**2 + 0 + sqrt(13) + -3 - ((sqrt(13) - sqrt(13)*2)**2*-2 - -1*sqrt(637)).\nAnswer: -6*sqrt(13) + 5756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1532 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18.16 + 19.16. Which is the second biggest value?  (a) 5  (b) y  (c) 0.19  (d) -5  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*b**2*y - 131179*b**2 - 383818*b*y**2 - 49*b wrt y.\nAnswer: -8*b**2 - 767636*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 - 5)*(25*b**2 + 34*b - 34*b) + 8 + 3*b**2 - 4*b**2 - 2 as a*b + g*b**2 + k and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -c**2\/2 + 8*c - 11. Let o be k(5). Suppose 0*m + 5*m = -2*u + 10, 0 = -o*m - 4*u + 6. Solve 4*r + m + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of c**6\/2 + 108*c**5\/5 + 201*c**4\/2 + 196*c**3 + 387*c**2\/2 + 96*c + 456. Factor b(u).\nAnswer: 3*(u + 1)**4*(u + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 3\/2, 0, -4, 53, -14\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -z**4\/4 - 10*z**3\/3 + z**2 - 6*z + 6464. What is a(-11)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12649 + 12423. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 105, 158, 211?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of x**3*y**4 - 6*x**3*y**2 - 9*x**3*y + 2*x**2*y**2 + 253*x*y**5 - x*y**3 wrt y.\nAnswer: 24*x**3*y + 15180*x*y**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 179239664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -519, -278, -11.\nAnswer: -519, -278, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -246.188*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 649\/12 + -54. Let m = -276.4 + 308. Let p = -32 + m. What is the third biggest value in 2\/15, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 3*o**3 + 14 - 22 - 2*o**3.\nAnswer: o**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-277 + 277 - 4*w**2)*(-1013*w + 4036 - 4036) to u*w + v*w**3 + g + r*w**2 and give v.\nAnswer: 4052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33691860 by 30.\nAnswer: 1123062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -734\/3, -247, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 17*w**8\/112 - 13*w**4\/24 - w**3\/3 - 120*w**2. Find the second derivative of o(u) wrt u.\nAnswer: 1020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53 times 2?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 3*j**3 - 21*j**2 + 2*j - 991. Is b(30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.4  (b) 0.1  (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/10*1 + 1. Let f be (-414)\/(-10) + (-5)\/(-15). Let r = -127\/3 + f. Which is the second biggest value?  (a) d  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n - 13. Let s be q(18). Find the first derivative of 24*v**2 + 0*v**2 - 2*v**2 + s*v**2 - 3 wrt v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, k: 3, x: 3, u: 3, l: 6}. Give prob of picking 2 x, 1 v, and 1 l.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**5\/2 + 5*r**4\/6 - 25*r**3\/6 + 5*r**2\/2 + 5*r\/3 - 4\/3 = 0.\nAnswer: -4, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 1. Let l(n) = -5*n + 2. Let y(s) = -k(s) - l(s). Let j be y(1). Solve -4\/5*o**4 - 3\/5*o + 3\/5*o**3 + o**j - 1\/5 = 0 for o.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8329315 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.4 - 3.3. Let q = 9.03 + -9. Let b = n + q. Which is smaller: b or 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 5*q - 42, -3*g + 2*q = -5*g - 100. Let x = 55 + g. Find the third derivative of 6497 + 31*f**5 - 6497 + 13*f**2 - x*f**5 wrt f.\nAnswer: 1680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -12*r**2 - 13296472*r - 17728608 = 0.\nAnswer: -1108038, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 595506 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1702445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + -69. Let v = -86 - o. Suppose -3*b + 4*y - 1484 = 352, 0 = v*b - 2*y + 2448. What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/6*(-5)\/((-100)\/(-24)). Let s = 58 - 56. What is the third derivative of -w**4 - s*w**x - 228*w**2 + 220*w**2 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzenfzwzwnv. What is prob of picking 1 w and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = g - 96. Suppose x + 3*x = g. What is the second derivative of 3*n - 2*n**3 - x*n + 2*n wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1573814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/5)*r*r**(2\/27))**(-17))**(-9) assuming r is positive.\nAnswer: r**(3842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 2:16 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -2\/399 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46958 and 886.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 6*u**2 + 2. Let i = 17 + -23. Let v be r(i). What is the second derivative of -21*h**2 - 20*h**2 + 25*h**v - 11*h wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 7*w - 3. Let d(s) = -s + 10. Let q be d(8). Suppose 0 = -v - 0 + q. Is a(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331 is divided by -27*(-14)\/6*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 854 is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4512 = -4*c + o, 3*c = -2*o - 3377. Let j = 6677\/6 + c. Calculate the common denominator of -137\/48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-5)\/(-20))\/(6\/8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -420224 (base 5) in base 14?\nAnswer: -506a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 387921768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122980 - 107570 = 4362*x - 12*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32360 + 19322. Let o = -12951.21 - s. Let m = -86 + o. What is m rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214673 = 5053*q - 18972*q + 33726 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07 - 5.07. Suppose g - 5*g = 0. Suppose g = -v - 3*v - 4. Which is the nearest to v?  (a) 5\/2  (b) -2\/5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8295135.82 rounded to the nearest 100?\nAnswer: -8295100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by 22990?\nAnswer: 18\/11495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 11) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*g = 3*c - 2385, 0 = 2*c - 2*g - 950. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2395.267 decades to centuries.\nAnswer: 239.5267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.4, 12\/7, -25, 399?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -2. Suppose -2*h - h + 122 = 5*y, h - 49 = -b*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 370664.\nAnswer: 2, 7, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 165 - 163. Suppose -4*i = -n*l + 7*l - 140, 106 = 3*l - 2*i. Let w(s) = -64*s - 3. What is the remainder when w(-2) is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -33*r + 30*r, -2*g + 81658 = 5*r. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 5*k + 0 + 6 - 35*k**2 + 29*k**2. Suppose -u = 4*u + 40. Let m(g) = -9*g**2 + 8*g + 9. Let l(f) = u*v(f) + 5*m(f). Determine y so that l(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 != 1505\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -82*c + 498. Calculate the least common multiple of a(3) and 282.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 156?  (a) 1  (b) 4  (c) -0.5  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -24*c - 106. Let d(z) = 5*z + 21. Let g(b) = -11*d(b) - 2*y(b). What are the prime factors of g(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.16185 + 12399.11878.\nAnswer: 12398.95693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1760 - -3839. Is 40 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 3\/4, 0.4, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 + 41 - (-26 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f - b16de?\nAnswer: -b16cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3184\/49 <= 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 462 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4578719 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 201*l + 2. Let x(v) = -5*v**2 - 45*v. Calculate x(o(u)).\nAnswer: -202005*u**2 - 13065*u - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 240 + -2?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b + 7. Let h be t(5). Suppose -h*k - 70 + 212 = 0. Let x = -47 + k. What is the remainder when 119 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/1849 + 109101\/9245. What is the common denominator of 20\/281 and g?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 3346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8373119 - 4?\nAnswer: -8373123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15358*i**5 - 38*i**2 - 3*i - 29?\nAnswer: -921480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m - 2*m - 6*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + 3*(-2*sqrt(832))**2*-1)*-4 + 3.\nAnswer: 239739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 867 + 58225?\nAnswer: 58a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (8 - 3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23 - (17 + 9 - -8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5043*k**2 + 14156*k**2 + 43 - 43.\nAnswer: 9113*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, c: 2, g: 1, n: 2, w: 5}. Give prob of picking 2 z and 1 g.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-14)\/4)*(-32)\/(-312)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (225\/(-135))\/(10\/72)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/13, -0.03, 5.6733?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 151749 in increasing order.\nAnswer: -3, 2, 151749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 521750 (base 10) to base 16.\nAnswer: 7f616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/2 in 14, -0.1, 9, -1, 2, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 13 + -12 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -9*p**2 - 40*p + 52. Give n(7).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4930697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1403\/65 + -278\/13. What is t in -2\/5*t + d + 1\/5*t**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1253*a*g*n*p + 2*a*g*p - 6*a*g + 10*a*n*p + 9*a*n - 2*a*p - 9*n*p + 4*n + 4*p wrt g.\nAnswer: 1253*a*n*p + 2*a*p - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 235*o - 230*o - 35. What is the closest to 35 in o, 0, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 356 + -213. Let t = -136 + l. Does t = -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1888000 divided by -2.\nAnswer: 944000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j**3 + 309*j**2 + 1188*j + 885. Let i(o) = 9*o**3 - 617*o**2 - 2375*o - 1769. Let g(b) = -5*d(b) - 3*i(b). Factor g(h).\nAnswer: 3*(h + 1)*(h + 3)*(h + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 477460288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2804 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*n*t**3*y + 14*n*t**3 + 2*n*t**2 + 2*n*t*y**2 + t**3*y**2 + 434*t**2*y - 2*t**2 wrt t?\nAnswer: -18*n*y + 84*n + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2251574?\nAnswer: 2, 13, 86599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 474 = 2*r + 470, -4*r - 86 = -47*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 1, 3, 9.\nAnswer: -1\/2, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 208 - 196. Suppose k = -5*k + p. Solve o - 2*o + 8 = -4*t, -k*t = -o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 3009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 8265350.\nAnswer: 33061400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3933 - -3924. Which is the nearest to 2\/13?  (a) -2\/11  (b) -0.3  (c) x  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 73312733 to the nearest integer?\nAnswer: 8562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4\/4 - 5*d**3\/2 - 11*d**2 + 213*d\/2 - 693\/4.\nAnswer: (d - 11)*(d - 3)**2*(d + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 220.47 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(198) + (sqrt(198) + sqrt(198)*1)*1 + sqrt(198))\/sqrt(11))\/(sqrt(36)\/(sqrt(12)\/sqrt(3)*-4 - sqrt(4))) + -2)**2.\nAnswer: 80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -3*o**4 + 108*o**3 - 366*o**2 - 2988*o - 2511 = 0?\nAnswer: -3, -1, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -877 greater than -732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1886)\/2024 - 4\/(-22). Let l = 1\/28 + 107\/140. Let v = -57 - -229\/4. Which is the fourth smallest value?  (a) l  (b) v  (c) -0.4  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 0, 11, 3, -29495, 0.7 in descending order.\nAnswer: 11, 3, 2, 0.7, 0, -4, -29495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2238 is divided by 1099?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**2 + 29404144*z + 216150921093184 = 0?\nAnswer: -14702072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 4639194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 137 + -133 - 102\/26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -428 times 0.5?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 34 = 2*i, 214*s = -4*i + 209*s - 76. Let x(k) = -3*k + 2. Let q(u) be the first derivative of -11*u**2\/2 + 9*u + 1. Give i*x(z) + 2*q(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -284 by -679.\nAnswer: 284\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -3 + -2 - 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i**2. Let b(t) = -12*t - 10. Let l(y) = -53 + 3*y + y + 54. Let z(v) = -b(v) - 10*l(v). Determine s(z(u)).\nAnswer: 3136*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 7:08 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/233 + 269\/2796. Which is the closest to -0.2?  (a) 3  (b) -0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 562*z**5 - 827*z**2 - 2*z wrt z?\nAnswer: 33720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -15*y + 5. Let v(r) be the third derivative of r**4\/3 - r**3\/2 + 20*r**2. Give 3*h(s) + 5*v(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/3)\/(4\/(-6)). Let g(o) = 53 - 2*o**b - 53. Let j(v) = 7*v. Calculate g(j(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -50, 1, 2 in decreasing order.\nAnswer: 2, 1, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -41*v + 31*v + 28*v - 40*v. Let j(g) = g. Let a(f) = -8*f. Let q(t) = a(t) + 6*j(t). Give c(q(p)).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*u = -114, -3*x + 7*x - 467 = -u. Suppose -8*l - 2*t + 66 = 0, -4*l - 14*t + 34 = -12*t. Calculate the smallest common multiple of l and x.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35700\/3213*702\/(-104)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2387 divided by 3\nAnswer: 2387\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.154233 millimeters to nanometers.\nAnswer: 4154233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*m - 2 = -4, -4*k - 3*m = -3. Let a be 16\/(k - -4) - -14996. What is a rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/7)*t**(-3))**(4\/37))**36 assuming t is positive.\nAnswer: t**(-2880\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*p + 39, 5*t + 27 = -p - 3*p. Sort -2, t, 2\/11 in descending order.\nAnswer: 2\/11, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - s = 21*z + 785820, 0 = -z - 2*s + 157153. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -18b195?\nAnswer: 18b190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -651436*r**3 + 2*r**2 - 530812*r.\nAnswer: -3908616*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) 0.1  (b) -0.4  (c) -4  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174507 is divided by 21801?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (435\/6)\/(-5) - 2. Let u = v - -17. Let z = 2 + -1.9. Which is the biggest value?  (a) z  (b) u  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 12) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17446 and 914329?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -19717.4 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -0.3, -44327, 51 in descending order.\nAnswer: 51, 2, -0.3, -5, -44327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -595 - -635. Suppose -3*t + z = 43. Which is the closest to t?  (a) -0.2  (b) -7  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkvckcgmmmgckkvkakk. What is prob of picking 1 m and 1 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 1\/3, 0, 3\/5, -0.4, -12.\nAnswer: -12, -0.4, -0.03, 0, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9999*g + 874*g**2 - 9999*g)*(0 + 2*g + 0) - 2*g**3 + 2*g**3 + 3*g**3 to p*g**3 + b*g**2 + j*g + d and give p.\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**2 - 174*i - 1067. Give c(-11).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 21*g - 56*g - 34*g = 2706 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 + 30. Let n(t) = -5*t + 1. Let y(p) = 4*p. Calculate c*y(h) - 3*n(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) 0.2  (b) 1\/12089  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*d**3)*(-1 - 7 - 6).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sqwz when four letters picked without replacement from {m: 3, q: 5, l: 5, w: 1, s: 4, z: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -6 + 68*q**2 + 2*q**3 - 8*q + 59*q**2 - 117*q**2 - 3*q**3. Let p be y(9). Solve -p - 22 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15839 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 23 = f, 4*f + 8 = -0. Suppose 0 = 15*c - 4*c - 22. Let m(j) = -31*j + 22 + 10*j + 9*j + c*j. Let i(w) = -4*w + 9. Calculate g*m(n) + 12*i(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-83)\/(-1 - -53 - 2) and 91\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 27*k + 5. Let r(u) = -13*u - 2. Calculate 2*g(w) + 5*r(w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21355 = -4254*x + 19963 - 3781 - 7759 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -205\/4 - -5447\/108. Let r be 0 + -4 + 295587\/(-135). Let v = -2188 - r. Calculate the common denominator of w and v.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -742186600 rounded to the nearest 1000000?\nAnswer: -742000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39.0000806 - -39. What is j rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359.0305 + 0.1?\nAnswer: 359.1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131439, -131427, -131407, -131379?\nAnswer: -131343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rca when three letters picked without replacement from carrakx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5*6\/(-15)*1. Let q(n) = 4*n**s + n**2 - 3*n**2. Let y(z) = -40 + 20 + 20 - 23*z. What is y(q(l))?\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2533100 and -3.\nAnswer: -7599300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 4*k - 0*k - 3, -2*k = 2*b - 12. Suppose k*f - 48 = -15. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(3\/11)\/(o\/((o\/(o\/(o\/((((o\/o**8*o*o)\/o)\/o)\/o))))\/o)) assuming o is positive.\nAnswer: o**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89 = o - 11*c - 237, 0 = 3*o + 3*c + 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*x - c, 0 = 4*x + 3*c + 2*c + 4. Let w(f) = -75*f + 1722. Let s be w(23). Sort s, x, 5 in ascending order.\nAnswer: s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -348781 and -0.5.\nAnswer: 174390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 128, 169, 246, 377, 580, 873?\n\"Answer: 3*m**3 + 20*m + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 247 - 261. Is ((-21662)\/(-5))\/(x\/(-35)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6133574?\nAnswer: 2, 3066787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -367*z + 36442. Calculate p(97).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11652\/5 or -2329?\nAnswer: -11652\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6038794 + 6039392 = -299*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222344797 equal to 1222344797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 + 12 = 9*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 162.93 - 163. Let t be ((-35)\/(-21) + -3)*-2. Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 11*u**4 - 11*u**3 + 9*u. Suppose 2*m + 15 + 3 = 0. Let g(c) = -5*c**4 + 5*c**3 - 4*c. Let b(p) = m*g(p) - 4*z(p). Suppose b(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s - 9. Let q be g(11). Solve 0 = q*o + o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, s: 1}. Give prob of sequence js.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1044652854 to the nearest 10000.\nAnswer: -1044650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 - i**4 + i**4)*((-3 - 1 + 3)*(-6*i - i + 4*i) - 41*i - 12*i + 11*i + (2 - 4 + 1)*(4 - 4 - i)).\nAnswer: -38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**3 - 2*h**2 + 21*h. Let c(x) = 2*x**3 - 3*x**2 + 22*x. Determine -2*c(a) + 3*s(a).\nAnswer: 2*a**3 + 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*a**2*s**4 + 5363*a**2*s**3 + a**2 + 71811*s**2 wrt s.\nAnswer: 240*a**2*s + 32178*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 12*p**2 - 12*p + 14. Let x be g(11). Factor 6*l**x - 3 - 15\/2*l + 3\/2*l**5 - 3*l**2 + 6*l**4.\nAnswer: 3*(l - 1)*(l + 1)**3*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 - 49*n - 135. Determine j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 1 + -3 + 1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -410676516 - -3?\nAnswer: -410676513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 8*q - 7*q**2 + q**2 - 7 - 2*q**2. Let f be o(9). Does 21 divide (-68)\/(-8)*4 - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/1330)\/(3\/(-15)) + (-11)\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/42)\/((-2)\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 11*z**2 + 5*z - 9. Let j be x(11). Suppose 0 = 4*r - 5*r + j. Let 5*w + 7*w - 50*w**2 + r*w**2 = 0. What is w?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 1:04 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/92644 and 113\/2332.\nAnswer: 1019084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18392)\/(-494) + -32 - (-4)\/(-104)*6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162924 is divided by 1038.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 0*h**2 - 3*h**2 + h + 2*h**2. Let i be d(1). What is the tens digit of (-90)\/(-6) + 1 + i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*d**3 - 1515*d**2 - 3740*d + 1740.\nAnswer: -5*(d + 3)*(d + 58)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1258 and 61272.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3*((-308)\/33 + 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w + 1 - 10757*w**2 - 10762*w**2 + 21540*w**2. Let b = -33 - -34. What is x(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w - 2*w = -14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.08 and 319414.72289.\nAnswer: 319414.80289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 4*y - 46 = 0, 0 = -t - 0*y + y - 14. Let k be (t\/(-3))\/(18\/108). Let s be (-38)\/k + 12\/12. Is -0.1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30 + -10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**3 + 11*a**2 + 2*a + 1. What is the remainder when 62 is divided by s(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -m - 2*b + 25, 3*m - 5*b = 95. Let x be ((-16)\/m)\/(2\/(-100)). Solve 2*u = 2*l + 2*l - 30, 5*u = -l - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 32 + -79. Let l = 91 + j. Let u = -23 + l. What is the greatest common divisor of u and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 3 = -8. Which is smaller: i or -4\/77?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from yyjytyywjjjmddmj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -i**2\/2 + 26*i - 10. What is the smallest common multiple of z(12) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46788212 bigger than 46788210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(405) + 0 + -3 - (sqrt(405) + 0 + -1 + sqrt(405) + 4).\nAnswer: -9*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10708 + -10704. What is the closest to -36 in p, -0.2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 11:49 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1458) - 1*sqrt(1458)) - sqrt(1458))\/(4*sqrt(216)*1)*-6.\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 8) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 12452.94 to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (-2)\/(4\/(-2138)). Let u = -6467\/6 - s. Find the common denominator of (3\/(-2))\/((-28)\/(-152)) and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -56, -160, -334, -578, -892?\n\"Answer: -35*b**2 + b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -932, -3508, -7794, -13784, -21472, -30852, -41918?\n\"Answer: h**3 - 861*h**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssjjsjsjssjsss?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 138 = -4*j, 3*j - 55 - 45 = 5*b. Suppose 5*v - j - 175 = 0. What is the greatest common factor of 112 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/286 and -30\/59.\nAnswer: 16874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/10)\/((-39)\/(-104))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/10  (b) -13  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -0.056?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60715*a + 0*a**4 - a**2 + 15*a**3 - 2 + 60716*a + a**4 to the form b*a**4 + t*a + w + u*a**3 + c*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 6:33 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13013 - -13016. Suppose 4*t - 13 = 4*a - 7*a, -4*t = -4*a - 48. Let h be c - t\/((-28)\/(-24)). Sort 5, h, 15 in ascending order.\nAnswer: h, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z - 3. Let h be s(2). Let d(m) = -m**2 + 2*m - 3. Let l be d(2). Let i = h + l. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 4*b**2 - 5*b - 4. Let t be w(-3). What is the second derivative of t*i + 0*i - 6*i**3 + 0*i wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -293415 - -686212. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26524 (base 7) in base 2?\nAnswer: 1101111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 338, 376, 414, 452, 490, 528?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o + 1. Let a(d) be the third derivative of 0*d + 0 + 1\/3*d**4 + 1\/30*d**5 - 5\/3*d**3 - 12*d**2. Let u(r) = a(r) + 2*g(r). What is n in u(n) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-3 + 14) - (42 + -59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*9\/(-6)*124\/(-6). Let a = 61 - n. Let f(h) = -8*h**3 + h + 1. Give f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t\/(t**(2\/13)\/t))*t\/t**(7\/4) assuming t is positive.\nAnswer: t**(-83\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3502, -6807, -10112, -13417, -16722?\n\"Answer: -3305*t - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 726 and 218405?\nAnswer: 1310430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -4, 0, -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 46054*r**4*s**2 - 2*r**4*s + 4*r**2*s - 11*r**2 + 2*r + s**2 + 547 wrt r?\nAnswer: 1105296*r*s**2 - 48*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -1861*m**2. Let g(j) = 2*j. What is g(i(a))?\nAnswer: -3722*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/108*(-8)\/(-60)*-3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -842700 to the nearest 10000.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8789211 - -4452716. Let x = c + 4336495.2089859. Let q = -0.209 + x. Round q to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333758*c - 1013 = 333641*c + 2965 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/21*(2861 - 0). Let i = c - -815. Let a = -2507\/4 + 617. Find the common denominator of i and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62 - -77. Let i(o) = -c*o + 11*o + 7*o + o. Let d(x) = 10*x. Calculate i(d(r)).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1861946969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10032)\/(-4560)*(-1)\/(-1)*-5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474 is divided by 73?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17111665811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2880072*22.\nAnswer: 63361584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - -1 - -2 - 2. Let n be x + (26 - 0\/(-2)). Suppose n = -2*g + 3*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0106353 to 4 decimal places.\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 68 = 2*z. Calculate the remainder when 49 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 66*f + 1213. Let x be k(-21). Which is smaller: x or 1069\/4?\nAnswer: 1069\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 1, 3\/2, -1 in decreasing order.\nAnswer: 3\/2, 1, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**3 - 39*p**2 + 160*p - 133. Let f(o) = -40*o**2 - 134 - o**3 + 1156*o - 996*o - 3*o**3. Let g(l) = -6*b(l) + 5*f(l). Factor g(w).\nAnswer: -2*(w - 8)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.3  (b) -43\/12  (c) 0.11  (d) -4  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/(-6)*(15 - ((-12285)\/(-30))\/21). Let v(o) = o**3 - 21*o**2 - 4*o + 7. Give v(l).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/6*-2)\/((-3)\/(-15)). Let x be 17 - (7\/7 - 0). Let o(p) = -1 + 0*p - 2*p - 5*p. Let q(c) = -22*c - 4. What is j*q(i) + x*o(i)?\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 4) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/18 + (-16)\/(-9). Suppose t*n - n + 316 = 0. Is (3\/(-6))\/(2\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2641 and -0.1.\nAnswer: 264.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7928 (base 10) to base 5.\nAnswer: -223203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3\/11, 0.7, -0.2, -23, -1\/6, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**2 + 19525*q - 39049*q + 19524*q + 3*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**3 - 18*t**2 - 7*t - 19. Let v(m) = 5*m**3 - 53*m**2 - 20*m - 56. Let z(p) = -8*s(p) + 3*v(p). What is the tens digit of z(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 4:57 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120 - -41) + -22 + 4 + 6?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 13 = -5*h. Let n(b) = -6*b - h + b**2 - 2 - 2*b**2. Suppose 0 = u - 3*u + 4*w - 26, -4*w = u - 11. Calculate n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rcccrccrrcrrr.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 71 + -129. Let b = y + 58.2. What is the third biggest value in 4, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2 - 8*c + 2. Give a(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27111 is divided by 912.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 3 + 0 + (-3 - 3 + 4)*(-4 - 3 + 4))*(1 - 2*d - 1).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 4*v**2 + 31*v + 1. Let j be g(-8). Suppose 2*x + 4*m = 40178, -60267 = -3*x - 10*m + j*m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 178439843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15475925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9760.246nm in millimeters?\nAnswer: 0.009760246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 10. Let l be a(-8). Let z = l + 5. Suppose -4*p = -y + 207997, -4*p - 207994 = -z*y + y. Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -81757\/3927 - -354\/17. Let i = -5311\/462 - x. What is the common denominator of (38\/3)\/((-4)\/(-5)) and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33011 = 428*p + 8933 for p.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 7:05 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 4864752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/3  (b) -0.1  (c) -3  (d) 0.2  (e) -2\/20993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10.2 - 0.062229.\nAnswer: 10.137771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -48, -97, -156, -219, -280, -333, -372?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1884004730?\nAnswer: 2, 5, 1559, 120847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/1 + (2 - 4). Let y(l) = l**4 + l**2 + l - 1. Let u(w) = -w**3 + w**2 + w - 1. Let f(s) = o*y(s) + u(s). Solve f(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 58  (b) 4  (c) 676  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1321 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 11*q**2 - 10*q - 2. Is 22 a factor of d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from kkhgtkckkckktkkcrr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzurtzg. What is prob of sequence zgr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000075776 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - -2*(-4 - -3). Let y(d) = d + 2. Suppose -22 = 3*o - 1. Let h be y(o). Sort 4, s, h in descending order.\nAnswer: 4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 25293  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/6 - (-11)\/(49203\/2586) and -10\/77?\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 3, 77432 in increasing order.\nAnswer: 3, 28, 77432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twwu when four letters picked without replacement from zzzsshthwwzwhwutt.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 93 - 58. Which is the third smallest value?  (a) -1  (b) -1\/5  (c) w  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + k**4 - 4 + 3*k**4 + 4*k**2 - 4*k**2 + (3 + k**2 - 3)*(-2 + 2*k**2 + 2) + 2*k**4 + 0*k**4 - k**4 to r*k**3 + m + s*k + p*k**2 + g*k**4 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, f: 5}. Give prob of picking 2 f.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c - b74c9b?\nAnswer: -b74c8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/145 and -28\/25.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/34*(-12)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {l: 3, a: 3, m: 1, z: 5, t: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 2\/5  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6*v = -2*j + 16, -5*j + 2*v + 16 = 0. Suppose -j*b - 260 = -12*b. Solve -5*c + 10 = 0, -2*q - b = -6*q - 3*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b3 (base 15) to base 6\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95 and 697473565?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -437 divided by 5.\nAnswer: -437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -66*u + 4356 - 4686 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 - 64 = -35*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 0*p - 8*p**2 - p - 2*p**2. Let k(y) = y - 2. Let v = 3 - 2. Let z be k(v). What is g(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 18*l - 51. Suppose x + x - 5*g - 8 = 0, x = l*g + 4. Solve 3*j + 28 = -x*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -1\/22, -5, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -45 - -2050106?\nAnswer: 2050041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f**4 - 2*f + 3*f**4 + 3*f**4 + 2*f**2 to r*f**2 + m + l*f**3 + s*f + p*f**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2334199828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-5)\/10)\/(2\/(-580)). Suppose -2*m - g + 34 = -5*o, -3*m = o - 12. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4596 and -19.72.\nAnswer: -90633.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/8918 and 53\/39.\nAnswer: 26754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 138*k**3*r**3 - 13460*k**3 + 337*r**3 + 4*r + 1371 wrt k?\nAnswer: 414*k**2*r**3 - 40380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*n - 13*n + 41*n - 16*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 30*x**2 - 64*x - 215. Give k(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - -7467296447?\nAnswer: 7467296461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-3))\/((-231)\/(-770))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-6 - -2) + -4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0833?  (a) 1  (b) -0.2  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8249064 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9184 and 164.\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/1320 and 49\/5225.\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 108 + -87. Suppose -27*n + 1086 = -l*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3705*k - 417. Let y(g) = 285*g - 31. Give 2*v(o) - 27*y(o).\nAnswer: -285*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1868, -1890, -1912, -1934?\n\"Answer: -22*p - 1846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 12:43 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 4:49 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-270))\/(((-84)\/27)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 262 + 392a?\nAnswer: 3b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7447 + 37397\/5. Let d = -556\/15 + y. Is d greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -320 - -110666?\nAnswer: 110346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**5\/60 + k**4\/6 + k**3 - 2*k**2. Let n be v(-4). Let u(i) = i**3 - 6*i**2 + 3. What is the units digit of u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mlj when three letters picked without replacement from xjjljxjjjxjljmjjxq?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*u - 2*d - 2*d, 4*d = 16. Suppose -2*a + 4*n = -a - 4, n = -u. Solve a = 2*i - h + 5, 2*i - 4*h - 8 = 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 30.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1072 divided by -16?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3\/4*i**2 - 3\/4 + 0*i = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - 265\/5)*-1. What is the greatest common divisor of 140 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 575, 593, 611, 629?\n\"Answer: 18*d + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8522 + 337848. Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 11. Let o be 9\/(1\/1)*15. Let z be (8\/42)\/(9\/(o\/10)). Which is the closest to 1?  (a) 2  (b) x  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402117409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 + r)*(-5 + 5 - 3*r) - 2*r - r**2 + 2*r)*(-10*r**2 - 20*r**2 + 5*r**2).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:12 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 499*g**3 - 118*g**3 - 377*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -48055.57964 plus 0.2?\nAnswer: -48055.37964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -315*v**2 + 198*v**2 + 426*v**2 + 270*v**2 + 427*v**2.\nAnswer: 1006*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 3150?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of -3*k**4\/8 + 77*k**3\/2 - k**2 - 11152*k. Give q(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2\/9 + 46*k\/3 + 1034\/9.\nAnswer: 2*(k + 11)*(2*k + 47)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 190, -1, -27, -5, 3 in ascending order.\nAnswer: -27, -5, -1, 3, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -11, -14, 9288 in decreasing order.\nAnswer: 9288, -1, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 52367, 52388, 52413, 52442, 52475, 52512?\n\"Answer: 2*w**2 + 15*w + 52350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -5 + 14 + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/172919 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 227, 244, 289, 374, 511, 712?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/4)*p**(-3\/4))**(3\/19) assuming p is positive.\nAnswer: p**(-3\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.08 - -0.106. Let y = 3.0045721 - 2.97857. Let g = o - y. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeieeiiieeeeeieieee. Give prob of picking 3 e.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-32)*(96\/3)\/(-8)*(-12)\/(-765)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 8:20 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -4. Suppose -g = -6*o + 5*o, -9 = 4*g - o. What is the second smallest value in j, g, -2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 4*s**2 + s + 2. Let v be g(-4). Let i = v + 17. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-13))**(32\/7) assuming s is positive.\nAnswer: s**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 8)*(-3*r**3 + 4*r**3 + 4*r**3 + (2*r**2 + 2 - 2)*(r + 0*r - 2*r)).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -363178713.74992192 + 363179069. Let b = m + -377.25008. Let j = b - -22. Round j to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 13526, 27054, 40586, 54122, 67662, 81206, 94754?\n\"Answer: 2*r**2 + 13522*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1395*f**2 + 1532*f**2 + 1 - 3 - 2*f as v + n*f**2 + s*f and give n.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115104, 1, -1 in decreasing order.\nAnswer: 1, -1, -115104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**5\/12 - 3*m**4\/8 + 75*m**2. Factor h(s).\nAnswer: -s*(5*s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2551466201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r**(-26))\/r)\/((r\/((r*((r\/(r*r\/((r**(-13\/3)\/r)\/r)*r)*r)\/r)\/r)\/r))\/r) assuming r is positive.\nAnswer: r**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -0.0105\nAnswer: -6.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18934?\nAnswer: 2, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**4 + 4*h**4 - h**4)*(-5 + 3 + 0) + (6*h - h - 3*h)*(256*h**2 - 245*h**2 - 4881*h**3 + 3837*h**3).\nAnswer: -2090*h**4 + 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -105838*t**2 + 105688*t + 150.\nAnswer: -2*(t - 1)*(52919*t + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 7*s**3 + 2*s**2 + s + 4. Let d be a(3). Suppose 5*y + 49 - d = 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7340 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27115448483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - 31bc?\nAnswer: -31b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 5*w - 14 = 0, 5*g - 49*w + 18 = -45*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3201806, -3201819, -3201832, -3201845, -3201858?\nAnswer: -3201871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 64868173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 7*c**2 - 4*c - 14. Let g(j) = -j**2 + 1. Suppose 0 + 3 = 3*n. Let v(u) = n*z(u) + 6*g(u). Determine v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 5*w**2 - 4*w - 2. Let s be d(6). Suppose -3*p + s = -2*p. Calculate the least common multiple of 22 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -127*j + 122*j - 745. Let d = 150 + j. Solve 2 = -3*q - 0*k + k, 0 = 2*q - k + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4853 or -4844?\nAnswer: -4844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -74.58 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/91)\/(((16\/(-2))\/(-24))\/((-35)\/(-30)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 3 + 0)*(2*c + c - 2*c) + (3*c + 6*c - 5*c)*(20 - 63 + 20))*(1 + 1 + 1)*(3*c - 3*c - 2*c).\nAnswer: 564*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m + 8*m - c = -3, 0 = -2*m + c - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -39\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -78*m**3 - 2*m + 489. Let j(r) = -r**2. Calculate k(j(b)).\nAnswer: -234*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1285*x - 1 + 1284*x + 2. Let y(a) = -4*a + 14. Give -6*h(r) + 2*y(r).\nAnswer: -2*r + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 0*g**2 + 0*g**4 - 56*g - 11 - 39\/5*g**5 + 0*g**3. Differentiate q(n) wrt n.\nAnswer: -156*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 208794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 91307*g**2 - 77*g + 0*g**3 - 91308*g**2 + g**3 to the form m*g**3 + l*g + w + x*g**2 and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -533*y + 532*y + 2*f = 7, -9 = 3*y - 2*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1477 - -1476.9. Which is the third smallest value?  (a) 2\/11  (b) r  (c) -1\/42  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {z: 4, o: 2, l: 2, a: 4, n: 4, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*w - 37*w = -492 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-18) + (-159)\/630. Let d = 2\/35 - k. What is the nearest to 0.1 in -0.1, d, -8, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -88519 - -124754. Which is greater: 36236 or v?\nAnswer: 36236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sa when two letters picked without replacement from wskkkmmmmaja?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 7\/5, 17, -64?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*d - 5 - 65. Suppose 11 = s + 2*a, 0 = s - 3*a - 2 + 6. Suppose 5*r = 2*f, 0 = -s*f + 2*r + 31 - 10. Is f at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 10*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4214 + 2416. List the prime factors of r.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -109 and -114 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 16 - -6 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = w - 10. Let q(c) be the first derivative of 4\/3*c**3 - 1\/4*c**4 + 7\/2*c**2 - 2 - 6*c. Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -151 - -116. What are the prime factors of 374\/(x\/(-42) - (-3)\/18)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(0 + 1) - -3. Suppose 8*g - 7*g - 4 = 0. Suppose y = g*k - 1830 + 242. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -627.7946 to one dp.\nAnswer: -627.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/6216666 and -101\/209346.\nAnswer: 142983318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*c = -47*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence be when two letters picked without replacement from bbceu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 54126 = -3*w, 2*m - 4*m = -5*w + 90207. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49159a (base 13) to base 8.\nAnswer: 6520756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -21, -12\/5, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*j - 2 = 9, -3*a - 7 = 4*j. Solve 9 = -a*w - 0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46173 is divided by 7692?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18008184 and 2993.\nAnswer: 1314597432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 14 = -12*u. Let s = 30 + -29.8. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27*30\/1215)\/((-63)\/324).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3026*r - 142225. What is m(47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*x + 22 + 4*x**2 - 36 + 14 - 5*x**2 + 17*x.\nAnswer: -x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15378035, -15378048, -15378065, -15378086, -15378111, -15378140?\nAnswer: -15378173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of -1*(9 + -168 + -11) and 935?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-200)\/(-15))\/((-4)\/(-6)). Solve -51*y + 46*y - h = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2 + 2 + 21*c. Let u(o) = 17*o - 7*o + 6*o - 26*o + 11*o. What is u(k(m))?\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from {l: 3, u: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -207.9 * 1\nAnswer: -207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 955 a factor of 554153075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-156)\/(-1274))\/(2\/(-14))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g + g + 2*g**3 - g**3 - 11*g**3.\nAnswer: -10*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.8234299nm?\nAnswer: 0.0000000008234299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7400, -63358, -215246, -511028, -998668, -1726130?\nAnswer: -2741378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/17, -1, -2, -3 in descending order.\nAnswer: 3, -1\/17, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 6186 - 6186 + 3*x + 10*x**2 in the form a*x + s + p*x**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 87 = -32. Let t(b) = 7*b**2 - 17. Let r(c) = 6*c**2 - c - 16. Let w(s) = 4*r(s) - 3*t(s). Calculate the remainder when w(5) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7}. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(98) + -3 - sqrt(98)) + ((sqrt(98) + 2)**2 - sqrt(98))*3 + (sqrt(98) + 5 + sqrt(98)*-2 - sqrt(98))**2 + 1 + (sqrt(98)*-3)**2.\nAnswer: -77*sqrt(2) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (256\/(-192))\/((-4)\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-2\/55))*b*b*b)\/(b*(b**(-20)\/b)\/b)*((b*b**(-10)\/b)\/b)\/(b**(-7\/4)\/b) assuming b is positive.\nAnswer: b**(3473\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 538829 and 2.\nAnswer: 1077658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1740*k**2 - 1740*k**2 + 1178*k**4)*(6 - 12 + 1).\nAnswer: -5890*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let d(p) = -17*p**3 + 2. Let y(i) = 714*i**3 - 85. Suppose -4*r + 2*r - 5*b = -16, 0 = 5*r + 2*b + 2. Determine r*y(a) - 85*d(a).\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1568\/13, -4, 3 in ascending order.\nAnswer: -1568\/13, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 7*h**2 - 23*h - 11. Let r be q(-9). Let v(i) = 16*i + 32*i - r*i. Let w(s) = -2*s**2. What is w(v(j))?\nAnswer: -392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/3584 and -91\/320?\nAnswer: 17920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-91)*14\/4. What is o in -8\/13*o + 6\/13*o**3 - 2\/13*o**5 + 0 + 8\/13*o**2 - h*o**4 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 18423, 18443, 18501, 18615, 18803, 19083, 19473?\n\"Answer: 3*g**3 + g**2 - 4*g + 18423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2420 + 4?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 375731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5166 - -1207. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/1563*(-7 + -2)\/(-81). Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23222 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5816*v**4 + 8667?\nAnswer: -23264*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-22*(-405)\/(-20790))\/(1\/(-3)*(-3)\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*r**3 - 758*r**2 + 20755*r wrt r?\nAnswer: 54*r - 1516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -219.44 - -219.04. Which is the biggest value?  (a) -4  (b) z  (c) -0.5  (d) 9.8  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 42 = -5*x, 0*x + 14 = l + 2*x. Let i = l - 20. Suppose i*v = -4*q + 33 + 39, 0 = q + 4*v - 11. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -1.6, -2\/5, -9\/4, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -110*g + 51. Let s(y) = 28*y - 13. Let o(c) = 6*m(c) + 22*s(c). What is the derivative of o(w) wrt w?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/29145 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 4*y + 3. Suppose -51 = -11*c + 15. Let z be j(c). Solve 4*g + g = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18585*q**2 + 1 - 1 + 18586*q**2 + 18764*q**2 - 55937*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 290 and 5870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 4*h, 0 = -5*c - 3*h + 7*h + 64. Let t(r) = c*r - 62*r + 18*r + 18*r. Let a(n) = -18*n. What is a(t(l))?\nAnswer: 180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37\/24 - -5\/3. Let q = 33 + 1. Let d = q - 33.5. Which is the nearest to -2?  (a) p  (b) 1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/306 and 181\/3960?\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*n = 69*f + 64*f - 131*f - 128*n + 26, -2*f - 42 = 3*n for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-91)\/(-28) + -2)\/(37\/(-36) - (-1)\/9)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -117, -241, -433, -705, -1069?\nAnswer: -1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 57550 or 57416?\nAnswer: 57416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 414256 - 224429. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 585 a factor of 15335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1125 * -1.05\nAnswer: -1181.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 635\/1898 + -7\/5694. Factor i + 1\/3*f - 1\/3*f**3 - 1\/3*f**2.\nAnswer: -(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 230145*a**5 - 125169*a.\nAnswer: 4602900*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 4:27 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 310804*v**4 - 6*v - 6320.\nAnswer: 3729648*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (1 - 1)*5\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -81 + -1 - (-6 - (-8 + -4) - 8)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 0*j. Suppose -2*w = -3*i + 1, -3*w - 5 = -3*i - 2. Let p be -4*(-2)\/(i + 3). Solve j*h - h = -2*t - 10, -28 = -4*h + p*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-80)\/16)\/((-20)\/396). Solve l = -2*m + 101 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4\/1)\/(44\/165)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115 = -3*x - 5*n, -8*n + 179 - 372 = 5*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*v - 267922 = -239725 for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (20114\/(-1530) - 2408\/2709)?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -cd45c?\nAnswer: cd45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4379236*a**2*u**3 - 17*a**2*u - a*u**2 + 112143*a - u**5 + 2*u**2 - 2 wrt u.\nAnswer: 26275416*a**2 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.987104 centuries in millennia?\nAnswer: 0.4987104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -86*g**3 + 133*g**3 - 2*g**2 - 92*g**3 + (2 - 2 - 2*g)*(-3*g**2 + g**2 + g**2).\nAnswer: -43*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 2*i + 16, 66*k = 61*k + i - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h\/(h\/((h\/(h**20\/h))\/h)*h))\/h*h**4*h assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/5346 and -173\/4914.\nAnswer: 486486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/4 + 28798693*b + 829364718508249.\nAnswer: (b + 57597386)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 71, -1, -2, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 3*f + 2. Does 15 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12900?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020 divided by -5?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 41987 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**2 + 6. Let o(z) = -3*z**2 - 100*z - 612. Let i be o(-8). Give n(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 265*j**5 - 2 + 3612*j**3 - 3612*j**3 + (-j**5 + 0*j**5 + 5*j**5)*(-4 - 1 + 3).\nAnswer: 257*j**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-15)*((-6390)\/189)\/71.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = j + 4*p - 30, 5*j = 2*p - 39. Which is the second smallest value?  (a) 127  (b) -2\/9  (c) 0.3  (d) j  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -128140 and 240 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1)**13*p*p**7\/p*p**(1\/6) assuming p is positive.\nAnswer: p**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -0.2, 1\/9, -1, -2\/717, 61, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 3 + -1 + (-92 + 154 - 78)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -79 - -76. Let y be 6 - (5 + (i - -2)). Solve -4*j = 4*s - 4, y = -3*j - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -18*(-3 + 8\/3). Suppose -10*m = -v*m - 1008. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -6*a + 0*a + 5*a - a - 7. Let m be g(-5). Suppose 897 = -y + k - 22, m*y + 2759 = k. Round y to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -91, -120, -173, -262, -399, -596?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**5 - 96*v**4 + 80*v**3 + 280*v**2 - 84*v - 184 = 0. What is v?\nAnswer: -1, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.026139 and 0.06.\nAnswer: 0.033861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 729037.\nAnswer: 729037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -555 - -558. Calculate the highest common factor of 30 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-11)\/12 - (-2)\/8. Let b be 10 - ((-245)\/(-14) + -8). Let q = 31 - 35. What is the third smallest value in c, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 79127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 + 61. Suppose 0 = 16*i - y*i + 10. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 125*t**6 - 72*t**2 - 480*t**2 - 611*t**2 - 72*t**6 + 2*t**4 + 169*t**6 wrt t?\nAnswer: 26640*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 1674*q - 112160. Calculate h(67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 349219  (b) -3  (c) -2  (d) -5  (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k + 2. Let w be (-1 - 2)\/((-9)\/(-6)). Give i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -64*((-4)\/(-10) + 2\/20). Let k = p + 47. List the prime factors of (-8112)\/(-80) + (-2)\/k*3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2529000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 184460768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (15*3\/(-15))\/(3\/(-2)). Let o(t) be the second derivative of b*t**2 + 0 + 0*t**3 - 1\/3*t**4 + 27*t. Find q, given that o(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.108, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -8*m**3 - m**2 + m - 4. Let z be u(2). Let f = -164 - -280. Let x = z + f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - 1c8?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**2 - q**2 + 2*q**2 + (0*q - 2 + 0 + 2*q)*(-q + q + 2*q).\nAnswer: 3*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwop when four letters picked without replacement from prrrwprmrwrriwoow.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 69 - -b41?\nAnswer: baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59351486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 3 - 0. Calculate the common denominator of 310\/(-20) + m + 1 and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75124?\nAnswer: 2, 7, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 38*z**2 + 5*z + 66. Let p be n(15). Is p\/(-2)*(-16)\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, o: 2, r: 1, s: 4, d: 1, z: 4}. What is prob of sequence jj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -32*q**2 - 1755*q + 175. Give d(-55).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8\/601 - 15169\/10818. Calculate the common denominator of t and 127\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239430899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3585894 and 4030?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*g**3 + 1 + 2*g**3 + 12*g**3 to the form v*g + o*g**2 + y*g**3 + n and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -17. Suppose 0 = o*x + 2*x - 456. What is the greatest common factor of 114 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - sqrt(68)\/sqrt(4))*3 + -1)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of 7*o**6\/120 + o**5\/10 - 5*o**4\/8 + 13*o**3\/6 - 2*o**2. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172306934.\nAnswer: 2, 17, 19, 43, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 940 and 229595.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**4 + 1248*h**3 + 81216*h**2 - 2515968*h + 16257024.\nAnswer: 4*(h - 12)**2*(h + 168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 10*d**2 - 27*d - 514. What is the hundreds digit of r(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(560)*-2*3 + sqrt(560) - sqrt(560)) + sqrt(560) - sqrt(560))\/(sqrt(30)\/sqrt(12)))\/(sqrt(88)\/(sqrt(11)*-2)*3*5).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-4\/3)*r\/(r*(r**(-4)*r)\/r))**(-4) assuming r is positive.\nAnswer: r**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l**4\/4 + 417*l**3\/4 + 9729*l**2\/2 + 77763*l + 73002 = 0. Calculate l.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -100*o + 111*o - 1100. Calculate the lowest common multiple of 330 and o.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 - 46. Let o(p) = 3*p + 1. What is the least common multiple of o(2) and (w + 12\/30)*20\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((40950\/(-189))\/130 - 7\/(-3))\/((-4)\/138)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 102.2478 - -17.6.\nAnswer: 119.8478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 5*x**2 + 5*x - 2. Let s(u) = u**3 + 5*u**2 + 4*u - 2. Let w(l) = -4*c(l) + 5*s(l). What is the remainder when w(-4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.35, -0.3, 5\/3, -81, 4\/3 in descending order.\nAnswer: 5\/3, 1.35, 4\/3, -0.3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 14*a**2 + 34*a - 7. Let p(v) = -v**3 - 14*v**2 + 13*v - 14. Let h be p(-15). Let w be m(h). Solve 2*l - 7*l = -w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64410 or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 623 + 12*t**2 - 250*t**2 - 736 wrt t?\nAnswer: -476*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 + 52*f - 255. What is q(47)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (18\/15)\/((-4)\/(-10)). Let h(a) = a + 8 + 0*a - b. Determine h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(3\/7)*i)**(-36))**(-8\/13) assuming i is positive.\nAnswer: i**(2880\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of k**2\/2 + 3*k + 7. Suppose -6 = -2*y - 18. Let u be a(y). Is u less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 - 132. Suppose -5*i = 5*x - 70, l = 4*i + 2*x - 51. Calculate the remainder when 142 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -602*v + 41*v**2 - v**3 + 31*v**2 - 3 + 1194*v - 590*v in the form s + q*v**2 + y*v**3 + n*v and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 - -161322?\nAnswer: 161343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-227)\/7 + 36\/84)\/(-2). Suppose -12*v - 336 = -b*v. Calculate the highest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37 + 57. Suppose 24 - 6 = -2*n. Let p(b) = -b**3 - 9*b**2 - 8*b - 13. What is the remainder when p(n) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1010*a**4 + 2*a**3 - 1012*a**4 - 1 - a**3 + 471*a)*(2 - a - 2).\nAnswer: 2*a**5 - a**4 - 471*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f - f**3 + 3*f + 138*f**2 + 0*f**3 + 2*f**3 as q*f + h + n*f**3 + r*f**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = f - 5*w + 15, 2*w = 4*f + 18. Let d be (-1)\/f - 7\/3. Let y = 216969 - 216969. Sort 2, d, -1\/7, y in descending order.\nAnswer: 2, y, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1927 and 12874.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1919)\/(-9) - 8\/36. Suppose 5*z = -j + b, z - 41 - 16 = -5*j. Suppose -4*i = -z - 70. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/780 + -17*14\/(-4760)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1213177?\nAnswer: 7, 71, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 104*c - 84*c + 180 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13132111233 + -3?\nAnswer: 13132111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1064595.8656 rounded to the nearest 100?\nAnswer: -1064600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1378804 - -1.225\nAnswer: -1378802.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18560666 to the nearest integer?\nAnswer: 4308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -145*m + 3. Let r be (-8)\/6 - (-406)\/(-42). Let n(q) = -q**3 - 9*q**2 + 23*q + 4. Let i be n(r). Is b(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*s + 246 - 86. Calculate the least common multiple of 2 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 524 = s + 522, y = 27*s - 54 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 129*16\/36*33. Suppose 2*l = 3*y - 5675, 2*y - 5*l = 1873 + u. What are the prime factors of y?\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from scllccshlhlcl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-3))\/((-56)\/1008)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 287\/5 + -2 + (-24)\/60. What is the greatest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.1, -4, -5, 17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1 = -5*f, f + 2 = 3. Suppose -3*a - 4*p = -13, 6 - 16 = -i*a - 3*p. Let h be a*(-3 - (3 - 1)). Sort -1, 0, h in descending order.\nAnswer: h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65648 or 4\/17?\nAnswer: -65648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away 25906.5162745?\nAnswer: -25903.5162745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 2:23 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wpwpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 7, -9, 0, 59, -3 in descending order.\nAnswer: 59, 7, 0, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(3 + 12\/(-3)). Let p(z) = 9*z**2 + 1. Let n be p(v). Solve -w - w - n = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(228)\/(-3*sqrt(972)) - -1*(3*sqrt(1216) - sqrt(19)))*-6)**2*-4.\nAnswer: 233715200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + 7. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 271517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 926742 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 42209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2350*z + 623. List the prime factors of c(12).\nAnswer: 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 94*o**2\/3 + 1565938*o\/3 + 999420 = 0.\nAnswer: -16657, -90\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 627, 657, 683, 705?\n\"Answer: -2*k**2 + 36*k + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**3\/6 - x - 5. Let i(o) = o - 3*o**2 - o. Give i(m(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express o - 5*o + 2*o - 6*o + 6*o + 4*o + o + o + 0*o + (1 - 1 + 2*o)*(-3 + 1 + 3) + 3 - o - 3 + (5 - 2 - 2)*(o + 5*o - 4*o) in the form z*o + r and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 377893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + (-2)\/4*62\/(-1). Which is smaller: 107\/4 or u?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 + -18. Suppose 3*n + 448 = t*n. What is the remainder when 31 is divided by (n\/35)\/(1\/5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75464*s**3 - 75463*s**3 + 7*s - 25*s.\nAnswer: s**3 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w - 2. Let c be 7\/(-3) - (-4)\/(-6). Suppose -2*i + i - 2 = 0. Let p(s) = -568 + 287 + 282 + 2*s - 3*s. Give c*p(n) + i*y(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7995 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 + 15. Suppose c*t = 3*t - 15. Solve -t*b = 4*g - g + 40, b = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.11 + 1.41. Put 2\/3, r, 2\/7, 0 in descending order.\nAnswer: 2\/3, r, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 754607708 to the nearest integer?\nAnswer: 27470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**2 - 2 + 346*u + 1051*u - 422*u as j + s*u + q*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-7))\/(t**(1\/7)\/t))**21 assuming t is positive.\nAnswer: t**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3530*w = -402*w + 120182 + 276950 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 36 = -b. Let a = 15 + -6. What is the smallest common multiple of (-92)\/(-9) + 8\/b and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - m + 4. Suppose -z + 2 = 0, 3*z = 3*h + 3 + 3. What is p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**3\/5 - 17157*g**2\/5 - 89115*g - 2895139\/5 = 0.\nAnswer: -17131, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**6\/24 - p**5\/20 + p**4\/2 + p**3\/2 + 3*p**2 + 6. What is the tens digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.03, 0.1, 52, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2507 - 2505. Let f(i) be the second derivative of -4*i + 0 + 1\/27*i**3 - 1\/54*i**4 - 1\/90*i**5 + 1\/9*i**t. Determine b so that f(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4*r - 612, -2*r = a - 5*a + 612. Suppose -20*t + 4 = -336. Calculate the highest common factor of a and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 divided by 42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.12 and 11620.\nAnswer: 1394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/((1 - 1) + 1). Suppose -u*a = -a - 32. Let v = 192 - 184. Calculate the lowest common multiple of a and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -16*y**2. Let a(l) = 6*l - 12. Give t(a(o)).\nAnswer: -576*o**2 + 2304*o - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/50)\/(2\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2379 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*j**2 + 31442310*j + 12576920.\nAnswer: 5*(j + 1257692)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3745 divided by -5\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021571852 plus -0.2?\nAnswer: -0.178428148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.5, -1\/6, -115\/1348, -5 in ascending order.\nAnswer: -5, -1, -1\/6, -115\/1348, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 56 = -140. Let t = f - 2. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 34514905 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 11:17 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0348673 times 1.9?\nAnswer: 0.06624787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23 or 3931?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 157 - (-2 + -37 + (565 - 490)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*h**2 - 27*h**2 - 16*h**2 - 16*h**2.\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -55*f + 50. Let a be t(8). What is the smallest common multiple of (6\/(-4))\/(39\/a) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -743?\nAnswer: -371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, -5.2 in descending order.\nAnswer: 6, -4, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -354443001 (base 6) to base 9.\nAnswer: -13473601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -1, -110.\nAnswer: -110, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 378898 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*h - p = -14*h + 10, 3*h - 20 = -p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*p = -28*p - 210. Let d be 49\/14*8\/7. Which is the closest to 2?  (a) -4\/5  (b) d  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 5*m**2 - m. Determine l(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/25  (b) -0.4  (c) -4  (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -6109 less than or equal to -6111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14139126 + 14139113.200194. Let t = -12.8 - z. What is t rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 940232701\/24 + -39169490. Let g = s + -6871. Calculate the common denominator of 2\/7 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 6:36 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 390412*c + 19052691218.\nAnswer: 2*(c + 97603)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 187 - 67 = 0. Suppose -146*w + m = -147*w. Is w greater than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*a = -73*a + 42505. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, i: 1, g: 2}. What is prob of sequence gg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*n**3 - 7*n**3 + 4*n**3 + (-3 + 3 + n)*(-2 + 2*n**2 + 2).\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.2 + 5.2. Let d = 10.99 + -11. What is the biggest value in d, m, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4774034 is divided by 397836.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109519.5 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from hwkrb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 2 - (0 - (4 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/3 + 2600*t\/3 - 10432\/3.\nAnswer: 2*(t - 4)*(t + 1304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1830338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25826 + 25829. Put -5, u, -41, -1, -4 in ascending order.\nAnswer: -41, -5, -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d**3 + 4*d**2. Let o(y) = y**3 + y**2 + 1. Let x(r) = 5*r**3 + 3*r**2 + 4. Let t(a) = -4*o(a) + x(a). Give -k(h) - 5*t(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4117 - -6111. Suppose -1048 = -3*u - 5*p + 928, -3*u + o = -4*p. What are the prime factors of u?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16397006201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12426, -12409, -12392?\n\"Answer: 17*b - 12443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 620 - 625. Sort -1, c, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11947.\nAnswer: 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((-13)\/(-26)*(-4)\/22). Let s be 40\/22 - (27\/u + -1). Let o = -0.17 + 0.27. Which is the third smallest value?  (a) o  (b) -2  (c) -2\/21  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 3*x**3 - 104*x**2 + 4 + 11*x**3 + 10*x**3 - 20*x**3 to the form m*x + t + j*x**3 + i*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 78  (b) -0.016  (c) 0.5  (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s*(s\/((((s*s**(-2\/9)*s*s)\/s)\/s*s*s*s)\/s))\/s*s*s)\/s)\/s*s\/((s\/s**(1\/6))\/s)*s)**(-1\/72))**(-1\/29) assuming s is positive.\nAnswer: s**(25\/37584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26731692443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116743895?\nAnswer: 5, 53, 440543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ce (base 15) in base 2?\nAnswer: -110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-1025)\/15 + 1)\/(10696\/(-168) - -63)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + i**2 + i + 1. Let o(u) = u**3 + 44*u**2 - 2*u - 2. Calculate o(k) + 2*p(k).\nAnswer: -k**3 + 46*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 111, 1.87, 2?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -33646929 and 1?\nAnswer: 33646930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2587432 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 9*u**2 + 1. Let d be t(-9). What are the prime factors of d\/(28\/26 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2746436 and 814.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**3 - 11*g**2 - 21*g - 41. Let k be j(-3). Let w = -2 + 1. Let n = 0 + w. Which is the smallest value?  (a) -2\/3  (b) k  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (14 + -21)*1)\/(10\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 41, 24, 7, -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 57 = 5*v, -2*v + 8*n + 6 = 38 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q - 10*z - 10, -884 + 887 = -2*z - z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -17. Let k = 2 - 1.6. Which is the nearest to 2\/7?  (a) d  (b) 4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) - (sqrt(176) + 1)*5)**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 11. Suppose -3*x = n*h - 2 + 1, -5*h + 25 = -5*x. Let a(y) = 1 - h*y**2 - 1. Let l(q) = -q. Determine a(l(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-649)\/(-364) + (-156)\/338 and -5\/256.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 4:28 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, b: 4}. Give prob of picking 2 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 5 - 31 - 24*o - 18 - 7*o. Let u be w(-29). Let j(i) = -i**2 + 6*i. Let h be j(6). Solve -u*m + m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -2. Suppose -o*s - 3 + 18 = 0, -201 = -3*k - 4*s. Suppose -4*l + 113 = -k. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 35 + -40)\/(-3 - (-4)\/4) + -47?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - t**2 + 5*t - 7. Let d be j(-6). Calculate the highest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.11 + 4.11. Let h be 0*(-1)\/2 + -4. Let p be h\/8*2\/2. What is the nearest to p in -0.1, j, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z + 5*k = 130, 187617 = -5*z + 2*k + 187552 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021202121011 (base 3) in base 2?\nAnswer: -100101000110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4098 and 493728406?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**6 - 7539097*g**3 + 250032796*g**2 wrt g?\nAnswer: -360*g**3 - 45234582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, l: 6, f: 4}. Give prob of picking 2 z and 2 f.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2025\/(10 - -17) - 49?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 - (-21 + 23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 53 = -3*t, 4*d - 31 - 13 = -3*t. Calculate the remainder when 61 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6431566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 + -16. Suppose -z + 5 = 0, -25 = -5*x + 4*z + z. Calculate the smallest common multiple of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -433*r = -212*r - 209*r. Factor r - 4\/19*c**2 - 2\/19*c**3 + 0*c.\nAnswer: -2*c**2*(c + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -3.3 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 125 and 25?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.54 from -1151.\nAnswer: -1151.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7922848 divided by -990356\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -392814\/11 or -35711?\nAnswer: -392814\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s**4\/4 + 6*s**3 + 9*s**2\/4 - 33*s\/2 - 12 = 0 for s.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 - 61388*r**2 + 1287384*r.\nAnswer: 4*r*(r - 15326)*(r - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*c*q**3*z**2 - 2*c*q*z - 1347*c*z**3 - c*z - q**3*z**5 + 14*q**3 wrt z.\nAnswer: -8082*c - 60*q**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1 + sqrt(245) + 4)**2.\nAnswer: 70*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52 - 49. What is the hundreds digit of 325\/w - 7\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2\/2 - 21*m\/2 + 98 = 0. Calculate m.\nAnswer: -28, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 2488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53608919?\nAnswer: 7, 13, 589109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1277, 1784, 2291, 2798, 3305, 3812?\n\"Answer: 507*u + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p + 4*p - 4*p + 211*p**2 as v*p**2 + h*p + t and give v.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -5*m - 2*p - 935, -2*p + 919 = 3*m. Suppose -m = 5*w - 309. Which is smaller: w or 1\/24?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-9)*-6 + 315 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**2\/2 - w - 3. Let x(r) be the second derivative of -r**5\/20 + r**3\/3 - r**2\/2 + r. What is -3*n(z) + 2*x(z)?\nAnswer: -2*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1 + sqrt(272) + -3 + 5)*1 + (sqrt(272) + 4*(sqrt(272) + -3) - (-1 + sqrt(272) + 1)))**2.\nAnswer: -480*sqrt(17) + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 16*m**2 + 76*m - 18. Determine x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -16*v**4 + 4*v**2 - 19. Let c(o) = o**4 - o**2 + 1. Let w(i) = -4*c(i) - m(i). Differentiate w(x) wrt x.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83557.\nAnswer: 83557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 235.827 times 27?\nAnswer: 6367.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12 * -4957\nAnswer: -59484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 671079806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y**3 - 3. Let w be l(2). Suppose 2*x - 6 - 4 = 0. What is the highest common factor of x and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*-15*(-26)\/(-7020).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 26  (b) -5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*z = 25*z - 160. Let q = -28 - z. Let w(g) = -g - 3. Give w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/2))**(22\/5))**(-18) assuming b is positive.\nAnswer: b**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 + 249522507 - 249522507.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 6. Let b be ((-8)\/a)\/((-3)\/(-9)). Solve b*o = 3*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, l: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2222.046 + -2222. Is i < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -4 - (3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 10) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -26.19 times -9\nAnswer: 235.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*w - 103*w = -136338. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (11 - 14) - -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - 18.3. Which is the third biggest value?  (a) g  (b) 1\/2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-i + 0*i + 0*i)*(-3 - 3 + 4) - 4*i + 4*i + i)*(i + 2*i - 4*i + (-3 + i + 3)*(-4 - 2 + 5) + 3*i - 3*i - 3*i) in the form t*i + z*i**2 + h and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2d2 - 5?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.128423t to nanograms.\nAnswer: 128423000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 20*z**3. Let i be u(1). Let a be (i\/2)\/(4\/2). Let t = -39 + 43. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 26, 68, 148, 278, 470, 736, 1088?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -130904*q**2 + 25118*q?\nAnswer: -261808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 5*q**2 - 8*q - 16. Let n be m(8). Let t be (3150\/n)\/(9\/2220)*-480. Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1385*s**2 - 2777*s**2 + 1396*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 70*g - 46. What is h(0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express q**3 - q**3 + 2*q**3 + (5*q - 4*q - 3*q)*(-7*q**2 - 2*q**2 + 4*q**2) in the form a*q + x*q**2 + f + b*q**3 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -5*i + 11. Give y(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 215 + 301 + 508*n**2 + 496 wrt n?\nAnswer: 1016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270441 is divided by 186.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 697769815 to the power of 1\/2, to the nearest integer?\nAnswer: 26415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*n**3 + 70*n**3 + 74*n**3 - 215*n**3 - 3*n + 3*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 14453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 15*h - 18. Let x be y(-14). Let d(o) = 17*o**2 + o + 5. Let n(a) = 7*a**2 + a + 2. Let v(s) = 2*d(s) - 5*n(s). Determine v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -220, -362, -510, -664, -824?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 8:59 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 2:22 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56 + -92. Which is greater: -35 or f?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 52*i**3*j*x**2 + 2*i**3*x**2 + 2*i*j*x**2 + 7*j*x - 376*x**2 wrt j.\nAnswer: 52*i**3*x**2 + 2*i*x**2 + 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34433 is divided by 358?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 409*c - 65840. Calculate y(161).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 + 34. Suppose -2*t = -5*f - 81, 5*f + 160 = b*t + 31. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -36222975*y. Let x(t) = -t. Give x(c(f)).\nAnswer: 36222975*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b - -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17440.93 rounded to the nearest ten?\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34107271 - 21487271. Round k to the nearest one hundred thousand.\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*27\/(-168)*140\/120.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 3735 = -2304. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -3\/4*t**4 + 125 + 2*t - 2\/3*t**3 + t**2. Let a(p) = 7*p**3 + 5*p**2 - 4*p - 4. Give 2*a(l) + 5*m(l).\nAnswer: -l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-16)*1 + 492\/32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 10:50 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2936 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0*d - 12 = 4*r, 2*d = -5*r - 16. Suppose d*w + 235 = -3*w. Let n = w + 87. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1176 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(112) + (sqrt(112) - -2*(sqrt(112) + 4))))**2 + (4*sqrt(112) + 1)**2*6)*-6.\nAnswer: -342948 - 39552*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8\/9 - 92\/63. Which is smaller: 1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/4210 and -17\/22.\nAnswer: 46310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -394 + 716. Suppose -a = -7*o - 56. Calculate the highest common divisor of 418 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -5110121?\nAnswer: 5110125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 19 = -4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -4*x**3 + 512*x**2 + 78988*x + 2170504 = 0?\nAnswer: -49, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 736 and 768016?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222010224 (base 5) to base 11.\nAnswer: 602399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 5*m + 62. Let w be q(5). Suppose -w*t + 2026 = -6962. What are the prime factors of t?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of 0 + 33*o**2 + 0*o + 0*o**3 - 13\/24*o**4 + 0*o**5 - 13\/60*o**6. What is the second derivative of y(i) wrt i?\nAnswer: -156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 202*l**3 - 11*l - 5. Let v be u(-5). What is v rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.34 + 7.34. Which is the third biggest value?  (a) k  (b) 0.3  (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x - 9 = 18*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ca2 - 3?\nAnswer: c9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 7*z**2 + 8*z - 57. Let x be u(7). Let r(d) = -2*d - 10. Let q be r(-7). Sort -5, q, x, 1 in descending order.\nAnswer: q, 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 118, 132, 2 in descending order.\nAnswer: 132, 118, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 2\/185, 0.68, 1\/7?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -10*t**2 - t - 4. Let p(x) be the first derivative of -13*x**3 - 2*x**2 - 17*x - 2178. Give 9*m(r) - 2*p(r).\nAnswer: -12*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 1:14 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -3, -207 in descending order.\nAnswer: -2\/17, -3, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 20 = -z, 0*z - 2*z = -k + 4. Let g = 8 + z. Suppose 3*d + 3*t + g = 7*t, -5*d - 16 = -2*t. Sort -5, 19, d in decreasing order.\nAnswer: 19, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - x**2 + 3906 + 5*x**2 - 6*x**2.\nAnswer: -2*x**2 - 2*x + 3906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8648?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 11 = -3*g, 3 - 45 = -2*w + 4*g. Calculate the remainder when 28 is divided by (-1 + -2)*w\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(91) + 3*sqrt(91)) + (2*(sqrt(91)*-1 - sqrt(91)) - sqrt(91)))\/(-3*sqrt(7)*-2 - -4*1*sqrt(7)))**2.\nAnswer: 4693\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 + 3*a. Let b be n(-4). Let v(h) be the third derivative of h**6\/120 - h**5\/30 - h**4\/24 - h**3\/3 + h**2. Does 26 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.22266 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12707557 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**5\/3 + 27*l**4\/4 + 25*l**3\/2 - 59*l**2. Let t(i) be the first derivative of g(i). Differentiate t(r) wrt r.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 0*f**2 + 9*f**2 + (2 + f - 2)*(2*f - f - 2*f) + (0*f + 2*f + 0*f)*(f - 2*f + 4*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4226.4 rounded to the nearest 10?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*q + 814 + 138 = 0. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 150*k**5 + 59*k + 102*k + 107*k + 63*k wrt k.\nAnswer: 3000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = n + 3*z - 3, 2*n - 24 = -2*z. Suppose 0 = 30*b - n*b - 24262. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 20 = -5*g, -2*i - 2*g + 16 = -0*g. Suppose o - 3*o = 2. Put 1, i, o in decreasing order.\nAnswer: i, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -121769\nAnswer: 365307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*t**2 + 2 - 2*t + 51*t**2 - 26*t**2 to j*t + l*t**2 + w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**8\/x)**(-7\/9) assuming x is positive.\nAnswer: x**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 97*n - 2 + 11*n**2 - 98*n to the form k*n + s + m*n**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c = -5*k + 50, 4*c + 7*k - 12*k = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*(r\/(r\/(r*r**(1\/4)*r*r)*r*r*r*r))\/r)*r)**(-4\/43)\/(r\/(r*r**(-3)*r)*r\/(r\/(r**(-3)*r*r)))*(r**(2\/11)\/(r**1\/r))**(-40) assuming r is positive.\nAnswer: r**(-4034\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54087.5 - 54088. Let n = -3 - -8. Which is greater: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 50*o**2 - 428*o + 7. What is the hundreds digit of g(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 14*u - 270 = 0. Let s = -23 + u. Suppose 5*f - 1488 = -s*f. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v. Let f be (-24)\/4*(-2)\/4. Let i(l) be the first derivative of 0*l**3 - 3*l**3 + f + 2*l**3. What is p(i(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 2:04 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 12, x - 3*l - 15 = -4*l. Does 11 divide x\/38 + 107\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*((-9)\/(-102))\/((-214)\/(-1284)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -994266 divided by -819\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10016758 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(-4) + 54\/(-6) + 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {f: 1, m: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 4. Suppose -4*s = -0*s - 3*y - 15, 0 = 2*s - 4*y - 10. Suppose 0 = s*d - a*d - 21. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31627?\nAnswer: 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 105.5036 to one decimal place.\nAnswer: 105.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g + 3. Let y(w) = 9*w**2 - 2*w - 7. Calculate i(y(q)).\nAnswer: -27*q**2 + 6*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 10:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = -17*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-3*sqrt(1296)*2*2)\/(-4*sqrt(192)*2*-3))**2.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-444)\/14 + 4\/(-14). Calculate the common denominator of (-61)\/6 - (1 + -7 + 6) and -1*(-34)\/q*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -569827 (base 11) to base 7.\nAnswer: -10462424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12 + -1ac?\nAnswer: -1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*-25*13\/(-325). Let y(x) be the third derivative of 0 + 0*x**3 - 5*x**a - 1\/6*x**4 + 0*x. What is y(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*f - 12*f = 71306 - 212282. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17.28 + -10.21. Let a = 7.05 - b. What is the third biggest value in -5, a, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 628600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2442013 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-106)\/265*(-1)\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -17206.995 times -0.2\nAnswer: 3441.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -38*r**3 + 5*r + 5. Let b(t) = 57*t**3 - 8*t - 8. Give 5*b(j) + 8*q(j).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.667 take away -0.955091?\nAnswer: -4.711909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -21*s**6\/10 - 89*s**2\/2 + 116*s. Differentiate y(p) with respect to p.\nAnswer: -252*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/71 - 136\/213. Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, p: 7, e: 3, i: 3, h: 5}. What is prob of sequence ithe?\nAnswer: 5\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1312226.16 hours?\nAnswer: 7810.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - 64\/(-28). Suppose 0 = r*l - 2*p - 144, 4*l = 2*p + p + 293. Suppose -2*c = -7*c + 35. Calculate the highest common divisor of c and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-192)\/(-720))\/(6*1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*r - 151*r + 2080 = 0. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196450?\nAnswer: 2, 5, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005926 to 4 dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 - 1077*y**2 - 60558*y - 323928.\nAnswer: 3*(y - 409)*(y + 6)*(y + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (1132 - 2309 + 4544)*(0*u**4 + 0*u**4 + 3*u**4) in the form o + b*u**4 + t*u + w*u**3 + s*u**2 and give b.\nAnswer: 10101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 10:36 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 4813*m**5\/60 - 455*m**4\/4 + m**3\/6 - 346*m**2 + 3. Find the second derivative of b(v) wrt v.\nAnswer: 9626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 5*n - 9, -3547*o = -3553*o + 4*n - 84 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -36*k + 1540. What is the units digit of w(39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44866156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 629512, 629537, 629600, 629719, 629912?\nAnswer: 630197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1111303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 937943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1) + 5 - (98 - 89) - 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3 - 54*d + 10 - 16*d - 15.\nAnswer: -70*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3096193 hours in seconds?\nAnswer: 1114.62948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 308 - 11. Let c = 296.9997851 - i. What is c rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2002001 (base 3) to base 16\nAnswer: -5e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0964855009 - 7.\nAnswer: -6.9035144991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 5*t + 2. Let d be f(-6). Let v be (2 - (-1 + 2)) + 1. Put -2, d, v in descending order.\nAnswer: v, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 59818607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -88*m**3 - 3*m**2 + 6*m - 15. Let w(i) = 87*i**3 + 4*i**2 - 7*i + 18. What is -6*v(t) - 5*w(t)?\nAnswer: 93*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 92477422 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 1342*o - 55. Is z(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18253 less than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = w + 3*t, -2*w = -5*t + 4 + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttypcmyip. What is prob of picking 1 m, 1 i, and 1 c?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -f8?\nAnswer: -f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/141424 and -67\/176780.\nAnswer: 707120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 15. Let y(k) = 7*k - 9. Let f(c) = 3*c - 4. Calculate s*f(x) - 4*y(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 2*h + 5. Let z be 2*3\/((-9)\/6). Let p be o(z). Let w(l) be the third derivative of l**6\/120 + l**5\/20 + l**3\/3 + l**2. What is w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2213899 - 9*z**2 + 2213906 + 2213900 + 3*z - 6641705.\nAnswer: -9*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -190832, -379500, -568170, -756842, -945516?\n\"Answer: -z**2 - 188665*z - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u - 2*u = -4*s + 8*u - 4, 0 = -5*u + 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 14*h + 5. Let r(v) be the third derivative of 77*v**4\/24 + 14*v**3\/3 + 4*v**2 - 125*v. What is 28*p(f) - 5*r(f)?\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -914370 divided by 60958\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -7*n + 45. Let b(q) = -2*q + 11. Give -9*b(z) + 2*p(z).\nAnswer: 4*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -77*g**3 + 54*g**3 - 28*g**2 + 33*g**2 as w*g**3 + u + k*g + x*g**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*j - 20279 = 0, -v + 13638 + 6641 = -14*j. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**3 - 49*b**2 + 19*b + 53. Let s be w(-25). Suppose -5*v = -5*g - 260, -2*g - g - s = -4*v. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7076731, -7076655, -7076569, -7076467, -7076343, -7076191, -7076005, -7075779?\n\"Answer: t**3 - t**2 + 72*t - 7076803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from snfssssssfssssfs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12085781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 7, q: 9, z: 3}. Give prob of sequence xqxx.\nAnswer: 105\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -963792, -1927579, -2891366?\n\"Answer: -963787*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2. Let o(a) be the first derivative of -101 + 22*a**2 - 4*a - 19*a**2 + 10*a. Give o(l(c)).\nAnswer: -12*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17767786\/17 - 1044815. Let w = p - 349. What is the closest to -2 in -3, w, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14082, -14080, -14078, -14076?\nAnswer: -14074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100667 is divided by 33548?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 227*d**2 - 214*d - 53119. Give k(225).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4433460\/17 <= -260792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4230 times -3\nAnswer: 12690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263467 is divided by 722.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -24 + (181 - (140 - -31)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11 and -11136288.5?\nAnswer: 11136277.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 10*f**2 - 7*f - 11. Let i = 76 - 67. Calculate m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 2  (c) 0  (d) 2\/9  (e) -0.02  (f) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1*(((w*w**(-8))\/w)\/w)\/w)\/(w**(3\/2)*(w*w\/(w*w*w*w*w\/w**4*w*w))\/w)*(w**(2\/7))**27\/(w*w**2)**(-3\/4) assuming w is positive.\nAnswer: w**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7*r**3 + r**2 + r - 1. Let d be v(-3). Let z = d - 517\/3. Let p = 1189\/63 - 190\/9. What is the common denominator of z and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 8:51 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -4*p, -4*p + 1 + 8 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -q - 7700000. Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 11:12 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**3 - 3*h**2 - 2*h**3 + 4*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.041, -1\/6, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.969 and 1.\nAnswer: 0.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -922 != -922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f**(2\/3)*f*f))**(9\/8)*f**8\/f*f*f**5 assuming f is positive.\nAnswer: f**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -58501a (base 11) in base 2?\nAnswer: -11100010110100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 - 34*k - 51. What is s(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 480 + -320. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83 - -87. Let z = 4 + 6. Let v = z - 8. Solve -4 = -3*l + d*n, 0 = 2*n - 3*n + v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 11:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 278 and 2224.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-470)\/90 - (91 + -96)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of -246*(62\/372 + 5\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 4*q + 3. Let i be f(-2). Let z = 13 - 8. Let r(a) = -a + 5. Let h be r(z). Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*g**2 - 4*g + 2*g - 15*g**2 in the form m*g + i + c*g**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*m + 212195 = 32*m + 91*m. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1296653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together -192161763 and 5255.\nAnswer: -192156508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210231011330 (base 4) to base 9.\nAnswer: 20084662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -o - 4*q + 4, 2*q - 8 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -13018955 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = j + h - 8, j - 4*h = 12. Let n = 3 - 2. Which is the closest to n?  (a) j  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 63*m**4 - 258*m**3 - 291*m**2 + 30*m.\nAnswer: 3*m*(m - 5)*(m + 1)*(21*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 714 and 132.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(320) - (-5*sqrt(320) + 2))**2*-2.\nAnswer: -23049 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqqss. What is prob of sequence qs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-2 - -8)) + -1 + -7 + 23\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 964 + 50 = 78*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 4:26 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.5349 plus 1912?\nAnswer: 1905.4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4*(-2 - (-9)\/12). Let z(s) = s + 7. Let y be z(r). Suppose -6*h = -y*h - 76. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from jyjsbssbjksss.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 20, -3 in descending order.\nAnswer: 20, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2060*v**3 + 483*v**3 + 1308*v**3.\nAnswer: 3851*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-2)*(980\/196)\/((-7)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2111 - 211?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -479 divided by 6.\nAnswer: -479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 69 = -s - 4, c + 17 = s. Let n = 46\/11 - 633\/154. Calculate the common denominator of ((-3)\/((c\/(-29))\/(-4)))\/20 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7 - 59*m + 15*m**2 + 11 + 8*m.\nAnswer: 3*(m - 3)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 + 0.96. Let g = -4 + r. Which is the closest to -2\/7?  (a) g  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1549 - -1553. Let b(s) = s. Let t be b(-5). Put 0.2, t, l in descending order.\nAnswer: l, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110, -137, -734, -1681, -2978?\nAnswer: -4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qqqyqyyqyqyqqqqqqqq?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/18)\/((-23694)\/(-1485) + -16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 61, 93, 127, 163, 201?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 3, 45271, -9, 1\/6, 0.5 in decreasing order.\nAnswer: 45271, 3, 0.5, 1\/6, 2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191 = 12*m - 109. What is the third biggest value in -0.3, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -25, -4, 7, 1, 5 in descending order.\nAnswer: 7, 5, 1, -4, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 5158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -741 times 893?\nAnswer: -661713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26 - 0.1237.\nAnswer: -26.1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -308 divided by 163.\nAnswer: -308\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3369559873?\nAnswer: 3369559873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -765, -248, 565, 1674, 3079, 4780?\nAnswer: 6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 2 + (4 - -2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37622403.\nAnswer: 3, 7, 13, 71, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2006414 (base 7) in base 11?\nAnswer: -152537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-212)\/(-159))\/(-1*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 36*a - 635. Calculate l(23).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5159*n + 118728. What is s(23)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/21*(-18)\/(-30))\/(24\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*o - o - 84 = 0, -4*p + 300 = -3*o. Suppose 3*n + 2*g = 17 + 22, 4*g + p = 4*n. Is 3\/n - (-1096)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/17  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4477533170?\nAnswer: 2, 5, 11, 37, 1100131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/751, -0.3, 0.5, 18, 6, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + (-14 - -14) + 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 297 + -280. Solve 2*g - 5*f = l, -g + 2*g = -3*f - 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2820\/37 - -11317\/148. Which is the closest to 1?  (a) s  (b) -4\/71  (c) 2\/11  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1826649 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {k: 1, a: 1, e: 2, w: 1, i: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 378075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7221*l - 197280 = 2289*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1905 divide 78291690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 16 and -6.204788.\nAnswer: 9.795212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n = -8*n - 32. Is 8 a factor of 7 + 21 - n\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuls when four letters picked without replacement from {s: 3, d: 2, u: 6, l: 8}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -263*g - 11303. What is y(-43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -11010001010011011111010 (base 2) to base 11\nAnswer: -3964981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**(1\/24))**(-7) assuming l is positive.\nAnswer: l**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x**2 + 8*x - 33. Let t(r) = -3*r**2 + 4*r - 16. Let g(b) = -4*a(b) + 9*t(b). Let w be g(12). Calculate the highest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 423 = -4*c + k, 4*k = -5*c - 534. Let j = -75 - c. Suppose 11 = d - 0*d. What is the remainder when j is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1\/7, -0.4, 2\/15, -672.\nAnswer: -672, -0.4, -1\/7, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d - 21*d = -145. Let j(b) = b + 4. Let r be j(-1). What is the fourth smallest value in d, -4, r, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 9:21 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2627791 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4987 + 3?\nAnswer: -4984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7460 (base 10) in base 11?\nAnswer: 5672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from lcpecccw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 39210, 39193, 39156, 39093, 38998, 38865?\n\"Answer: -q**3 - 4*q**2 + 2*q + 39213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 892597444?\nAnswer: 2, 17, 937, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 8:08 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 136  (b) 0.0734  (c) -1\/3  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 11:22 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(2\/7))**(1\/31)*((u**(-3\/11)\/u)\/u)\/(u**(1\/3)\/u))**(-6\/19) assuming u is positive.\nAnswer: u**(22672\/45353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -32 + -27?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 2*d - 214, -3*d + 4*d = 5*n - 275. Suppose -4*m - 3*m = -n. Let s(z) = -z**2 + 9*z - 3. Let u be s(m). Solve -u*q + 0*q - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 650.5, 0.2, 9\/4, 2\/5, -1, -1\/6, -5?\nAnswer: 650.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1679 - 1677. Put 177.7, n, -5, -2, 4 in descending order.\nAnswer: 177.7, 4, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 9*y**2 + 4*y - 7. Let b be w(-8). Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30)\/(-40) + (-16323)\/(-12)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 2*i = -5*x, 5*i - 5*x - 35 = 0. Suppose 0 = 4*w + i*r - 1900, 2*r = -3*w + 4*r + 1448. What is the highest common divisor of w and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 1*(-11 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16984422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 23. Suppose -7*p - v*p = 0. Solve p = -0*q - q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19 + 1)*3\/6. Let y = 7 - p. What are the prime factors of y\/2 - (2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -240, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 34\/(-119) - (-900)\/14. Let r = -408 - -416. What is the highest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of m**5\/60 + 3*m**4\/8 + m**3\/3 + m**2. Let z be n(-7). Let f be 3 - 4\/(z\/(-9)). Which is bigger: f or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75660 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 7*f. What is c(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.727 + -1.727. Which is the second biggest value?  (a) -37  (b) -0.5  (c) -4  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13727 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 326859132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68218, 68035, 67730, 67303, 66754, 66083, 65290?\nAnswer: 64375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - h + 3. Suppose 0 = 2*i - 4*i. Let x be f(i). Solve -12 = x*g, 2*w + 3*g + g + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/1063881 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -84*u + 93*u. Let s be (-4 - -2)*4*u\/156. What is the closest to 0.1 in 0.3, 3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t + 26 + 72. What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9*(2 + 1 + -2). Let h = o + 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.22 and -15083.32?\nAnswer: 3318.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 241 a factor of 205590858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 3 = 3*w. Let b(v) = 2*v. Let m(r) = 785*r - 1. Let p(t) = -5*b(t) - m(t). Is p(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**5\/30 + d**4\/12 - 7*d**3\/6 - 8*d**2 + d. Let i(l) = 2*l**2 - 3*l + 8. Determine 5*h(j) + 4*i(j).\nAnswer: -2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + a = -2*a + 9, t + 4*a - 7 = 0. Suppose 2*l - t = -l. Let p = 0 - 0. Solve p = -y + d + 4*d, -l*y = -3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g + 17*g + 40 = -13*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/4 - 595*l**2\/4 - 2925*l\/2.\nAnswer: -l*(l + 10)*(l + 585)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/3*-6 + 59. What is the greatest common divisor of a and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -495, 3 in descending order.\nAnswer: 3, 2, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6*(-6)\/12)\/((-9)\/(-33)). Calculate the highest common factor of 77 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 112 = -2*h. Let v = -18 - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1197, 2273, 3339, 4389, 5417, 6417?\nAnswer: 7383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -110*r**5 - 22*r + 5. Let x(o) = 329*o**5 + 66*o - 15. Let z(d) = -17*j(d) - 6*x(d). Find the second derivative of z(v) wrt v.\nAnswer: -2080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20\/23 - -323\/345. Let f(i) be the second derivative of i - 1\/6*i**4 + 1\/3*i**3 + 0*i**2 + 0 + g*i**6 - 3\/10*i**5 + 2\/21*i**7. What is b in f(b) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2)\/x)**31\/((x\/(x**4*x))\/(x**(1\/5)\/x)) assuming x is positive.\nAnswer: x**(-449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 123.82 + 0.18. Let j = i - 169.9. What is j rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 117 = -2*z - 93, -5*q + 42 = -4*z. Calculate the smallest common multiple of q and 74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67392\/(-10920) + 3\/5.\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**4 + 399056*r**3 - 798122*r**2 - 399056*r + 798120 = 0.\nAnswer: -199530, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 407 and 28934?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -152*b - 253. Let m be h(-5). Calculate the highest common factor of m and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 6 = -7*w. Suppose 0 = -0*o + w*o - 15. Factor 0*b**4 + 0*b**2 - 2\/7*b + 0 + 4\/7*b**3 - 2\/7*b**o.\nAnswer: -2*b*(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2642475645 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 132 by -24.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 1 = p. Suppose 5*v = 0, 4*v + 53 - 290 = -3*o. Suppose -2*w + 3*g + 40 = -19, 3*w + 5*g - o = 0. Solve -5*x = -3*s + w, -4*x - p = 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 153419981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**4\/8 + z**3\/3 - 649*z**2. Let u be 17\/4 - (-2)\/(-8). What is b(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -508 + 1271?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -207c (base 13) to base 8\nAnswer: -10621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 39*y**2. Suppose -23*s = -10*s - 10309. Let d(g) = -s*g**2 + 393*g**2 + 398*g**2. Determine q(d(a)).\nAnswer: 156*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6719718 is divided by 213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -525090, -525166, -525250, -525348, -525466, -525610?\n\"Answer: -r**3 + 2*r**2 - 75*r - 525016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eez when three letters picked without replacement from kskskkekeesezss.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 508\/7*k**2 + 354\/7*k - 356\/7*k**3 - 558\/7 + 50\/7*k**4 + 2\/7*k**5 = 0. What is k?\nAnswer: -31, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + (-153)\/21)*(-63)\/18. Suppose 0*f + 2508 = o*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by -1352273\nAnswer: 43\/1352273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 167*b + 6 - 4*b**3 + 5*b**3 + 172*b - 334*b + 3*b**2. What is j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 75, -37, -247, -603, -1153?\n\"Answer: -8*o**3 - o**2 - 53*o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -3. Let y(b) = 13*b + 51. Let j be y(-4). Put -2, x, j in descending order.\nAnswer: x, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2*y = -420, -3*r - 4*y + 569 = 167. Calculate the remainder when r is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 7*g + 5. Let c be n(4). Solve 0*v + c = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*x - 226 = 710 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -7. Solve -q*b - 20 = 0, p = 4*p + 5*b + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 4:03 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30956558*o**2*w**4 - 28058*o**2 + 2*o*w - w - 118 wrt w.\nAnswer: 371478696*o**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3317\/66  (b) -2\/9  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oogfgbfoogobgfggogor. Give prob of picking 1 f and 1 o.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2 = -3*v, 4*v = -0*v + 4*u. Suppose -2*w - 5 = 3*c - 3, 8 = 5*w + c. Let p(y) = y + 3*y**v + w*y**2 - 2*y**2. Give p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - -6. Solve -s - 3*s - p = v, 0 = 3*s + 4*v - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 11) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1704305?\nAnswer: 5, 43, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 41526 - 5?\nAnswer: 41521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*z**6 + 15396187*z**3 + 10252728*z**2 - 1?\nAnswer: 480*z**3 + 92377122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 10, -17, -78, -185?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173*t**3 - 2*t**2 + 5*t**2 + t**2 - 4*t**2.\nAnswer: 173*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-207571)\/(-45620)*(-5)\/14?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 2) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -5*d - 11 - 9, 1261*d - 1271*d + 2*s = 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 4*h + 34 = h, -1 = -2*m - 3*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/13*(-6)\/24?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/17  (b) -2  (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -280303, -280304, -280305, -280306?\n\"Answer: -o - 280302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 5:46 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -1\/10, 0.3, 5, -81, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -k + 46. Let u(j) = -j**2 + 7*j + 64. Calculate the remainder when -4 + (-2 - (k - 2)) is divided by u(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 8*q + 5. Let r be b(8). Let t(w) = w**3 + 197*w**2 - 178*w**2 - 22 - 38*w - 29*w. Let g be t(-22). Solve p + u - r = 0, -1 = -g*u - u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -15*(-1)\/(-3) + -1*(-535)\/110. What is the fourth biggest value in -0.03, 0.4, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (-45)\/(-7 - -2). Let f(r) = 3*r - 3. Is f(m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 210 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*d**3 - 3*d**2 - 5 + 5*d**2 - 2*d**2 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {s: 3, f: 1, v: 1, z: 1, d: 1, p: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 4. Let b = f + -7. Let h(t) be the second derivative of -t**3\/6 + 2*t**2 - 4*t. What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 2*u**2 + u + 2. Suppose 0 = -4*l - l - 20. Let d = 7 + l. Is s(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76 - -76.1. What is the closest to 0 in -3, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114806*k = -114785*k + 1008 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 12:55 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6, -4, -8, -6, 2, 16, 36?\n\"Answer: 3*g**2 - 19*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -76280 or -1449309\/19?\nAnswer: -76280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4, -2, 6, 20, 40?\n\"Answer: 3*m**2 - 7*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 17653?\nAnswer: -17650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 28\/11 + 2\/11*o**2 + 30\/11*o = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 10*h - 254 = 6*h, 0 = -531*h + 525*h + 366 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31113737, -31113732, -31113727, -31113722, -31113717, -31113712?\n\"Answer: 5*x - 31113742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.139886 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 9*n**8\/28 + n**4\/12 + 13*n**2\/2 + 19*n + 2. What is the third derivative of t(o) wrt o?\nAnswer: 2160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -17\/1196, 2\/13, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 6*p**3 - 3*p**2 - p + 2. Let w be o(2). Suppose 0 = q - 4*t, 0*q - w = -2*q - t. Find the second derivative of 3*g - q*g + 6*g**3 - 18*g**3 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*c**5 - 22*c**5 + 18*c**5 - 23*c**2 wrt c?\nAnswer: -1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -2. Let m(l) = -l**3 - l**2 + l - 410. Let t be m(0). Let r = 3686\/9 + t. Which is the nearest to 2\/7?  (a) 0  (b) r  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minus -1.2650381157?\nAnswer: 11.2650381157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15296353697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -2*g**6\/15 - g**5\/60 + g**4\/24 + g**3\/6 + 72*g**2. Determine j(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 17*n**2 + n - 107. Let s be z(-13). Let t = 558 - s. Solve -3*g - g + t = -3*m, -5*m + 18 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -23 - -6?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3679 + -11038\/3. What is the third biggest value in 167\/5, 0, 2, -4, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 37, -443, -1255, -2399, -3875, -5683?\n\"Answer: -166*x**2 + 18*x + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16.3 + -102.7. Let r = 118.999695 + t. Round r to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - -1.7. Let w = n - 1. Which is the second biggest value?  (a) -4\/9  (b) 1\/4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 4. Suppose 5*t = 4*b + 55, 5*b = -0*b - 3*t - 41. Let s be j(b). Let x be 4 + (-9)\/(-3) + -4. Solve x*m - 3 = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 34. Give s(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**0)**(-23\/5))**(-10))**(-41) assuming t is positive.\nAnswer: t**(-1886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 3*x + 3*x)*(x**2 - 2*x**2 - 3*x**2 + (4*x - 2*x + 0*x)*(-x + 2 - 2) - 4*x**2 - 3*x**2 + 5*x**2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = -3*r + 86 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1408 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 251.02431 months?\nAnswer: 0.209186925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86981.36 litres to millilitres.\nAnswer: 86981360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -124b48 - e?\nAnswer: -124b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 24\/(-8) - 4 - 40\/(-60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 334*n**2*o**2 - 67*n**2*o + 7*n**2 + 10*n*o**2 - 2*n*o + 2*n - 5*o**2 + 3086*o - 2 wrt n?\nAnswer: 668*o**2 - 134*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2416*c**3 - 2433*c**3 + 4851*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182250000\/7 - 2700\/7*z**2 + 2\/7*z**3 + 1215000\/7*z = 0 for z.\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -d**3\/4 + 7*d**2\/4 + 5*d\/4 + 6. Factor l(o).\nAnswer: -(o - 5)*(3*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of g**10\/7560 - g**7\/315 + g**4\/3 - 5*g. Let j(m) be the third derivative of u(m). What is the third derivative of j(f) wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -2 + (4 - 2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**4 - 2*t**2 + t**2 + 3*t - 2*t + 1 to f*t + i*t**3 + y*t**2 + o + b*t**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 7*r**2 - 13*r + 2. Let f(d) = 4*d**2 - 7*d + 1. Let m(x) = 11*f(x) - 6*k(x). Let q be m(1). Suppose z = q + 9. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71772866?\nAnswer: 2, 11, 3262403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 26 = -4*w, -w = -3*j - 4 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/72 and 143\/23493060?\nAnswer: 46986120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2869 - 637. What is the lowest common multiple of r and 5?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 2) + -3 - (-7 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 2\/39*o**4 + 2 + 2\/13*o**2 + 1\/130*o**5 + 5\/39*o**3 + 32*o. Factor i(j).\nAnswer: 2*(j + 1)**2*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 9:39 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0355946ml?\nAnswer: 0.0000355946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8962 divided by -33?\nAnswer: -8962\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*t - 73*t + 61873 = 3*n, -n - 3*t + 20646 = 0. Round n to the nearest 100.\nAnswer: 20600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 17 = 2*n - 55, 4*x = -4*n + 76. Suppose -8 = r - 5*s, s - 5*s = -20. Let i be 4 + -1 + (r - 2). Which is bigger: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*h\/((h*h**(-2))\/h*h)*h)\/h**(-2\/3))\/((h**(-2\/5)*h)\/h**(2\/7)))**(-5\/4) assuming h is positive.\nAnswer: h**(-281\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 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: Simplify ((sqrt(91) - (-6*(sqrt(91) - 2*sqrt(91)) - sqrt(91))) + sqrt(91) + (-6*sqrt(91)*-2 - sqrt(91)))\/(sqrt(49)\/(2*sqrt(1008))).\nAnswer: 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 145.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25 - 4 + 11*l**2 - 3*l + 3*l with respect to l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 4:16 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 40450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h**3 + 2*h**2 - 4. What are the prime factors of d(6)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*h - 290 = -50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*z**2\/7 + 3595*z + 151125\/7 = 0. What is z?\nAnswer: -325, -465\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9\/29, 0, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 8*y**2 + 23*y + 32. Let h be j(-10). What is the remainder when ((-16)\/6)\/(h\/(-3)) - -33 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i - 5. Let g(o) = -2*o - 6. Let r(p) = -3*g(p) + 2*h(p). Calculate r(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 393*i + 5*i**3 - 396*i + 4 to the form v*i + h*i**2 + k + s*i**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -s - 4. Suppose -1 + 25 = s*g. What is the least common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.36 + -0.34. Let d = 1.1 + t. Which is the smallest value?  (a) -5  (b) 1\/4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32069505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 2*c - 8996, 6622 = 4*s - 4*c - 2386. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-33) - (-3495)\/330)\/6.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/1750167019 and 8\/7.\nAnswer: 12251169133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from itggyggc. What is prob of sequence yt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/275 and -75\/484?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 2:38 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38822 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 7754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-4)*7\/42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*q + 13. What is the remainder when 10 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + 5*q - 3. Let j be i(3). Suppose -3*f + j = 2*l, 3*l + 5*f - 7 = 26. Is l\/4*(-186)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26 and -697178256851.\nAnswer: -697178256825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/2861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 900136 and -0.5.\nAnswer: -450068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27789.55us in seconds?\nAnswer: 0.02778955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132046 - 29926 = -2220*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p**2 - 8*p + 8*p)*(19 - 9 - 8 + 5*p).\nAnswer: -35*p**3 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, 0.3, -301877?\nAnswer: -301877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(1700)*4)**2 - sqrt(1700)) + sqrt(1700) + -1 + 5 + 4*sqrt(1377) + sqrt(1377)).\nAnswer: 135*sqrt(17) + 81612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + 15?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 3*p**5\/2 - 648*p**4 - 9213*p**3\/2 - 1359*p**2 + 18402*p + 15804 = 0.\nAnswer: -6, -2, -1, 2, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 6*t - 17. What is n(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 2 - (9 + -9 + -1) - 35.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98447210 is divided by 1022.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -5*s. Suppose -m + 18*m + 28*m = 0. Let v(w) be the third derivative of 0*w**3 + m*w + 1\/24*w**4 + 0 + 4*w**2. Determine x(v(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 142715, 142714, 142713, 142712, 142711?\n\"Answer: -a + 142716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 176 = -2*f, -275*a = 5*f - 280*a - 510. Solve -f*s + 99*s = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/7, -15\/2, 0.214?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -642*g - 2945*g**2 + 644*g + 11108 + 2947*g**2 in the form f + t*g + o*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o - d - 10 = 0, 3*o - 2*d + 12 = 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 9*q**2 + 20*q. Let s(j) = 13*j**2 + 32*j. Let o(u) = 8*p(u) - 5*s(u). Let k(v) = 21*v. What is k(o(b))?\nAnswer: 147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.86 times -0.019?\nAnswer: 0.39634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/6 - k**3\/6 + 247*k**2 - k. Suppose 0 = 2*l - 4. Let a = l + 2. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35 + -16. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -413, -1486, -3251, -5732, -8953, -12938, -17711?\n\"Answer: -4*u**3 - 322*u**2 - 79*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18 and -0.1.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -222237729 at least as big as -222237729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 + 165*i - 1.\nAnswer: 165*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {d: 1, o: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2355 is divided by 782.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -950 by -190.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 269911254 to the nearest integer?\nAnswer: 16429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -7 + -4 + (5 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9618 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 AM and 5:19 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -4  (b) -0.1  (c) 28\/3  (d) 0.8  (e) -40  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 9:55 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h + 0 + 0)*(-125 + 55 - 155)*(0*h - h - 3*h) to the form k + j*h**2 + g*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/2*(-2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 + 5 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 - 5)\/(1*-1) + 3. Solve -j - 4*b - 5 = -0, 5*j - q*b = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 8. Let g be (4 - 3)*t*1. Let j(q) = 38*q**3 + 2*q**2 - 4*q + 3. Is j(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 895955.9 millennia?\nAnswer: 89595590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 3:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/4))**(-1\/23))**(-6)*(o**10*(o*o\/o**(-2\/7))\/o)**(2\/145) assuming o is positive.\nAnswer: o**(10313\/46690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (230\/15)\/(18\/(-27)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*f - 60 = 37*f. Let k = -0.0387 + 0.0487. Which is the smallest value?  (a) k  (b) -1\/6  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 46631348 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 + -9. Let l = 21 + -14. Calculate the smallest common multiple of l and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10260*g - 10236*g = 450192. List the prime factors of g.\nAnswer: 2, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 3*t + 16, 0 = -2*x - 3*x + 3*t - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45.97 + -1.03. Let c = m + 47.00000124. What is c rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03302 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/7 + 535\/(-35). Let s be (-51)\/k + -3 - 0. Which is greater: 1\/2 or s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 12:37 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 132 + -126. Let c be 3\/12 - (-2)\/(-8). Suppose c = -o*f + f. Solve -2*j + f*y - 25 = 3*y, 4*y = 2*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*a**5 - a**3*h*k - 382*a**2*h - 9762*a*h + a*k + k wrt a.\nAnswer: -140*a**3 - 6*a*h*k - 764*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5066*b**5 + 5469*b**5 - 12823*b**5)*(2 - 5 - 1).\nAnswer: 9152*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (39\/12)\/(3\/12). Let c be -3*1*(-3)\/6*-12. Let h = f + c. Sort 4, -9, 1, h in descending order.\nAnswer: 4, 1, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/30 and -125\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - z + 20. Suppose -2*i + 10 = -z. What is the lowest common multiple of 10 and 0 + (i - 4\/(-2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express 253 + 2*f**3 - 413 + 180 - f**4 in the form h*f + x*f**4 + a*f**2 + p + c*f**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 26030*a**3 - 4*a - 26043*a**3 + 1 + (7 + 4*a - 7)*(-2*a**2 + 3*a**2 - 3*a**2) - 2*a**3 + 3*a**3 + 2*a**3.\nAnswer: -18*a**3 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/66 and -103\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 3:22 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 9 = 2*a. Let z = 5 - 2. Solve 2*u - o = -1, 0 = u + z*u - 5*o + a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-102))\/((-9)\/24*-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4, 92, 346, 836, 1640, 2836?\n\"Answer: 13*a**3 + a**2 + 2*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29501257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2088 = j, 18*j - 4*m + 2088 = 19*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -6*x**3 + 6*x**2 - x + 13. Let y(h) = 12*h**3 - 11*h**2 + 2*h - 25. Calculate 11*r(k) + 6*y(k).\nAnswer: 6*k**3 + k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 889, 3820, 8695, 15508, 24253, 34924, 47515?\nAnswer: 62020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - v**2 - 76*v. Let k be w(-8). Suppose -15*b - b + k = 0. Solve -5*q + 18 = -i, -12 = -5*q - b*i + i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3568 - -3572. What is the closest to -1 in 0.2, i, 0.23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 232\/5 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.2617 - -0.045.\nAnswer: -1.2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, h: 1, c: 1, k: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, p: 4, c: 1}. Give prob of sequence pnc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m + 17. What is b(-17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 903\/(-2331) - (-1)\/3. Is 0 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -91 + 28 + (-59 - -3) + 23.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102161 is divided by 9851?\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/690 and (-16482)\/(-1148) - (-3 - -13).\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 2*y**2 + 30*y - 29. Let c be r(-5). What is the second biggest value in 0.2, 3\/2, -31, c, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94.56904 milligrams to nanograms.\nAnswer: 94569040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + 65761617?\nAnswer: 65761627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -417*a + 136*a + 207*a - 2 - 2*a**3 - 2*a**2 as u + c*a**2 + f*a**3 + s*a and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -96, -102, -108, -114, -120?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001741237 rounded to 6 decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152981 is divided by 15298.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 673, -4, -1, -3 in increasing order.\nAnswer: -4, -3, -1, 4, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 418089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 4 - (-10 + -11 + 5 - 13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-13424345)\/(-1100) + (-1)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1419443592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.3 + 6.3. Let r = -1 + 7. Let f = l - r. Sort 4\/9, f, 4 in descending order.\nAnswer: 4, 4\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 216063 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**3 + 54*h**2 + 71*h + 52. Calculate s(-17).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**3 - 710450*x + 710450*x + 103*x**3 + 30*x**3.\nAnswer: 138*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18902 + -18777. Calculate the remainder when h is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*2*(0 + 1). Suppose -3*o = n*o - 15. Let m(a) = -5*a + 2*a + 0 + o - 5*a**2 + 4*a + a**3. Give m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.17 - 11360502.4.\nAnswer: -11360502.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -4*y - 15. What is the third biggest value in y, 0.2, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {l: 3, d: 2, i: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6177*t**4 - 2*t**3 - 18*t**2 - 402286*t.\nAnswer: 74124*t**2 - 12*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5567*n**2 - 578*n - 886040?\nAnswer: -11134*n - 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-9) - 21\/(-9). Suppose -r + 9 = -x - 2*x, p*r - 2*x - 20 = 0. Suppose r*g = 7*g - 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74\/407 + -4*426\/2112?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.2 - -5.36. Let y = u - 0.16. Let n = -5.8 - -6. Put y, n, -0.2 in descending order.\nAnswer: n, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*j**4 - 2*j**3*o*t + j**3*o - 8*j**3*t + j**3 - j**2*o*t + 2*j**2*t + 2*o*t + o - 5*t wrt j.\nAnswer: 72*j - 12*o*t + 6*o - 48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3\/7, -3, -2, -4.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 4 + sqrt(50)\/(2*-2*sqrt(10)))**2.\nAnswer: 94*sqrt(5) + 11301\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eds. Give prob of picking 1 d and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6904a0 (base 14) in base 13?\nAnswer: -981783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-6) - (-5)\/(60\/(-184)). Let r = x - -77. Suppose 0 = -4*v + 2*n - r + 295, -5*n = -5. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 82*g**4 - 183*g wrt g?\nAnswer: 984*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -26.57, 6.6, 0.3, 3 in decreasing order.\nAnswer: 6.6, 3, 0.3, -1, -26.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 26ac1539 - 0?\nAnswer: 26ac1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -485 - -488. Let b be 1 - (-1 - 2*3). Suppose b = i*s + 2. Solve -3*f = s*q + 15, -2*q - 12 = -2*f + 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -240.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.1 and -1406.\nAnswer: -1546.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -631708 divided by 539\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -4*g + 14, 2*g - 103 = -4*w - 51. Let f(c) be the first derivative of -1\/2*c + 3\/16*c**4 + w - 1\/8*c**2 + 1\/3*c**3. Factor f(n).\nAnswer: (n + 1)**2*(3*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 89.2717 to 0 decimal places.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 - 26*s + 9*s**2 - 8*s**2 - 4*s**2 + 23*s + 2. What is g(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00103409 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - 30 - (1 - (2 + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**5 - 58065*c**4 - 280409778*c**3 + 5345102682*c**2 - 17732760651*c + 12668125815 = 0. Calculate c.\nAnswer: -9687, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403370 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-180)\/(-240))\/(6\/(-16)). Let h(x) = 4*x**3 + 3*x**2 + x + 1. Determine h(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001378 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/7496160 and -11\/244440.\nAnswer: 22488480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/5  (b) 0.19  (c) 4.82  (d) -77\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 9*z + 27. Determine q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272 = 110*t - 115*t + 4*n, 4*t = 4*n - 212. Sort -4, 118, t.\nAnswer: t, -4, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 148 + 1229 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93101825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2000143, -4000069, -5999995, -7999921, -9999847?\nAnswer: -11999773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 0*p = -2*o - 10, -2*p = -2*o - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 3) + 2 + (38 + -24 - 25).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -98 + 108. Let i(q) = -14*q + 21 + 20 - x. Is 21 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*l + 579 - 250 = 221 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 10. Let n be 2 - (y - -2)*-6. Suppose 0 = 5*a + 10, 4*u = 3*u + 4*a + 12. What is the third smallest value in u, n, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -1.01135249\nAnswer: -1.01135249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-5 + 6 - ((14 - 8) + 0))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*s = -87 + 60 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*f + 6*f + 775 + 779. What is the second smallest value in f, 25, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.054 + 0.204. Let x = y + -0.158. Let m = -0.01 + 2.01. Put m, -2\/43, x in decreasing order.\nAnswer: m, x, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**5 + 534*a**4 + 22107*a**3 - 147384*a**2 + 228528*a.\nAnswer: 3*a*(a - 3)**2*(a + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/44 - (-328)\/11. Suppose 3 = 3*j + v. Does 18 divide ((-48)\/j - 4)*90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v + v**3 - v**2 - v + 0*v. Let z = 164 - 163. Let x(o) = o**2 - 1. Let a(h) = z*j(h) - 3*x(h). What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 minus 7484220588.549?\nAnswer: -7484220611.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -246 - 225*z**2 + 489 - z - 243.\nAnswer: -225*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -40. Suppose t - 7*t + u = 0. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 2*v**2 - 2*v + 4. Let l(m) = 396*m**3 - 14*m**2 + 15*m - 28. Give -21*k(z) - 3*l(z).\nAnswer: -1167*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46314762.\nAnswer: 2, 3, 13, 101, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kikieoioweoeooow. Give prob of picking 1 i, 1 w, and 2 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/2 and 19\/101829?\nAnswer: 203658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 2. Let z(t) = 25. Let r(d) = 4. Let f(p) = -6*r(p) + z(p). Give 4*f(o) - 2*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1211013 - -2?\nAnswer: -1211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11894, 23776, 35646, 47504, 59350?\nAnswer: 71184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q*q\/(q**(-2\/5)\/q)*q)*q**(-2\/13))**(-3\/11))**(-42) assuming q is positive.\nAnswer: q**(-45486\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 518.8577 centuries to decades.\nAnswer: 5188.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -1, -2\/11.\nAnswer: -25, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + 3*x**2 - 4*x**2)*(-86*x**2 - 20*x**2 + 52*x**2) + (x**4 + 3 - 3)*(-1 - 1 + 0) + (-2*x + 3*x - 3*x)*(0*x**3 + 4*x**3 - 6*x**3).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2700, 2695, 2690, 2685, 2680?\n\"Answer: -5*s + 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 267.94561 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 215, -8, 1.2.\nAnswer: -8, -5, 1.2, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 4*m**2 + 5. Let f be k(4). Suppose -2*a + 89 = f*i, 2*i = -4*a + a + 29. Let p = 35 + 0. Calculate the remainder when p is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -3\/8*n**2 + 3\/16*n**4 - 17 + 1\/2*n**3 - 3\/10*n**5 + 0*n. Let u(a) = 0. What is a?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21b4a (base 15) to base 4.\nAnswer: 122022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1126128l?\nAnswer: 112.6128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -7*z. Let j(k) = 4*k**2 + 5*k + 10. Let v(t) = 3*t**2 + 6*t + 12. Let u(r) = 6*j(r) - 5*v(r). Calculate b(u(s)).\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 0*i**2 + 90*i + 0*i**3 - 45\/4*i**4 + 43. Differentiate h(q) with respect to q.\nAnswer: -135*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -14*z**3 + 8*z**2 + 15*z**3 - z**2. Let n be q(-7). Let g = -140.8 - -140.5. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and -2.2781?\nAnswer: 1.2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 220 = -2. Let l = -46 + z. Let f = l + -28. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 2:48 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, u: 2, v: 2, n: 1, i: 1}. What is prob of sequence vunu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - f**3\/6 + 11*f**2. Let h = -14 - -8. Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 295*z**2 - 210*z wrt z.\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 4.8. Let q = -9362.3 + 9362. Which is the closest to g?  (a) -2  (b) q  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.049 and 9.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 331334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 7:24 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -39*p**2 + 33*p + 104. Determine k(-3).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49 and 74970?\nAnswer: 74970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4341345 is divided by 2206.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 190882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -263 - -310. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-4 + sqrt(2299)*-3*3 + sqrt(2299)*-3*3)*3*-3)**2 + 2.\nAnswer: 110484*sqrt(19) + 60335919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1031*k**3*s**3 + 3*k**3 - 6*k*s**2 + 15*k wrt s?\nAnswer: -6186*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 114, 45, -74, -249?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 1 - -5) + 0 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -147767*w + 5524. Let o(a) = 25*a - 1. What is 5524*o(t) + s(t)?\nAnswer: -9667*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h*l**2 - 496*h*n**2 - 2*h*n + 4*l**2*n + 2736*l*n**2 - 2*n**2 - 8*n with respect to l.\nAnswer: 4*h*l + 8*l*n + 2736*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 9:03 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 48 + 94. Let f = 407 - l. Let n = f - 106. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -2*t**4\/3 + t**3\/3 + 7*t**2\/2 - 4*t - 4. Let l(o) = o**2 - 1. Calculate 6*l(h) + z(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) + ((sqrt(65)*4 - sqrt(65))*6 - sqrt(65)) + sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65) - sqrt(65))\/(sqrt(320)\/sqrt(4)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -4*b - 15, -2*b - 2*x - 5 = -x. Suppose -59*p + 69*p - 1450 = b. Is p a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -11) + -2 + 1 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 11*s**5\/20 - 34*s**3\/3 + 14*s**2 + 61. Let i(u) be the second derivative of h(u). Differentiate i(o) wrt o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 20, 19, 18, -16, -8, 0.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42*n**3*w**3 + 601065*n**3*w**2 + n**3*w - 2*n**3 - n*w - 6153572*w wrt w.\nAnswer: -252*n**3*w + 1202130*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c8a4 (base 15) in base 4?\nAnswer: 203011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1103463184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 4*g. Let j be q(4). Suppose j*c + 8 = 4*c. Find d, given that 11*d**c + 30*d**5 + 22*d**5 - 35*d**4 + 24*d**2 + 8*d**5 - 55*d**3 - 5*d = 0.\nAnswer: -1, 0, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8684 and -8685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1*2)\/(8\/4). Suppose 4*k + 5 = 6*k + 5*b, -b + r = -k. Suppose -4*a - u + 15 = k, 0 = 3*a - a - u - 9. Solve -5 + 25 = -a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-246)\/(10 + (-1216)\/120) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46744 (base 10) to base 14\nAnswer: 1306c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, x: 2}. What is prob of picking 1 x and 3 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10002222110210010 - 1?\nAnswer: 10002222110210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 4 + 4)*(-7*w + 2*w - w) + 6*w - 4 - 2*w + 2 to g*w + q and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 452 divide 197524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 424*p - 41 + 22)*(3 - 4 - 6).\nAnswer: -2968*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 20*s**2 - 21*s**2. Let c(q) = 805*q**2 - 1505*q**2 + 701*q**2. Give k(c(n)).\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5339145*c**3 + 18469528*c**2?\nAnswer: 32034870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0733 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8345097 weeks to hours.\nAnswer: 140.1976296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - x**2 - 12*x + 15. Suppose -l + 2*s - 5 = 0, -5*s + 6 = -2*l - 9. Let g be m(l). Let d be ((-22)\/g)\/(2\/(-10)). Solve z + d = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28238 - -59053. What is w rounded to the nearest one hundred?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2833 * 13\nAnswer: -36829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -10. Let i be 4\/2 - (-2)\/4*-12. Sort i, 3, f in decreasing order.\nAnswer: 3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 4*f - 128. Suppose 5*c - x = 20, 4*c - 16 = -3*x - x. Calculate the greatest common factor of f and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 6*q - 5. Let h = -10 + 12. Let t(u) = 2*u + 2*u - 3*u. Let b(k) = k**2 + 1. Determine h*b(g) + q*t(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 6*l + 8. Let h(f) = -f**2 - 6*f + 7. Let t(w) = -4*h(w) + 3*q(w). Give t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m. Let f(n) be the second derivative of 2*n - 3*n + 6*n - 2*n - n**3. Determine f(l(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**10\/30240 + s**9\/15120 - s**8\/3360 - 7*s**4\/12 - 16*s**2. Let g(z) be the second derivative of w(z). Factor g(v).\nAnswer: v**3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 116472 and 24?\nAnswer: 116472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -358\/9 - -5867\/126. Find the common denominator of v and 35\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7938 = -413*a + 791*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 158854 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5843?\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1449648 divided by 391?\nAnswer: -1449648\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 2*y - 4 + 12 = 0, 0 = 3*y - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2507, -5, 0, 5.\nAnswer: -7, -5, 0, 5, 2507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3001404 + 1?\nAnswer: 3001405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 16082 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (4*(sqrt(1053) + sqrt(1053)*2) + 1*2*sqrt(1053))*1 + 1)*2 + 5)**2.\nAnswer: 4536*sqrt(13) + 825633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l. Let d be v(5). Let r = -4 + 9. Suppose -d*g + 40 = r. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 - (-10 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020 + -2021222100101?\nAnswer: -2021222101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6011 - -51241. Let a be (50*-3)\/(4\/s). Let x = 3036125 + a. What is x rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y + 2. Let v be t(3). Let f = 148 - 148. Solve f*r = 5*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 491 + -16339?\nAnswer: -15848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -3) + -4 - -4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 14 = -z + k, 4*z - 4*k - 36 = 0. Suppose 0*o - z*o + 90 = 0. Let u(h) = h**3 + 6*h**2 - 6*h - 3. What is the remainder when u(-5) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 202612048 to the nearest integer?\nAnswer: 14234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -341*f - 10. Let w(g) = -1024*g - 30. Let i(b) = -7*o(b) + 2*w(b). Let d be i(10). What is d rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 19\/361*-2 + (-802)\/(-38). Solve 5*i = -4*h + o, -4*h - 8*i + 17 = -7*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 4:08 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 8 = 3*z. Calculate the common denominator of (-1655)\/210 - z\/14 and 137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2921119111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/3 - 712*s\/3 + 710\/3.\nAnswer: 2*(s - 355)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l**4\/5 + l**3 - 21*l**2\/5 + 23*l\/5 - 8\/5 = 0. Calculate l.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*n**5 + 235*n**4 - 375*n**3 - 2115*n**2 + 1350*n = 0.\nAnswer: -10, -3, 0, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 12. Let n(z) = 0*z + z - 6 + 7. Let h(q) = 2*q + 1. Let o(a) = d*n(a) - 2*h(a). Let v(m) = -13*m**2. What is v(o(f))?\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 83148 and 13338.\nAnswer: 14218308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r**2 + 2*r - 18. Let z be f(-6). What is the greatest common divisor of z and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*i + 1. Sort 1, i, -4 in ascending order.\nAnswer: i, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-315)\/(-627) - (-2)\/(-3). Let r = c + -1\/57. What is the closest to -12 in 1, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2625.07 - -2614. Let b = n + 11. Let i = 0.0685 + b. Round i to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2458.628 kilometers to millimeters.\nAnswer: 2458628000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 78  (b) 0.02  (c) 4  (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 94816*j + 121259.\nAnswer: 94816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -641 = 2*g - 647. Solve -5*i = 2*l - 7, -g*l - 5*i - 2 = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -332 by 2986.\nAnswer: -166\/1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 52442.\nAnswer: -52442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 4 + 6*m - 1 - 6*m + 3*m + 3*m**2. Let a be j(-2). Let y be (54 - a)\/((-1)\/(-380)). Round y to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(12\/5)*d**(-4\/11)*d*d**(2\/13)*d*d**(-11)\/d assuming d is positive.\nAnswer: d**(-5584\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 35. Solve -g*a - 3*a = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101531483.\nAnswer: 101531483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(7*b**3 + 9*b**3 - 10*b**3 + (-3*b**2 - 2*b**2 + 4*b**2)*(-b - b + b)).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 516 and 1014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 + 533*p. Let f(b) = -3*b. Determine f(s(z)).\nAnswer: -6*z**2 - 1599*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/23  (b) -595  (c) 26  (d) -2\/15  (e) 0.3  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + 32\/6)*3. Suppose -59*w - 9797 + 46200 = 0. Let r = w + -613. Solve -3*o = -h - r*h - a, 3*h + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82 + 81. Is p less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6750706 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 771, 1535, 2299?\n\"Answer: 764*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 7*k**3 - 2*k**2 - 4*k. Let v(o) = -8*o**3 + 3*o**2 + 5*o - 1. Let p(g) = 3*q(g) + 2*v(g). Let l(y) = y**3. What is -6*l(x) + p(x)?\nAnswer: -x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 3*l - 3*s - 28, 3*s = -5*l + 8. Suppose 0 = -2*c + 27 + 15. Suppose -3*k + 101 = 5*m, -c - 17 = -2*k + l*m. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*b**2 - 12*b + 35*b - 54*b**2 - 6*b - 16*b.\nAnswer: -106*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-490)\/(-28))\/((-9)\/(-234)). Suppose -h - h + 256 = 4*z, -5*z - 499 = -4*h. Let o = s + h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.54 + 12.86. Let s = u + -10. Round s to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -6*t**3 - 7*t**2 + 13*t - 6. What is l(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 56 + -63. Let k(z) = -8*z - 3. Is 7 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1827017033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -451 + 221. Let r = -230.3 - m. Which is the third smallest value?  (a) r  (b) 0.08  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p**2 + 3*p. Let d be t(-2). Let m be d\/(-5) - (-1)\/(-5). Let y(c) = c**3 + 2*c**2 - 3*c - 1. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/95 and 79\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -w**5\/10 + 67*w**4\/4 + 220*w**2 - 29*w + 3. Differentiate c(x) wrt x.\nAnswer: -6*x**2 + 402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -87313 <= -87311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 - 22*t - 61. Is o(28) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -11*l + 46 - 12. Let f = -5 + 8. Calculate the lowest common multiple of f and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 - -74 - (8 + -4 + 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 1. Let g = -173\/395 + 3\/79. Which is the smallest value?  (a) f  (b) g  (c) 3  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100010000111110 - -100110001001000?\nAnswer: -111011111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81978 divided by -26.\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 15, 2*r + r - 5*t + 4663 = 0. Calculate the common denominator of 65\/2 and -3*(-2)\/(-33) + r\/88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11347 to three dps.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**2. Let r(u) = -6*u - 38 + 70 - 29. Calculate m(r(j)).\nAnswer: -72*j**2 + 72*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19790 is divided by 3297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**2 + 42*r**4 - 130 + 2*r**3 + 132 - r**3 to t*r**2 + x + i*r**3 + n*r + s*r**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.41  (b) -1  (c) -2\/7  (d) 0.1  (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 49*k**2 + 4461*k + 165. What is m(-91)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 5, 6 in descending order.\nAnswer: 6, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 5*n + 29 = 0, -3*n - 8 = -n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 2*q + 5 + 17, -2*q - 18 = -5*v. Let a be 2 + (-3)\/3 + 23. Let p = a + -17. What is the remainder when p is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/6)\/10)\/(210\/(-4620)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/8  (b) -2  (c) -3\/5  (d) -0.5  (e) 4  (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0866987 millimeters in micrometers?\nAnswer: 86.6987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 525?  (a) -0.03  (b) -8  (c) -1\/9  (d) -4  (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.011 - -13.7.\nAnswer: 13.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of d**4\/4 + 274*d**2 - 2. Let h(o) = o - 48. Determine h(p(g)).\nAnswer: 6*g - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 4*j - 7. Let m be 1\/(-1)*1\/j. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -1\/10  (c) 3  (d) 10  (e) 17  (f) -3937\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/9 + 75\/27. Suppose -p*a + 5 - 17 = 0. Sort a, 4, 7, -5 in ascending order.\nAnswer: -5, a, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*p, -13 = p + 5*t + 8. Solve p*h + 2 = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -7 + 3311\/133 + (-6)\/(-57). Solve 0 = 4*n - d - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*x - 8*x - 2*x)*(-863 + 863 + 56*x**3) to z + y*x + v*x**4 + i*x**3 + f*x**2 and give v.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 611 is divided by 606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 246804*l + 117356 wrt l?\nAnswer: 246804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*k + 2 = -2*j + 27*k, 14 = -4*j - 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1500, 3155, 4812, 6471?\n\"Answer: v**2 + 1652*v - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 44396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (-8 + (1 - 14) + 26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 82 - 49*p + 42*p + 37. Let z be a(16). Solve 4 = z*x - 11*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -12*q + 12. Suppose 4*u + q*t + 10 - 43 = 0, 15 = 5*u + t. Solve -3*y + u*o = 23, 3*y - 2*o = -y - 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -8, 10, 1, 0.\nAnswer: -8, 0, 3\/4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -11*w - 25. Let m(v) = 3*v**3 - 69*v**2 + 75*v - 203. Let n be m(22). Determine y(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -20. Calculate the smallest common multiple of -1 + 3 + (-2)\/(-8)*4 and (-2 + w + 0)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3683*h**4 - 79*h**3 - 8*h - 3681*h**4 + 42*h**3 + 72*h as f*h**2 + t*h**4 + n*h**3 + g*h + k and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) + 0 - (sqrt(13) + 1*sqrt(1053)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -68, -143, -196, -233, -260, -283?\n\"Answer: -m**3 + 17*m**2 - 119*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -384, -810, -1276, -1782, -2328, -2914?\n\"Answer: -20*f**2 - 366*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 14*h**2 - 14*h + 19. Let y be s(-15). Suppose -2*w = -r + 431, y*w = 3*r + w - 1305. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2095 + -3896. Let n = l - -10944. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20848588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 229 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/3 + 12\/(-18). Suppose 4*x = 2*q + 2, -2*x + 8 = 2*q - k. Is -1*q*(-96)\/9 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2778 and 0.5.\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106188 = 4*n + 4*p - 25824, 5*n - 165012 = -4*p. Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 12:19 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, x: 3, o: 10, v: 1}. Give prob of sequence oxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38 + 70 + 13*u - 35 - 2*u**3 to the form v*u + n + q*u**2 + x*u**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 63*n**3 - 348*n**2 - 13*n + 26. Give y(4).\nAnswer: -1562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 20*r**2 + 4*r + 93. Determine d(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 675 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -63 + 68. Suppose b*o - y = 124, -4*o - 2*y + 3*y + 99 = 0. Determine n so that 2*n - o + 47 - 2*n**3 + 2*n**2 - 24 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a938 (base 11) to base 12.\nAnswer: -8434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75988, 303941, 683862, 1215751, 1899608, 2735433?\nAnswer: 3723226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1238110954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = -5*m + 360. Let n be (1\/(-3)*2)\/(20\/m). What is the biggest value in -4, n, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 4 - 3)*(0*s + 2*s - 7*s) - 2*s + 3*s - 3*s + (-3*s + s + 4*s)*(-3 + 3 - 1) + (1 - 1 + 3)*(-2*s - 3*s + 3*s).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2389*h**2 + 2314*h**2 + 4*h + 16*h - 4653*h**2 + 17. Let c(r) = -17*r**2 - 7*r - 6. What is -17*c(a) - 6*g(a)?\nAnswer: -11*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54 + -54. Suppose u = 3*a - 8*a + 35. What is the remainder when 25 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113816063 - 146801.1?\nAnswer: -113962864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*n - 85 - 161 = -620. Factor 1\/5*p**5 + 0 + 0*p + 8\/5*p**3 + p**4 + 4\/5*p**n.\nAnswer: p**2*(p + 1)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -289*s + 288*s - 71 + 4*s**2 - s**2 - 2*s**2 - 52 to the form p*s**2 + w*s + m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6227\/2 + -3113. Let -3\/2 - a*m**2 + 2*m = 0. What is m?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/(-8))\/(3\/6))\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 507 + 35323. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**4 - 230*q**3 - 1400*q**2 - 1290*q + 2925 = 0. Calculate q.\nAnswer: -39, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 5*t**2 - t + 434. Let d(b) = b. Give -3*d(c) + q(c).\nAnswer: 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a + 3 - 3 + (-2 + 0 + 3)*(-5*a + 2*a + 2*a) + (a + 2 - 2)*(4 - 3 - 3).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -7846.\nAnswer: -7846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 11:39 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (372\/88 - 4 - 0)*(-92)\/115?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + ((-18)\/2)\/((-3)\/(-3)). Let y(m) = -4*m - 35. Give y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 6509 = -3*f, f - 4332 = -f + x. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (314\/(-6))\/(4*(-2)\/(-24)). Let a = u + 41. Round a to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 622*c**2 + 17*c - 44. Let f be k(3). What is the greatest common divisor of 95 and f?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from rlnlrt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-17)\/g*g)*g)\/g**11 assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14402 - -22?\nAnswer: 14424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 85?  (a) -774  (b) 0  (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13205 + 316985\/24. Calculate the common denominator of -11\/16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 80?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0*3\/(-12))\/(-3). Solve y*h = -2*h + 4, 4*o = h + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-9))**(-1\/3)\/(((((f\/(f\/f**(6\/13))*f)\/f)\/f)\/f)\/f**(-2)) assuming f is positive.\nAnswer: f**(73\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-3*(3 + sqrt(242) + sqrt(242) - sqrt(242) - sqrt(242))*4)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5 - (-17 - -22 - (-1)\/(-99)) and 2 - 5 - 268\/(-90).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 - 6*a**2 + 0*a**2)*(-2*a + 2*a - a**3 + (3*a**2 + 13*a - 13*a)*(a - 4*a + 5*a)).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24563 and 164318?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 36*q**2 - 12*q. Let j(t) = 72*t**2 - 25*t - 1. Suppose -43*a + 11*a = 320. Let w(p) = a*b(p) + 4*j(p). What is the second derivative of w(f) wrt f?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -16167728?\nAnswer: 80838640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b. Suppose 2*d + 2 = -3*h + 7*h, 2*h = -d + 3. Let z(u) = u + 1. Calculate h*z(s) - 2*y(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 - w. Let s = 37 + -38. Let i be q(s). Suppose -i*u + 3*g = -1488, 4*g = -u - u + 1010. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - q - 13. Let n be m(-7). Let b = -37 + n. Suppose 2*w + 5 = 65. What is the highest common factor of w and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-276)\/(-184) + 7\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 244 by -2867.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.42 + -996328648292.\nAnswer: -996328648289.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 9, q: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from mmiiiiiimmi?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + 2*x**4 - 2*x + (3*x - x + 0*x)*(0 + 6 - 4)*(2*x**3 + 0*x**2 + 0*x**2) to the form h*x**4 + q + o*x**2 + n*x + y*x**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -447*t**2 - 421*t**2 - t**3 + 868*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 152 and -608 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -857880 rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174, -179, -182, -183, -182, -179?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 347 - -12.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -431\/4 - -107. Sort w, -2.4, 0.1 in descending order.\nAnswer: 0.1, w, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*j = -132*j + 237*j + 211005. List the prime factors of j.\nAnswer: 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 128\/3*s**5 + 16*s + 0 + 1376\/3*s**4 - 746\/3*s**2 + 2722\/3*s**3 = 0.\nAnswer: -8, -3, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 3*w**2 - 8*w - 10. Calculate the remainder when 17 is divided by c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 2*s**2 + 2*s + 3. Let x(j) = 2*j**3 + 14*j**2 - j - 7. Let z be x(-7). Let t be b(z). Solve t*q + 11 = 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 - 5*p + 3. Let r be y(4). Let l = r - -3. Suppose 2*s + 6 = g + 6*s, 0 = g + l*s - 16. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 127  (b) 0.19  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) 0.238  (c) 0.9  (d) -0.2  (e) 0.2  (f) 0.4  (g) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32880 - -440.\nAnswer: 33320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 739, 1948, 3667, 5896, 8635?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + 1)\/((-3)\/(-621)). Calculate the greatest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*d + 774930 = 59*d + 85*d. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 - 43.1. Suppose 3*w = 4*s + 12, 4*w = -2*s + 9 + 7. Suppose 0 = -x - s + 2. Which is greater: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-2))\/((-3)\/66). Suppose -4*j - q - 18 = 4*t, 45 = -2*t + 3*j. Let w be 30\/t*2\/4. What is the nearest to w in 2\/11, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/6)\/(1620\/(-432))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 87694527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -2\/11, 0.02 in descending order.\nAnswer: 0.5, 0.02, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 20*y**2 + 3*y - 344. Let s(p) = 9*p**2 + p - 153. Let j(a) = 4*o(a) - 9*s(a). Let w be -2*1\/(-4)*-4. Let g = 3 - w. Give j(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1752425104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 250401\/140 - 57944\/35. Let i = -527\/4 + x. Factor -3\/7*z**3 + i*z**2 + 0 - 6\/7*z.\nAnswer: -3*z*(z - 2)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -1 + 55. Let a = d - -38. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39\/167 - -12091\/1002. Calculate the common denominator of ((-18)\/(-40))\/(4\/(-90)) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -290  (b) -1177  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 248 + -105. What is the remainder when q is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76 divided by -1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3759551*f**2*o**3*z**2 - 5*f**2*o**3 + 3*f**2*o**2 - 608991*f**2*o*z**2 - 117*o**2 wrt o?\nAnswer: 22557306*f**2*z**2 - 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - 657*d + 1992. Calculate h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -693.58 and -1.\nAnswer: 693.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 6:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 153\/(-34)*(-4)\/6. Factor 3\/4*l**2 + 1\/4*l**4 - 3\/4*l**g - 1\/4*l + 0.\nAnswer: l*(l - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 427517.\nAnswer: 427517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -214 divided by 787009\nAnswer: -214\/787009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -48\/11 smaller than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 652?\nAnswer: -64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 44 = 2*g, y - 40 = -4*g + 44. Let i = -17 + g. Suppose -i*q - 2*q = -10. Solve -5*a - 17 = -q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**16*b\/(b*b*b**(11\/6)))**15 assuming b is positive.\nAnswer: b**(425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-20))\/1 - 96\/192\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 + -53. Let t be -4*(-7)\/(-28) + 16\/1. Solve -h*q = -4*a - 25, -3*q + 4*a + t = a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1005303, 2010603, 3015901, 4021197, 5026491, 6031783?\n\"Answer: -r**2 + 1005303*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -584, -582, -580, -578, -576?\n\"Answer: 2*r - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68329721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43208*i - 43212*i + 86419*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 110 - 242. Solve -2*c - 34 + o = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mgjby. Give prob of sequence mg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2327550264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0692 + 0.0693425. Round t to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -523 + 528. Suppose -3*r = 3*w - w - 14, -w = -2*r. Suppose n = -i, a - 3*i - 16 = w. Put a, -2, -14 in decreasing order.\nAnswer: a, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -394, -340, -284, -226, -166?\n\"Answer: i**2 + 51*i - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 783*z**3 - 371*z**2 + 2214*z + 7. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t*t*t**(2\/15)\/t*t**(-7)\/t assuming t is positive.\nAnswer: t**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1463\/4 + 366. Put h, -11, -1, 1\/9 in increasing order.\nAnswer: -11, -1, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.04 and -0.133.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-1\/2))**(3\/11)*(p*p**6)\/(p*(p*((p*p**4)\/p)\/p*p)\/p)*(p**(2\/3)*p**(-4)*p)\/(p**(3\/2)\/(p**(-4)\/p)) assuming p is positive.\nAnswer: p**(-212\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 348 and 17139.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 280253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 1, k = -5*v + 5*k - 194. Let c(l) = -l**2 - 41*l - 112. Let r be c(v). Solve 2\/7*i**5 + 0*i**4 + 0 - 2\/7*i**3 + 0*i + 0*i**r = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182.30256 minutes in hours?\nAnswer: 3.038376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25057982459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) 2991  (b) 5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2092 less than -19857802?\nAnswer: -19859894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 293, 583, 873, 1163, 1453, 1743?\n\"Answer: 290*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 46. Let y(k) = k**2 - 6*k - 8. Let u be y(8). Calculate the remainder when s is divided by (-46)\/(-6) - u\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62 + -111. Let u = 54 + s. What is the third derivative of 8*d**2 + 0*d**u + 61*d**6 - 57*d**6 + 0*d**5 wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9803 = -60*a - 9143 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**2)**(-31))**(-9\/4)*(x**(-5\/4)\/(x*x*x*((x\/(x\/(x**(-8)\/x)))\/x)\/x*x))\/(x\/(((x**1*x*x)\/x*x)\/x))**(-5\/3) assuming x is positive.\nAnswer: x**(1723\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (2350\/30)\/47*(-27)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/978 and -17\/2934.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 1)*(-2 - 2 + 2) + (-1 - 1 + 5)*(-35 - 30 + 1))*(2*h - 3*h + 3*h).\nAnswer: -388*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3321*a. Let j(z) = -5*z**2. Calculate j(f(d)).\nAnswer: -55145205*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 7*n**2 - 4*n - 5. Let b be l(5). Suppose 0*c + b = t - 3*c, -c = t - 5. Let z = -256 + 258. What is the least common multiple of z and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 2.4. Let o(a) = a**3 - a**2 + a - 6. Let z be o(-5). Let f = -641\/4 - z. Sort j, -4, f in decreasing order.\nAnswer: f, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 106.87 + 2.13. Let d = z - 111. What is the third smallest value in 2\/13, 2\/19, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1  (b) 0  (c) 2\/5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 15. What is the fourth smallest value in -6\/7, -0.1, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -366*y**2 - 236*y + 237. Calculate v(1).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (133\/(-28))\/((-1)\/4). Let i = 1 + x. Calculate the lowest common multiple of 20 and (0 + 2 + -1)*i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -0.2  (c) -200  (d) 1\/17  (e) 0.054  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 2 + 6. Calculate the remainder when f is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 3*f**3)*(-2*f**2 - 5*f**2 - 12*f**2)*(4 - 5 + 2).\nAnswer: 57*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -31487185 bigger than -31487185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3672689.\nAnswer: 3672689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 179 and -1.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z. Let y(p) = -1 - 756*p + 5 + 1513*p - 750*p. Let h = -4 - -6. Let r(w) = h*v(w) + y(w). What is the first derivative of r(j) wrt j?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -363291 > -363289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33477 and 6?\nAnswer: 66954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 4, -1, -0.252?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 10) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 27960 divided by -5?\nAnswer: -5592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 350 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-5))\/(1\/(-15)). Let w = -28 + 40. What is the highest common factor of w and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (10 + 1554\/(-10))\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7887.833 meters in millimeters?\nAnswer: 7887833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 2)*(-v - 2*v + v) + (2*v + 5 - 5)*(-3 + 9 + 1) + (-3 - 2 + 4)*(-2*v - 2*v + 5*v).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13080456 and 10008.\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 2:27 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 7*p**2 - 5*p. Let f be z(8). Let n = f + 60. Let k be -6*(2 - 22\/4). Calculate the highest common factor of k and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.665195 + -2.668. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xhhxccxchhxxhcqhhx. Give prob of sequence cq.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 847 is divided by 373?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in twenty-nine halves of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 165392964 divided by -455628\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**4 + 148680*j**3 + 1105435790*j**2 + 2210425560*j + 1105138445 = 0. Calculate j.\nAnswer: -14867, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 3*z**2 + 4*z - 2. Let g be w(-4). What is the remainder when 14 is divided by ((-6)\/g)\/((-9)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67 = -16*w - 99 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -264\/2423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43 + 41*f - 132*f + 39*f + 40*f.\nAnswer: -12*f - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 + 11 - (46 - 40) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 8*c**2 - 7*c + 26. What is q(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.067 - 1.067. Which is the biggest value?  (a) p  (b) -0.3  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7120, -13719, -20328, -26953, -33600?\n\"Answer: -r**3 + r**2 - 6595*r - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 0. Suppose -2*l = -l - 5*n - 17, v*n + 14 = l. Suppose -4*a - 2 = l. Which is bigger: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -21*d - 27 - 69*d + 18*d. Let s(b) = 29*b + 11. Let v(c) = 12*s(c) + 5*z(c). Calculate the lowest common multiple of v(-1) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/8 - (-135)\/420.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1815516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -46 and 0.01.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 95\/12 - (-3)\/9. Let o(w) = 23*w**3 + 4*w**2 - 10*w - 24*w**3 + 24 + 5*w**2. Let u be o(8). Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -7*s + 3. Let f = -15 + 27. Suppose -3*h + 0 = -f. Let m(q) = -6*q + 2. What is h*u(l) - 5*m(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -28, -59, -92, -127, -164, -203, -244?\n\"Answer: -a**2 - 28*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2. Let x(j) be the first derivative of 0*j - 5\/2*j**2 + 2. Determine x(p(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/(2\/(-30)*5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-1 + -4) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3254 divided by 1?\nAnswer: -3254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i**2 + 2*i + 1. Suppose w = -2*n + 18, 4*w = n + 4*n - 32. Suppose -n = 4*a + 8. Let t(b) = 4*b**2 - 3*b - 2. Give a*t(y) - 6*x(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + s + 63*v = 61*v - 3, -5*v + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/2*(-8)\/108*9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -16) + (82 - 84)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52)\/(-10) - (-6)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/2?  (a) -3.7  (b) -45  (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 166, 332, 498?\n\"Answer: 166*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 14*h + 5. Let d be v(-14). Let i be (-2)\/d*(-2 - 3). Factor c**3 - 27 - c**i + 23 + 4*c**2.\nAnswer: (c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 771278, 771266, 771252, 771236, 771218, 771198, 771176?\n\"Answer: -w**2 - 9*w + 771288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-5) + (3 + -5)\/(-10). Suppose 3*p + 3*o - 15 = h, -p + 9*o - 7 = 7*o. Solve 0 = -3*i + 4*z + p, -3*i + 2*z + 3 = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5 + 4*102\/6. Find the first derivative of -19 + 7*p**4 - 8*p**4 - 8*p**4 + z wrt p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.128 - 1.812. Let p = 0.05 - -0.01. Let y = l - p. What is the nearest to 0.2 in y, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -p - p + 38, 3*z - 52 = 5*p. Let x = z + -10. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(-1)\/3*3. Suppose -3*a + 5*v = -0*a + 88, d*v = 3*a + 73. Let n = a - -74. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 180*o + 2470. Calculate g(-14).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - l + 0 + (-1 + 4 - 5)*(-l - 2*l + l) + 0 + 0 + l - 2*l - 2*l + 5*l)*(-27 - 232*l - 1629*l + 27 - 349*l).\nAnswer: -11050*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -55*o - 350. Suppose 0 = -2*b + 452 - 108. Calculate the remainder when b is divided by i(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3593 is divided by 1760.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 - 1)*(-2*s - s + 0*s) + 2*s + 1 - 1 + 4*s + 2*s - 4*s + (3 - 3 + s)*(0 + 0 + 2) + (4 - 4 - 1)*(s + s - 3 - 3*s).\nAnswer: 25*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/(-3)*222\/(-370)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31025\/2532 + -2\/633. Find the common denominator of (-2)\/7*(-1 + (-250)\/(-20)) and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2149 is divided by 759.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**3 + h**4 - 3*h**4 - 2*h - h**4 + 2*h**2 - 2 to p*h**2 + n*h**3 + d*h + s + a*h**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 43 + -57 - ((50 - -3) + (-16 - (-14 - 9)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = d + 7 - 16, 0 = -d + 4*p. Solve 2*f = 2*s + 6, -6 = d*f + 2*s + 3*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*z = 31, -u + 2*z + 5 = z. Solve w + u = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*i**3 - 42*i + 39*i - 53*i + 2*i**2.\nAnswer: 31*i**3 + 2*i**2 - 56*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**2 - 9*f + 6. Let o(q) = -150*q + 2705. Let r be o(18). Let i(x) = 3*x**2 - 8*x + 5. Give r*y(k) - 6*i(k).\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 4*w**2 + 9*w + 2. Let h be v(6). Let u be (-2)\/9 - h\/(-9). Suppose -4*t = 5 - 13. What is the highest common divisor of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-54)\/12)\/((-1)\/(-36)). Let k = q + 172. Let j(s) = s**3 - 9*s**2 - 9*s + 1. Calculate j(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, o: 1, q: 1, j: 1}. What is prob of sequence qj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**2 + 3*p**2 + p**2)*(0 + 0 + p)*(20 - 49 - 29)*(-3*p + p + p).\nAnswer: 58*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165730 and 7580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36629421 to the nearest integer?\nAnswer: 6052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l**3 - 3*l - 5. Let b(m) = m**3 - m**2 + m - 1. Let a(c) = -2*b(c) + v(c). Let o be 0\/1 - (3 + 0). Is a(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 176.92 + 0.08. Let q = -181 + k. Sort 0.1, 3, q in decreasing order.\nAnswer: 3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -103*h**4 - 992474*h**2 + h + 4876506 wrt h?\nAnswer: -1236*h**2 - 1984948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-6)*(-4 + 250\/4). Suppose 151 = 8*a + s. What is the least common multiple of a and 140\/8*(-8)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31465 + 62221 = 28*l - 129544. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31.214 - -0.186. Let d = v - -0.2. Let a = d - 37. What is a rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - (-466)\/204) + (-16)\/136. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2 - 3 + 9 + g**2. Let h be x(0). Suppose -5 = -h*w + 7. Solve 0 = l + 3*f + w, -3*l + 3 = 4*f + 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19205 + -19059. Solve -c = -x + 141 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 12, 4*a - 10*h - 182 = -12*h. Solve 5*d + a = 27*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350091 = 8*n + 13*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1 + -3 - (-3 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-6)*(122\/488)\/((-12)\/3392)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 82*s**3 - 3*s**2 + 3*s + 4. Let f be o(3). Let c be 24\/4*2\/(-4). Let l be f*(0 - c - 2). Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*u = -3, -4*u - 13 = -2*x - 3*u. Suppose -3*v = -2*v. Suppose 5*f - 14 = -3*t + f, -3*t + 5*f - 4 = v. Put 3, x, t in decreasing order.\nAnswer: x, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 608298235 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 + 0*f**3 - 4*f**3)*(-6*f**2 - 4*f**2 + 3*f**2) + 0*f + 0*f - f**5.\nAnswer: 20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n**3 + 2*n - 3. Let x = 2 - 3. Let a(m) be the first derivative of m**4\/4 + m**2\/2 - m + 4088. Give x*c(z) + 2*a(z).\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 30*s + 965. Calculate d(-30).\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v = 14*v - 24. Find the common denominator of -77\/54 and 7\/((-280)\/(-268)) + v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13004 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/14712 and -31\/153.\nAnswer: 750312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -5*y + 4*b + 214, -5 = b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 8*i - 17. Let r be n(5). What is the highest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*b**3 - 26*b**3 + 73*b**3 - 18*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1073934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -445*o + 103. Let w(s) = -1336*s + 342. Calculate -10*p(g) + 3*w(g).\nAnswer: 442*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.0462*-36811\nAnswer: -1700.6682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f + 2*f + f + 25 - 2*f - 25 + (2 - 2 - 2*f)*(-3 - 3 + 4) + (-f + 3 - 3)*(-1 + 1 - 3) to the form u*f + t and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -122 - -84. Let b = -237.6 + 286. Let a = -48 + b. Put a, -1, o in ascending order.\nAnswer: o, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 3*r + 2, -5*x = 2*r - 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-4\/9))\/j**7*(j*j*(j*j*j**4*j)\/j)\/j*j*j**(-2\/17))**(-33) assuming j is positive.\nAnswer: j**(-3916\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 0*n = -80. Let c be (-11)\/(-3) - (-6)\/(-9). What is the second derivative of 4*z + 0*z**3 - n*z + 3*z**c wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p**5 + 8*p**3*y**3 - 2*p**3*y - 6*p**2*y**2 - 7*p - 2*y**3 wrt p?\nAnswer: -120*p**2 + 48*y**3 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 629 + 2011 = -174*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -142 - -144. Find the third derivative of 68 + 277*k**y - 74*k**3 - 276*k**2 + 239*k**3 wrt k.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*h + 8 = -55*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*g + 1289 = -279 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2419 - 2419. Solve g = q - 3*n - 11, -2*q + 6*n + 7 = 5*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-269)\/85 + (-258)\/(-645) + 1 + 2.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 28 = -44. Let l be (-22)\/55 + o\/(-15)*1. Let y be (0 - -257)\/(l + -3). Round y to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 2 = 2*z - 4*i, 4*z = 3*i + 7. Let h = 4 - z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q. Let r(d) = 10048*d - 2. Determine g(r(a)).\nAnswer: 40192*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 30*j**2 - 31*j**2 - 96*j - 37 - 215. Let i(l) = -48*l - 127. Let f(q) = -7*i(q) + 3*v(q). What is the derivative of f(b) wrt b?\nAnswer: -6*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l**5\/2 + 4117*l**4\/2 - 4525313*l**3\/2 - 23872162673*l**2\/2 + 2262656*l + 11936079278 = 0. Calculate l.\nAnswer: -3214, -1, 1, 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 9422 = 6*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 11\/((-143)\/(-169))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 135 - 76. Suppose n*m = 55*m + 1776. Is m a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -3, -300, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -3, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 47 and -459026.\nAnswer: -21574222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 119 = 161. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 z, and 1 x when three letters picked without replacement from dzznxznddy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4834938*d**4 - 5096973*d?\nAnswer: -58019256*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 5 = -3*b, -1 - 1 = y - b. Let i = y + 8. What is the remainder when (-20)\/(-2)*(-2 - -4) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 133*p**3 - 6*p**2 + p**4 + 133*p**3 - 2*p - 396*p**3 + 129*p**3 - 11*p**2 + 1 in the form v*p**3 + z*p**2 + r*p**4 + o + a*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1027559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1055, 2091, 3127, 4163?\nAnswer: 5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*d + 6 = 0, -v - d + 6 = 2*d. Suppose -t + v*t = 0. Let -3*a**2 + 15\/4*a**3 - 3\/2*a**4 + t + 3\/4*a = 0. What is a?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*i - 1. Factor w**3 - w**4 - 4*w**3 + w**i.\nAnswer: -w**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 7:02 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -4\/5  (b) 0  (c) 0.1518\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/9)\/((-208)\/216))\/(498\/166)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 7*j + 11. Let q be m(-8). Let w be 1\/(-2) - 2\/(-4). Let 1\/3*u + 9*u**4 + 3*u**2 + 9*u**q + w = 0. Calculate u.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 4\/3  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -34, -70, -108, -148, -190, -234?\n\"Answer: -v**2 - 33*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rsr when three letters picked without replacement from rcrrssrrsss?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.58+-2352\nAnswer: -2351.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111, -116, -119, -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-11 - (-4 + -3)) - -3 - 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - 29*r + 15. Let v be a(-13). Let p = v + 28. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 15*o - 20*o + 32, 3*h + 2*o - 29 = 0. Solve r - 14*v - h = -10*v, -3*v - 12 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -74, 4, 1 in ascending order.\nAnswer: -74, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -731a (base 14) to base 6\nAnswer: -231432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, o: 9}. What is prob of picking 1 n and 2 o?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-49)\/(4900\/(-120)))\/((-6)\/(-75)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/530, 1\/2, 0.3, 18\/19, -22\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 22. Let f be (o\/(-6) + 0)*34. Is -16 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8891, 8889, 8887, 8885?\nAnswer: 8883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from jjppjpmpmjjjpj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m + 4*l - 14, -7*m + 3*m = 2*l - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 2*o - 6, -j + 0*o + 27 = 5*o. Suppose 2*v + 760 = -j*v. Let h be (9\/(-5))\/(2\/v). Calculate the highest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: What is next in -280, -1123, -2528, -4495, -7024?\nAnswer: -10115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1629229.998 rounded to the nearest one thousand?\nAnswer: -1629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -34. Let t = 8 - o. What is the third smallest value in 0.02, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11264)\/6 + 12\/36. Let a = 15067\/8 + r. Find the common denominator of a and -23\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 + 0)*((0 + 1 + 1)*(3 + 0 - 5) - 4 - 19 - 7) + 2 - 5 + 5)*(0*v**3 + 0*v**3 + v**3).\nAnswer: -66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-135664)\/162504 + (-8)\/(-9) + -120*6\/17427.\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -0.9. Let f = -478945\/28 - -17102. Let h = 24\/7 + f. Which is the nearest to k?  (a) -4  (b) 0.5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -366141\/7782502 - -5\/4907. Find the common denominator of w and -33\/26.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - 202*o + 204*o = 4*x + 82, 4*x + 103 = 9*o for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 2*u + 16 = 0, -75*u + 76*u = -10*o + 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5295\/14 or 377?\nAnswer: 5295\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - 22. Let a = 0.08 + -0.05. Let o = -7 - -7.5. What is the closest to g in a, o, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 936*w**2 - 62944*w - 435. Give a(-63).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 137 divided by -137.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 762 is divided by 370.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 67 - 69. Which is the biggest value?  (a) 2\/21  (b) 4\/13  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 163736804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 12*b**3 - b. What is o(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 241, 2, -2, 4, 8, -3 in decreasing order.\nAnswer: 241, 8, 4, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 9*l - 1. Let g(d) = 15*d - 2. Let b(z) = 4*g(z) - 7*p(z). Calculate b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 319, 23579, -51 in descending order.\nAnswer: 23579, 319, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**4 + 2286568*b**3 - 326772289588*b**2 - 653551438896*b - 326776862736.\nAnswer: -4*(b - 285822)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 24751 = -8060. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 184*a - 14 - a**3 + 171*a + a**2 + 2*a**4 to q*a**4 + h*a + c*a**3 + y*a**2 + v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81720528.\nAnswer: 2, 3, 1702511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 37*i - 2 - 35*i - 3*i**3 + 0. Let t(b) = -9*b**3 + 7*b - 7. Determine -7*j(y) + 2*t(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20415734.\nAnswer: 2, 10207867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 19660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 + 3*h**2 - 4*h. Suppose 0 = 5*v + 5 + 15. Let c be g(v). Let b(z) = -311*z + 8402. Let m be b(27). Solve c = -3*w + 14 - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 6*y**2 - 5*y - 4. Let g be r(7). Suppose g*j + 139 = 19. Does 41 divide (-817)\/(-4) + -2 + (-33)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 20 = -3*z - z, -2*z = 4*x + 20. Suppose -5*n = 0, z = -5*a + a - 3*n. Suppose a = -5*f + 26 + 9. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2 - 2*g + 3. What is u(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23475 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 2:39 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2317691 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((1 - 0) + -1)\/(-2). Suppose j*v + 5*v + 15 = 0. What is the units digit of 2 - (3\/v - 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00024568 rounded to 6 dps?\nAnswer: 0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1214829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1895 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 19811423.7 to the nearest one hundred thousand.\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -6*z - 6. Let r = 498 + -499. Let l(h) = h**3 - h - 1. Give r*y(v) + 6*l(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -7*a + 18. Suppose w - a*w = 4*z - 6, -5*z = 4*w - 24. Suppose 9*v - w*v = -208000. Round v to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*s - 24*s = -135. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/7 + (-38)\/14. Let n be (-10 - (3 + x))*(-6)\/(-15). What is the nearest to n in 4, 2\/15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*0.1744\nAnswer: 0.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -2*s**6\/15 + 43*s**4\/12 + 337*s**3\/6 - s + 97. What is the second derivative of d(y) wrt y?\nAnswer: -48*y**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 660.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7683*n**6 - 32*n**3 + 2*n**2 + 218967 wrt n.\nAnswer: 921960*n**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.023231 and -42.02?\nAnswer: -0.97616662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 4*u = -3, 0 = -0*u - 5*u - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6*(-4)\/(8\/(-1)). Suppose 0 = -u - q + 34 + a, 0 = 4*u - q - 158. What is the third derivative of 16*o**3 - 8*o**2 - 39 + u wrt o?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aahb when four letters picked without replacement from {h: 3, b: 2, a: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2*-0.6497\nAnswer: 1.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) -1\/7  (c) 3\/58  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 0, 2, 10, -189, -4, -3.\nAnswer: -189, -4, -3, 0, 2, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/6 and 63\/9424?\nAnswer: 28272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 48*c + 1. Let w(i) = 23*i. Calculate -2*r(s) + 5*w(s).\nAnswer: 19*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 96*y**5\/5 - 2452*y**4\/5 + 3004*y**3 - 3732*y**2 + 5044*y\/5 + 952\/5 = 0.\nAnswer: -1\/8, 2\/3, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13770 + -13769. Which is the nearest to -349?  (a) 2\/9  (b) p  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*z - 30. Let p = 46 + -88. What are the prime factors of 2\/z + p\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 78 - 76. Let z be (-14)\/(-12) - w\/3. What is the nearest to -2\/7 in z, 1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -423 - 5?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -m**4\/4 + 40*m**3\/3 - 14*m**2 - m. Is 16 a factor of w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 7:21 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from buiih. Give prob of sequence hi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207411522.\nAnswer: 2, 3, 83, 109, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1966349 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91, 88, 73, 40, -17, -104?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 255 = -4*g, -547*f - 2*g + 3*g + 45 = -550*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 10, t: 4}. Give prob of sequence qt.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 9:38 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**3 + 2*w**3 - 5*w**3 - 6*w**3 - 6*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*5 - 3*sqrt(5)*4)**2*-6 - (1*sqrt(880))\/(sqrt(1100)*3).\nAnswer: -1470 - 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 54, 104, 184, 300, 458?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29\/6 + -62\/15. Let h = -1039\/180 + 56\/9. Let f = h - j. Which is smaller: 2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 + 11*v - 8. Let p be b(9). Let l = 358\/5 + p. Is l <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - n**3 + (-4*n**2 + 5*n**2 + 0*n**2)*(-3 - 2 + 6)*(-2*n + 0*n + 0*n + (0*n - 4*n + 3*n)*(5 + 1 - 5) - 3 - 2*n + 3 + 1407*n - 2354 + 2354).\nAnswer: 1401*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 6)*(3*r - 2*r - 2*r)*(0 - 1 + 2*r - 3*r) + (5*r**2 - 5*r**2 + 2*r**2)*(-4 + 0 + 6) + 3*r**2 - 2*r**2 + 0*r**2.\nAnswer: 8*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 1) + 15 + 2 + -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80272434?\nAnswer: 2, 3, 11, 1216249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 241233 - 3?\nAnswer: 241230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0271496 - -0.0269. What is h rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4618*b**2*o - 2*b**2 + 7*b*o + 3*b + 12668639*o wrt b.\nAnswer: -9236*b*o - 4*b + 7*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 237231331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/18 and -91\/804.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/12)\/((-354330)\/68580).\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -3*g - 70, 4*g + 0*q = -3*q - 74. Let f = -18 - g. What is the common denominator of (((-4)\/(-14))\/f)\/(2\/(-66)) and -67\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -12. Suppose t*k - 71 - 31 = 0. Suppose 3*m - 26 = k. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 69 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -255137 at most as big as -254723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 61, 0, -0.5, -0.4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.25 in 1\/3, 4\/7, 2\/19, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*w**3 - 182364*w**2 + 1094076*w - 1641060 = 0. What is w?\nAnswer: 3, 45585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g = -8*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8252648.7 rounded to the nearest 10000?\nAnswer: 8250000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -4*g**3 - 16*g**2 + 4*g. Let m(j) = j**3 - j. Determine c(z) + 2*m(z).\nAnswer: -2*z**3 - 16*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -135583.\nAnswer: 135583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/11528 and -57\/14410.\nAnswer: 57640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 890\/266 + -2 + (18\/126)\/(4\/(-20)).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*s = 41*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 91\/455*5\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 - 4*c - 2. Calculate k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r - 20. Let j be z(13). Calculate the highest common factor of j and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 344640*s.\nAnswer: 2*s*(s - 172320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0\/(-2))\/(3 - 6). Let t be v - -4 - 0\/2. Solve t*a = -h - 7, h + 1 = 5*a + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -3, 13, 51, 117, 217, 357?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 48\/20)\/(4\/20). Find the second derivative of 70*v - 21*v**y + 10*v**2 - 23*v wrt v.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, w: 7, y: 1, u: 1, e: 5, p: 2}. Give prob of picking 1 u and 3 w.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 394 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - (7 - 12))*(0 + -1). Let d be y\/((-5)\/(-5 - -85)). Sort d, -5, -3 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*o + 51*o + 24. Calculate the greatest common factor of o and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(1\/9)\/s)\/s)**(-49)\/(s\/(s*s**11\/s))**49 assuming s is positive.\nAnswer: s**(4802\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 2)*(2199*a + 9592*a + 2910*a) to the form o*a + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 59*f**3 + 313*f**2 + 371*f + 40. Let n(k) = 58*k**3 + 314*k**2 + 362*k + 40. Let s(j) = -7*n(j) + 6*v(j). Factor s(x).\nAnswer: -4*(x + 1)*(x + 5)*(13*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81494 by 296.\nAnswer: 40747\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 6. Suppose 5*x = -4*f + 159, -6*x + 3*x + 121 = -u*f. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-156)\/(-36)*15*6\/(-30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 3:07 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 10:50 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -677*a**5*r - 3*a**3*r**3 - a**3 + 25*a**2*r**3 - 3*a**2*r + a*r - 20 wrt a?\nAnswer: -40620*a**2*r - 18*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6568 > 1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 0 + 12 + -16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118 and 4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**3 + x**3 - 3*x**3)*(0 - x + 0) + 7*x**3 - 7*x**3 - 4*x**4 - x**4 + 3*x**4 + 0*x**4 + 7*x**4 + 3*x**4 - x**4 - 8*x**4 - 18*x**4 - 2*x**4.\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1696\/69 >= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 238415?\nAnswer: 5, 41, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 204445497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 - 12*h - 2 + 12*h - 3*h**3 + (5*h**3 + 4*h**3 - 5*h**3)*(5 + 0 - 4).\nAnswer: h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 80, 75, 68, 59?\n\"Answer: -v**2 - 2*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c - 34 = 36. Let m be (1723\/c)\/((-52)\/(-2410)). Let b = -7985 - m. Find the common denominator of b and 39\/7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) -1\/5  (c) -1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5912091 divided by -3\nAnswer: 1970697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179071 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-4))\/(80*8\/320).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 414143445 (base 6) to base 12\nAnswer: 24b1b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 8:49 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -f**3\/3 - f**2\/2 + 10*f - 4. What are the prime factors of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(36\/399) + -4. Let h = r - -49. Factor -h*i**3 + 0 - 2\/9*i - 2\/3*i**2 - 2\/9*i**4.\nAnswer: -2*i*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 6 = -108. Let j(z) = z**2 - 9*z - 8. Let h be j(10). Let d = x - h. Calculate the remainder when 49 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**3 + 768*i**2 - 1538*i - 19. Give w(-258).\nAnswer: -2599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-704)\/20 + 3\/15. Let l be 2\/(-5) - 994\/m. Let c be (0 + -18)*(-7)\/3. Calculate the greatest common factor of l and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12689009 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - -88. Let r = x - 95.2. Let n(m) = m - 2. Let u be n(0). Which is the biggest value?  (a) -0.3  (b) -3  (c) r  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - 9 - -44) + -35 - 38.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -107, 5 in decreasing order.\nAnswer: 5, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-18)*(-2 + -1). Let a = -6 - -4. Let j = -0.4 + 0. What is the closest to -0.1 in t, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4078261?\nAnswer: 11, 229, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:31 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 133062 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddcc when four letters picked without replacement from wwdccwdccdwcccd.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.97 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -234 divided by 5?\nAnswer: -234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x**2 + x - x)*((2*x - x + 4*x)*(-2 - 1 + 4) + 13*x - 10*x + 8*x) - 31*x**3 + 3*x**3 + 13*x**3 as n*x**2 + d*x**3 + k*x + p and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 424*h - 27964. Calculate i(66).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91225, -363597, -817551, -1453087?\nAnswer: -2270205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -1090*t**4 + 945*t + 933. What is the first derivative of g(p) wrt p?\nAnswer: -13080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012055 to five dps.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 247558 divided by 244?\nAnswer: 123779\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -141\/1146794 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 3*g**2 + 7*g + 8. Let w be r(4). Solve 0*h + c = 4*h - 11, -w = -4*h + 4*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 19*n**2\/2 - 1017*n - 15801. Give l(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(1 + (-9)\/6). Let x = m - -2. Suppose -8 - x = -3*k. Solve -3*n = 7 - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 12*w**2 + w + 6. Let a(f) = f**3 - 6*f**2 + 3. Calculate -5*a(j) + 3*m(j).\nAnswer: -2*j**3 - 6*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23521 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 1\/720*g**6 + 0*g**4 - 1\/120*g**5 + 0*g + 9*g**2 + 1\/9*g**3 + 0. Find j, given that i(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132630 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2425150 is divided by 121253.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1772 + 2483. Calculate the highest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45.9822 - 46. What is c rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**3 - 2688*o**4 - 5*o + 2663*o**4 + 4*o**2 + 3*o + 0*o**3 + 4 as t*o**2 + b*o**4 + g*o + j + m*o**3 and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*p = -4729 + 4542 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -42034, -84451, -126868, -169285?\n\"Answer: -42417*w + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 12675902.4 minutes?\nAnswer: 1257.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/40*(-30)\/12)\/((-2)\/(-96))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from bbbbbblbblbbbl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11329, 11328, 11327, 11326, 11325, 11324?\n\"Answer: -s + 11330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 - -25. Suppose -x + 2*s + 80 = 0, c = -2*x + x - 2*s + 72. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-9)*(-6)\/16*(-32)\/(-240)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.224813km?\nAnswer: 22481.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is a7 (base 12) in base 2?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024550215 (base 6) in base 16?\nAnswer: a5db83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2557 a factor of 1636216629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/19, 5, -7, 2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 28891*b**2. Let v(w) = 172*w. Give i(v(y)).\nAnswer: 854711344*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1766 + -1768. Which is the second smallest value?  (a) 5  (b) s  (c) -3\/617\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 PM and 10:57 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f**3 - f**3 + 4*f**3 - 12*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**8\/108 - l**7\/35 - 11*l**6\/108 + l**5\/18 + 41*l**4\/108 + 4*l**3\/9 + 169*l**2. Find d such that m(d) = 0.\nAnswer: -1, -4\/7, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-28))\/(2\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**3)**(1\/2)\/((f*f**(-3\/4))\/f)**(1\/2) assuming f is positive.\nAnswer: f**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -110  (b) -165  (c) -506\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xfxxoxxfxff. What is prob of sequence xfxo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 5827 = 5803. Let a(p) = -p**2 - 15*p + 3. Let h be a(-15). Solve b*j = -4*d, -h*d = d + 4*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q**4 - q**3 + q**3 + (0 + 0 - q)*(q**3 + q**3 + 0*q**3) + 1007*q**2 - 108*q**4 - 1007*q**2 as u*q**4 + h*q**3 + i + s*q**2 + f*q and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9524.51 - -9590. Round r to zero decimal places.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -6*h**2 - 88*h - 496. Let y(a) = 2*a**2 + 30*a + 165. Let j(w) = -3*c(w) - 10*y(w). Find u such that j(u) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 231\/(-77)*(-5)\/(5\/9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 11:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 215 and 774.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 29\/((0 + 21\/14)\/3). Is n < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204862696 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: Express -k**4 - 45*k**3 - 3*k - 4*k**3 - 2*k**4 + 2 + 32*k**3 as u*k + l*k**2 + p + c*k**4 + n*k**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 34 + 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3))**(3\/8)\/((m\/m**(-2\/9)*m)\/(m**(-4)\/m)) assuming m is positive.\nAnswer: m**(-601\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 169\/3 + -57. Suppose 4*h - 13 = 2*s + 1, -h = -2*s + 4. Let r = -7 + h. Is r less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**3 + 33*n**2 + 19*n - 22. Calculate the smallest common multiple of 3240 and q(17).\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62*k**2 + 176*k**2 - 80*k**2)*(-10 + 10 + 19*k**3)*(0 - 3 + 4).\nAnswer: 646*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-9))\/((-192)\/(-1440)) - 582\/(-9). What is the highest common divisor of 84 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44 - 12027*g + 12028*g + 2896*g**4 + 227 - 17*g**2 + 19*g**2 wrt g?\nAnswer: 69504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 967 a factor of 6075661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 + 173\/4. Which is the nearest to 1?  (a) y  (b) -17  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**3. Let f be v(0). Suppose f = -7*p - 5 + 26. Solve -4*y + 2 = -p*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73768603 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 133478117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 3162*g - 2447*g + 4798*g)*(1 - 1 + 5*g**3)*(1 - 5 + 3)*(g + 5 - 5).\nAnswer: 4055*g**5 - 40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 832*x**3 + 18*x**2 - 11*x - 19. Let y be q(-19). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**3 + 2*p + 1. Let y(b) = -95*b**3 + 22*b + 195. Let f(r) = -22*m(r) + 2*y(r). What is the first derivative of f(i) wrt i?\nAnswer: -702*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23555746?\nAnswer: 2, 79, 149087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(-36))\/(21*(-4)\/2628) and -53\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 848 and 87728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrrr. What is prob of sequence rr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*i + 7449 = 90*i + 57*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-140)\/196)\/((-5)\/(-6)))\/((578\/2261)\/(-34)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**9)\/w)**(-2\/3)\/(((w\/w**14)\/w)\/(w**(1\/11)\/w)) assuming w is positive.\nAnswer: w**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 2*f + 74, f - 43 = -b - 0*f. Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/9300238 and -51\/9578.\nAnswer: 9300238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*a - 8. Let n be (4\/12)\/(a\/(-6)). Let r = 1 + n. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 3\/2, -3, 0, -199, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + l**2 - 3*l**2)*(-3 + 2 + 2) + (-6 + 4 + 4)*(l + l + 0*l)*(-7*l + 0*l - 2*l).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*4\/(-8) + (-42)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(1 + 3 - 2)*((5*u**2 + 3*u**2 - 6*u**2)*(2*u - 2*u + 3*u) - 4*u**2 + 4*u**2 + u**3).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10000110000001001100 (base 2) to base 10\nAnswer: -548940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 12 = -2*y - 8, -12 = 3*q. Solve y*f + 4 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65 + -77 - (6 - -3)) + 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 4:54 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**3\/3 + 6*o**2 - 12*o - 621. Suppose k + 11 = 5*w - 44, -5*k = -3*w + 33. Let y be h(w). Let a(t) = 6*t**2. What is a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 39, 518, 1827, 4380, 8591, 14874, 23643?\n\"Answer: 69*q**3 + q**2 - 7*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 2, 0 in descending order.\nAnswer: 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 5:48 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 838.\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-228)\/304)\/(18\/(-16) + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/2130 and 73\/36.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 20. Let j be (10\/v)\/((-10)\/(-15)). What is the third derivative of j*o**5 + 34*o**3 - 34*o**3 + 5*o**2 wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*z*z**13\/z*z*z\/z**(-4))\/(z**(-9)\/(z\/((z\/(z\/((((z**(-11)\/z)\/z)\/z)\/z)))\/z))) assuming z is positive.\nAnswer: z**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*t**3*v - t**3 + 943*t**2*v - 3037*t - 413*v + 2 wrt v.\nAnswer: 2*t**3 + 943*t**2 - 413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2 = 0, -2*s = z + s - 28. What is the derivative of -2*y**2 - 11 - 16 - 5 + 26*y - z wrt y?\nAnswer: -4*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 5\/254469034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12397940 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 - 5*l**2 + 5*l**2)*(9 - 9 + 8*l).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1056701 is divided by 527939?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 220 divide 517867240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7350)\/15960)\/(14*5\/(-80))?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.27 and -0.14.\nAnswer: -0.1778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007173 to 6 dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*z - 97 = 0, 3*z - 8*z - 54 = -v. Suppose -x - u - 84 = -162, -3*x = -4*u - 213. What is the remainder when x is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 200473, 801709, 1803713, 3206485, 5010025, 7214333?\nAnswer: 9819409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1555 divided by -5\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4796 and 4626.\nAnswer: 11093148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (121 - 47 + 103)*(0*j + 0*j - j)*(-3 - 3 + 4).\nAnswer: 354*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + (7 - (4 - 19 - 87)) + -21.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 9 - 24*a - 17 - 10.\nAnswer: -24*a - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 659169 = 107*r - 3967529 + 345735. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (17 - 15)*(-5)\/(-50). What is the nearest to 2\/961 in -5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.067 - 6.867. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(425))*-5 + (0 + (sqrt(425) + 2 - sqrt(425)) - sqrt(425)) + 5*(sqrt(425) + 0 + sqrt(425) + -5) + -1)**2.\nAnswer: -760*sqrt(17) + 7161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -7*t**5\/60 - t**4\/4 - 2*t**3\/3 - t**2. Let y be n(-5). Let c = y + 216. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 - 13*v**2 - 41 + (6*v - 7*v - 38*v)*(-9 - 3*v + 9) to the form a*v**2 + f + d*v and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -124580784\/13 bigger than -9583137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 34.78349l?\nAnswer: 34783.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.505 and 4.3998.\nAnswer: -15.421299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -43*a**3 - 3*a + 3. Let z(t) = 86*t**3 + 5*t - 5. Give -10*k(j) - 6*z(j).\nAnswer: -86*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 2*n - 15 - 267, -r = n - 67. Calculate the remainder when r is divided by (-8)\/2*(-11)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of -f**4\/12 + f**3\/2 - 3*f**2 - 8*f - 2. Give u(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242*b**5 + 599566*b**4 - 20247088*b**3 + 205583184*b**2 - 598573152*b + 527189472 = 0. What is b?\nAnswer: -2511, 2, 162\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -14, -1818, -4\/5?\nAnswer: -1818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 2*f**2 + 4*f + 3. Let h be w(-3). Let y = 4 - h. Factor 4*v + v**3 - v - y*v.\nAnswer: v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 14454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4079012 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + i**2 - i + 1. Let g(d) = 5*d**3 - 4*d**2 + d - 2. Suppose -5*z + 6 = 1. Suppose 7*j + 17 = 45. Give j*p(n) + z*g(n).\nAnswer: n**3 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 h when four letters picked without replacement from hqhhqqqhhqqh?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101101111 - 10100010100?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 11488936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -j**4\/12 + j. Let w(t) = t. Let y(h) = 2*h. Let g(p) = -3*w(p) + 2*y(p). What is g(c(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 1:56 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1443127 is divided by 3505?\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**3 + 3*l**2\/2 - 10. Suppose z(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2. Let b(y) = 3*y**2 + 40. Calculate f(b(p)).\nAnswer: 9*p**4 + 240*p**2 + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from ggbgbgbbggggggbbbgg.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 7:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147332409?\nAnswer: 3, 7, 37, 189617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kvqqiqqqkqkqaikkvq. Give prob of sequence kv.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 192255193 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 104 + -53b1?\nAnswer: -52a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 981.4?  (a) -1  (b) 495  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -1\/10  (c) -3.89674  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -1400*s. Let r(i) = 2*i - 7. Let m be r(7). Suppose -m = 5*b - 2. Let t be z(b). Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -343*q - 1. Let p(i) = -i. Calculate p(s(w)).\nAnswer: 343*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.210584 take away 202200?\nAnswer: -202200.210584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + x. Let t(d) = -2*d**3 - 2*d**2 - 149*d. What is -2*f(w) - t(w)?\nAnswer: 2*w**3 + 147*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -903*f + 25279. Give i(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -15*u + 102. Let g be l(7). What is the closest to -3\/5 in g, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -25*m + 74. Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.64216 weeks in milliseconds?\nAnswer: 43933978368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1229, -2050, -2881, -3728, -4597, -5494, -6425, -7396?\n\"Answer: -m**3 + m**2 - 817*m - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/m**35*m**(-1\/29) assuming m is positive.\nAnswer: m**(-987\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - (41796\/45)\/(-43).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75 + 44. Let p(d) = d + 24. Let w be p(j). Let y be 1 - (-5)\/w - 57\/126. What is the second smallest value in y, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -5*i**2 + 6*i - 3. Determine u(5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + ((sqrt(2736) + -5)*-1)**2)*-6.\nAnswer: -16591 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6154\/1605 - -75\/107. Calculate the common denominator of -13\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 7*h**2 + 8*h - 8. Let b be 3\/4 + (-152)\/32. What is the remainder when 15 is divided by w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**2 + 35*t - 2*t**2 + 0*t**2.\nAnswer: -2*t**2 + 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 106039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand n + n**5 + 4 - 3*n + n + 2*n**5 - 3 + 3 + (-2*n - 2*n**3 + 2*n)*(n**2 - 2*n**2 - n**2).\nAnswer: 7*n**5 - n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 48 = 4*u, 13*b - 5*b + 2*u = 112. Let n = -3 + 6. Suppose n*r = 203 + 133. Calculate the highest common factor of r and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.34 * 0.4.\nAnswer: -0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39 and 387066?\nAnswer: 5031858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 a factor of 1481716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.231928 to two dps.\nAnswer: -18.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -253 + 252. Which is the closest to -2\/7?  (a) -5  (b) -3  (c) -4  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 492.3044 to 1 dp.\nAnswer: 492.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3069 is divided by 1533.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - 4*r**2 - 2*r**2)*(2 - 2 + 3*r**2) - 6*r**2 + 6*r**2 + 2*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1290)\/(-60))\/43 - (-9)\/(-2). Let d(g) = -6*g**2 + g. Let s(p) = 11*p**2 - 2*p. What is h*s(w) - 9*d(w)?\nAnswer: 10*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24450 and 1420980.\nAnswer: 1158098700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**2. Let x be ((-45)\/21 - -3)\/(6\/21). Let y(r) = -2*r + x*r - 3*r. Calculate y(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 4*f = 3*f - 102. What is the least common multiple of f and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11050574 >= 11050572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 173460659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -316659, -1266635, -2849929, -5066541, -7916471?\nAnswer: -11399719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(44)*2*-2 + (sqrt(264) - -3*sqrt(264)*2)\/sqrt(6) + -3.\nAnswer: -34*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 438221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -46*r**2 - 13*r + 37. Let h be w(5). Let i = h - -88352\/75. Is 0 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 726654 and 12714?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*y + y + y + (5 + 1 - 4)*(5*y - 4*y + 4*y) + y + y - y - y + 1 - 1 to d*y + j and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d - 6. Let w be t(-10). Let m = -31 + w. Suppose n + 1 = -f + m, -4*f + 4*n + 80 = 0. Calculate the highest common divisor of 128 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**3\/3 + 17*x**2\/2 - 22*x - 23. Give m(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10101101 (base 2) to base 14\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 578*q - 985*q = -7733 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 125*o - 10. Let t(d) = 14*d - 1. Let v(i) = 4*j(i) - 35*t(i). Let k be v(6). Calculate the greatest common divisor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -52*f**6\/3 - 123*f**2\/2 + 90. Find the second derivative of a(p) wrt p.\nAnswer: -2080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 252*u - 77*u - 5024075. List the prime factors of u.\nAnswer: 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v - 1 + 6*v - 2*v + 6*v - 2*v - 2*v + (0 - 4 + 3)*(3*v + 0*v - 2*v) + 206*v + 841*v + 67*v to the form m*v + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10273377 (base 9) in base 4?\nAnswer: -102320113312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 768892.\nAnswer: 384446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4684?\nAnswer: -4684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -412 - -402. What is the nearest to -6 in -3\/4, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50202677 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 7163 = 2*u + 5799, w + u - 4329 = 0. Is 46 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-5)\/(140\/(-24)))\/((-444)\/(-4144)). Solve -5*w + 9*w = -v, 3*u = 3*w + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25110 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -309.44 - -300. Let x = 9.5 + n. What is x rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*n = -51*n - 36*n - 122*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*p**3 + 7*p**2 + 396710*p - 7562506 wrt p.\nAnswer: -9*p**2 + 14*p + 396710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 42\/5. What is the second biggest value in -5, q, -3, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -487 (base 9) to base 8.\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*l + 54*l - 1598 = 7*l + 97*l for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -658 + -77?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -90*m + 413 + 62 + 515 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -593.145 or -1?\nAnswer: -593.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111100210222 (base 3) to base 7.\nAnswer: -2143601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m. Suppose h + 10 + 49 = 2*z, -5*z - 2*h = -170. Let i = 34 - z. Let k(o) = -63 - 73 + 7*o**i + 136. Calculate l(k(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 12. Let a be (j\/138)\/((-20)\/(-30)). Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/12 and 3 + 345\/(-36) + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68358\/(-36)*(4 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129980.\nAnswer: 2, 5, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 - 399*y + 402.\nAnswer: -3*(y - 1)*(y + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 133720146 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0 + 2 + 1 - 5 - 1 - 3 + 2 + 1 - 2 + 2 + (-1 + 1 + 2)*(-4 + 4 + 2) + 3 - 1 - 1 - 4 + 5 - 3)*(-805*m + 107*m - 50*m).\nAnswer: -748*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 + 33 = -26*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100021 - 10?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 42 = 19*n - 22*n, -3*n = 3*l - 57. Let c be n + -1 + -1 + (-3 - 2). Let v(f) = f - 4. Let w(j) = -2*j + 9. What is c*v(p) + 4*w(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 3*c + 2*i, 21 = -c + 4*i + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5903945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62 - -62.07. Let o = z - 103.07. Let u = o + 102.999842. What is u rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 19aa44?\nAnswer: -19aa41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**3\/7 - 20646*u**2\/7 - 20625*u = 0. Calculate u.\nAnswer: -6875, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 65387.91ns?\nAnswer: 0.06538791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/44853 + -2885609\/1480149. Let r = y - -5245\/2871. Let c = 10\/29 + r. Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 261 + -267. Let h be (-2)\/305*117\/2. Let q = h - 1\/61. What is the third biggest value in 1\/2, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p + 1. Let j be g(2). Let a = 5 - j. Suppose 0*z - 8 = -z - b, 2*z + 4*b - 14 = a. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 0.2  (c) -20  (d) 0.4  (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10, v: 4}. Give prob of picking 3 h.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1121222200 (base 3) to base 5.\nAnswer: 2011232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(9)*-4 - sqrt(9))*-2 - sqrt(9))\/(1*sqrt(75))*-3.\nAnswer: -27*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 925292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/((-588)\/(-32)))\/(28\/(-42))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 3*m - 20 = 4*h, -3*m + 2*h = -13. Suppose j = -2*j - m. Is 6 a factor of -69*((-1)\/(-3))\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 14994590.\nAnswer: -3\/14994590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*a**2 - 9*a**2 - 17*a**2 - 11*a**2 + 2*a**3 as n*a**3 + y + x*a**2 + p*a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 166?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10694 + -5740. Let o = y - 321977\/65. Find the common denominator of 113\/10 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + 7. Let b = -7 + a. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 22*k - 164. Give s(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 847748705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 259.9 and 0.2.\nAnswer: 260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 - (-15 - -26 - 21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (4 + -4 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 1.7, -5, 0.23, -2664?\nAnswer: -2664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) + 0)*5)**2*5 - -1*(sqrt(20)*-3 - (sqrt(5) + 1)*-3).\nAnswer: -3*sqrt(5) + 40003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i - 4*i + 2*i + (-2*i + 1 - 1)*(-4 + 0 + 2) + 2*i - 2*i - i + 2 to the form u*i + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40977, 0, 9425.\nAnswer: 0, 9425, 40977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2000384 is divided by 500093.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v + 2 + 0*v + v. Let r = -21 - -22. Let o be 1\/r + 6\/3. Determine k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/((-27)\/(-6)))\/(6\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 - 16*u. Let b(w) = 125*w - 2. What is h(b(n))?\nAnswer: 31250*n**2 - 3000*n + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -978 = -229*b + 3831. Solve b = -h + 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 1:19 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3779, 15127, 34037, 60509, 94543?\nAnswer: 136139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114727319.\nAnswer: 7, 89, 184153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -0.5, 5, -1\/10, 61593, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2. Let f(q) = -1161*q. Calculate x(f(o)).\nAnswer: 1347921*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4268 and 4268.\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -5*d - 1 + 13, -4*d - 5*j + 3 = 0. Solve -2*n = a, -d*n = -a + 6*a + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s**2 - 10*s**2 - 37*s**2 - 25*s**2 + 48*s**2.\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l + 455 = 6*l. Let u = l + 153. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (426*l**2 + 492*l**2 + 330*l**2)*(4*l + 2*l**2 - 4*l)*(1 - 2 + 0).\nAnswer: -2496*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + sqrt(1573) + -1 - ((sqrt(52))**2 + -4).\nAnswer: -49 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13359196?\nAnswer: 2, 1289, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-6\/13)*m\/(m*m**(1\/7)*m)*m*m)\/(m*m**8*m\/(m**8*m)) assuming m is positive.\nAnswer: m**(-55\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -119 or -3540?\nAnswer: -3540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 112912 + -73413. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/795 and -109\/336126.\nAnswer: 1680630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 336581 divided by -20?\nAnswer: -336581\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96 + 67 + 29 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3418, -6832, -10222, -13576, -16882, -20128, -23302?\n\"Answer: 2*s**3 - 3428*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1240 divided by 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -276300120 divided by 50884?\nAnswer: -5430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m**2 - 5*m**2 + m + 2898*m**3 + 0*m**2 - 2895*m**3 to r + j*m + p*m**2 + o*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -21588272.1 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 31*t**2 - 2*t - 36. Calculate j(-31).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 15*c**2 + 13*c + 13. Suppose -s + d = -15, 17 = -12*s + 13*s - 3*d. Calculate o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {h: 1, n: 4, s: 4, l: 2}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15864651 is divided by 360560?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1271 and 275528.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 7:53 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/15)\/(((-54)\/(-10))\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t + 7. Let l be (50\/15)\/((-4)\/6). What is u(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 11:09 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18269 + 19404. What is the remainder when h is divided by 381?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 240*r**2 - 94*r**2 - 2*r + 3*r**3 - 76*r**2 - 1250*r**4 - 69*r**2 to the form x*r**2 + m*r**4 + h + c*r + a*r**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -17, 5293, 65 in ascending order.\nAnswer: -17, -3, 1, 65, 5293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-1 - 4 - -7 - -1) - -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (4 + -4 + (-7 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-16)\/(-6))\/(20\/(-150)). Let m = p + 23. Suppose -i = -m*i + 422. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) 4  (c) 0  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(29\/2))\/j**41 assuming j is positive.\nAnswer: j**(-109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 4*f - 40, f + 22 = 2*x + 5*f. Suppose 0 = -5*c - x - 46. Sort c, 5, -4 in descending order.\nAnswer: 5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*d**3)*((1 - 2 - 1)*(4*d - d + 2*d) - 6 + 6 + 9*d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -432157, -432113, -432065, -432013, -431957?\nAnswer: -431897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d + 7*d + 139 = 7 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 2 - (2 + -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 4:44 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -6. Let f(l) = -l + i*l**2 + 4*l - 3*l. Let q(n) = 3*n**2. Calculate q(f(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36310 divided by -3631.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (4 - 0) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/9  (b) -10  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35364 divided by -5052.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36585, 36570, 36547, 36510, 36453?\n\"Answer: -y**3 + 2*y**2 - 14*y + 36598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -17571181441?\nAnswer: 17571181441.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75006 + 75003. Let k = -57\/2 - -29. What is the closest to k in h, -1\/28, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4813511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1202 (base 6) to base 14.\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 602.9368mm in micrometers?\nAnswer: 602936.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 435 = 18*b - 2 - 49. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**15\/(z*z\/(z\/(z*(z**(1\/5)\/z)\/z))) assuming z is positive.\nAnswer: z**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of -l + 0*l**3 - 1\/12*l**4 + 0*l**2 + 0. Let o(g) be the third derivative of 7*g**5\/30 + 52*g**2 + 1573. Give o(y(d)).\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4611 + 31952\/7. Suppose -13*n - 138 = -10*n. Let w = n - t. What is the common denominator of w and -34\/23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*a + 33 = 0, 2*f - 2*a + 54 = 4*f. Suppose -5*z + 3*s = -40, 3*z - 6*s = -s + 24. Suppose z*y = 6*y + f. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 489 and 2626093.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-192)\/(-72)*45\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -373163 + 1726?\nAnswer: -371437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 56714, 113425, 170142, 226865, 283594, 340329, 397070?\n\"Answer: 3*p**2 + 56702*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17411211091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 11810180 = -i + 11589821, 4*i - 2*u = 93599998. Suppose g - i = -2*g. Round g to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4\/3  (b) 0.3  (c) -0.4  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*r + 8 = 0, 5*r + 9 = -2*l - 11. Suppose -o - 4 = 0, l*o - o = 5*z - 196. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42294, -84593, -126892, -169191?\nAnswer: -211490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -6325\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(832)*-2 - (sqrt(832) - ((1*sqrt(832) - sqrt(832) - sqrt(832)) + 0 + sqrt(832)))) + (-4 + sqrt(832) + -5 + sqrt(832))*-5)**2.\nAnswer: -3600*sqrt(13) + 22825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -8, 31, 106, 229, 412?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to -4748\/5693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*h + 58*h = 44*h + 2538 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -63503909*n**4 - 427*n**2 - 23*n - 13.\nAnswer: -1524093816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 4:20 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 33\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 15 + 3*g**3 + 5*g**3 + 5*g**2 + 7*g - 7*g. Let f(r) = -r**3 + r**2 + 1. Let z(a) = 5*f(a) - h(a). What is the derivative of z(n) wrt n?\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*r**3 + 117\/2*r**4 - 147\/4*r - 105\/2*r**2 + 27\/4*r**5 - 6 = 0.\nAnswer: -8, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*t**4 - 69147580*t**3 - 239069321845230*t**2 + 478138851133220*t - 239069460140405 = 0. Calculate t.\nAnswer: -6914759, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 360\/210 - (2 - (-16)\/(-7)). Let y(d) be the first derivative of 6\/5*d - 8\/15*d**3 - 1 - 11\/5*d**r. Factor y(h).\nAnswer: -2*(h + 3)*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2044222861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*w = 59*w + 220. What is the second derivative of -11*c - 9*c + w*c**4 + 5*c**4 - 80*c wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 447566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -180025.02 to the nearest 100.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*u + 2. Suppose 3*p + 113 = -4. Let d = 46 + p. Solve d*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**4\/7 + 582459*j**3 + 69313320*j**2\/7 + 228326628*j\/7 + 212017728\/7 = 0.\nAnswer: -13, -2, 1359088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 2)*(1 - -138)*336\/192. Sort 5, a, -3, -5 in decreasing order.\nAnswer: a, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3. Let u(w) = -13*w + 8. Let n(d) = 22*d - 12. Let h(i) = 3*n(i) + 5*u(i). Calculate -2*h(c) + 3*o(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -175.67412 to 2 dps.\nAnswer: -175.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 11*x + 126. Let m be d(-12). Let t be -3 - (-14 - m) - 2. Solve -5*o - 11 = -n, -t*n + n + o - 5 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**2\/8 + 489*l\/8 + 123\/2 = 0. What is l?\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/422619 and 41\/25638886?\nAnswer: 76916658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/7)\/(12\/42*3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tece when four letters picked without replacement from {e: 2, a: 2, m: 2, c: 1, k: 1, t: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 95570 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + b = -516. Let o = -99 + b. Suppose -o*z + 71*z = -3118. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14\/1339 or 0.4?\nAnswer: -14\/1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q + 1. Let g be v(1). Suppose -29 = g*j + 34. Find the common denominator of j and 6 + 143\/(-13) - (-14)\/(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dmrhyihyyhiyyi. Give prob of picking 1 d and 1 y.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - o - 3)*(-236*o**3 - 155*o**3 + 237*o**3)*(-8 + 8 - 3*o).\nAnswer: -462*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 131, 295, 461, 629, 799, 971, 1145?\n\"Answer: b**2 + 161*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 - 3*f**2 - 2*f - 1. Let x be p(-3). Let k(v) = 4*v - 1. List the prime factors of k(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 8, g: 6, m: 3}. Give prob of picking 2 v and 1 g.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f + 36. Give m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 19. Let m(t) = -2*t**3 + t**2 - 7*t + 8. Let g be m(4). Let d be (-345)\/(-46)*g\/(-10). Calculate the highest common divisor of o and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 6\/(-4))*(-8900)\/(-3115). Solve -6 = 8*i + g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 5931177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wqz when three letters picked without replacement from ahhhrhqahzzhqwzhh?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, b: 2, o: 1, w: 1}. What is prob of sequence bnw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/3 - 3971*n\/3 - 1324.\nAnswer: (n - 3972)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b - 62*k = -11*b - 12*b - 1818, 0 = 4*b + 4*k - 100 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 5.4. Let z = -2.6 + w. Let x = -868.26 + 867.76. Which is the closest to z?  (a) x  (b) -4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171946463?\nAnswer: 13, 73, 409, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 199, 568, 937, 1306, 1675?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**7\/105 - 2*l**4 + 15*l. Let m(x) be the third derivative of c(x). Let a(u) = 2*u**2. Calculate m(a(g)).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1952000 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 15*m + 1451. Let h(y) = -21*y - 1451. Give 3*h(b) + 4*p(b).\nAnswer: -3*b + 1451","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 232 + -112. What is the highest common divisor of f and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 536*d**4 + 13*d - 6 wrt d?\nAnswer: 6432*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 21*s + 5. Let x(k) = -502*k - 2013. Let m be x(-4). Let v(i) = 442*i + 104. Calculate m*v(p) + 104*d(p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10112 + -11?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 r when four letters picked without replacement from idsdrsrdrrdi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (1 + 1 - (-2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - 4\/2 - -2. Suppose t - 6 + 0 = f, d*f + 15 = 2*t. Solve -2*a = -t*n + 3, 0 = 2*a + 5*n - 8 - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/5*y**3 - 198\/5 + 62\/5*y**2 - 138\/5*y = 0. Calculate y.\nAnswer: -33, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5138 - 2944. Let v = -1514 + f. What are the prime factors of v?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -516*o**5 - 995*o**3 + 25344634*o wrt o.\nAnswer: -10320*o**3 - 5970*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 398*q = -3*z + 397*q - 14, 4*q + 11 = -3*z. Which is the nearest to 5?  (a) 5  (b) -1\/5  (c) 2\/3  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 3, 1\/203.\nAnswer: -0.5, 1\/203, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 23*h = 63. Solve -h*a - 4 - 31 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 3*d - 1. Let x(b) = -5*b**2 - 16*b + 6. Let r(s) = s - 8. Let n be r(10). Let l(v) = n*x(v) + 11*k(v). What is the units digit of l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -534a444 - -5?\nAnswer: -534a43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 103743 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74910496?\nAnswer: 2, 37, 151, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 j, and 1 q when three letters picked without replacement from {q: 2, g: 3, n: 6, j: 2, h: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -5, -3, 2, 1.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fifty-five quarters of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 286 + -775. Let c = d + 1475\/3. Factor -40\/3*u - c - 50\/3*u**2.\nAnswer: -2*(5*u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 2*j**2 - 4*j - 3. Let r be q(-2). Solve 3*p + 1 + r = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -61. Let b = 60 - a. Suppose -4*u + 4*c = 16, -6*u - 4*c + b = -u. Solve 0*z = -z + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-37)\/111*63)\/1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 1594\/867599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 570 - 522. What is the remainder when 1*54 - (2 - (2 + -2)) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*p + 3 = 0, 3 = -n - 3*p + 5*p. Let o be (10 - 1)*(-12)\/(-18). Let l(a) = a**2 - 7*a + 1 + o - 9. Determine l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 40*b**5 + 172*b**4 + 48*b**3 = 0.\nAnswer: -4, -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68 + 70. Find the second derivative of -31*c**2 + 18*c**2 + c**5 + 7 - w*c - 2*c**5 + 11*c**2 wrt c.\nAnswer: -20*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 995*v + 4. Let i(g) = 496*g + 2. Give -2*f(u) + 5*i(u).\nAnswer: 490*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u - 4. Let j(f) = 5*f + 11. Let m(c) = -4*j(c) - 11*t(c). Let k(w) be the first derivative of w**2 - 3. What is m(k(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**4\/10 - 163*c**3\/5 + 1339*c**2\/10 + 3142*c\/5 + 462 = 0?\nAnswer: -330, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -282701\/46 - -6146. Let u = j - -293\/230. Is u greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 56723 = 44*d - 40*d, 4*f - d = 45391. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 4*d**2 - 5*d. Let s be b(4). Calculate the highest common divisor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 3:13 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5718 in -8, 1, 3\/4, 2\/9, 0.162, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 8 + (-3 - -1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 1. Suppose -4 = f*g - 4*g. Let z(h) = h + 10. Let o be z(-6). Solve -i - g = u + 1, o*i + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32147\/16 - -2007. Find the common denominator of o and 145\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12 - p**3 + p**3 + p**3 - 4 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 650*w - 215*w + 9*w**2 - 216*w - 219*w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 516*c + 27337 = -23231 for c.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20 + 4272?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1330146796 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16638527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19683957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35328 = 26*w - 3*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62433500035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -757, -815, -875, -937, -1001, -1067?\n\"Answer: -b**2 - 55*b - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -4.2. Let w = 7.99 - 8. Let q = 2.99 - w. Sort z, -1, q in increasing order.\nAnswer: -1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 6*b**2 - 3*b - 2. Let j be n(5). Let r(c) = -2*c**2 + 10*c + 6. Let a be r(5). Suppose 10*l - a*l = j. Solve l*y = -0*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 956, 1913, 2872, 3833, 4796, 5761?\nAnswer: 6728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 14. Let k = -1 + i. What is the second derivative of -4*u**2 - u + 4*u**k + 4*u**2 - u wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*q**3 + 62*q**3 - 16*q**3 - 21*q**3 - 59*q**3.\nAnswer: -67*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17885120 by -4.\nAnswer: -4471280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 542 - 542 + 46*m in the form q*m + j and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2064*j**4*q**2 - 1395*j**3*q - 3*j**2*q**2 + 3*j*q**2 - j + 558*q**2 - 10*q wrt j.\nAnswer: -49536*j*q**2 - 8370*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Convert -244143 (base 5) to base 4.\nAnswer: -2101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 44 = 2*z. Let a(c) = c + 60. Calculate the remainder when a(46) is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131332 (base 4) to base 12\nAnswer: -113a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2891 not equal to -141682\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587430043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of 0*y**3 + 0*y**2 - 51*y + 0 - 1\/15*y**6 + 13\/20*y**5 + 25\/12*y**4. What is the third derivative of r(i) wrt i?\nAnswer: -48*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m + 2 - 2 + (-85 - 101 + 214)*(72*m + 54*m + 89*m) to the form r*m + i and give r.\nAnswer: 6021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(133) - (-2*((sqrt(133) - 2*sqrt(133)) + sqrt(133)) + sqrt(133)))\/(-1*sqrt(21)\/(sqrt(12)\/sqrt(4))*-6).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69388 is divided by 550.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303326 (base 10) to base 8.\nAnswer: 1120336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 10. Is 3 + 90\/b*-7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/40)\/((-104)\/572)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110755 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320362 + 208*y - 320362.\nAnswer: 208*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 5 + 45*n**2 + 4*n + 0 + 2*n - 44*n**2. What is w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 12) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6420*j - 6417*j = 4*t + 10, 5*t = 5*j - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h\/(h\/(h*h\/h**(24\/7)*h*h)))\/h))**(-5) assuming h is positive.\nAnswer: h**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*o + 31. Suppose -3*t = 6, 2*b - 1 + o = -4*t. Let y be b + (-89)\/(-7) - (-2)\/7. Solve -11*z + 2 = -y*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -137673 divided by -4?\nAnswer: 137673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1421*t**4 - 4*t + 10*t - 18*t**3 - 2538 + 1419*t**4 wrt t.\nAnswer: -8*t**3 - 54*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1131748913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2015 and 4550?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 621 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -173614244 plus -41?\nAnswer: -173614285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*h + 0*h + 4*h)*(2*h**3 + h**3 - h**3) - h**3 + 12276*h**4 - 4*h**2 - 13080*h**4 + 5*h**2 as q*h + p*h**2 + m*h**3 + a + x*h**4 and give x.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5*((-4)\/(-3) - 165\/225). Let g = 47 + -32. Suppose -t*b - 2*b = g, 4*h - b = 55. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 divided by -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) 2\/13  (c) 0.8  (d) 1\/5  (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 194189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4334291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((3\/(-12))\/(-1) - (-2369)\/92) + -4. Solve 3*a - 34 = 2*w - 27, -3*a + 5*w = -v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**2\/2 - 4*v + 66. Let o(j) = 5*j**2. Give a(o(w)).\nAnswer: -5*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0)**24\/(n**(2\/7)*n\/n**6)*(n*(n*n*n**(-4)\/n)\/n*n**(-3))**(-44) assuming n is positive.\nAnswer: n**(1881\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1146, 2150, 3154, 4158, 5162, 6166?\nAnswer: 7170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 5:34 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63990 and 22610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 600 = 7*v - 2*v. Let n be -2 + v - (3 + -5). Calculate the greatest common divisor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 132533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109201 is divided by 94?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2404.9 + -2405. Put 57, b, -0.5 in descending order.\nAnswer: 57, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6859\/8 - 1083\/8*s - 57\/8*s**2 - 1\/8*s**3.\nAnswer: -(s + 19)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*k*x**5 + 15*k*x**2 + 138*x**6 - 24 wrt x.\nAnswer: 1080*k*x**2 + 16560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85*g + 181*g + 114*g - 1 - 152*g to the form c + u*g and give u.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.0177 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1629996340, -1629996341, -1629996342, -1629996343, -1629996344?\n\"Answer: -p - 1629996339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -371, -1462, -3279, -5822, -9091, -13086?\n\"Answer: -363*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 4  (b) -18\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v - 16. Let m be l(10). Suppose 6*h + 2 = m. Find the third derivative of 2*x + 755*x**h - 2*x - 735*x**2 + 17*x**4 wrt x.\nAnswer: 408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) 5  (c) 36\/7  (d) 19  (e) -2\/3  (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of d**2\/2 + 2*d + 33. Let y be n(3). Suppose 9*u = 2*t + 4*u - 25, 0 = y*t + 3*u + 15. Solve t = -2*j + 15 - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50*g**5 + 87672*g**4 - g**2 - 87902436 wrt g?\nAnswer: -3000*g**2 + 2104128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-24)\/(-135) - 6\/15. Let a = -14 + 17. Let r = -557 - -557.4. Sort a, r, d, -1 in descending order.\nAnswer: a, r, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43891195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(1\/6*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13112 or -13034?\nAnswer: -13112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 3, -170284, -6, 0.7, 0.4 in decreasing order.\nAnswer: 3, 0.7, 0.4, 1\/7, -6, -170284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95678 divided by -2.\nAnswer: -47839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 6*o**3 + o**2 - o + 3. Let u(p) = 10*p + 477. Let h be u(-48). Let f(c) = c**3 - c**2 + 1. What is h*f(i) + j(i)?\nAnswer: 3*i**3 + 4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 y when four letters picked without replacement from yywayyymyyyayya.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (1 - 4) - -14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*s + 7. Suppose 3*b + b - s = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 5. Suppose 0*r + z = 4*r - 6, -3*z = 2*r - 10. Suppose r*g - 4*g = 8. Let x(i) = 6*i + 14. What is g*x(l) + 11*d(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t**2 + 15*t - 1. Let s(p) = -2*p**2 - 7*p + 1. Let v(f) = -3*q(f) - 7*s(f). Suppose -9 = -2*c - 1. What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 7*h - 36. Suppose 10 = w + 3*a, 58 = h*w - 8*a + 3*a. Solve -3*i - w = -7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 6424, -0.2, 1\/5, 23, -0.3, -1\/3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, x: 3, f: 1, c: 4, d: 2}. Give prob of sequence fss.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1768 + -1736.04. Let u = 32 - w. Are u and 1.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {n: 3, i: 3, b: 3, z: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - (-1 + -1) - 12. Let z be ((-4)\/(-5) - 1) + (-48)\/n. Solve -1 = -z*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49188759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-3)*-1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (26\/(-5))\/((-38)\/95) + -1. Suppose -s - 15*r + 15 = -n*r, 3*r = s - 45. Suppose o - 8 = 7. Calculate the greatest common factor of s and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(((-18)\/141)\/(-3)). Suppose -3*g - 2*g = -205. Suppose 9 = -r - 2*y + u, g = 2*r - 3*y. Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 14, x: 5}. What is prob of sequence xd?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*c = -76*c + 2520 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2399277347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 239\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-24)\/20)\/(6\/(-15)). Let n be q\/(-4) - 19\/(-4). What is the derivative of -1 - 3*p - 2 + 3*p + p**n wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14fc5e - -7?\nAnswer: -14fc57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 10477*j + 10456*j - 20958*j + 3*j**2 as u + q*j**2 + f*j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13805692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 259.6 - 3.\nAnswer: 256.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (1 - 1264\/112).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*l + 37, 7*l - 9 = 2*l - 4*o. Suppose -5*b = l*c - 90, 37 = 5*b - 2*c - 25. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -73*u - 576. What is z(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35 - 19. Let p = k + -15. Which is the closest to p?  (a) 2\/13  (b) -1  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uummuumummmumu. Give prob of picking 1 u and 1 m.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 45\/19 equal to 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 154*l - 191. Let r be 200\/(-800) - (246\/(-8))\/3. Does 17 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*k - 67 = l, -27020*l + 27024*l = 2*k - 268 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - 14. Let t = 11 - l. What is the highest common divisor of t and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + n + 4. Let x be z(0). Suppose 53*r = 46*r + 14. Solve 2*i + r*i = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**3 - 6*l + 11. Let u(t) = -5*t**3 + 17*t - 33. What is -11*p(a) - 4*u(a)?\nAnswer: -2*a**3 - 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -13*w + 13. Let c be 1 + 2 + -1 - 0. Let r(s) = -2*s - 2*s + 0*s - c*s + 6. Let m(b) = -7*r(b) + 3*z(b). What is the derivative of m(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.5 + 0.5. Let i = 0.062 - 43.062. Let h = -42.9 - i. Which is the closest to -6?  (a) -1  (b) h  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 693 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2658 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26960 - 17068. What is the least common multiple of d and 8?\nAnswer: 19784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -471 - -477. Let g(w) = 2*w - 8. What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -74\/79 - 613\/948. Find the common denominator of h and -111\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -253\/6 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/350482197 and -29\/7.\nAnswer: 2453375379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -86a46741 - 6?\nAnswer: -86a46747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1570 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5791802, -11583616, -17375430?\n\"Answer: -5791814*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*m - 12 = 0, 0 = 3*c - 4*m - 0 - 2. Let s = 18 - 15. Suppose s = u - 0*u. Solve -2*v - c = 0, -5*v = -u*t + t + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 18*f. What is q(-2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 159533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -27 at least as big as -603\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**0)**(-18)\/((c**(-3\/8)*c)\/(c**(-14)*c)) assuming c is positive.\nAnswer: c**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9744*l**2 - 9750*l**2 + 29237*l**2 - 9740*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 12 = 0, -4*o = -4*k + 26 + 18 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1390, -2591, -3792, -4993, -6194?\nAnswer: -7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 6:34 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-592)\/(-11) + (-108)\/(-594). What is the greatest common factor of 351 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/(u\/u**(2\/15))))\/u**(-1\/8))**(-4\/5)\/((u**(2\/5))**(-25))**(-1\/5) assuming u is positive.\nAnswer: u**(-539\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30822104 is divided by 15411032?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l + 34. Let g(t) = -42*t - 93. Let p be g(-2). Determine c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(8)\/(sqrt(12)\/sqrt(3)) + 1*sqrt(242))*-4 + -3)*1*4)**2.\nAnswer: 4608*sqrt(2) + 73872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1194, -9453, -31864, -75501, -147438, -254749, -404508?\nAnswer: -603789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 61, -2, 3, -0.3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -13 + 7\/(35\/15). Let y be 1 - 1 - u\/(-2). Let l = 21\/11 + -303\/55. Are l and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0 - 4 = 0, -4*u - 154 = -2*z. Suppose 3*k - k = -2*c + 78, 5*k - z = -2*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*a = -75 - 927 - 243 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 4)*(4*j**2 - 4*j**2 - 2*j**3) + 2 + 2*j**3 - 2 + 5*j**3 + j**3 + 51*j**3 + (-3*j**2 - 2*j**2 + 6*j**2)*(-12*j + 4*j + 3*j).\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2575459 + 313?\nAnswer: -2575146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 54090.\nAnswer: 1\/27045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -130227156 divided by 38897?\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 115155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o\/o**(-1\/3))*((o**(7\/5)*o)\/o)\/o*o*o*o**(2\/5)*o*o*o\/(o**(-2\/9)*o) assuming o is positive.\nAnswer: o**(211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 4*o**2 + 7*o - 8. Give h(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 8, 0 = a + 4*s + 4 - 8. Suppose -4*d + a = -0*d. Suppose -d*i = 5*f - 52, -6*i - 25 = -2*f - 3*i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 327005*q - 4212965*q + 571485*q - 2426844*q.\nAnswer: -5741319*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -7) + -16 + (21 - -14 - 34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 540 and 3276795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-18))\/(3\/(-81)) - -3. Let j(h) = h**3 + 4*h**2 - 13*h - 7. Let b be j(k). Let m be (b - (-10)\/2)*1. Solve -3*n + m = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/10 + 4961\/8470?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**2 - 588*n - 96. Let h(p) = -3*p**2 + 587*p + 120. Give 4*h(k) + 5*t(k).\nAnswer: 3*k**2 - 592*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108707, -3, -2 in decreasing order.\nAnswer: 108707, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210078 - 738373 = -95*c. List the prime factors of c.\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3114?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 80, 4, -3, 3 in ascending order.\nAnswer: -3, 2, 3, 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**2 + 1612 - 1616 - 4*f**2 + 2*f. Calculate d(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 135*s - 137*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 + 276*o**2 + 274*o.\nAnswer: 2*o*(o + 1)*(o + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -290633*v**5 + 4*v**4 + 50*v + 6167?\nAnswer: -5812660*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-18)*u*u\/u**(-32)*u\/u**4*u*u*u**22 assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - 1 + 1)*(4*h**4 + h**4 - 4*h**4) + (750*h**2 - 4540*h**2 - 375*h**2)*(h**3 + 0*h**3 + 0*h**3).\nAnswer: -4167*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -2*g + 5*g + 102, 0 = h. Let j = g - -22. Let b = -294615\/2 + 883769\/6. Which is bigger: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -210 < -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 79, 5, -38 in descending order.\nAnswer: 79, 5, 2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(2 - 4 + 0)*(-5 + 232*h + 4 - 201*h).\nAnswer: 62*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000189269 rounded to 6 decimal places?\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 14657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/28 and -67\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i**2 + 2*i**2 - i**2 + 0*i**2 - 4*i**2 + 3*i**2 + (0 + 0 + 2*i)*(-2 + 2 + i))*(-11*i + 21*i + 2*i) to a + f*i**2 + v*i**3 + t*i and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 26. Suppose -2 = 3*q - n. Suppose o - r + q*r - 27 = 0, 0 = 2*o - 3*r - 26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2, -2*m - 1 = -5*t + 1. Let k(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 3*f**2 + 21*f - 4. List the prime factors of k(m).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -407, -1871, -4369, -7895, -12443, -18007, -24581, -32159?\n\"Answer: m**3 - 523*m**2 + 98*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of f**4\/6 + f**3\/3 + 134*f**2. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-5\/7))**30 assuming c is positive.\nAnswer: c**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*g = 95*g + 103*g - 2260. Suppose -4*j + 5*b - 15 = 0, -2*b - 2*b + 12 = j. Solve -5*f + j*f = -g, -5*f + 7 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, 0.5, -17, 3, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -741*m**2. Let v(i) = 1403*i. Calculate v(f(q)).\nAnswer: -1039623*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 831067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2931346382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + 0*z - 2*z - 4 - z + 4 + 2 - 2*z - 2 - 2*z - z + 2*z + (2*z + 0*z + 0*z)*(2 - 1 + 1) + 4*z - 5 + 5.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 7*z = 14. Solve 2*y = 3*i + 6, -i = 2*y - z + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446606 >= 446616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.379 - 3.561. Let i = -4.14 - m. Which is the closest to -3\/2?  (a) i  (b) -2\/5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -29.5. Which is the nearest to -1?  (a) 4  (b) 0.4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 8, 3\/5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 991*l**3 + 1063*l**3 - 2052*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.6 - 1.47. What is u rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1515 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-four fifths of a hour?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -4*m - 1, 3*d - 29 = 2*m - 30. Which is bigger: m or 6\/2195?\nAnswer: 6\/2195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8327094294201.700007 + 8327085924215. Let c = y + 8369998. Let g = -11.3 + c. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 457 >= 0.293963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 9*i + 11*i + 7*i to the form k*i + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -412, -848, -1284, -1720, -2156?\nAnswer: -2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1891 divided by -3.\nAnswer: -1891\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8990 - -9206. What is the highest common factor of z and 10908?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 58 + 167. Let o be (3 + -2)\/(-1) + c. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 5:10 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -36524 and -10.\nAnswer: -36534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29.7 + 31. Let f = -1.04 - 1.66. Let n = f - p. Which is the nearest to -0.1?  (a) 2  (b) n  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1514 (base 6) to base 2.\nAnswer: 110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 152.88 and -2.263.\nAnswer: 150.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95, -3, 2, 4, -2, 6177 in descending order.\nAnswer: 6177, 95, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9529*c**2*x - 39*c + 64*x + 139461 with respect to c.\nAnswer: -19058*c*x - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1510 - 21123?\nAnswer: -23033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 7191 + 3741 + 3628)*(3*l**3 - l**2 + l**2).\nAnswer: 6*l**4 + 534*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -9. Let w be 22\/14 - o\/(-21). Factor 0*z + 2\/7*z**w - 2\/7*z**4 + 2\/7*z**3 - 2\/7*z**5 + 0.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**2 + 1569*x - 1. Let r(w) = w - 17. What is r(b(k))?\nAnswer: 2*k**2 + 1569*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 324673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 10:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*m - 17. Let n(q) = 4*q + 2. Determine n(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o - 58. Let z be p(-22). Sort -5, z, 1.\nAnswer: -5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5 = 1. Calculate the greatest common factor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -11011101000110000?\nAnswer: 11011101000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 246771 and 28582349?\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -512*x**6 - 3*x**5 - 849*x**2 wrt x.\nAnswer: -61440*x**3 - 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 207 = -39. Suppose -2*y + 50 = -z. Calculate the remainder when y is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1)*m**(-6)*(m**(-1\/9)*m)**(-1\/18) assuming m is positive.\nAnswer: m**(-571\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*5\/30*2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7318 - 3133. What are the prime factors of o?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - n - 6 = 0. Let t(l) = 3*l - 2*l - l - n*l. Let a(y) = y**2. What is a(t(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from fttftttf?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90*d**5 - 2*d**4 - 537*d**3*q - 199845*d*q wrt d.\nAnswer: 1800*d**3 - 24*d**2 - 3222*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 877854.\nAnswer: 2, 3, 146309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 s, and 1 x when three letters picked without replacement from gsxoi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((648\/513)\/1)\/4*209\/253.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 4*z - 64, -4*i + 4*z + 142 = 3*z. Let r = -1021 - -986. Let l = i + r. Is 1\/85 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-396) + (-52)\/143.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -92, -379, -858, -1529, -2392, -3447?\n\"Answer: -96*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - w - 96. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {h: 1, p: 5, e: 3}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53826 - 24603. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 18 - 27095*c**2 + 27148*c**2 to the form r*c**2 + f*c + x and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 5. Suppose -51 = -81*x + 78*x. Let b = x + j. What is the remainder when 27 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248747\/205 + 3\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -16. Let r(z) = z**2 + z + 3. Let k be r(u). Solve -3*f + k*y = -y + 13, 4*y = 5*f + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*b**4 + 1080*b**3 - 21*b**2 - 846*b - 240 = 0. Calculate b.\nAnswer: -40, -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a88b (base 13) in base 3?\nAnswer: 102100101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**4 + 5135*r**3 + 20475*r**2 + 15345*r.\nAnswer: 5*r*(r + 1)*(r + 3)*(r + 1023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y - 11. Is a(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10976016791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-546)*-7)\/((-1)\/(-108)*9).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -561*x**2 - 65*x - 2*x**3 + 0*x**3 + 1105*x**2 + 0*x**3 - 579*x**2 as z*x**2 + b*x + o + m*x**3 and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5627\/6 - -942. Calculate the common denominator of i and 190\/(-22)*(-1)\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 5*h**2 + 7*h - 6. Let l be a(6). Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 + 2 - (-7 - (-72)\/45). Sort -2, -8, o in decreasing order.\nAnswer: o, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -888 by 37.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1761*r**2 + 1698*r**2 - 3390*r**2)*(3*r - 1 - 2 - 4*r).\nAnswer: -69*r**3 - 207*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.18 - 0.9. Let t = 0.02 + g. Which is the closest to -1?  (a) t  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -114, -2, -1, -5, 1 in ascending order.\nAnswer: -114, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f + 15, -1239*u - 5*f = -1244*u - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/14)*b**(-5)*(b**(2\/9))**23)**36 assuming b is positive.\nAnswer: b**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 3)*(2 + 2*t**4 - 2) + 3570 - 3570 - t**3 + 66*t**4 + 5110*t**4 as z*t**2 + c*t**4 + u + n*t**3 + m*t and give c.\nAnswer: 5174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*k + 33*k + 23*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/3))**(1\/5)\/(a**2*a\/a**(-1\/6)))**8 assuming a is positive.\nAnswer: a**(-388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 + 1)*(106 - 0). Let p = -143 + v. Let y be p\/21*(-577 + 1). Round y to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 22, -5, -25, -77.\nAnswer: -77, -25, -5, -4, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.97559 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 0.5  (c) 29  (d) -1\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -2. Suppose -2*f = -6*f - 4. Which is the nearest to r?  (a) -3\/7  (b) f  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 3*o**2 - 3*o - 4. Let y be t(-3). Suppose -70 = -y*b + 20. Calculate the lowest common multiple of 22 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 140 - 144. Let t be (1 - j) + 1 + -4. Let m(a) = -27*a**t + 16*a**2 - 6*a**2. Let d(r) = -2*r. Determine d(m(u)).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*f - 49 = -u, u = 7*f - 10*f + 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21294.7 + -21295. Which is the closest to -0.02?  (a) w  (b) -0.4  (c) 1  (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 3:13 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/1853442 and -82\/1544535.\nAnswer: 9267210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -8*h**2 + 14*h + 3. Suppose -3*r - 3*m = 18, -11*m = 4*r - 15*m + 24. Let k(s) = -3*s**2 + 5*s + 1. What is r*j(x) + 17*k(x)?\nAnswer: -3*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1656553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -921422*j**3 + 77980*j**2 - 77980*j**2.\nAnswer: -921422*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3574*q + 3568*q = 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by (-2 + -3)\/((-975)\/585)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 126 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 37*t**2 + 4*t + 150. Let s be u(-37). Solve 4*x + 36 = -4*j, -2 = -s*j + 3*x + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6390212981 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 6*s**2 - 3*s - 5. Let p be c(5). Let d(i) = i**3 - 6*i**2 + 6*i. Let x be d(p). Is 10 a factor of (x*2)\/((-8)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.5 - -15.6. Let l = 19 - k. Let m = -1 - l. What is the nearest to m in -3, -4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 0*f + 0 + 63*f**2 - 61*f**2 - 2*f + 5*f - 4. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - k - 304 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -1110011010?\nAnswer: 1110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22472378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283764 is divided by 20252.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2 - 30*q + 168.\nAnswer: -3*(q - 4)*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2958)\/(-638) + 4\/11 + 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 4, 1, -2\/39 in descending order.\nAnswer: 7, 4, 1, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54 - 1 - (-1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (131\/(-3))\/(3\/(-27)). Suppose 0 = -5*v - 3*x - 961 + 307, -2*x = 3*v + d. What is the tens digit of (4\/(-6))\/(2\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 1 = 2*l, -192*a + 4 = -190*a + 2*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -978*n + 979*n = -14. Sort 1, 3, n in increasing order.\nAnswer: n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 + 793910*n - 31514654405.\nAnswer: -5*(n - 79391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 393715, 393751, 393787?\nAnswer: 393823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 324*b - 906. Does 69 divide m(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**3\/3 - 6*c**2. Let f(y) = -y**2 - 5. Let w(h) = -2*f(h) + 5*o(h). Let v(t) = 1 - 1 - 2*t. What is w(v(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -4*i. Suppose -2*l + 7*l - 80 = i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, d: 8}. What is prob of sequence dddb?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 6*v - 18. Let a(r) = r**2 + 5*r + 5. What is the lowest common multiple of v and a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -127694 or -127695?\nAnswer: -127695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*k - 3*v + 3 = 0, -4 = -2*k - 4*v. Solve -2*u + k*u = 5*l + 2, -5*l = u + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 318198 and 223266.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 2*o + 0*o)*(5*o**3 + 5*o**3 - 6*o**3) + 3*o**4 + 0*o**4 - 2*o**4 + (-2*o**3 - 2*o + 2*o)*(-13*o - 13*o + 14*o).\nAnswer: 29*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.12 and 0.1.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 297  (b) 30  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(55)\/(sqrt(80)*1))**2.\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, 73, 6, -0.5, 0.11, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 936585 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 6. What is the nearest to 0 in 2\/17, m, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 90\/(-7)*(-14)\/2. Suppose 15*k - f = 10*k. Factor -9 + 6*v**2 - 4 - k*v - 4*v**2 - 7.\nAnswer: 2*(v - 10)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 975 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -9. What is the third biggest value in 0, 11, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 14) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 172*(-84)\/(-1806) - (18\/4 + 3\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -0.4, 1\/6, 393, 0?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 + -17. Let g(j) = j**3 + 2*j**2 + 5*j - 2. Let k be g(5). Calculate the greatest common divisor of k and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152981758.6 rounded to the nearest 100000?\nAnswer: -153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - 30) + -1 - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 30 = -4*g. Let c be (-484)\/(-24) + 1\/g. What are the prime factors of c\/9 - (-2)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -39*g**2 - 5*g - 1. Let y(k) = 59*k**2 + 8*k + 2. Determine 8*c(t) + 5*y(t).\nAnswer: -17*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + 2 + 1 - -2. Suppose 5*i + 0*w - w + 15 = 0, -2*i + w = c. Let h(v) = v**3 + 3*v**2 - 4*v + 4. What is the units digit of h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-14)\/10 + 3 + -1)\/((-1)\/(-5)). Let z be (-2)\/(-2 - -3) - -23. Calculate the highest common factor of z and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*b = 33*b. Let q(s) = s**3 - s**2 + 3*s + 9. Calculate the lowest common multiple of 12 and q(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/(-4) - -2)*10\/(-24465). Let g be (-304977)\/(-32620) - (-1)\/4. Let p = t - g. Calculate the common denominator of p and 63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - v - 3*v)*(v**4 - 3 + 3 + (2*v - 2 + 2)*(-v - 1 + 1)*(-2*v**2 - 9*v**2 + 5*v**2)).\nAnswer: -39*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 - -97. Suppose n + 137 = 4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 2, 0.1904, 95?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21488654, -42977311, -64465970, -85954631?\nAnswer: -107443294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 2*g - 913, 4*r - 2*g = -0*g + 1194. Suppose 295 = 2*j - r. Suppose -j - 122 = -5*z. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -10*x**2 + 177*x. Let t(g) be the first derivative of 3*g**2\/2 + 4420. Calculate t(j(y)).\nAnswer: -30*y**2 + 531*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1433\/240 - -93\/16. Find the common denominator of m and -125\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6111211780?\nAnswer: 2, 5, 23, 13285243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - z - 6)*(-46*z + 3*z**3 + 46*z) + (-2*z + 2*z + z)*(z**3 + 2*z**3 - 2*z**3) in the form j*z**2 + y + b*z + i*z**4 + f*z**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 3. Let i(s) = -3*s - 10. Let r be i(x). Suppose -r*a + 2*o = o - 96, -58 = -a - 2*o. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.457797um in kilometers?\nAnswer: 0.000000001457797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/4  (b) 5  (c) 6  (d) 1.5  (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 0 - 8 + 4 - i. Let k be p(0). Let a be (2\/(-6))\/(k\/48). Calculate the greatest common factor of 16 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -41 - -101. 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 factor of 21 and 6320181.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 3*j + 2*p, 475*j - 21 = 472*j + 3*p for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12825 and 1350?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -5 + 15)*(-2)\/(-8). Suppose -2*s + 5*s = 12. Is 119 - s\/(-6)*q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 581782741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-41434)\/(-8) + 70\/(-280).\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 513 divided by 42\nAnswer: 171\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -7*g**3 + 3*g**2 - 2*g. Let i(s) = s**3 - s**2. Let a(j) = 6*i(j) + l(j). Find f, given that a(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**5*o**(-2))\/((o**(2\/13)*o)\/(o*o**(-2\/3))))\/((o*o*o**(-1\/3)*o)\/(o**(-9)*o*o))**7 assuming o is positive.\nAnswer: o**(-2554\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 - r - 2. Let p = -26 - -29. Let x(m) = m. Calculate p*x(t) + g(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 191\/27090 and -31\/29025?\nAnswer: 406350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 873, 27.\nAnswer: 3, 5, 27, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-156) + 5886\/(-468) + (-9)\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 10*z - 50. What is c(0)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (3*(sqrt(550) - sqrt(22) - sqrt(22))*-1)\/(sqrt(99) - (sqrt(99) + -2*sqrt(99)*-3 + sqrt(99))).\nAnswer: 3*sqrt(2)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, v: 5, l: 3, d: 4}. What is prob of sequence vv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-11) + 11035\/(-110) + -3. Let i = -691\/6 - s. What is the common denominator of 0 + 4\/(-22) + (-526)\/(-594) and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12 + 2598*42\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 3.93. Let g = y + 0.43. Suppose -4*k = -118*o + 116*o - 12, 7 = -2*o + 3*k. Which is the second smallest value?  (a) 2  (b) o  (c) -2\/5  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 37 + 8e7b6f?\nAnswer: 8e7ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**4 - 90*n**3 + 565*n**2 - 1440*n + 1260 = 0.\nAnswer: 2, 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g*k**3 + 705*g*k**2 + 2*g*k - 887*g - 14*k**5 - 3*k - 2 wrt k.\nAnswer: 6*g*k + 1410*g - 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 8524 + 102500 = 14*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1*(9 + (-1 - 11132)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 16 = 5*t, -5*c - 61 = -2*t - 64. Let d(u) be the third derivative of 63*u**5\/20 - u**4\/4 - 5*u**3\/6 - u**2. What is the tens digit of d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28380 by 7095.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mcdcvdcgucdcv. Give prob of sequence vuc.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -1.36 in ascending order.\nAnswer: -3, -2, -1.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, k: 1, s: 1, h: 1, u: 1}. What is prob of picking 1 u, 1 s, 1 h, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -13. Suppose b - 5*s = -3*s + 19, 3*s = -6. Let z = 24 - b. Is z < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.92 + 0.08. Let j(v) = -v + 5. Let y be j(11). Let u be 5\/2 + 3\/y. Which is the smallest value?  (a) d  (b) u  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 43414 and 0.4.\nAnswer: 17365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 12:55 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26808, 26810, 26812, 26814, 26816?\nAnswer: 26818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 32252540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -6*o**2. Suppose -8 = 5*q - 18. Let l(y) = -y**2 + 0*y**q - 4*y + 4*y. What is l(c(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-5 - ((0 - -1) + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*f**2 + 51*f**2 + 1485*f**3 + 60*f**2.\nAnswer: 1485*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9830*y**3 - 12077*y**3 + 27342*y**3.\nAnswer: 5435*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 715819.9 centimeters to millimeters.\nAnswer: 7158199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(3\/5)*z)\/z**9)\/((z*z\/z**2*z)\/z)**9)**(-15\/8) assuming z is positive.\nAnswer: z**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-5)*(-43)\/((-516)\/120)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9993469\/72 + 138795. Let b = -5\/9 - a. Let i = 8996 - 54107\/6. Find the common denominator of b and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x - 16*x + 37 = p, -5*p = 4*x - 81 - 34 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2878, -2873, -2868, -2863?\n\"Answer: 5*s - 2883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 - (2 + 84 - (-114 - -157))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 650605987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 - 21. Let f = 7 - y. Let x = 14 + f. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 99666?\nAnswer: 99666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 50165126758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 1 - (276 - 291).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/7, -24, 7.9, -5, 5?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -196, -192, -192, -202, -228, -276, -352?\n\"Answer: -g**3 + 4*g**2 - g - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 291198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98215?\nAnswer: 5, 13, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1582590 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -71*a**5\/60 - 19*a**4\/24 + 32*a**2. Find the second derivative of u(x) wrt x.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*((u\/(u\/u**(-2\/3)))\/u)\/u)**(-27\/5)*(u*((u\/(((u\/(((u**6*u)\/u)\/u))\/u)\/u))\/u)\/u*u)\/u**(3\/8)*(u**(-10\/3)*u**1*u)**(9\/5) assuming u is positive.\nAnswer: u**(313\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1737998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, 3, -3, 0 in increasing order.\nAnswer: -3, -0.06, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 183 and 24111497?\nAnswer: 24111314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000001925 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.19 - 1.79. Suppose -5 = 5*s - 0*s. Which is the nearest to -2?  (a) r  (b) s  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 + -1 + 32)\/((-1)\/4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1079760 divided by 3272\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 70645 + 70727 = -4*p, 9*j = -34*j + p + 1288 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9403?\nAnswer: 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of 33*w**3 - w**2 + 24*w - 99. Find the second derivative of q(m) wrt m.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/((152\/(-192))\/((-23)\/(-276))).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a**1)\/a**9)\/((a\/(a*a\/(a**(-6)\/a)*a))\/(a\/(a\/(a*a*a\/(a**(1\/7)\/a)))*a)) assuming a is positive.\nAnswer: a**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6287, 7109, 9457, 14093, 21779, 33277, 49349, 70757?\n\"Answer: 127*u**3 + u**2 - 70*u + 6229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3445)\/(-5915) - 6\/14\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1708950 rounded to the nearest 1000?\nAnswer: 1709000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25878.\nAnswer: 2, 3, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**21\/(o*o**44*o))\/(o\/((o*o*o**(-31))\/o)*o)**(-10) assuming o is positive.\nAnswer: o**295","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -10*(-1 + 2\/(-4)). Suppose i - 3*i = 4*b - 6, z = 3*b - 2*i. Suppose -b*s = -4*s + 4. Solve a + 5 = -s*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454814?\nAnswer: 2, 227407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -893, -1115, -1361, -1643, -1973, -2363, -2825, -3371?\n\"Answer: -2*t**3 - 208*t - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (55\/33)\/((-1)\/(-3)). Suppose q - 9 = -d - 11, -q - 3*d = 6. Let t(m) = m - 2. Let w be t(q). Put 0, a, w, 3 in ascending order.\nAnswer: w, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (0 + 44)) + (128 - 77) + -42?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2024708 and 110491208?\nAnswer: 773438456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-26) + 532\/(-91). Let h(l) = l**3 + 6*l**2 - 3*l + 5. Let y(v) = v**3 + 6*v**2 - 4*v + 6. Let z(j) = -5*h(j) + 4*y(j). Let r be z(a). Is r >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 1360479\nAnswer: 1360496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - ((95 + -89 - (1 + 3)) + (6 - 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411435?\nAnswer: 3, 5, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - -23 - (-1 - 2 - (-737)\/88)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-15)\/d)\/(d*d**0\/d) assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25740 or -25741?\nAnswer: -25741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 52*o**2 - 48*o + 2497. What is u(52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*b**4*o**2 + 8*b**4 + 1193*b**2 + o**2 wrt b.\nAnswer: 360*b*o**2 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 1:17 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m + 24, -6*c - 5*m = -48 - 0 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 - -0.1. Let x = -155\/986 + 3\/34. Which is the second smallest value?  (a) 0.4  (b) x  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2026754, 8107009, 18240768, 32428031, 50668798?\nAnswer: 72963069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2032013032 (base 4) to base 5.\nAnswer: 122111334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -49.990649 and -0.2?\nAnswer: 49.790649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -i**7\/21 - i**5\/15 + 35*i**4\/24 - 11*i**2 - 1. What is the second derivative of n(x) wrt x?\nAnswer: -120*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -58*m + 18 + 12 - 30. Suppose -3*t + 8*t = 3*q - 13, 4*t = -3*q - 32. Is m less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -14 - 14. Let x be (v\/(-70))\/((-2)\/10). Solve -3*y + 10 = x*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.015 - -36.985. Let q = 39 - b. What is the second biggest value in q, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmwmwwwmwqmwwmwww. Give prob of sequence mmq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o - 1. Let y be 1*(-1 + -3) - -3. Let n be u(y). Let a be ((-6)\/(-9))\/(n\/459). Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v + 32 - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 20*s - 15. What is the units digit of w(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 8 - 8 + (2 + 3 - 3)*(3*p - 2*p - 2*p))*(7 + 1 - 14)*(10 - 13 + 12) + (-2*p - 2*p + 2*p)*(0 + 4 - 2) + p - 2*p + 0*p + 0 + 2*p + 0.\nAnswer: 51*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 50*q**5 + 15*q**4 - 100*q**3 - 30*q**2 + 50*q + 15 = 0. What is q?\nAnswer: -1, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1977 times 0.077\nAnswer: -152.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5698 - 5668. What is the greatest common factor of a and 11730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32862270 to the nearest one hundred thousand.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ba (base 12) to base 11.\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.079?  (a) -0.1  (b) 2\/9  (c) -7.5  (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 547898 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**5*t\/(t**(-22)\/t) assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.198 - -0.802. Which is the nearest to t?  (a) -3  (b) 1\/7  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 358*n*y**3 + n*y - 12*y**3 - 6*y wrt n.\nAnswer: 358*y**3 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q**2 - 3*q + 3. Let m(i) = 5*i**2 - 7*i + 7. Suppose 0 = 3*s + 5 - 14. Give s*m(z) - 7*v(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) - sqrt(1377)*-1)**2 + -3.\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**4 - 1576*m**3 - 135172*m**2 + 3952608*m - 25160256.\nAnswer: -4*(m - 12)**2*(m + 209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1511995, 3023965, 4535935?\nAnswer: 6047905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**3 - 2*w**2 - 10. Suppose 0 = -5*c + 2*a - 18 - 12, 5*c + 3*a = -55. Let n be l(c). Is (-3)\/(-18) + n\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/11)\/d*d*d*d**(-2\/7))\/((d\/(d**17*d))\/(d\/((d*d**(-12)*d*d*d)\/d))) assuming d is positive.\nAnswer: d**(2197\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 20. Let u be ((-84)\/8)\/((-2)\/h). Let y(a) = 163*a + 680. Let k be y(-4). Calculate the greatest common factor of u and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -9. Suppose -4*f = x*z - 6*z - 16, -2*f = 4*z - 8. Differentiate -7*j**4 + 38 + 8*j**4 + 5*j**f with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of -a**3\/3 + 8*a**2 - 33*a - 1197. Calculate i(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3355 - 25*k**3 + 175*k**2 + 3355 wrt k.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 947560 divided by 228\nAnswer: 236890\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9433, -11817, -14199, -16579, -18957?\nAnswer: -21333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v. Let g(c) = 3*c. Let n(t) = t - 11. Let l be n(12). Let q(w) = l*g(w) + 2*o(w). Let y(z) = -2*z**2. Calculate q(y(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**14*((u\/(u**(-1\/11)\/u))\/u)\/u assuming u is positive.\nAnswer: u**(155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 7920*y + 5306440. Give c(-670).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2755, -5671, -8599, -11539, -14491, -17455, -20431?\nAnswer: -23419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1046, 2106, 3136, 4100, 4962, 5686?\nAnswer: 6236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.142, -104, 0.3, -0.3, 0.4.\nAnswer: -104, -0.3, 0.142, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -66*l - 5*f + 354 - 47, -3*f = 5*l - 115 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (3 - 7) + -11 + (10 - -17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(2\/(-8) + 1). Suppose 11 = p*t - 5. Suppose 18 - 6 = -4*s, -564 = -4*f - t*s. What is the remainder when f is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -86, -78, -66, -50, -30?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-266.8\nAnswer: -106.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.94473 and 14?\nAnswer: 41.22622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*c + 4*c - c**2 - 2*c**2 + 3*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3915bc (base 13) to base 9.\nAnswer: 2523845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 6:57 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 300 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1443 + 12132424?\nAnswer: 12130541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14612.6l in millilitres?\nAnswer: 14612600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 3. Let g = 271 - 191. Suppose -2*l + g = 3*l. What is the smallest common multiple of r and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4505036136 + 22*f + 4505036136.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 770 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 3, 698, 2, 231 in increasing order.\nAnswer: -5, -4, 2, 3, 231, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -41930*b. Let p(x) = 368*x - 6. Determine p(k(y)).\nAnswer: -15430240*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 167860 and 56055?\nAnswer: 1881878460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -363, 0, -4\/7, 5, -6\/11, -4 in descending order.\nAnswer: 5, 0, -6\/11, -4\/7, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27 + -27.4. Let r = -37.949 + -0.051. Let v = r - -43. Put 1, v, 0.4, d in ascending order.\nAnswer: d, 0.4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/4*(-6 - 18). Let h be x\/(-8) - 1\/(-2). What is the second derivative of 0*g**h - 4*g + g**2 + 2*g + 3*g**2 wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -279718+-2.5\nAnswer: -279720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (1761 - 1714 - (-1 - -13))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 491284*j + 2456350. What is q(-5)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 1. Let w = 2 - u. Suppose 0 = -2*v - 2*f + 3 + 37, -2*v + 28 = -f. Solve 0*d - w*d + v = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-15)\/2)\/3*-2. Let g = -1 + 5. Suppose -5*k + g = 5*t + 9, -2*t = -2. Put k, p, -5 in ascending order.\nAnswer: -5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -6*m. Let v(o) = o**3 + 3*o**2 + o + 3. Let p be v(-3). Let w(r) = -3*r - 2*r**2 + p*r + 3*r. Calculate a(w(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.23 - 0.37. Sort m, -0.3, -2 in descending order.\nAnswer: -0.3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 26. Let o be a(28). Let j(r) = 14*r - 6. Let y(u) = u + 1. Let x(k) = o*j(k) - 22*y(k). What is the first derivative of x(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -113964903 < -113964903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -0.1, -48, 1\/6, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 4*q**2 + 2. Suppose -t + 8 = t. Let w be y(t). Solve w*p + 4 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 2:14 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30.1, 1, -0.3, -0.05, 1.07 in decreasing order.\nAnswer: 30.1, 1.07, 1, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b - 1064 = 5*b. Let y be (-9)\/(-4)*b\/(-57). Solve -2*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 209735 + -114575\nAnswer: 95160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*u = 14, -2 = -h + 3*u - 15. Is h greater than or equal to -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**2 - 37998680*a + 72194984087120 = 0.\nAnswer: 3799868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + 1 + sqrt(1377) + -4 + -2*sqrt(17) + sqrt(1377) + (sqrt(1377) + -4 + sqrt(1377) + 1 - sqrt(1377)))**2.\nAnswer: -408*sqrt(17) + 19688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/(-42)*133\/76*-4. What is the greatest common factor of 267 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*287\/(-30)*183\/(-29890)*-35?\nAnswer: 123\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -2, 5\/6, 53, -2\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1650 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 473, 481, 491, 503, 517, 533?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4664 by 3.\nAnswer: 4664\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2916)*-1 - sqrt(2916))\/sqrt(12) - (1 + sqrt(3) + 5 + 1 + 4))*3*2.\nAnswer: -438*sqrt(3) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2)\/((k*k**(-13))\/k))\/(k**(2\/37)*(k*k*(k\/(k*k*(k**(-10)\/k)\/k))\/k)\/k))**(2\/11) assuming k is positive.\nAnswer: k**(-4\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*l - 2*h + 55 = 0, -1025*l + 1020*l - 4*h = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 24*d**2 + 176*d + 63. Calculate f(-8).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 13 = 4*l, -4*l = 5*t - 2*t + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7363*p*v**2 - 4*p + 4629*v**2 + 2*v wrt p.\nAnswer: -7363*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -59d (base 14) to base 12\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 bigger than 3390.139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q + 8. Let t be u(-2). Solve 4*d - 6*d + t = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**3\/15 + 4*b**2\/15 - 2*b - 24\/5 = 0. What is b?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - o - 11 = 2*l, -3*o = -12. Let s = 86 + -79. Let i be (2\/(-4))\/(s\/42). Put i, 3, l, 4 in ascending order.\nAnswer: i, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 12:15 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from ywowoowvwyywyw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4 + (sqrt(510)\/(-4*sqrt(160)))\/((sqrt(300)*-3 - sqrt(300))*-1))**2.\nAnswer: -sqrt(17)\/64 + 10240017\/409600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 6*z - 11. Suppose 3*p = -9 - 15. Let f be w(p). Suppose -43 + 13 = -f*g. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6, -73, -170, -285, -406?\n\"Answer: 2*y**3 - 27*y**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44728, 44730, 44732, 44734, 44736, 44738?\nAnswer: 44740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24.6 + 289. What is q rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*(-1)\/3*-3. Suppose -5*y = 3*b - 112, 5*y + 134 = s*b + 4*y. Let d = b + 77. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2 from 0.16330145.\nAnswer: -0.03669855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6*l + 8 = 0. List the prime factors of -1 + l*(-38)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -568 + 1848 = 8*y. What is the lowest common multiple of y and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -2*x**3\/3 - 3*x**2\/2 + 9*x + 3452. What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31807 + -17160. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7036.479ml?\nAnswer: 7.036479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 150 = 3*h, 12*h + 30 = 7*h. Suppose j - 4*g + 44 = 0, g + 22 + 86 = -4*j. Let c = n - j. Let d(l) = -l**3 + 7*l**2 - 6*l - 4. Calculate d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9149453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**3 + 864804*z**2 + 3459180*z + 3459168 = 0. What is z?\nAnswer: -288264, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 198*p**2 + 927 + 208*p**2 - 218*p**3 - 406*p**2 + 211*p**3 to h + q*p + f*p**3 + a*p**2 and give h.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m - 13438 = -13810. What is the remainder when 1734 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*d\/(d*d\/((d*d**(-2\/17))\/d)*d*d*d))))\/d*(d*d\/(d\/d**7))\/d)\/((d**(1\/6)\/d)\/d*d**(2\/9)) assuming d is positive.\nAnswer: d**(1375\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2159, -123, 3.\nAnswer: -123, 3, 2159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35 + 190*t**2 + 184*t**2 - 383*t**2 wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195962?\nAnswer: 2, 13, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -87919, 7, 260 in ascending order.\nAnswer: -87919, -2, 7, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*x - 20 = -6*x, -a = -2*x + 1. Suppose -6*p + 3 = -3*u, 5*u = 6*u - 3. Let y(r) = 1 - 4 + a*r + 4*r**p - 3*r**2. Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 590.5 centuries?\nAnswer: 5905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4292 divided by 4?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/7, -13\/2, 2\/13, 1\/8?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 110 + -109.45. Let l = 0.05 - a. Let n = 4.4 + -0.4. What is the nearest to 2 in 1\/2, n, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 4*b = -92, -4*b = 376*z - 388*z - 248 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2 + 11*o + 8. Let c be m(-5). Suppose -i + 3*k = i - 16, c*i = -3*k - 6. Solve 2*t = x + 10, -x = i*x + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65463535 to the nearest integer?\nAnswer: 8091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 152874 to the nearest 100.\nAnswer: 152900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.16 - 6.84. Let n = r + 7.03. Let v = 0.02952 - n. What is v rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 108782431*v**3 + 22620*v**2 - 121.\nAnswer: 652694586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -254*s**3 - 2*s**2 - 43011*s + 142359168 with respect to s.\nAnswer: -762*s**2 - 4*s - 43011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 1 + 2*u**3 - 3 - u**3 + 0*u**3 + 3*u**3 + (-3*u + 0*u + 4*u)*(-2 - u**2 + 2).\nAnswer: 3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, 3, 1, 31\/2, -12, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 988323\/20 less than or equal to 49416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, i: 5}. What is prob of picking 1 k and 3 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 81186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 17*o**2 + o + 12. Let h be b(-17). Sort h, -3, 0 in ascending order.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 0*v - 2*v**2)*(-51*v**2 - 85*v**2 - 5 + 171*v**2).\nAnswer: -70*v**4 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10131446 divided by -1.\nAnswer: 10131446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 7*y + 14. Let n be b(-5). Suppose d = 5*i + 2 - 9, -n*d + 10 = -i. Suppose -5*x + 1 = 2*k - 6, 4 = 4*x. Put i, 5, k in ascending order.\nAnswer: k, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 + 2366 = 35*g. What is the least common multiple of g and 72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmms when four letters picked without replacement from tmtzsmzttzsmzmtmhs?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086906147 a multiple of 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2b0595 (base 13) to base 7\nAnswer: 11663513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.06965 weeks in microseconds?\nAnswer: 1251724320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -111940, -223893, -335858, -447841, -559848, -671885?\n\"Answer: -f**3 - 111946*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-14)\/(-20)*-14 - 4\/20. Let n be r*33\/6*1*1. Let x = -18 - n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15302305*h**5*o - 2320618*h*o wrt h?\nAnswer: -306046100*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.1. Let k be (5\/(9\/(-9)))\/((-2)\/(-4)). Let s be (k - -8)*(-3)\/4. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*g = -32*g, -4*k - 3*g + 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, -2\/11, 2 in decreasing order.\nAnswer: 10, 2, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/5 + 1344*b**2\/5 + 26038*b\/5 - 27384\/5.\nAnswer: 2*(b - 1)*(b + 21)*(b + 652)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 414657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11466 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 72549 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23166.8 - -23167. Suppose -d - 2*d + 3*g = 0, -3*g = 3. Which is the nearest to -2\/3?  (a) d  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**20)\/(c*c*c**(-26))*c\/c**(2\/31)*c**(-6))**(1\/27) assuming c is positive.\nAnswer: c**(47\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162 and 90?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 3540591756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (648\/(-60) - -11)*(427 + -2). Solve -b + 97 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60803 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-9) - 8\/(-6). Let z = 3 - v. Solve -w + z = -3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 33.4 and 4.5118?\nAnswer: 28.8882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 405 and 174495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5*d + 39 = 0, -11*d + 2 = -13*d. Solve -4*v = -c + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 7\/479  (c) -0.7  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + -15. Let y(b) = b**2 - 4*b - 8. Let i be y(r). Let w = -8 + 7. Put i, w, -6 in ascending order.\nAnswer: -6, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 - x**3 + (-20 + 18 - 42)*(-5*x**3 + 5*x**3 - 2*x**3) + 2*x**3 - x**2 + x**2 to the form o*x**3 + w*x**2 + b + s*x and give o.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/24 - ((-2215)\/30)\/1. Factor -2*q**2 - 3*q**2 - 2068 + 546*q - 17152 + s*q.\nAnswer: -5*(q - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/13 and -29\/691.\nAnswer: 8983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y + 5. Let d(m) = 3*m - 5. Let g(x) = 2*d(x) + 3*l(x). What is the units digit of g(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/15 + 1 + 56\/10. Suppose -2 = 2*x + q. Let m be 5826\/42 + -3 + x\/(-14). What is the highest common factor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576060?\nAnswer: 2, 3, 5, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -186.7 - -186.2. What is the second smallest value in u, 20, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2737, -11013, -24819, -44167, -69069, -99537?\n\"Answer: -2*j**3 - 2753*j**2 - 3*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -d + 70369, d - 27554 - 42821 = -4*r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -19*g**3 + 796*g**2 + 85*g - 13. Determine j(42).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -7. Let y be 2\/((46 + o)\/2). Do y and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 288 and 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 2:29 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25168 + -13520. Is d a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000261186 to 7 decimal places.\nAnswer: -0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.098817188 to 5 decimal places.\nAnswer: -0.09882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t + 2 + 5*t**2 - 2 - 3 + t**3. Let v be l(-5). Let d = -93 - -88. Sort d, v, 5 in decreasing order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6158 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + sqrt(1100)*-2) + 3)**2.\nAnswer: 1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2524, 15404, 50374, 118480, 230768, 398284, 632074, 943184?\nAnswer: 1342660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9940 = 436*m - 3836 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10681 millilitres in litres?\nAnswer: 0.00010681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - 10*i - 3. Calculate the smallest common multiple of k(-5) and 15*2*(-4)\/(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19192 + -17624. Calculate the least common multiple of m and 1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from lmlmzb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*w + w + 8*w)*(-37*w + 37*w + 21*w)*(3*w + w - 2*w).\nAnswer: 126*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -3. Suppose -79*z = -130*z + 45 - 504. What is the closest to z in -3, j, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) -0.4  (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 298*x**2 - 300*x**2 + 61 + 13.\nAnswer: -2*x**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-70)\/14)\/(40\/(-96)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + 6*l + 4 - 13*l)*((0*l + 0*l - 2*l)*(-3*l + 5*l + 0*l) + (5 - 4 - 3)*(2*l**2 + 2 - 2)).\nAnswer: 32*l**3 - 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 54 = v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 696\/7 - 7393\/35. Let f(c) = -10*c - 30. Let z be f(-14). Let n = r + z. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110770 = -88195*q + 90285*q for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*j + 12*j + 13*j + 29)*(5 - 4 + 0).\nAnswer: 7*j + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -8. Let u(m) = 10*m - 14. Let g(p) = 2*p**2 + 5*p - 7. What is the least common multiple of g(-5) and u(t)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 3)*(3*j - 2 + 3 - 5*j).\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 8*c**2 + 18*c + 78. Let o be g(-7). What is the third biggest value in 7.8, 4, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*((-1 - 1) + 1). Suppose 2*j - 2*a = 0, 3*j - 33*a + 36*a = -18. Sort j, n, -3.3 in decreasing order.\nAnswer: n, j, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 1100101?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -7*k**5\/60 + k**4\/24 - 8*k**2. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*d - y - 85, -14656*y = 2*d - 14651*y + 29 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.255*-0.492.\nAnswer: 0.12546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 246*g.\nAnswer: -3*g*(g - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 327135 and 7720.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 32336994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4023)\/(-21) - 1\/(-1). Let m = 193 - o. Which is the third biggest value?  (a) m  (b) -0.06  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -64761\/11 - -5890. Calculate the common denominator of c and -2\/321.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(1225) - sqrt(49) - sqrt(196)\/sqrt(4)*-2)\/(-4*2*sqrt(567)))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from {k: 7, y: 2, u: 1}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 5 - 2 + (1 - 2 - 2)*(1 - 5 + 3))*(x + 0*x - 2*x) in the form h + y*x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 4*a = 23, -1685*a - 39 = -4*j - 1690*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10164*h**2 + 3377*h**2 + 3411*h**2 + 3396*h**2.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*k + 10 = 0. Let y = 23 - 28. What is the closest to k in y, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/110640266 and -62\/9?\nAnswer: 995762394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f - 47*o + 113*o - 67*o = 17, o = 2*f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = -299*c - 3038 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b = 3*w + 5*b - 5, -5*w - 4*b = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -4*z, 5*q - 3 = 3*z + 5. Let p(k) be the third derivative of -2*k**2 + 0*k + 0 + 0*k**3 + 1\/12*k**q. What is p(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63 by 183308.\nAnswer: 63\/183308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2*m - 88 = 0, -5*j + m + 115 + 1 = 0. Let c = -24 + j. Solve 0 = -c*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hfhlbullbfsh. What is prob of picking 1 l and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110011001001010011110 (base 2) to base 12.\nAnswer: -689a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 562 + 2?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 168628199 to the power of 1\/2, to the nearest integer?\nAnswer: 12986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4c9c (base 13) to base 9.\nAnswer: 16011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t**(16\/3)\/t))*t)\/(t*t**(17\/2))*t**(-3\/22)*(t*t\/t**(-25))\/t assuming t is positive.\nAnswer: t**(716\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 828 - 496. Suppose y - 2*k - l = -0*k, -1648 = -5*y - 2*k. What is the greatest common factor of 66 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -605, -578, -533, -470?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a**3 + 63639*a - 127456*a + 63817*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g**2 - 116*g - 928. Let c be o(-10). Suppose 3*y + 8 = -52. Let z be (12\/5)\/((-6)\/y). Calculate the greatest common factor of c and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 2 = b, 5*l = -4*b + 9 - 1. Factor 3\/5*v**3 - 2\/5*v**b + 0 + 0*v - 1\/5*v**4.\nAnswer: -v**2*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1138607321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.33, 5, 1\/4, -0.12, -7\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 538421524 to the power of 1\/2, to the nearest integer?\nAnswer: 23204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -5*v + 16. What is the least common multiple of l(2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*m + 135. Suppose 2*o - 2*i = 20, 2*i = 3*o + 3*i - 18. Calculate the remainder when m is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 176018600 by 5.\nAnswer: 35203720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.6 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**3\/6 + 95*a**2\/2 + 2*a\/3 - 190 = 0. Calculate a.\nAnswer: -2, 2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 7*p - 2*w = -1, -5*w = 3*p + 26. Solve -p*b = d - 0*d + 16, 0 = 4*d + 2*b + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24896 - -24899. Solve 4*n + s = 8, n - 2*s = -1 + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0317 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -7*p**2 + 7*p - 1. Let x(f) = 3*f**2 - 4*f + 1. Let s(v) = 5*x(v) + 2*z(v). Let w = 5 + -11. Let q be (-54)\/45*20\/w. Calculate s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - f**2 + f**2)*(-2*f + 4 - 4) - 114*f + 53*f**3 + 125*f - 11*f**3.\nAnswer: 40*f**3 + 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 24 + 100 - 23 - 15 - 24 - 4*l.\nAnswer: -4*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1560902889 a multiple of 10829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1086, 2175, 3264, 4353, 5442, 6531?\nAnswer: 7620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 549*p - 761*p + 1272 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 7:49 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/7)\/3*14\/2. Is ((-4)\/6)\/(m\/(-42546)) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-38)\/(-95) - 21253166\/(-10) - (-60)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3*r - 8 - r**2 - 15*r - 11*r**2 - r**3. Let s be 4 - 1 - 11 - 3. Let t be x(s). Solve 3*i = -4*w + t, -w - i - i = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -369 or -1464\/37?\nAnswer: -1464\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**3\/f*f)\/f*f**2*(f**8*f)\/f*f**8)**(-49) assuming f is positive.\nAnswer: f**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m. Let d(a) be the first derivative of -a**6\/72 - a**5\/24 + 100*a**3\/3 + 17. Let g(p) be the third derivative of d(p). Give g(q(r)).\nAnswer: -125*r**2 - 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3 - 33*q**2 + 36*q.\nAnswer: -3*q*(q - 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 592528810 to the nearest 100000.\nAnswer: 592500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 42, -4 in ascending order.\nAnswer: -4, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 103936 and 3808.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 11b2?\nAnswer: -11a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1162*z - 458*z = -945*z - 29682 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {o: 1, k: 1, h: 1, f: 5, a: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35895370 by 70.\nAnswer: -512791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 24*n + 28. Let c be t(23). Let u(f) = -f**3 + 6*f**2 - 4*f - 12. What is u(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 2, 5, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 110.25 + -110.05. Is k not equal to -9279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/120 and -73\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 4:28 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 50226.33ns?\nAnswer: 0.05022633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/34736 and 95\/4.\nAnswer: 34736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 47976?\nAnswer: 335832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -4*z**2 + 4*z - 7. Let r(j) = -j**2 + j - 1. Calculate -f(p) + 5*r(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -132778, -132099, -130966, -129379, -127338, -124843, -121894?\nAnswer: -118491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.001 + -0.051. Let p = i - -0.22. Put -1, p, 5 in decreasing order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2 - 29*r - 17. What is h(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -449116, -449130, -449140, -449146, -449148, -449146, -449140?\nAnswer: -449130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 2144507170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**3 - h**2 + 3*h - 3*h + (2*h + 3 - 3)*(-h**2 + 0*h**2 - 2*h**2).\nAnswer: -5*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -8, -3*l + 2*l - b + 1 = 0. Solve -3*d - w + 12 = -8, 0 = -4*d - l*w + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -121 * -2378675.\nAnswer: 287819675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1844927 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -183.97 take away -0.3?\nAnswer: -183.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = -2*c - 4*c. Let o be c\/(-10)*(-100)\/(-40). Let j(b) = 9*b + 138. Let i be j(-15). Solve 5*f = o*s + 3, f = -2*s + i*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 263\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**3\/3 + 3337*d**2\/3 - 16706*d\/3 + 4456 = 0.\nAnswer: -3342, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6*d**2 + 2*d - 2. Let z(c) = -c**2 + c. Determine -q(w) + 4*z(w).\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20908\/14)\/(16 + (-17370)\/(-315)) - 21?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -185 + -2?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 - 54. Which is the second biggest value?  (a) -1\/7  (b) -7  (c) -0.4  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -305.6 - -280. Let a = -34799215 - -34799189.400113. Let j = a - c. What is j rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k - 3*q = -17*k + 15, k = -7*q - 25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 930*t + 532*t - 76787 - 12654 = -441*t for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zovv when four letters picked without replacement from zzvoooovovovvzvvz?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -21810 and -21890 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 34910481 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/3 + 25\/10. Suppose q - 2*m + 5*m = -76, -325 = 4*q + 5*m. Let t = q - -250\/3. Is f at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 73*z**2 + 82*z + 616. Calculate u(-74).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28517259 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*m**4\/3 - 5956*m**3\/3 + 568*m**2.\nAnswer: -4*m**2*(m + 213)*(7*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(500) - (-5 + sqrt(500)*2))*3 + (sqrt(500)*-1 + -1)*-2)*-2)**2.\nAnswer: -1200*sqrt(5) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-235) + 5140040\/239982.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 4:40 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from scsccsscsscc.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*g - 10*g + 2*g**4 + 27*g)*(g + g - g).\nAnswer: 2*g**5 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 893692843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/12 + (-43)\/(-4). Suppose y = 4*a - 17. Let f(i) = -2*i**2 + 11*i + 49. Calculate the least common multiple of f(8) and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*-204433\nAnswer: 817732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 102*k**2 + 0 + 101*k**2 - k)*(4 + 2 + 11) to the form o*k**2 + c*k + z and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 402.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 143 = -2*g, 33 = j - 0*g - 3*g. What is the third derivative of -j*t**2 + 52*t**2 - 7*t**3 - 45*t**2 wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 4*k - 58 + 14, -22*j + 8 = -23*j + 3 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*w + 700*w = 141*w - 283 - 2381 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1209 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 119973912 to the nearest 100000.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 64196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 668257 is divided by 977?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 45712549*y**2. Let u(t) = 2*t**2. What is u(p(o))?\nAnswer: 4179274272154802*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*f*v**3 - f*v**2 + 42*v**2 wrt v.\nAnswer: 492*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, g: 11}. Give prob of picking 3 v and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -9*m + 20*m. Let y(c) = 8*c + 42. Let g be y(m). What is the closest to -5 in g, 4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*w + 21*w - 12*w)*(1 + 0 + 0) + w + 0*w + 3*w + (w - 3 + 3)*(-2 - 3 + 3) - 1 + 2*w + 1.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1420 or 1421?\nAnswer: 1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 44*y**2 + 25*y + 5. Determine q(3).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*(-19)\/513*6\/38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4730305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16324 by -371.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*r**2 + 6*r - 6*r.\nAnswer: 143*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5355 and 4222953?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that n**5 + 14*n**4 + 25*n**3 + 12*n**2 = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3 - 541*y**2 - 1079*y - 539 = 0. Calculate y.\nAnswer: -539, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180796*v - 90451*v + 3 - 90409*v + 1 - 4.\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6694514 rounded to 2 decimal places?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 530385987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 4\/471429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 4, 59, -1 in ascending order.\nAnswer: -1, 1, 2, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 581?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7858 by -3929.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 8941.691 micrometers?\nAnswer: 8.941691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -1008*j**3 - 4080*j**2 - 3484*j + 1352 = 0.\nAnswer: -13\/6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/1073 + 15040\/9657. Calculate the common denominator of q and 0 - (1\/8 + -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**4\/12 - 4*o**3\/3 - o**2 + 7*o. Let x be m(-6). Suppose -3*r + 93 = 4*u, -u - r - x = -33. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 25546, 51091, 76634, 102175?\n\"Answer: -n**2 + 25548*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 12:08 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/12 + (-438)\/(-8). Let j be ((-6)\/18)\/(4\/(-132)). What is the greatest common factor of c and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w. Let p be (-751)\/(-7) + 0 + (-10)\/35. Let x(g) = -2 - 46*g - 5 - 52*g + p*g. Calculate b(x(f)).\nAnswer: -18*f + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-5311694\nAnswer: 2124677.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 996.779 nanograms to micrograms.\nAnswer: 0.996779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, l: 4, d: 2, m: 1, j: 5}. What is prob of picking 1 t and 1 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 57 = z. Suppose -3*n - 49*i + 134 = -53*i, -5*i = -n + 63. Let w = n + z. Put -1, 15, 5, w in decreasing order.\nAnswer: 15, 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2169 plus -1.2697?\nAnswer: -1.0528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n + 1. Let z(a) = 2*a - 4. Let v(w) = 3*o(w) + 3*z(w). Suppose -5*i + 19 = -16. Let j be v(i). Solve j = -3*d, -3*y + 0*d - 2*d = 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -363*r - 5091. Give o(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + (-16)\/6)*-2766. Suppose -g = 4*c - 3*c. Let s = -12862\/7 - c. Find the common denominator of s and -57\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 19*k + 294. Let u(v) = 9*v + 127. Let y(c) = 3*a(c) - 7*u(c). Let o(s) = -s + 1. Give 3*o(q) - y(q).\nAnswer: 3*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27)\/(-1)*(0 + -1). Suppose -4 = -27*g + 25*g. Let b = g - l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -49*c + 257. What is o(8)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**3 - 6*u**3 - 2*u**3 - 25*u**3.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 4*j - 12636 = -12590, -3*z - 3*j - 33 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247462 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 268983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 0*s + 1\/4*s**4 + 5\/3*s**3 - 13 + 1\/2*s**2. Give y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*w**2 - 12*w**2 - 17*w**2 - 121)*(5 + 0 - 3) as j + r*w**2 + x*w and give j.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -7.5. Suppose q + 3*y + 1 + 3 = 0, 2*q + 2 = -4*y. Suppose 3*k - 19 = -q*n, 0 = 3*k - 5*n + 19 + 12. Sort x, k, 5 in descending order.\nAnswer: 5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/(-1)*7\/70)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -845.00000059 - -845. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -82562 * -0.5\nAnswer: 41281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*(-24)\/(-27) - (-3)\/(-9)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - 89 = -10*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16352*b + 25026*b + 20739*b + 1764*b - 15592*b.\nAnswer: 48289*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/(-91) + (-2 - (-54)\/28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 20 = 5*g + 2*r, -4*g = -2*r + 6. Suppose -1 + 7 = 3*b. Let q(n) = -6*n - g + 2 - b + 0. What is q(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of -3*q**5\/20 - 4*q**4 + 19*q**3\/2 + 51*q**2 - 2597*q. Factor w(z).\nAnswer: -3*(z - 2)*(z + 1)*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1900222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 49040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z + 0*z - 3*z)*(61*z**2 + 355*z**2 + 1254*z**2 - 231*z**2 + 648*z**2) to the form w*z**3 + u + v*z + x*z**2 and give w.\nAnswer: -6261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = 17*x - 719. Suppose x*j - 13*j = 1178. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-14))\/((-8)\/(-56)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -23973, -36971, -49969?\n\"Answer: -12998*o - 10975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-22993.\nAnswer: 68979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6049502 is divided by 720.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -25*o - 36. Calculate the remainder when 53 is divided by c(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = -12*a - 20. Let o be (2 - 4)*(-15 + a). Solve 2*k + o = -0*i + 4*i, -3*k - 12 = -5*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18 + -14?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z**3 - 3*z**3 - 2*z**3)*(3*z - 8*z + 3*z) + 229*z**3 - 16*z**4 - 229*z**3 + (26*z - 28*z + 101*z)*(-3*z**3 + 4*z**3 - 3*z**3).\nAnswer: -218*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*q**2 + 11 - 4*q + 5*q - q**2 - 3 + 3*q**2 as a*q**2 + p + n*q and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-46))**(-37))**(21\/5) assuming g is positive.\nAnswer: g**(-36519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17777043 + 3?\nAnswer: -17777040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.094 or -20.01?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 255 = 156. Let m = -89 + v. Find the common denominator of (-165)\/m - -1 - 2 and 83\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/21  (b) 2\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 8, r: 1, a: 6}. Give prob of picking 1 r, 1 a, and 2 m.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a + 2. Give d(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42361 and 495?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*j - 20544 = 28*j. Suppose -13*d - j = -d. Let l = 909 - d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-3894)\/(-30))\/(3\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 157866f?\nAnswer: -1578674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 11*s + 21. Let n be q(-13). Round n to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 12) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-654)\/72*6\/174 and 133\/6.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of -t**3\/3 + 4*t**2 - t - 3. Let h = 16 + -10. List the prime factors of l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/4636089?\nAnswer: -1\/4636089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -6*x**2 + 2. Let d(j) = 5*j**2 + 363*j - 2. Let k(q) = -d(q) - r(q). Let k(n) = 0. What is n?\nAnswer: 0, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3043 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 125\/12*p**3 - 5*p**2 + 1\/8*p**5 + 0*p + 25\/16*p**4 + 0 + 1\/240*p**6. Factor j(x).\nAnswer: (x + 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -157 + 40. Let p = -18 - -30. Let u(a) = -2*a + 27. Calculate the remainder when g is divided by u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {o: 1, u: 5, a: 1, l: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + v**2 - 5*v - 44. Let p(q) = q**3 - q**2 + 4*q + 44. Let y(u) = 5*h(u) + 6*p(u). Give y(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000031739198 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e5 + a?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1661*x**4 - 2302*x?\nAnswer: 19932*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 267101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.141?  (a) -4  (b) -6  (c) -5  (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -3, -75 in descending order.\nAnswer: 4, -3, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3999 + 4002. Let q(f) be the third derivative of f**4\/24 - 4*f**3\/3 - 2*f**2. Let o be q(9). Sort o, i, -4.\nAnswer: -4, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) 0  (b) -3\/5  (c) 0.21  (d) 0.8728\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 10443, -5, 0, -1163.\nAnswer: -1163, -5, -3, 0, 2, 10443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10398 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 - 578*h + 97. What is the hundreds digit of l(-109)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17787 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 6) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j, -2*c + 5*j = -5 + 3. Let x be (-2 - -2) + c - 2. Calculate the smallest common multiple of -1 - (-10 - (-2 - x)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22012397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 7207454 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1711610492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/840 and 101\/110.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49.1 - -48.8. Which is the fourth biggest value?  (a) -4\/11  (b) -2\/31  (c) k  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*s + 617 = -895 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from imqiqbqiqjdqqqjmmm. What is prob of picking 1 b and 3 q?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 517 divide 3747907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 513482535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*s**5\/3 + 712*s**4\/3 + 32975*s**3 - 375022*s**2\/3 + 290764*s\/3 + 38664 = 0. Calculate s.\nAnswer: -81, -2\/7, 2, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 18. Let h be b(-13). Let l be (-2 + 2)\/(-3) + -1. What is the closest to 0 in h, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25326*y - 150 = 25320*y. Solve 5*z + 24*v = y*v - 21, 0 = 3*v - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 12:05 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -c**6\/40 - c**5\/30 + 3*c**2\/2 + c. Let q(f) be the first derivative of w(f). Find the third derivative of q(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 67 - 105250.\nAnswer: -105183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 1 = 1525*n - 1526*n, -3*p - 72 = -20*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 564352874 to the power of 1\/2, to the nearest integer?\nAnswer: 23756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/13*237016\/(-22790)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -135, -341, -683, -1161, -1775, -2525, -3411?\n\"Answer: -68*p**2 - 2*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2)*396\/(-9). Let q = y + -6. Solve -5*i = -3*z + q, -3*z - z = i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 - 2*v**2 + 0*v**2 - 16*v**2 in the form y*v**2 + f + j*v and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.5, 140, 1\/4, 2, -2, -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2  (b) -3  (c) 188  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001 (base 6) in base 8?\nAnswer: -2421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*m)*((-3 + 1 + 1)*(2 - 3 + 2) + (-3 + 0 + 1)*(-3 + 5 - 3)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3868 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/4)\/((-9)\/324)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -344*n + 688*n + 1305 = 315*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -190*d - 13. Calculate o(1).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/14 and -11\/102.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9362 + 38039\/4. Let z = m + -151. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/69 + 4\/12\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 43 + -69. Let f be a\/(-6) + 6\/9. Suppose 3*h + 9 = -f*g + 6*g, h = 2*g - 13. Solve -3*v = -5*v + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.336407638 to 4 decimal places.\nAnswer: 5.3364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79d8 (base 15) to base 11.\nAnswer: 18473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-2 - (3 - (-3 - 5))) + 8 - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of a**3\/3 - 4*a**2 + 3*a + 10. What is b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7296206 * 0.9.\nAnswer: -6566585.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 - 12 = 3*j. Let y = j + -21. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-5)*90\/(-36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 4*k**2 + k + 78. Calculate the remainder when 659 is divided by s(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 565427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 628*k - 638*k + 185 = -f, -11*f - 43 = -6*f - k - 0*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o - 3044 + 764 + 770 + 753 + 757 - 9*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 68136 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 3*z - 8. Let l(v) = v + 5. Let n be l(-13). Let t be w(n). What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from uupup?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 238 + -238 + (20 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5020 + 5020. Solve z = -5*f - 5*v + 3*v - 28, -12 = 3*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**5 - d**4 + d**4 + (-8 + 8 - 4*d**4)*(-d + d + d) - 5*d**5 + 2*d**5 + 2*d**5.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to 121\/364447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 20*d**2 + 2*d - 27. Determine p(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-41648242)\/(-4053) - 4\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -14*c**2 + 13. Let k(m) = -15*m**2 - m + 14. Calculate -6*k(f) + 7*u(f).\nAnswer: -8*f**2 + 6*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 4477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 468032391 to the power of 1\/2, to the nearest integer?\nAnswer: 21634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*i + 54 = i, 45 = -4*l + 3*i. What are the prime factors of ((885\/l)\/(-5))\/(8\/24)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u + 155 + 35 = 0. Solve q - 4*v = -12 - u, -q = -5*v + 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13370 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -1133255436?\nAnswer: -1133255432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**4)\/g)\/g**(-17\/5))\/(g\/(g\/(g\/g**1))*g\/(g\/g**(-1\/22))))**(-45) assuming g is positive.\nAnswer: g**(-7371\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jqqjq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a + 4. Let z be n(2). Let f(w) = -15*w**2 - 2*w + 21. Let g(k) = -7*k**2 - k + 10. Let o(i) = 6*f(i) - 13*g(i). What is the tens digit of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -178, 0, -1, 40, 5 in descending order.\nAnswer: 40, 5, 0, -1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 6*x. Let w(n) = -11341*n + 2. What is c(w(s))?\nAnswer: -68046*s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*n = 19*n + 175210. List the prime factors of n.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59936916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16102577 is divided by 18424.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.041 and -193908 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 71*v**4 - 4*v**3 - 86*v**2 - v - 437852 wrt v.\nAnswer: 284*v**3 - 12*v**2 - 172*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**4 - 2*q**2 + 2*q**2)*(-2 - 1 + 1)*(5*q + 19*q - 10*q).\nAnswer: -112*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-189))\/(50*(-20)\/(-1400))*6?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.39093 times 31\nAnswer: 105.11883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 10 = -2*h, -g + h = -5*g + 5. Suppose -4*l + 25 = l. Which is the nearest to g?  (a) -3  (b) l  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102 (base 11) to base 9\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/3)\/(4032\/187488)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**4 - 3*m**4 + 2*m**4 + (-2*m + 0*m + 0*m)*(-6 + 7*m**3 + 6)*(-17 + 7 + 12).\nAnswer: -26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h - 320. Let n(x) = 9*x. Calculate b(n(o)).\nAnswer: 9*o - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -538421  (b) 1  (c) -5  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11981685.14571 + 11982743. Let k = -1057.8 + v. Let j = 0.055 - k. Round j to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 17*z + 7 = -18*z, f = -2*z + 11. Let v(b) = -6*b**3 - 5*b**2 - 5*b + 1. Let a(w) = 5*w**3 + 4*w**2 + 4*w - 1. What is f*a(l) + 4*v(l)?\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a521 - -3?\nAnswer: a524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1654*n = 1657*n - 2082. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -6 - (2 + 5)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5130740 and 2?\nAnswer: -10261480","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.040236 + -0.019147. Round s to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -692a912 (base 11) to base 7\nAnswer: -205016423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = 11*d - 24. Calculate the lowest common multiple of 11 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.004 + 0.074. Let v = -40 - -39.43. Let w = k + v. What is the nearest to 0 in -0.1, -1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40121\/49 + -819. Let m = 306\/539 + v. Let j = 0.02 + 1.98. Which is the third smallest value?  (a) -1\/2  (b) m  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -8 + 0*h**6 - 131\/42*h**7 + 10*h + 3\/2*h**3 - h**2 + 0*h**4 + 0*h**5. What is the second derivative of t(u) wrt u?\nAnswer: -2620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -126, -556, -1264, -2244, -3490, -4996, -6756?\n\"Answer: q**3 - 145*q**2 - 2*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10 - -3) + (-4257)\/(-602))\/((-2)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (w + 0*w + 0*w)*(-8*w**2 + 2*w**2 + 756*w**3 - 754*w**3) as o + a*w**2 + c*w + i*w**4 + v*w**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10828 - 10840.67. Which is bigger: -0.4 or m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-10))\/(27\/(-90)). Let r(u) = -8*u**3 - 5*u**2 + 2. Let l(n) = -7*n**3 - 4*n**2 + 2. Give o*r(h) + 5*l(h).\nAnswer: -3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 5348410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2113\/7 - 4219\/14. Suppose 2*k - 2 - 20 = 0. Suppose k = -4*m - 13. Which is the biggest value?  (a) x  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 21*d**2. Suppose 33*y + f = 37*y + 20, 4*y - 4*f + 20 = 0. Let h(q) = -2*q**3 + 41*q**2. What is y*j(b) - 3*h(b)?\nAnswer: b**3 - 18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 550 - 549.9. Which is the closest to 0?  (a) -1  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*v**2 + 156*v**2 + 54*v**2)*(4*v**2 + 3*v**2 - 3*v**2).\nAnswer: 964*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.537 - -0.137. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.39?  (a) 0.3  (b) -0.5  (c) 12877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -5*m + 3*r, 4*r = 5*m + 21 + 57. Let l = 18 + m. Let d(k) = 2*k - 9. Let a be d(6). Put l, -0.4, a in increasing order.\nAnswer: -0.4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76708.\nAnswer: 2, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 7*g**2. Let s(z) be the second derivative of -z**7\/840 + 5*z**4\/4 + 16*z. Let d(j) be the third derivative of s(j). Determine d(q(f)).\nAnswer: -147*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(366\/1281 - (2\/(-7) - 429\/21)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4123, -4129, -4145, -4177, -4231, -4313, -4429?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 + 2686*i - 8443592\/3.\nAnswer: 2*(i - 863)*(i + 4892)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 9 = 1. Let o be (i - -4)*2\/(-8). Which is the second smallest value?  (a) 15  (b) o  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -98, -115, -160, -245, -382, -583, -860?\n\"Answer: -2*t**3 - 2*t**2 + 3*t - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 711 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/3))**44)**15 assuming b is positive.\nAnswer: b**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 - 7. Let c = 6 - l. Let j = -70\/3 - c. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 78.09 + -77.89. Let w = 2.2 + 0.8. Which is the third biggest value?  (a) w  (b) 2\/9  (c) g  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33326 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -23*a + 10. Let c be s(3). Let h = c + 60. Solve -2*p = 3 + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1950, 2065, 2248, 2493, 2794, 3145, 3540?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jdddddddddddgfgdddf. Give prob of sequence dfgg.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 319 divide 6266117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from {j: 4, s: 1, o: 5, i: 8}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 436866 and 12?\nAnswer: 873732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47245, 47239, 47221, 47185, 47125, 47035, 46909?\nAnswer: 46741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1)**(-2\/45)*w*w**(-5)*w*w**(-3) assuming w is positive.\nAnswer: w**(-272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 4*h - 100. Let d = 37 + h. Suppose -5*l = -10, -3*g + 5*l = -58 + 14. Calculate the highest common divisor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3747401837 + -680.8.\nAnswer: 3747401156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -8*r + 10. What is k(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312521?\nAnswer: 11, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 444 and 3883668.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22215016 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l + 6. Let u be a(6). Let h be 54 - ((-3 - u) + (-11)\/11). Calculate the highest common divisor of h and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 41*x**2 + 17 - 51 - 42*x**2 - 20*x - 9. Let s be c(-13). Let g = s + -36. What is the least common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -5. Let c(q) = -7 + q**w - 8*q + 0*q**2 - q**3 - 7*q**2. Calculate c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xbxbxxxxxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19126 and 23214?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 7 = 2*g, -g - 8 - 2 = -5*x. Let v(m) = x*m**2 - 18*m**2 + 9*m**2 + 8*m**2. Let h(y) = 19*y**2. What is h(v(r))?\nAnswer: 76*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/6 + (-125)\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 6  (b) -1  (c) -12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + -13)*(-2)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -76*g + 1216. Let k(q) = -4. What is 304*k(h) + x(h)?\nAnswer: -76*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o - 17. Let s be f(0). Let y be s\/(-8) - 3\/24. Suppose -64 = -2*h - y*z, -4*h = -0*z - z - 143. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1023, -2063, -3105, -4149, -5195?\nAnswer: -6243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 12*x + 24, 0 = 7*x + 221*b - 222*b + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165336?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -30, -20, -10?\n\"Answer: 10*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -104 and 47536836.3.\nAnswer: 47536732.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/2085 and -20\/9869.\nAnswer: 148035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22\/5 in 1, -0.4, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*x - 76*x - 56*x)*(2 - 2 + 2*x).\nAnswer: -174*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17922 + 790 + 847 + 4345)*((-l + 1 - 1)*(4*l**2 - 6*l + 6*l) + 4*l - 2*l**3 - 4*l).\nAnswer: 71640*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(60)\/(1*sqrt(2)))\/(sqrt(216)\/sqrt(9)) - (2 + sqrt(405) + -5*3*sqrt(405)))**2.\nAnswer: -506*sqrt(5) + 320053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 15667838 + 18982162 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 8*p**2 + 2 - 3 - 4*p**2 + 3*p. Let h = -304 + 305. What is the smallest common multiple of 39 and l(h)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -203\/330 and -89\/14916?\nAnswer: 74580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7277471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-4\/7)*b*b**14 assuming b is positive.\nAnswer: b**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 188237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - 0)\/(11\/(-22)). Suppose n*v - 7 = 1, 4*k - 2*v - 12 = 0. Suppose -o = m - 18, -k*m - 4*o + 122 = 27. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a factor of 4645249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 530 = -v, o = -2 - 0. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3981 by -1.\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 5*b + 9, 3*b = 3*w + 4*b - 29. Let f be (-4)\/9 + w\/(-36). Let l be (12\/30)\/(28\/20 - 1)*-5. Sort f, 4, -0.4, l in descending order.\nAnswer: 4, -0.4, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9369 is divided by 62?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 2267670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + 17409852868524\nAnswer: 17409852868524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/9)*p**6*p**(-1)\/(p**(-5)\/p))**20 assuming p is positive.\nAnswer: p**(2060\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90 - ((-15 - -10) + 13 + -14 - (1 - 8)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11769*o**5 + 592*o**3 - 35285*o**2 + 11*o + 11 wrt o.\nAnswer: -706140*o**2 + 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 367721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 97, -20767 in ascending order.\nAnswer: -20767, -3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -1172*n. Let a(x) = x**2. Determine a(b(h)).\nAnswer: 1373584*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -383*y**2 + 2728*y - 2728*y to m*y + s*y**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5.2 * 1227\nAnswer: 6380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-9))\/(1\/(-3)). Suppose -5*r - 18 = -5*m + 17, -18 = 3*r - 2*m. Let z be 2\/(-8) - 17\/r. Calculate the highest common factor of z and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**3 + 3*i**3 + i**3 + (-3*i + 3*i + 2*i)*(i**2 + i**2 - i**2) + (-4*i**3 + i**2 - i**2)*(1 - 2 - 3).\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/427950307 or 1?\nAnswer: -1\/427950307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 12. What is the lowest common multiple of u and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 1 - 6)*(5 - 4 + 1) - 4 + 5 + 0)*(0 + 0 + 2*b**2)*(3*b + 0*b - b)*(-16*b - 6*b + 9*b) to the form q*b + c*b**3 + m*b**4 + w*b**2 + i and give m.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-72)\/27*((-3)\/(-12) - 1). Suppose k*q + 1 - 329 = 0. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*f + 144. Suppose -f = -23*l + 30*l. Are l and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + k - 3 = 0, 0 - 6 = 2*g + 5*k. Is -5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -148*p + 155*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 569 divided by -5\nAnswer: -569\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1778090512 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*g**3 - 81*g**3 - 69*g**3.\nAnswer: -169*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 + 8 = d. Let s = d - 12. Suppose -5*a - s = -8. Is a equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40774638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Put 9, -5, 68, 4 in descending order.\nAnswer: 68, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 5:44 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 49860 and 22160?\nAnswer: 199440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 555813495, 555813494, 555813493, 555813492?\nAnswer: 555813491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -7*s - 4. Let u be a(-3). Suppose -27133 = -495*k + 82262. What is the greatest common divisor of u and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 9957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76956*g**2 - g + g + 145 - 16 + 76951*g**2)*(0*g**3 - 2*g**3 - g**3).\nAnswer: 15*g**5 - 387*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from nnyyynyynynyyy.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, -2\/17, -1, 2, 1, -31.55, -8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -37*o**3 + 14*o**2 + 14*o + 4. Let s be j(-1). Let y be (-1 + 7)\/((-3)\/(-2)). Let z be (-808)\/(-20) + y\/(-10). Is s bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3336*n - 18861*n + 518515 + 1161142 = 7484*n for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 67 = 30. Let y = -84 - x. Let m(a) = -a**2 + 13*a + 4. Let z be m(y). Solve -4 = z*j + 4*n, -2*n - 6 = 2*j - 4*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 0. Suppose r*s + 19 = 69. Suppose -4 = w - g + 5*g, 4*w + 3*g = s. Is 4 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of -3*m**4 - m**3 - 133*m**2 + 6*m. Let i(f) = f**2. Calculate i(z(p)).\nAnswer: 5184*p**2 + 864*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 348 - 478 = 3*l + 2*g, 7*g - 7 = 0 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67713.\nAnswer: 3, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, -3, -0.3, -1.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ffzzzzzzfzfppfpzfzf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2366, 4698, 7030, 9362?\n\"Answer: 2332*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-18)*451*3. Let j = l + -422. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 - 45\/4*q**3 - 5\/4*q**4 - 25\/2*q**2 + 45*q = 0 for q.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**3 + 10*r**2 - 7*r + 18. Determine j(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7059212146 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 664\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*z + m + 148, 2*m = 5*z + 185. Let u = -23 - z. Calculate the smallest common multiple of 10 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 957667489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 8*q**2 + 36*q - 31. Let m be c(11). Factor -188*n**4 - 3*n**2 + 3*n**3 + 3*n**m + 375*n**4 - 191*n**4.\nAnswer: -n**3*(4*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6657 + -2647. Let z be (u\/(-75))\/((-220)\/15). Let v = z + -45\/22. Is 3 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 16*i - 25. Let d(a) = 3*a**2 + 63*a + 99. Let y(f) = -9*b(f) - 2*d(f). Let y(z) = 0. Calculate z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 298097568 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-2)\/v))\/v)\/(v\/(v*v\/(v*v**(2\/9)*v)))*(v**(-3\/2)\/v)**(-15) assuming v is positive.\nAnswer: v**(707\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 273 - 421 + 144 + 2*z.\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*c + 15 = 0, 3*v + c = 3*c + 13. Suppose 4*z = -z + 4*y, -v*z - 4*y + 40 = 0. Solve -z*q - 20 = -8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -68*d**2 + 1. Let u(v) = -2*v. Determine s(u(k)).\nAnswer: -272*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**5\/3 + 82*b**4\/3 + 1294*b**3\/3 + 2052*b**2 + 891*b - 3402 = 0.\nAnswer: -63, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1898886*l = -1898691*l + 15795 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*b**4 - 28*b**3 + 410*b**3 - 66*b**4 + 112*b**4 + 4*b**2 in the form x*b**4 + l*b**3 + u + t*b**2 + q*b and give l.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 3\/8, 192, -26.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/16344 and -167\/252.\nAnswer: 114408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -11. Sort 0, g, 5, -14.\nAnswer: -14, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -25b?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 + -131409.99973.\nAnswer: -131409.69973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*q**3 - 5*q**2 + 5*q**2 - 16*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -18373.46 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 393854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/4 + -2. Let x = -0.0416 + 2.0416. What is the third smallest value in f, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56 + -83. Let z = u - -51. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3\/182 + -355\/546. Which is the nearest to -5?  (a) 0.2  (b) -1  (c) q  (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.11  (b) 1  (c) -5  (d) 1\/4  (e) 1\/2  (f) 855\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 7 + 13. Let r(w) = w**3 - 11*w**2 - 12*w - 3. Let c be r(12). Let n be -1 + c\/(3\/(-3)). Sort l, 3, n in increasing order.\nAnswer: n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84 - 3*b - 59 - 205.\nAnswer: -3*b - 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 22*k - 8. Give d(17).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7087\/8 + 886. What is the second biggest value in q, -5, 11, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 3*g - 13, -7*g - 4*s + 21 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-25 + 0)*(-8)\/(-20). Let r be (x\/(-20))\/((-1)\/2). Let h = 1 + r. Solve -3*g + h*d + 5 = 2*d, -5*d + 7 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*n - 294*n - 2*n**2 + 117*n + n**2 + 2*n**2 + 92*n.\nAnswer: n**2 + 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-185)\/(-30))\/(44\/(-3)). Let p = u - -6\/11. Let x = 0.47 - 0.07. Which is the third smallest value?  (a) x  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 138 and 1106300?\nAnswer: 3318900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (14 - 10)*4\/2. Find the third derivative of -3*c + 6*c**2 + 3*c + c**2 + w*c**5 wrt c.\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 14*s**2 - 282*s + 837. Determine q(3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 18190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j + 21. Let t be l(7). Let y(h) be the second derivative of -1\/6*h**3 + t - 1\/12*h**4 + 0*h**2 + 2*h. Determine v so that y(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by (28 + -33)*(0 + (-3)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210\/(-8225)*(-65)\/39.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3678 + 3702. What is the remainder when 887 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-4 - (-49)\/12)*10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2140639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of p**7\/1680 - 7*p**6\/720 + p**5\/15 + 5*p**2. Let c(w) be the third derivative of z(w). What is the derivative of c(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 48?  (a) 5  (b) 3  (c) -3  (d) -0.4  (e) 19  (f) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 11*c**2 - 23*c - 90. Let i be u(-10). Suppose -5*y - 2*h + 61 + 10 = 0, 0 = -2*y + 5*h + i. What is the highest common factor of y and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a625 - -125a9?\nAnswer: -18027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3125324503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/(-3*(-5)\/(-20)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 11:38 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3*i**3\/4 + 564075*i**2\/4 + 1128141*i\/4 + 564069\/4 = 0.\nAnswer: -188023, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - -88. Suppose -2*w + 756 = 5*w. Is w at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -1)\/(-11*12\/(-1025508)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 17*t**3 - 687*t**2 - 2685*t + 42. Calculate a(44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -10*x - 12*x + 205 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 289 divide 306711943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2488 - -5247. What are the prime factors of k?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + n = -67, -127 + 112 = -j - 26*n - 61 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40232198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 14*o - 28. Let n be a(12). Let j(y) = -3*y - 2. Determine j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -663 - -662.91. Is 4 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 + 117. Suppose -4*s - 8 = -6*s. Suppose -9 = s*r - y. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0303 + 84.9697. Let p = u + -85.00265. What is p rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, s: 4, w: 4, v: 2, i: 1, n: 2}. What is prob of picking 1 i, 1 u, and 1 w?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 138099 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cxcccxtctccc. Give prob of picking 2 c and 1 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 949488.66 rounded to the nearest one hundred?\nAnswer: 949500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = 45. Let w be 272\/x - 20\/(-90). What are the prime factors of (-7 + 6)*w\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -177*x + 48720. What is y(275)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -46, 1668, -39 in descending order.\nAnswer: 1668, -2\/7, -39, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - (-34 + 12)) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1188\/(-1728))\/(1\/(-4) - (-5)\/(-20))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50803019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*c - 17 = -23*c + 39 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j + 11*j + 36 = -5*z, 0 = -4*j + 4*z + 112. Solve 0 = j*q - 58 - 72 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, 2\/9, 1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 1) + -19 + (5 - -15) + 37 - -7?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**3 + 18475786118 - 18475786118.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**2\/3 - 23962*i\/3 - 143544361\/3 = 0.\nAnswer: -11981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 - -18.7. Let r = 0.8 - j. Which is the third smallest value?  (a) r  (b) 5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 3:09 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 204 - 219. Calculate the remainder when 42 is divided by (-106)\/(-6) - (-7 + (-115)\/n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 93.3 - 100. Let y = 7 + x. Let z = y - 0.27. Round z to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82164 and 23775900?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -9. Suppose -2*k = 3*k + 5*v - d, 4*k - 2*v - 14 = 0. Let t(n) = n. Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1502865571 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 9*z - 5. Let v be o(6). What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 3 + -1 - 3 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5230410, -5230418, -5230430, -5230446?\n\"Answer: -2*a**2 - 2*a - 5230406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)*1 - (-5 + sqrt(567)).\nAnswer: -6*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*t**2 - t + 2*t - t to the form f + c*t + o*t**2 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 279\/504 + 1\/(-8). Which is the nearest to 1?  (a) -3\/8  (b) 7  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t + 6*t + 3*t + (-14*t - 13 + 13)*(0 - 2 + 1) in the form b + l*t and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 79, 57, 6594 in decreasing order.\nAnswer: 6594, 79, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000413746 rounded to 6 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 566 = -z - 191, 5*z = -u - 257. Let m(f) = -5*f**2 + 5*f + 5. Let y be m(9). Let h = u - y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 14*k - 75. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 3*q + 2. Let d be r(3). Let b be ((-126)\/(-5))\/(-5 - (-159)\/30). Suppose b = -p + 29*p. Solve g = -4*a + p*g, 0 = 2*a + d*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 1 - 4 - (11 + -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 706 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*v - 16*v - 9*v**3 - 5*v**3 - 12*v**3.\nAnswer: -26*v**3 - 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r - 4*q + 12 = -20*r, -3*r + 5*q - 7 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3024076883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3707140 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u + 5. Let p be l(4). Suppose 0*g + w + p = 2*g, 5*g = 3*w + 55. What are the prime factors of (-3)\/(g\/(-12) - (-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, f: 3, u: 2, l: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1383*i - 57605 + 6026 = 1011 + 8262 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22855 + -22835. Solve 9*w = 5*w + t - 16, 2*t - o = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 24*k + 7. Let j be -21 + 2 + 2 + 0. What is the remainder when s(j) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1182982639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -44992, -89318, -133652, -178000, -222368?\n\"Answer: -y**3 + 2*y**2 - 44325*y - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 17*c**2 + 22*c + 4. What is b(18)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -9*j**2 - 4*j + 64. Let w(c) = 7*c - 6. Give r(w(b)).\nAnswer: -441*b**2 + 728*b - 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/22*69\/(-4140). Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*q - 48 = 39. What is the closest to 11 in -0.5, -1\/3, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 373, 864, 1563, 2476, 3609?\nAnswer: 4968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2436, -2438, -2440?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-3 - 0) + 0 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 7:43 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/28)\/1*(-2)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 4*y - 5*h, 0 = y + 2*y - 2*h - 16. Let i = 5\/11 + -3\/55. Let p = 37\/3 - 25\/2. What is the closest to -9\/4 in p, i, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 145, 294, 821, 1954, 3921, 6950, 11269?\n\"Answer: 38*y**3 - 39*y**2 + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*y - 35*y + 2*h - 10 = 0, 0 = 4*y - h + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m**2 - 3*m. Let w = 67 - 73. Let i(b) = b**2 - b. Let l(j) = w*i(j) + 2*z(j). Let s(c) = -10*c**2 - 15*c. What is s(l(r))?\nAnswer: -40*r**4 - 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 - 3201?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -0*h - h. Let f = h + 6. Let q = 8 + f. Let z(x) = x**2 - x. What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -55*c**2. Let o(a) = 17*a**2. What is o(p(l))?\nAnswer: 51425*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 3*g**2 + 9*g - 29. Calculate u(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2. Let f(k) = -k**2 + 2*k - 1. Let d(q) = 3*q**2 + 5*q + 2. Let h(z) = d(z) + 2*f(z). Give h(x(g)).\nAnswer: g**4 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (4 - (3 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5252475 is divided by 216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, -1, -5, 9, 298, -3, 1 in ascending order.\nAnswer: -5, -3, -1, 1, 9, 54, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 190317276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 2*w - 10 = 0. Let y = 30 - w. Let h = y + -1. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 - (-49 - (-5 + -9))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j. Let k(y) = 8*y**2 - y - 162. What is p(k(a))?\nAnswer: -8*a**2 + a + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4.5, 3, -6, 165.9, 0 in increasing order.\nAnswer: -6, -4.5, 0, 3, 165.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 35 = 10*a - 0*a. Solve -x - 4*c + 8 = 0, -2*x = a*c - 9*c - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 94 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -31*c**5 - 10*c**2 - 1. Let a(u) = u**5 - u**2 - 1. Let l(i) = a(i) - p(i). Find the third derivative of l(x) wrt x.\nAnswer: 1920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 303*y**2 + 126*y + 15. List the prime factors of h(5).\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7818, 9065, 10310, 11559, 12818, 14093?\nAnswer: 15390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.01 - 0.51. Let w = 0.01 + 4.99. Sort b, 0, w.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nenewnewewww. What is prob of sequence wee?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {t: 3, v: 1, y: 13}.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 125512926 divided by 41837642?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 250 and 29180020.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 3, f: 2, e: 3, c: 7, a: 1, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -b**7\/504 + b**6\/72 + b**5\/8 + 15*b**4\/4 - 43*b - 2. Let x(q) be the third derivative of o(q). Factor x(u).\nAnswer: -5*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3850?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 976854 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n**5 - 5*n**5 + 4*n**5 + (7*n**4 + 0*n**4 - 4*n**4)*(0 + 0 - 3*n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1345730 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - -6 - (-28 + 40 - 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26603 - 3673.\nAnswer: 22930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39839 = -43*m - 127349 - 150022. Are -5526 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84066, 82359, 79516, 75537, 70422?\nAnswer: 64171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40387, -83632, -126877, -170122?\nAnswer: -213367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - q = -140, 0*q - 3*q = -4*c + 156. Calculate the remainder when 151 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 6:47 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 24637760 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19\/152*36)\/((-45)\/72).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/178442 and -23\/328.\nAnswer: 29264488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199 - 8*a - 199.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 105425 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -83199?\nAnswer: 83204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*j + 13*j + 3, 0 = -2*q + 2*j - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 4 + 1. Let u = 14 + -11. Let v(w) = 0*w**3 + 4*w**u - w**3 - 4*w**2 + 2 - 4*w**3. Determine v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 - 3*x + 8. Determine i(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*a + a. Suppose -125*c + 74*c - 102 = 0. Sort c, 2, a.\nAnswer: c, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/196 and -1\/420.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 4*d = 13, 16 = -4*y - 20*d + 22*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.6 - -2. Let s = -4.87 - 0.13. What is the nearest to 1 in -3, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 607 = 52*s - 69 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*i + 30 + 13231*i**2 - 30 - 7*i.\nAnswer: 13231*i**2 + 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((0 - 8\/64)\/((-8)\/144)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 374 + -232. What are the prime factors of l?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/20)*t**(-1\/3)*t\/t**(2\/21))**(-48))**12 assuming t is positive.\nAnswer: t**(-12528\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -24 - 142a?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15.05 - -10.02. Let o = t - -0.03. Let i = o - -4. Which is the nearest to i?  (a) -2\/15  (b) 3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34498844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000639731183 to 7 decimal places.\nAnswer: 0.0006397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 1. Let o(p) = p**3 + 8*p**2 + 8*p + 3. Let y be o(-7). Let f(u) be the second derivative of u**3\/3 - 2*u**2 - u. Give y*a(t) - f(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000368 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of b**5 - 272061566*b**3*m - 185456*b**2*m + b*m + 86*m wrt b?\nAnswer: 60*b**2 - 1632369396*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.66367766 to one dp.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -6. Let -2*u**2 - 4*u**3 - c*u**4 - 3*u**2 + 3*u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g\/(g*g\/(g\/g**22)*g*g*g)*(g**(4\/11)*g)\/g*(g**(2\/11))**47 assuming g is positive.\nAnswer: g**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.06 + -1.1. Let d = p - 0.26. Which is the second biggest value?  (a) 3  (b) d  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5927 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = g - 4*g + 1462, 5*g = -b + 2436. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 16*z - 20. Let q(i) = -23*i + 29. Determine -7*c(p) - 5*q(p).\nAnswer: 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 23 + -656 + 653\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 220752961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.008 - -0.00724. What is c rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15641*h**5 + 2*h**2 - 661*h + 6 wrt h?\nAnswer: 938460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1745500?\nAnswer: 2, 5, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 136 + 368. Let x = l - 479. Calculate the greatest common factor of x and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 - 5738*d**2 - 120057*d.\nAnswer: -d*(d + 21)*(d + 5717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152 is divided by (-28)\/(-266) - ((-188)\/19 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f*t**3 + 2*f*t**2 + 182008*f*t - 7*f - 50*t**3 - t**2 + 13135 wrt f?\nAnswer: 2*t**3 + 2*t**2 + 182008*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 60*r**3 + 57*r**3 - 2)*(0 + 0 + 1) + (-11*r + 10*r - 16*r)*(4*r**2 - 2*r**2 + 3*r**2) to q*r**2 + t*r**3 + p + m*r and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -68949773*d**2 - 20908*d - 2923 wrt d?\nAnswer: -137899546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*t + 2424 = 76*t - 7*t. Factor 60*d + 75\/2*d**2 + t.\nAnswer: 3*(5*d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 2*z - 7641 = -7668, -2*a + 54 = 5*z for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1173, -1386, -1757, -2298, -3021, -3938, -5061, -6402?\n\"Answer: -2*v**3 - 67*v**2 + 2*v - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rttq when four letters picked without replacement from {r: 2, t: 8, s: 1, q: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*u - 14, -3*u + 2*x - 7 - 27 = 0. Let g(a) be the third derivative of a**6\/120 + 7*a**5\/60 - 5*a**4\/12 - 2*a**3\/3 - 2*a**2 - 24. Determine g(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 250.\nAnswer: -3\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -3*q + 4*l + 10, 3*l - 112 = -4*q. Let n = 44 - q. Let d = n - -16. What is the remainder when d is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeezezfgeegegzeeege. What is prob of picking 1 g and 2 e?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.04 + 3. Let a = 0.040014 + x. What is a rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, l: 2}. What is prob of picking 4 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 g when four letters picked without replacement from bppbppppggpgpbgp?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*s + 949 = 2587. Let o be 3 + s\/(-18) - 1*-3. Which is the biggest value?  (a) o  (b) -3  (c) -5  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -267 + 271. Which is the closest to 4?  (a) -2\/3  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2)\/(6\/24)*(-2)\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -314, -306, -296, -284?\n\"Answer: i**2 + 5*i - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 + 9*z**2 + 10*z - 2. Let l be y(10). Let n(w) = w - 1. Let h be n(l). Calculate the common denominator of 58\/5 and 498\/21*((-9)\/h)\/(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2081 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -52755 greater than or equal to -52790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 9 - (1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*r)*(2 + 1 - 6) - 2*r + 2*r - r + (1 - 1 - 2)*(-4 + 3*r - r + 6) + 4*r - 3*r + r - 40 + 40 + 17*r.\nAnswer: 8*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16372336199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of 2*b**5\/35 + 11*b**4\/14 + 933. Find k, given that u(k) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/4)\/(1\/(-2)). Let k(d) be the first derivative of -d**2 + d + 10. Let t(o) = o. Calculate p*k(i) - 4*t(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123 (base 11) to base 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 201222*(-28)\/(-840)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20 - 19)\/((-1)\/(-113)). Let k = -109 + v. Put 8, k, -5 in descending order.\nAnswer: 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4510 + -4325.1. Round o to the nearest integer.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, 1\/2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -51.8 + 51.758. Let f = -0.248 + 0.8. Let s = f + a. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27*(3 - (3 + -3)). Let r = n + -17. Let y = 225 - r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.1175 less than -0.1?\nAnswer: 43.0175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*t**2 + 40*t - 4 = 0. Calculate t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(28) - sqrt(7) - (sqrt(35)\/sqrt(125) - sqrt(7))) + (sqrt(252) - (3 + (2*sqrt(252) - sqrt(252))))**2 + 1*sqrt(252) + sqrt(252) + 0.\nAnswer: 9 + 49*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -63 and -0.093.\nAnswer: 5.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 divided by -233241?\nAnswer: 44\/233241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 551*n**2. Let m(q) be the first derivative of -q**5\/30 + 55*q**2\/2 - 110. Let w(s) be the second derivative of m(s). Determine w(o(x)).\nAnswer: -607202*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3831*f = -7621*f + 3815*f + 275 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(2\/7)*c)\/(c*c*c**(-35)*c*c)*(c**(2\/31)*c)**(-21))**(-1\/12) assuming c is positive.\nAnswer: c**(-593\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ook when three letters picked without replacement from ygzykozoyzyykyogzy.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**3 + 25*r**2 - 20*r - 207. Let z be c(-13). Suppose 3*p - 40 = 302. Let f = z + p. Let a(d) = -d**3 + d**2 + 3*d + 1. What is a(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d - 81 + 27 = -d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v - 1. Let q(j) = j**2 + 5*j + 3. Let g(d) = q(d) + 4*w(d). Let h be g(3). Find the first derivative of -h + 3*b**3 + 40 - 19*b**3 wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x + 10. What is f(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 125 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, h: 1, u: 1, z: 3}. What is prob of sequence zhk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11258 - -5?\nAnswer: 1125d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**3 + 5*u**2 + 3*u - 7. Let c(k) = -3*k**3 + 8*k**2 + 5*k - 11. What is -5*c(w) + 8*y(w)?\nAnswer: -w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 106298341 and 1571828.\nAnswer: 107870169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*b - 290156 = -50176, 0 = 2*f - 2*b - 160008. What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 488.814 + 0.186. Let d = k - 493. Suppose 2*y - 3*r - 1 - 7 = 0, -5 = 3*y + 4*r. Which is the nearest to 0.1?  (a) -0.5  (b) d  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(20\/(-4))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, 0.24, -0.5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87412 is divided by 514.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/10)\/((-32)\/(-400)). Let f be (-5)\/30 - (-26)\/12. What is the common denominator of (-3 - 75\/v) + f and -58\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/1090056837 or -1?\nAnswer: -2\/1090056837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -304 (base 16) in base 10?\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55085524 by -134.\nAnswer: -411086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + sqrt(57)\/sqrt(3)*-3)**2.\nAnswer: -6*sqrt(19) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1416543041?\nAnswer: 1416543041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 12*n**2 + 8*n - 8. Let g(c) = 13*c**2 + 7*c - 9. Let p(b) = 3*g(b) - 2*i(b). Is p(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 837b9 - -d60?\nAnswer: 84739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1642413738 divided by -942\nAnswer: 1743539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1233499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3 - (-292545)\/(-105))*(-1 + 76\/(-8)).\nAnswer: 2, 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33277079 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -359 + 359. Which is the closest to 16?  (a) -2\/5  (b) 2\/5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-5)*17\/34.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of 5*q**3 + 123*q**2 + 96*q + 49. Factor i(g).\nAnswer: 3*(g + 16)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 14, e: 1}. Give prob of picking 2 u.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 10*d - 17. Let k(n) = -28*n + 50. What is -4*k(a) - 11*l(a)?\nAnswer: 2*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -222 and -10500\/47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*l - 3*q + 10, -20 = -5*l - 5*q. Let g be -3*7\/(-315) - 2\/5. Which is the closest to g?  (a) l  (b) 3\/4  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyaa. Give prob of sequence ayy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 157\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of 0*r + 1\/8*r**4 + 0 + 2*r**2 - 1\/2*r**3 + 1\/40*r**5. Let a(k) be the first derivative of n(k). What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.04 - 27.361. Let i = 115.6 + -87. Let x = i + o. What is x rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.275069m in centimeters?\nAnswer: 127.5069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -0.1, -0.6, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*g + 1415 + 180 = -250. What is the remainder when 241 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -998307, -2, -1.\nAnswer: -998307, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1244 - 1248. What is the nearest to 2\/5 in c, 4, -0.3, -13.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 64844441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55.087 + -0.087. Let u = h + -55.5. Which is the biggest value?  (a) u  (b) 1  (c) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 7*j + 4. Let l be f(0). What is the third derivative of -160*o**2 + 44*o**3 + 32*o**4 - 44*o**3 - 32*o**l + 156*o**6 wrt o?\nAnswer: 18720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - 3*2\/(-3). Let j = -134859\/10 + 13474. Calculate the common denominator of 3\/x - (-286)\/90 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -1058*b + 1055*b. Let x be -5 + -18*11\/b. Factor 3\/4*z**2 + 1\/2 - 1\/4*z**3 - 1\/4*z**x + 5\/4*z.\nAnswer: -(z - 2)*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84\/1386*(-385)\/(-105)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/33882 and 23\/84705.\nAnswer: 169410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2 - 4 = 2*m, 3 = -n - 3*m. Sort 4, n, 3.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*v + 35*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1281 and 307013?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -554.7 - -555. Which is the nearest to 2\/3?  (a) 2  (b) -3\/8  (c) h  (d) 11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 75994*k**4 - 150246 with respect to k.\nAnswer: 303976*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 128661 + -5403119\/42. Let u = f + -85\/6. Let p = 255 - 254.7. Is p equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(-8*s + 3 + 4 - 5).\nAnswer: 16*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 10 = -2*n, 0 = -5*d - 2*n - 37 + 119. Let v be 148\/d + (-8)\/36. What is the units digit of 46\/6 - v\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.04 + -0.04. Let l = -0.9 - -0.5. Let h = -0.1 - l. Sort 0.5, h, d in descending order.\nAnswer: d, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-12))\/(s*s\/((s*s**(5\/6)\/s)\/s)))\/((s*s*s**(9\/4)*s)\/s*s*s**(-12)) assuming s is positive.\nAnswer: s**(211\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 297c + 2c?\nAnswer: 29ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (144576\/40 - 0) + (-6)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 83.91 - 84. Put -4, o, 3, -1 in decreasing order.\nAnswer: 3, o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 134 + -133.999991. What is p rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 5*k + 4*c - c, 2*k + c - 13 = 0. Let q be (-2)\/8 - 94\/k. Let l = 16 + q. What is the smallest common multiple of l and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 divided by -186?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 588*a = -125*a - 127*a - 80*a + 41400 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 784147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2)*((-1 - 2 + 1)*(-4*z + 3*z - z) - 2 + z + 2 + (1 + 0 + 2)*(4*z + 4*z + 0*z)) to q*z + y and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a12 - 3?\nAnswer: -a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1018 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3142947917 to the nearest integer?\nAnswer: 56062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1111\/10 bigger than -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 751767658.\nAnswer: 2, 375883829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 11. Let s(q) = -z*q**2 - 1 + 1. Let f(h) = 402*h - 801*h + 400*h. What is f(s(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mn when two letters picked without replacement from immicieeciiimncc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -39. Suppose h = t - 16 - 10. What is the highest common factor of 78 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -49*w**2. Let k(v) = -8*v. Determine k(y(f)).\nAnswer: 392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + i - 25 = 0, 20*i - 45 = 5*x + 15*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**5 + 194*b**4 + 8351*b**3 - 106670*b**2 - 130764*b + 228888 = 0.\nAnswer: -102, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by 397.\nAnswer: -17\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 59*u**3 - 879*u**2 - 86*u - 46. Give d(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 332526303 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 190 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50.105 - 50. What is o rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 3.6, -0.8, 0.06, 1\/4, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 8:04 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -285*x - 1163*x + 484*x.\nAnswer: -964*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -279 - -284. Solve 0 = l*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 2*c + 36. Determine o(11).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**2 + 5080*c + 5079 = 0. What is c?\nAnswer: -5079, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2340 + -50063?\nAnswer: -52433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17b9 (base 13) to base 15.\nAnswer: -10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 385433?\nAnswer: 385433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 14276383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 9. Let c be u\/5 + 22\/(-5). Let h be (c\/6)\/((-44)\/3). Does 0 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 139 - 71. Let t = s + -63. Solve 0 - 3\/2*x - 3\/2*x**3 + t*x**2 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 - 29052*l + 105502338.\nAnswer: 2*(l - 7263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 - 15. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 5*p**4 - 43*p**3 + 15*p**2 + 79*p - 56 = 0.\nAnswer: -7\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -39 + 209. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11  (b) 2\/7  (c) -0.054  (d) -73  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -4, 0.5, -0.15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.04 + -5.04. Let s = a - -5.2. What is the second biggest value in 0.5, s, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - 3*(-2 + -23) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87 times 0.12?\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4128573 or 1?\nAnswer: -1\/4128573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 18 = 3*i. Suppose 0 = i*u - u. Suppose -3*v = v - 16. Solve v*h = -u*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 451871?\nAnswer: 7, 64553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-14) - (-8)\/(-140)*5. Let k(l) = -181*l**2 - 2*l - 2. Let v be k(m). Let j = -126 - v. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*n - 23 = -3*s, 0 = -2*s - n + 7. What is the second derivative of d - 2*d - 3*d + s*d**3 - 3*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j**2\/5 - 2179*j\/5 + 229442 = 0. Calculate j.\nAnswer: 890, 1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 8*m - 16. Let l be u(7). Let z = l - -19. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/228 - -47\/836. Let u(v) be the second derivative of -x*v**3 - 1\/66*v**4 + 0 - 1\/11*v**2 + 5*v. Suppose u(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-90)\/(-20))\/(-1))\/(18\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -5374\nAnswer: -5\/5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 69 = -z. Suppose 2 + z = 5*u. Solve 1 = 2*q + 5*o + u, q = -4*o - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208339 is divided by 450.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3888 and 173502.\nAnswer: 1388016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 342290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 13 = -4*u, 3*v - 3*u - 7 = 2*u. Let k(j) = -9*j + 1. List the prime factors of k(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2042346 (base 11) to base 2\nAnswer: -1101110000000100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -15194, 49, -4 in increasing order.\nAnswer: -15194, -4, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3205 + 3210. Sort -810, i, -1 in decreasing order.\nAnswer: i, -1, -810","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 74487648 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 245485*z**6 - 88724*z**2 wrt z.\nAnswer: 29458200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - -15. What is the remainder when 55 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 88.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 105. Let n be p(0). Let c = 2 + -8. Let w(s) = 2*s**2 + 7*s - 9. Let v be w(c). Calculate the highest common divisor of v and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - 2*g + 9. What is p(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, c: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6481 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2 = -4*b - 1, -5*b = 5*d - 20. Suppose i + 1 = -5*f - 4, 4*i + 4*f = -52. Let t be i\/(-4) + 8\/32. Solve -d*w + c + 3*c = 0, -t*c = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 120 and 31280.\nAnswer: 93840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - -21 - (-4 + 6))*47 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11*1196\/(-253) + 30\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 79794 - 879012\/11. Let h(v) = 38*v + 2. Let a be h(3). Let j = a + c. Is j at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-12)\/((x\/(x**23*x))\/x) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (36*(-33)\/22)\/(-2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1199 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**3 + 2*m**3 - 16*m**3 + 2*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -5. Let x = 56.007 - 56. Let m = -0.193 - x. Which is the closest to 0.1?  (a) 3\/2  (b) m  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131000222 (base 4) in base 12?\nAnswer: -58922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1, 3\/38, 0.6, -2\/11, -23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-135)\/3)\/(6\/(-4)). Let y = -15 + g. Suppose 5*d + 3*i - 34 - 42 = 0, -5*i = y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of 179*a**4\/12 + 54*a**2 + 77*a. Differentiate n(p) wrt p.\nAnswer: 358*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 7 + -19 + 17 - (3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 38*i**2 + 9*i + 1175. Give r(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = 4*u. Suppose 3*p - 3 = 0, 7 = 3*y - u*p + p. Let 1\/2 - 1\/2*q**2 + 3\/4*q**y - 3\/4*q = 0. What is q?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3374*n**2 + 1679*n**2 + 1626*n**2.\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f - i + 48 - 30, 101 = 8*f + 5*i - 40 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 931984 divided by -496?\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*g**2 + 103*g**2 - 265*g**2.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u - 5*u + 0*u)*(7 - 12 - 2)*(-2 - 3 - 2*u + 3) to j*u**2 + k + a*u and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 12) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 303320 + -22?\nAnswer: 303232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 13287*n - 27. Let a be j(21). Suppose 0*m + a = -m. What is m rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/2052736 and 131\/1896?\nAnswer: 6158208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -0.12, 0.2, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 8 + u**2 + 2 - 2.\nAnswer: u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6034 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 2 - 8)*(3 - 7 - 4) - 1 + 3 + 0 - 3 - 3 + 4 + (-2 + 0 + 0)*(-3 + 2 + 3))*(-10 + 3*q + 10)*(-1 + 0*q + 5*q - 7*q) as h + z*q**2 + j*q and give z.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1216*-0.5.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 9*f - 55. Let u be 6*(f + (-26)\/6). Sort 9, 5, u.\nAnswer: u, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 + 89. Which is the third smallest value?  (a) 25\/4  (b) 1\/10  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -179 - -16. Is (1\/(-1))\/(1\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 368695 + 12?\nAnswer: 3686a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35.2 + 31.42. Let r = d - -2.78. Which is the closest to -2?  (a) 5  (b) r  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 730 a factor of 22791510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2593185 divided by -2593185?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, a: 13}. What is prob of sequence ay?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5431520 is divided by 15300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 230*f**2*y**5 - 29*f**2*y**2 + 9*f*y**5 + 2*f*y**2 - 358*y wrt y?\nAnswer: 13800*f**2*y**2 + 540*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2154 + -2158. What is the closest to n in 4\/7, -0.1, 9.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/3 - (-249432)\/(-6 + 12). Suppose -3*c + 10*c - m = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.93 - 0.07. Let j = -0.039 - -0.039. Which is the second smallest value?  (a) 2\/7  (b) j  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-12)\/27*6)\/2)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 90\/8 + 2\/(-8). Is n + 148 - (1 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-24)*-1*-9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.073326 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143558873?\nAnswer: 3, 17, 23, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c**3 + 76*c**3 - 28*c**3 - 33*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -372, -6, 3 in descending order.\nAnswer: 3, -6, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, i: 2, f: 2, o: 3}. Give prob of picking 1 p, 1 f, and 2 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -4 + 28. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**5\/10 - 61*o**4\/4 - 5*o**3\/3 + 3*o**2\/2 - 136*o. What is the second derivative of b(h) wrt h?\nAnswer: 12*h - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/(-2028)*24986\/(-155)?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10362 is divided by 2383?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d1 - -c2?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 14*a**3\/3 - 2*a**2 - 1249*a - 3. Differentiate u(o) wrt o.\nAnswer: 28*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 141\/8 - 12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 5. Let t = 1158\/79 - 3632\/237. Which is the third smallest value?  (a) u  (b) -5  (c) -4  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46*0.5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 380073, 380232, 380391, 380550, 380709, 380868?\n\"Answer: 159*d + 379914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-60)\/(-9) - (-40)\/(-15). Let m(i) = -3*i - 9. Let o(f) = -3*f - 10. Calculate l*o(k) - 5*m(k).\nAnswer: 3*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 33 + 53. Let j = a + -31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16588?  (a) -3\/4  (b) -0.2  (c) 13  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 69 + -2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1406836 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 616.99999474 + -617. What is i rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*j - 88*j - 9 = 0. Suppose -10 = -v - 7. What is the remainder when j is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b - 22. Let n(d) = 6*d - 22. Let h(v) = 5*n(v) - 6*s(v). What is the units digit of h(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(537 + 416 - 225)*(-g + 5*g - 2*g + (2*g + 2*g - 2*g)*(-5 + 4 + 2)).\nAnswer: -5824*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -733*n = 731*n - 1466*n - 5*u + 39, -u = -4*n - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4\/79 + -446\/553. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*c - 3*z, -c - z - 2 = -2*c. What is the common denominator of 4\/((-192)\/87) + c\/(-12) and -77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7626, -7627, -7628, -7629, -7630, -7631?\nAnswer: -7632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 816722397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 + 20. Suppose 3*b + q = -5*j - 2, -5 = b + 2*j. Solve u = -4*i + 9, b*i - 9 = 2*u - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {b: 3, e: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2966*q + 2954*q - 5919*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 850.0002628 + -850. Round s to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h**2 + 954*h + 31924. Let f be a(-280). Suppose 10\/3*p**3 + 0*p**2 + 0 + 0*p - 1\/6*p**f = 0. What is p?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3427420463 to the power of 1\/2, to the nearest integer?\nAnswer: 58544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105364, -106457, -107550, -108643?\nAnswer: -109736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 2:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1138841279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 20, 14, 8, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 21. Find the third derivative of -7*f**p + 175*f**2 - 2*f**3 + 2*f**3 - 160*f**2 wrt f.\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 482114742 + -2?\nAnswer: 482114740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 5)*(0 - 4 + 2)*(1 + q - 1)*(0 - 2 + 6) - 7*q + 13*q + 12*q to o*q + a and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iftl when four letters picked without replacement from {f: 6, t: 4, i: 3, n: 1, l: 1, w: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -2, 26, -0.5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -2248) + (-5 - -1)\/4. Is (d\/20 - -3) + 4\/(-10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 7*m**2 + 28. What is v(10)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 177 - 124. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, m: 6, u: 6}. Give prob of picking 1 h and 3 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of -z**5\/45 - 19*z**4\/18 - 68*z**3\/9 - 4*z**2 + 4. Suppose d(m) = 0. What is m?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (58\/(2552\/165))\/(2\/16*-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -15*n - 4*n - 21*n - 3*n. Let w be 1 + 6\/(-4) - (-39)\/(-26). List the prime factors of l(w).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - c = 7608 + 39503, -2*u - 6*c + 47062 = 0. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n = -7*n - 18. Suppose 40 = n*j - 5*j. What is the smallest common multiple of 14 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r**3 + r - 4. Let j(f) = -f**3 - 1. Let x(a) = 3*j(a) - v(a). Let d(s) = -4*s**3 - 2*s**2 + 3*s - 3. What is -d(k) - 3*x(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 368*o**2 - 119*o**2 - 116*o**2 - 122*o**2 - 2.\nAnswer: 11*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/2 and 113\/152306.\nAnswer: 152306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 22\/6 - (-5)\/(-45)*-3. Suppose -a = 3*g + 435, -g - 3*a = -x*g - 435. Let i = g - -209. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*r - 18573 - 28152 = 0. List the prime factors of r.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-6)\/(-21))\/((-60)\/2373*-1) and 1\/9*58 - 1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -5\/6, -110, 1, -1, -2, -7.789?\nAnswer: -7.789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122 (base 11) to base 8.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((5*1*sqrt(104))\/(sqrt(64)\/sqrt(128)))**2 + 3 + sqrt(208)*-2 + 3.\nAnswer: -25994 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -7*r**4\/2 + 384*r**3 - 11931*r**2 + 6724*r + 186. Factor h(d).\nAnswer: -2*(d - 41)**2*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 2 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1552*k = t - 1550*k + 40, -2*t + 4*k = -64 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3756*m**5 + 25152*m**4 - m**2 + 37850339.\nAnswer: 225360*m**2 + 603648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 261 - 142. Let s = 260 - u. What is the highest common factor of s and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5887 = -5*a - 2*c, 4*a - 4703 = 142*c - 137*c. What is the greatest common factor of a and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(98) + (-1*sqrt(98) - sqrt(98)) + 4 + (sqrt(98) + 2 - sqrt(98)) + 6*(-2*((sqrt(98) - (sqrt(98) + 0 - sqrt(98))) + 3))**2)*-4.\nAnswer: -10300 - 4004*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + 0. Let p(s) = 5*s - 5. Let u be p(z). Does 5 divide 2\/((-3)\/(u\/(-6)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 12:06 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34800 and 610450?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/7))**(-5\/6) assuming k is positive.\nAnswer: k**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6124, -6144, -6164, -6184?\nAnswer: -6204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 133, 91, -19, -233, -587, -1117?\n\"Answer: -6*g**3 + 2*g**2 - 6*g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2*l - 55, l = 2*s - 7*s - 10. Let p be -2*(-4)\/6*l. Solve -2*b - 2*b - p = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.061424 and -4?\nAnswer: -0.245696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8894*a**3*k**3*t + 14*a**3*k*t + a**2*k**3*t - 5*a**2 + 5186*a*k**3*t wrt a.\nAnswer: 53364*k**3*t + 84*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(20)\/sqrt(4))**2 + sqrt(5))*2 - sqrt(40)\/(sqrt(8) + 3*sqrt(8)*-4).\nAnswer: -40 + 23*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*i - 5671 + 5994 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 4*h**2 - h + 3. Does 2 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 11*g**2 + 2 + 2 + 2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -192, -194, -206, -234, -284, -362, -474, -626?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdd when three letters picked without replacement from {h: 3, d: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 3, 5, 4, -38.\nAnswer: -38, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 23 = 8, 0 = 3*b - 4*u - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 66, 84, 120, 174, 246, 336?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1000, 3, -1, -19, 7 in descending order.\nAnswer: 1000, 7, 3, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 5*t**2 + 8*t - 8. Let w be l(6). Let y = 10 + w. Factor q**4 - y*q**4 - 14*q + 4 + 12*q**2 + 6*q**5 - 3*q**4 + 8*q**3.\nAnswer: 2*(q - 1)**3*(q + 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 225613070 rounded to the nearest 1000000?\nAnswer: 226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bcppqcw. What is prob of picking 1 b and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 56436499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 1091*i - 7664. Determine o(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 10:24 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -17573394386 less than -10.477?\nAnswer: 17573394375.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 40312.1 and 0.2873.\nAnswer: 40312.3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qeqqqeeqeqqqqqqqqqq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/10)\/((54\/3)\/270)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (8 - -2) + (-6 - (28 - 31)) - 15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1871567 and 2573?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 332 - 333. Which is the smallest value?  (a) -2\/5  (b) v  (c) 53\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1601 + 500*l**2 + 340*l + 140*l - 499*l**2 wrt l?\nAnswer: 2*l + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/109  (b) 134336  (c) 2  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -108*l**2 + 2*l**2 + 106*l - 16*l**2 wrt l?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130493 times 2.1?\nAnswer: 274035.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 220127017224.2?\nAnswer: -220127017229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 5*u**3\/6 - 11*u**2\/2 - 2*u + 2081. Give p(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {f: 1, e: 3, d: 3, o: 1, r: 2, j: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -6*z - 3. Let w(o) = -o**3 + 9*o**2 + 9*o + 13. Let q be w(10). Let l(i) = -5*i - 2. Determine q*b(g) - 4*l(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 953066 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -318739586 divided by 359?\nAnswer: -887854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n - 4. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*i**2 + 1\/4*i**4 + 1\/2*i**3 - 1\/4 - 1\/2*i.\nAnswer: (i - 1)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -591*u - 16667. What is d(-28)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 12:26 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from pasvpvvvvsvvvvyv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 779049 is divided by 779038?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4*((3*(sqrt(432) + -1 + 2) + -1 + (3*sqrt(432) - sqrt(432)) + sqrt(432) + -5)**2 + 2).\nAnswer: -1728*sqrt(3) + 62249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1718\/9 + -191. Which is greater: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d - 7*b + 6*b - 8, 5*b = 5*d - 65 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2057 divided by 2057?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-19\/4)*j**18 assuming j is positive.\nAnswer: j**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**3 + g**2 - g. Let w(f) = 16*f**3 - 11*f**2 - 5*f - 13. Let x(c) = -5*a(c) - w(c). Determine x(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*g = -3*l + 60, -2*g - 13 = l. Let s = 32 + g. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5190949 millennia to months.\nAnswer: 6229.1388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-1 - 0)*1. Suppose h - 2 + 20 = -5*l, 0 = c*h + 3*l + 30. Let w = h - -9. Is -1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 2*u - 18, 4*u - 7*u + 5*t + 22 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from txtxxxxxtxttt?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of 0 + 2*r**2 - 1\/12*r**4 + 0*r**3 + 0*r. Let v(p) = -2*p**2 + 3*p**2 - 3*p**2. Give v(o(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 4*x**2 + 1. Let o be h(4). Suppose 0 = d - 2 + o. Suppose 15*q = 31*q - 176. What is the lowest common multiple of q and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**2 - 8801*r - 3*r**3 + r**4 - 2 + 8802*r + r**3 as d*r**4 + s*r**2 + n*r**3 + f*r + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, -1, -913 in increasing order.\nAnswer: -913, -1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -19b0731 (base 12) in base 5?\nAnswer: -2344021423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d70c (base 16) to base 10.\nAnswer: -120588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from xxyzyyzykyy.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/7, -2\/17, -55333 in descending order.\nAnswer: 6\/7, -2\/17, -55333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28873508?\nAnswer: 2, 2539, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 36064138*m. Let k(b) = -2*b. What is k(h(d))?\nAnswer: -72128276*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -179 - -202. Put q, -3, 2 in decreasing order.\nAnswer: q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 0*q - 6 = 0. Let c be (4\/14)\/(q\/21). Solve 0*s + s = c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11983 times 5?\nAnswer: 59915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*h**2 + 38*h**2 + 2 - 2 + 174*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, r: 1, c: 3}. What is prob of picking 1 r and 3 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**4 - r**2 - r. Let n be (-6)\/(-4 + 2 - -1). Let y(b) = -10*b**4 - 6*b**2 - 6*b - 12. Let w(g) = n*h(g) - y(g). Differentiate w(u) wrt u.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/45*60615\/(-1796).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 520.14078 to 1 decimal place.\nAnswer: 520.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, k: 2, w: 1, v: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 1\/2*x**3 + 0 + 0*x - 1\/15*x**5 + 0*x**4 + 4*x**2. Differentiate w(c) with respect to c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 2 - (19 + 3 - 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11250 + -11085?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 1140*y + 5691. Calculate g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1382\/93 + (-600)\/3100?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -6283\nAnswer: -1256.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.1 + 0.6. Suppose -8 = 3*h + 4. What is the third smallest value in 1, h, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2332*a**2 - 16*a**3 + 43*a**3 - a**4 - 2791*a**2 - 5*a**4 + 39*a**3 wrt a.\nAnswer: -144*a + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 948 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -18*y**2. Suppose -6*r - 95 = -4*x - 3*r, -2*r + 110 = 4*x. Let o(b) = -73*b + 36*b + x*b. Determine o(f(i)).\nAnswer: 198*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 7*f + 11. Let l(x) = -2*x + 4. Let c(i) = 7*l(i) - 2*m(i). Find the first derivative of c(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2466 + -2448. Calculate the highest common divisor of 666 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 468698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*a - 6 = -4*j, -2*a = 4*j - 2. Put 0, 13, j in ascending order.\nAnswer: 0, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2298 and 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 160 and 18293170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) 133  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/2)*a*a**(-7))\/(a**(-2)*a\/(a**(-4)\/a)*a*a))\/(a**(-2\/3)*(a*a**(1\/7))\/a*a**(-2)\/(a\/(a**(1\/12)\/a))) assuming a is positive.\nAnswer: a**(-677\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 36, 300, 1022, 2430, 4752, 8216, 13050?\n\"Answer: 38*g**3 + g**2 - 5*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2283386558.\nAnswer: 2, 149, 7662371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 - -98. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52211, -52164, -52117, -52070?\nAnswer: -52023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 6*s**2 + 4*s - 2. Let v be f(-5). Let t be (2 + 0)\/((-30)\/(-55))*-6. Let g be (v*-1)\/(33\/t). Solve -1 = -g*l + 3*m, -10 = 5*m - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3862860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 - 3 + 3 + 209*b**4 + 21*b**4 + 150*b**4 + (-4*b**2 + 2*b**3 + 4*b**2)*(0 + b + 0).\nAnswer: 381*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -7\/16  (b) 1  (c) -0.94  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18830862 by -18.\nAnswer: -1046159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.97 - -0.03. Let w(q) = -q**2 - 14*q + 4. Let s be w(-14). Suppose -5*n - s*x = -20, 5*x - 30 = -5. Which is the closest to 2?  (a) -2\/7  (b) z  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -91, -4, 96, 1, -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2715*x**4 - 81453*x**3 - 610965*x**2 - 675*x = 0. Calculate x.\nAnswer: -15, -1\/905, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(19\/(-14))*5\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8 - 10) + (3 - 3 - -6). Find the third derivative of -1305*x**3 - 3*x**d + 1311*x**3 + 2*x**4 - 99*x**2 wrt x.\nAnswer: -24*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1808 and 768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**4 - 4*t**3 + 3*t**2 - 4. Let h(i) = 5 - 13*i**3 - 3*i**2 + 18*i**3 + 0. Let q(b) = -4*h(b) - 5*u(b). What is the third derivative of q(k) wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 6  (b) -28\/51  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -75*w**2. Let n(q) = -1381*q. What is b(n(u))?\nAnswer: -143037075*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19823177219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 1923*m**3 - 20*m**2. Let k(w) = -210569*w**3 + 2192*w**2. What is -5*k(r) - 548*o(r)?\nAnswer: -959*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 175 + -170. Let s(v) = 2*v - 15 + 2*v**2 - 12*v**2 - 7*v. Let u(i) = -5*i**2 - 2*i - 7. Let p(o) = y*u(o) - 2*s(o). Differentiate p(j) wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6571869 to the power of 1\/2, to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21049965 by -1077.\nAnswer: 19545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.38 + -0.38. Let a = 0.016 - 2.016. What is the nearest to 4\/5 in p, 2, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2. Let p(f) = f**2 + 2*f. Calculate t(p(d)).\nAnswer: -d**4 - 4*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 5052 + 12280. Suppose 2*v + 78666 - p = 0. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3360.49637 + 2058877?\nAnswer: 2062237.49637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4570952 is divided by 2149?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from zvvvvfzfvzf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1993 - -13949\/7. Which is the fourth biggest value?  (a) -22  (b) g  (c) -3\/10  (d) 2  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((290304\/96)\/56)\/(-39).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 222.295 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 8 = 2, 0 = -5*t + 5*d. Let o(h) = -h - 12. Let j be o(-12). Determine f, given that j*f + 0 - 2\/7*f**t - 18\/7*f**4 + 2\/7*f**2 + 18\/7*f**5 = 0.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6156 - -6182. Calculate the lowest common multiple of i and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**2 - 148*z - 626. Let m be v(-4). Which is the smallest value?  (a) 5\/4  (b) m  (c) -23  (d) 4  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3551570 (base 10) to base 16.\nAnswer: 363152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 4, 13.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + 2)*(5 + 1). Let b be (-3)\/6*-9*2. What is the highest common factor of b and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1*sqrt(45)\/sqrt(3))\/((sqrt(72)\/sqrt(2))\/sqrt(12)) - (sqrt(180)*-3 + -2 - (-5 + (sqrt(180) - (sqrt(180) + -2))))**2.\nAnswer: -1621 + 41*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*u = -87 - 71, 4*u = -2*n + 68. What is the remainder when n is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - -21. Let j = l - -51. Calculate the greatest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5\/287 + 751089\/574. Let i = -1284 + x. Calculate the common denominator of i and -1\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4b + -1176b2?\nAnswer: -117730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/55 + (-4)\/132*-6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7\/(-4))\/((-87)\/317724).\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 9*r**2. Let f(x) be the third derivative of -61*x**5\/12 + 1362*x**2 + 2*x. Determine f(s(k)).\nAnswer: -24705*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n + 1. Let j be q(-3). Let t(w) = -6*w - 2. Let l be t(j). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/9, -1\/6, -0.2.\nAnswer: -0.4, -2\/9, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 86957\/(4\/14 + (-4)\/14 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 5:33 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, s: 12, k: 2, r: 1}. What is prob of sequence ksr?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**7\/210 + k**5\/60 - 7*k**2. Solve j(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45 - -46. What is the third smallest value in d, -1\/27, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n, -n + 62 = 5*m - 88. Suppose f - 14 = -f + b, 2*f - 5*b = m. Let h(q) = 4*q - 7*q - 4*q + f*q. Let s(l) = -35*l. Calculate s(h(i)).\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5*b = 6. Let j = -9 - -13. Suppose 4*i + j = h + 1, 5*h = i + 15. Solve 5*o + 2*l = -b*l - 32, h*o = 4*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 179 = b, 2*b + 280 = -36*w + 41*w. Calculate the highest common factor of 754 and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -846040, 0.3, -3, 0.1, -2\/11 in increasing order.\nAnswer: -846040, -3, -2\/11, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5413.965 litres to millilitres.\nAnswer: 5413965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 + 2*y + 27. Let f(v) = 2*v**2 - 6*v - 80. Determine 3*f(u) + 8*h(u).\nAnswer: -2*u**2 - 2*u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*s - 53 = 0, -4*s - 18 = 4*u - 134. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80943.861 rounded to the nearest ten?\nAnswer: -80940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 131*q**2 + 831*q - 1284. Calculate l(137).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*k + 191 = -0*k, 5*k - 27 = -v. What is the smallest common multiple of v and 7?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*sqrt(2299)*2*4*3.\nAnswer: 792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54934 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 87*q + 11 - 185 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 347268530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/31 in 0.5, 0.37, 5, 3?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-65)\/39)\/(470\/(-188)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 116*m - 119. Let c be q(4). Which is smaller: 346 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3*(-16)\/60)\/((-2)\/50). Suppose -3*j + 6 = -j. Solve j*f + n = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 6*a - 16. Let n be g(8). Suppose 3*k - 5*s = 61, -s - 21 = -k - n*s. 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 the third derivative of 8*i*n**4 - 8*i*n**3 + 2*i*n**2 - 7*i*n + 10*i wrt n?\nAnswer: 192*i*n - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m - 4*i + 576 = 0, -4*m + 5*i = -m - 148. What is the remainder when 14893 is divided by m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5643 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 14. Let g be (-206)\/(-17) + (-30)\/255. Let r be v(g). Solve t - 3 - r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, m: 8, r: 5, g: 2, o: 2}. Give prob of sequence pm.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 24 + (-428 - -361 - (2 - 47))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u - 15. Let o be t(10). Suppose 0 = -3*y + 1 + 20. Factor -5*c**4 + y*c + 8*c + 7*c**2 + 18*c**2 + o*c**3.\nAnswer: -5*c*(c - 3)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11408 is divided by 1900.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 + 7*t - 15. Let r be b(-5). Let y be 0\/(-2 + 3 + 1). Is -1 - (y - 23 - r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 29397, 29398, 29401, 29406, 29413, 29422, 29433?\n\"Answer: o**2 - 2*o + 29398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 449 - -3a?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(77)*1)\/(-1*sqrt(33)\/sqrt(3)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 434 = 3*o. Let y = -60 - o. Solve -2*g - 4*w - 2 = 0, -3*g = 2*g + y*w - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26580 and 9839030.\nAnswer: 59034180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -8 + -1 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**1)**20*y**(-1\/8)*y\/y**(-6)*((y\/y**(-3))\/((y\/y**(5\/3))\/y))**23 assuming y is positive.\nAnswer: y**(4253\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + h + 3*n + 98 = 0, h = 5*n + 2. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 + -3)*(2 + (-82)\/6). Let v = 68 + b. Is -4 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - (6 - 3) - 2. Let b be -3 + 2 + (-19)\/(-21). Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of 1\/15*o**5 + 2*o**2 + 0 + 2\/3*o**3 + 0*o - 1\/3*o**4. Factor i(d).\nAnswer: 4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -117 - 144. Let n = -62 - s. Suppose -18 + 166 = 2*l. Calculate the remainder when l is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 10*m**2 + 13*m + 14. Let c be 112\/16 - (-3 - 2). Is 22 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j**4*z**3 + 312*j - 737*z**3 wrt j.\nAnswer: -4*j**3*z**3 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1191230469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3023*g**3 - 13*g**2 - g + 2654. Let b(i) = -i**3 + i**2 + 1. Let f(c) = -13*b(c) - h(c). What is the second derivative of f(o) wrt o?\nAnswer: -18060*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 35, 76, 119, 164, 211?\n\"Answer: a**2 + 38*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*b - 6*b + 39. Differentiate -2*h**3 + 60 - 30*h**4 + h**3 - 2*h**3 + 3*h**b with respect to h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-6))\/((-190)\/(-30)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.34, -2\/1899, -1?\nAnswer: -2\/1899","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22790 and 71810.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/2*1\/(-3))\/((-6494063)\/291868).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.3 + 2.7. Let t = h - 8. Let w = 0.2 + -0.6. Which is the biggest value?  (a) t  (b) -3\/8  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29?  (a) -2\/11  (b) 2  (c) -1  (d) 3\/2  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of -11*z**5\/60 + z**4\/8 - z**3\/2 + 9*z**2. Let b be g(2). Let y = -38 - b. Let x(w) = -w**3 + 3*w**2 - 3. Give x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -2925 + 4558. Is 71 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 6*a - 5. Let j be r(4). Suppose 0 = -b, 3*i + j*b = 2*i + 5. Suppose y + i = 4*l, 2*l + y = 2*y + 5. Solve z - 3 = -l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/2 + 4 + 2\/(-4). Is y smaller than -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.2  (c) -13  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -1 in decreasing order.\nAnswer: 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -282*((-13)\/1300*-20*10)\/6?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 83 = -3*z + 4*z, 3*z - 273 = -3*f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -97, 0.9, 27, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 128127 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -18. What is the remainder when 19 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20167 and 141169.\nAnswer: 141169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/3)*s)**1\/(s**5\/(s\/s**(-5))))**(1\/3) assuming s is positive.\nAnswer: s**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uquqjqjuu. What is prob of sequence qquq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Expand -3*a + a + 4*a + (192*a + 503*a + 516*a)*(-4 + 2 + 3) + 5*a - 6*a - 5 - 1.\nAnswer: 1212*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rss when three letters picked without replacement from rssssr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 - 55004?\nAnswer: -54650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of v**6\/120 - 13*v**5\/20 + 3*v**4 + 38*v**3\/3 - v**2 - 47*v. Let k be c(37). Solve 5*w + k*w = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 102*f + 2547. Determine g(121).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47.9 + -48.4. Let z = -45\/52 - 5\/13. Which is the second smallest value?  (a) -19  (b) o  (c) 2  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2. Let p be (10 + -13)*(-11)\/3. Let f(h) = p*h - 19*h + 2*h + 10*h. Determine t(f(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 934 divided by -9.\nAnswer: -934\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54*370524.\nAnswer: -20008296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 5*j**2\/2 - 176*j + 176. What is the units digit of v(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 5*d**2 + 9*d - 9. Suppose 0 = -4*g + 4 + 20. Calculate q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 + 5 = -7*l - 5*k + 7, 0 = -k - 8 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrprrllrlqr. What is prob of picking 2 l and 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 96053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/24 and 49\/16144284?\nAnswer: 32288568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = r. Suppose r = d + d - 6. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - h**3 - h - 4*h - 8*h**3.\nAnswer: -9*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -106\nAnswer: -5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 291359, 291347, 291335, 291323, 291311?\n\"Answer: -12*r + 291371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + 143*j - 554. Give u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.5, 2\/9, 4, -3, -6120 in decreasing order.\nAnswer: 4, 0.5, 2\/9, -3, -5, -6120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20718781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 2033 = -2447. Suppose 2*v + 2688 - i = 0. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (0 + -1) - (1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 32, -2*l - 36 = 60*f - 64*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-16)*-20)\/(43450\/(-3160))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5 + 63*b + 0 + 1 - 64*b. Let u be l(-7). Suppose -2*n + 2519 = u*v, -3*n - 986 - 1528 = -3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 346 - 346 - 12*r**2 in the form h*r**2 + b*r + m and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(29*a - 41 + 41).\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.07 + -1.05984. Round s to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*t - 6*t - 2. Solve -6 = -4*p + t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.368 + -0.3\nAnswer: 8.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -179242128 by 16652.\nAnswer: -10764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1*6*(-1)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 7, 31, 87, 187?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 4025359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -473669, -1894267, -4261923, -7576631, -11838385, -17047179?\nAnswer: -23203007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-2*4*(sqrt(147) + sqrt(147)*1 + -1 - (4 + sqrt(147)*-4)))**2 + -4).\nAnswer: -80640*sqrt(3) + 1020852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0045415 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27744 and 10.\nAnswer: 138720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -281*y**2 - 3. Let g(h) = 2250*h**2 + 25. What is 3*g(k) + 25*w(k)?\nAnswer: -275*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.5 + 10759.\nAnswer: 10760.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/3 + 4*d**2\/3 + 95*d\/3 - 66.\nAnswer: -(d - 11)*(d - 2)*(d + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + 4 + 12 + -38 - 4 - (12 - -2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 30 = 4*w. Put w, 1\/11, 0 in decreasing order.\nAnswer: w, 1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -20446 - 52*y**2 + 20446 + 8*y**2 + 523*y**2. Let d(c) = -8*c**2. What is u(d(i))?\nAnswer: 30656*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**3 - 2*i**3 + i**3 + 2 - 2 - 3*i**3 + (i - 1 + 1)*(1 + 2*i**2 - 1).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -84241*l**5 + 41*l**2 - 155*l + 1?\nAnswer: -5054460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t**3 - 8*t**2 - 2*t**3 - t**3 + (-17 + 5 - 2)*(-4*t**3 + 4*t**3 + 10*t**3).\nAnswer: -138*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 1. Suppose -127 = -56*v - 463. Let m(a) = 11*a - 8. Calculate v*j(t) - m(t).\nAnswer: -17*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = 77*b - 222 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6617 and 38441?\nAnswer: 19566469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003737287 rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7280.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 12*g - 400. Let r be (-5 - -2)*g\/60. Is r at most 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/sqrt(24)*-2 + sqrt(16)\/(2*sqrt(8))*3 - (sqrt(36)\/sqrt(36))\/((sqrt(22) + sqrt(352))\/sqrt(11)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97217, -194464, -291709, -388952?\nAnswer: -486193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -15. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 3, w: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-1190)\/(-952))\/((-6)\/(-8))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 24 = 79. Solve x*o + t = -16 + 4, o = -t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*h = 15*o - 14*o - 16*h - 3, -18*h + 51 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((-385)\/(-33)) + (-4)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 2 - 5. Let n = -4 - -5. Let q be -2 + (-2)\/(3 - (n + 1)). Sort t, -2, 5, q in increasing order.\nAnswer: q, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*g + 121*g + 32 + 24 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 34946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1598, 12867, 43390, 102773, 200622, 346543, 550142?\n\"Answer: 1601*p**3 + 21*p**2 - p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(2\/53)*(g**0\/g)\/(g\/g**(-1\/4)*g*g))**(-1\/13) assuming g is positive.\nAnswer: g**(909\/2756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 2)\/(((-8)\/4139)\/(-8)). Let x = h - -2334. Let j = x + -350134\/33. Calculate the common denominator of j and 5\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 635087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -198.163 + -6.917. Round d to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7680035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4*c + 0 = -37, 16 = -4*c. Let g(j) = -j + 8. Let d be g(k). Let f be 39\/d + 2\/5. Solve 15 = 2*z + f*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 418361 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 + z**3 + 6*z**3 - 2*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*j - 24 - 18 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -134232 + -380.1533.\nAnswer: -134612.1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 121 - 13?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 987463.3 years in months?\nAnswer: 11849559.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 2*g = -12, n = -g + 3. Let p be (-671999)\/n - 18\/108. Round p to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*v = 2*c - 96, 98 = 3*c + v. Suppose -5*t + t = 16. Calculate the remainder when c is divided by 6\/(-2)*(t - (-7)\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2223 - r - 2397 - 868.\nAnswer: -r - 5488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 2*m + 3*m)*(-7*m**2 - 15*m**3 + 7*m**2) + (-3*m**4 + 2*m**4 + 5*m**4)*(0 + 2 - 1).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 + -21*(-5 + (-38)\/(-6)). Which is the nearest to x?  (a) 5  (b) -1\/2  (c) -5  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 3*k**2 + ((-2 - 1 + 5)*(-2 + 0 + 4) + 1 + 0 + 1)*(-58*k**2 - 9*k**2 - 3*k**2).\nAnswer: -423*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 2*w - 8800 = 0, -5284 = -3*a - 2*w - 0*w. Suppose 716 = -2*f + a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 2 v, and 1 h when four letters picked without replacement from {g: 1, m: 3, h: 2, v: 3, y: 9}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 45 = t, -4*t + 0*t = 5*z + 169. Let x be (-3)\/(2 - -1) - 17. Let b = x - t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) -11  (c) 0.1  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67294271?\nAnswer: 11, 47, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 150 = -4*y. Let w be (-4 + (-217)\/(-28))\/((-3)\/(-8)). Suppose m = w + 20. Calculate the least common multiple of y and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**(-2))**(2\/35)\/((i*i**(-1\/5)\/i)\/(i\/(i*i**(4\/9)*i))))**13 assuming i is positive.\nAnswer: i**(-728\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*x + 4 = 0, -2*l + 2*x + 18 = -3*x. Suppose 2*v - 4 = 3*h - l*h, -2*h = -4*v - 8. Let f = 5 + -2. Solve -f*k = -h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - ((6 + -10 - -5) + (2 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (218*g - 472*g + 189*g)*(-4 - 1 + 3)*(4 - 7 - 5) + g + 3 - 3 + (0 - 1 + 0)*(-g - g + g).\nAnswer: -1038*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1853111264\/337602195 - -7432\/25781. Let n = 57078484\/2619 + -21794. Let w = i - n. Find the common denominator of -2\/9 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -4*w - 115 + 150, -2*t - 14 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8 times -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((-3*1*sqrt(99)*6)\/(-3*sqrt(36)*4) + 5)**2 + -2).\nAnswer: -467\/4 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/47 or 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 10817, 508, -16673, -40726?\n\"Answer: -3436*d**2 - d + 14254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1185 - 2348 + 1163 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (90*(-39)\/8190)\/((-9)\/(-2121)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 8, 5, -4, -31 in ascending order.\nAnswer: -31, -4, -3, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 144 in -1\/3, 1, -1\/2, -1\/5, -218?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 - (-207*1 - 3). Suppose -p - 306 = -29*d. Calculate the remainder when d is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -38467517, -153870055, -346207617, -615480203, -961687813, -1384830447, -1884908105?\n\"Answer: -38467512*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 7. Suppose 4*n + t = -41, 5 = -4*n + 4*t - 51. Let w = n + u. Let a(f) = -f**3 - 6*f**2 + 5. Give a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**3)**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64 - -49) + 4 - 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 7)*(0 + 4*b + 5 - 3).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3770 + 18651\/5. Let r = n + 50. Calculate the common denominator of -35\/2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0*j + 4*j - 58*j - 3*j + j**3 to the form q*j**2 + u + b*j + l*j**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.33 - 0.3299936. Round f to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 2*m = 11, -2*z - 3*m = -z + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*j**3 + 23153855*j**2 + 793445682*j.\nAnswer: 42*j + 46307710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 7*o + 9. Let d be y(5). Let j be (-25 + d - 1)\/(6\/(-6)). Calculate the remainder when 43 is divided by j\/2 - (-1)\/2*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cb when two letters picked without replacement from gcbfgb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 1350 - 846. Calculate the highest common divisor of 135 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -55995*b**3*m**5 - 119*b**3 + b*m**5 - 12653*m**2 wrt m.\nAnswer: -3359700*b**3*m**2 + 60*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 27 + 39 = 0. Let y(h) = 16*h**2 - f*h - 3*h + 6*h. Let c(p) = 40*p**2 + 21*p**2 - 55*p**2. Calculate c(y(t)).\nAnswer: 1536*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23 - (-8 - -13) - 12) + -5 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(-1*sqrt(5))*-3 + 2*(-2*sqrt(1872) - sqrt(1872)).\nAnswer: -69*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**3 - 3*q**3 + 0*q**3 - q**3 + 4*q**3 - 2*q**3 + (-5 + 4 + 2)*(-4*q**3 + 4*q**3 + 2*q**3) - 26*q**3 - 75659*q + 75659*q - 2*q**3 + 7*q**3 + 0*q**3.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -2\/7, -6\/7, -1\/5, -2.9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -489.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.9 + -4.2. Let b = 0.26 - 3.56. Let m = j + b. Which is smaller: m or 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 1465726 = 3*d, -704*v + 3*d = -699*v - 1832159. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0391195 rounded to four dps?\nAnswer: 0.0391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 138286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 144*w**4 + 137*w**4 + w**2 - 423*w**4 + 52*w + 134*w**4 - 20*w - 2*w**3 in the form d + y*w + j*w**2 + m*w**4 + a*w**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.27 - 0.24. Which is the third smallest value?  (a) v  (b) -2\/15  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130 + -22422204?\nAnswer: -22422024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138101915 to the nearest integer?\nAnswer: 11752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110213 - -23310?\nAnswer: 200123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81352283 by 1487.\nAnswer: 54709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 12) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fiiiiiiiif. Give prob of picking 2 i.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 17 = -b, 4*b - 20 = 4*r + 24. Suppose -5*a - 2*j + j - 3 = 0, 2*a + b = -3*j. Suppose a = o - 68 + 13. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 114 = 2*d - 4*d, 3*p = 5*d + 327. Let g = d + 148. What is the remainder when g is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/9 or -874?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 99*j**3 + 3*j**2 - 3*j. Let w(k) = -98*k**3 - 4*k**2 + 4*k. Let h(i) = 5*n(i) + 4*w(i). What are the prime factors of h(1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 12:25 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48 - 48.86. Let n = f + -3.14. Put n, 0.3, -20 in descending order.\nAnswer: 0.3, n, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -35*i**3 + 5*i - 27. Let y(u) be the second derivative of -u**3\/6 + 6*u. Let j(l) = -k(l) - 5*y(l). What is the derivative of j(s) wrt s?\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 569961616 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13\/(-26))\/(2\/108). Let u = -57\/2 - v. Which is the third smallest value?  (a) 3  (b) u  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*y, -5*y - 33 = -2*s - 6. Suppose 0 = o + r - 25, 2*r + r = -2*o + 47. Suppose -s*w = -4*w - u - o, u = 0. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41942.334 rounded to the nearest 10?\nAnswer: -41940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*o**2 - 9*o + 2*o + 43*o**2 + 7*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 230\/(-6) + 5 - (-1)\/3. Sort x, -1, 3 in descending order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270969841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/42)\/((21\/63)\/((-175)\/90))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k + 15. Let w be u(-18). What is the greatest common divisor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**5\/11 + 56*j**4\/11 - 204*j**3\/11 + 296*j**2\/11 - 194*j\/11 + 48\/11.\nAnswer: -2*(j - 24)*(j - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -85.3 - -85.6. Let p = 0 + 0.1. Let w = 0.6 - p. Which is the second smallest value?  (a) 0  (b) k  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 24 = -y. Let g(f) = 8*f**2 + 17*f - 99. Let t(n) = 4*n**2 + 9*n - 50. Let v(i) = y*g(i) - 5*t(i). What is the first derivative of v(c) wrt c?\nAnswer: 8*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from {v: 4, f: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -100*j + 112*j + 8532. Let r = j - -759. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3529, -3564, -3623, -3706, -3813?\nAnswer: -3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**3 + 15*i**2 + 2*i + 76. Determine m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 81.99 - 82. Put -0.1, v, -1\/9, 1\/22 in decreasing order.\nAnswer: 1\/22, v, -0.1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjppcppyypjp. What is prob of sequence cpyp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of p**4\/18 + 5*p**3\/18 + p**2\/3 - p - 1. Let h(i) be the first derivative of j(i). Solve h(w) = 0 for w.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 4*c + 68 = 0, -5*v + 212*c - 209*c - 40 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 74 = -1277*i + 1272*i, -14*i - 3*a + 68 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 5*q + 32. Calculate the remainder when 139 is divided by t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(((-2)\/1)\/(-1)). Let b(k) = 2*k + 2*k - a*k - 3 - 4*k. What is b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 467*2 + -11 + 10 - 3?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 10538.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3397*d - 149853 = 4490*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 13*b + 7. Suppose -3 = 3*s, -3*s = 3*t - 2*t + 4. Let j(w) = w. Let k(p) = 13*p + 4. Let i(f) = t*k(f) + 6*j(f). Determine -6*c(q) - 11*i(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -25, 0, -27, 2, -2 in decreasing order.\nAnswer: 15, 2, 0, -2, -25, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*q + 23 + 3*q - q**2 + 3*q**3 - 4*q**2 - 3*q - 2*q in the form d*q + o*q**2 + c + j*q**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1651460?\nAnswer: 2, 5, 71, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 0.6328?\nAnswer: 0.12656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 5*t**2 - 12. Let m be y(2). What is the greatest common factor of 50 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 126*c - 1440.\nAnswer: -2*(c - 48)*(c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3296\/(-14008))\/(4\/(-6))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5 - 1 - 8 + 0 - 2*t. Let z be x(-3). Find the third derivative of -n**2 - 6*n**z + 4*n**6 + n**2 - 5*n**6 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -19 + (-12 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -2*b + 2*h + 16, 0 = h - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -18. Let s = 0.111083 - 0.111083. Sort 3, 1, m, s in increasing order.\nAnswer: s, 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223278613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 3*d = -7 - 8, -4*r - 3*d + 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 47, 74, 119, 188, 287, 422, 599?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 47 + 31*m**2 - 24 - 24. List the prime factors of l(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 49.2?\nAnswer: -196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11057736.\nAnswer: 2, 3, 431, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -233423 or -233787?\nAnswer: -233787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**6\/120 - o**5\/6 - o**4\/24 + 2*o**3 + o**2. Let p be v(10). Solve 0 = -p*m + 1 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(97*x**2 - x - 176*x**2 + 122*x**2 + 112).\nAnswer: 86*x**2 - 2*x + 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -83 and -983.\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2)\/(-6))\/((-8)\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -839 - 9930 = -43*l + 239. Calculate the highest common divisor of 11712 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*27 + (-15 - -16). Calculate the remainder when 127 is divided by v - (-11)\/((-11)\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 361891118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4755 - -37793\/8. Let n = g - -31. Let f = -0.4 - -0.2. Put f, n, 4\/7 in descending order.\nAnswer: 4\/7, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1457*b**3*m**3 - 2*b**3*m + 12125*b**2*m + 24*m**3 wrt m.\nAnswer: -8742*b**3*m + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.908138 + 28?\nAnswer: 17.091862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 + 12. Let k be (-16)\/(-5)*c\/24. Put k, -0.1, 2\/5 in increasing order.\nAnswer: k, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2441047387.0000027 + -2441047530. Let g = b - -143. Round g to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1638 and 41886?\nAnswer: 293202","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -1738 - -1741. Solve 0 = -g + v - k - 3, -3*g + v - 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/26)\/((-3)\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 133\/(-70) + (-21)\/(-14). Which is the second smallest value?  (a) 4  (b) 5\/4  (c) -2  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*l = -10*l + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 5870680 + 251214 = 3*j, 5*j + 1123924 = p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -343*w**2. Let a(s) = -2*s. Determine h(a(l)).\nAnswer: -1372*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3588.139ms to microseconds.\nAnswer: 3588139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2592.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -q - 40*q. Let l be -20*10\/35*(-7)\/2. Solve 0 = -3*v + g - 5, -2*v + 3*g - l + q = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2098637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 16570 - 1?\nAnswer: 16569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 1. Let z(p) = 2*p - 10. Let d(a) = -3*l(a) - z(a). Let u(x) = -3*x + 26. Let o(y) = -y + 8. Let j(f) = -7*o(f) + 2*u(f). What is -3*d(v) - 5*j(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 140 = 3*t. Calculate the remainder when 10\/50 - 1018\/(-10) is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -117*y**3 - 58*y**2 - 17*y + 34. Let g(k) = 39*k**3 + 19*k**2 + 6*k - 12. Let a(u) = 17*g(u) + 6*h(u). Find the third derivative of a(t) wrt t.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1021084010.\nAnswer: 2, 5, 102108401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -11*g**3 + 8*g**2 - 21. Let f(k) = 4*k**3 - 3*k**2 + 7. Let r(x) = 8*f(x) + 3*p(x). What is the derivative of r(j) wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*z**2 - 13*z**2 - 14*z**2 + 46*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8328*j - 2449 = -8201*j + 599 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3512 divided by 1?\nAnswer: -3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + ((-524480)\/(-231))\/64.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.96 - -18.95. Let f = h - 22. Let z = 1.09 + f. Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - (7 - (-7 + 16)))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2281 + -2134. Solve 0 = h*p - 84*p - 63 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 40 = 2*n, -2*a + 5*n + 18 + 27 = 0. Let y be (-8 + 18)*16\/a. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248*z + 780 = 170*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 351414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*f - 7 = 0, d + 2*f = 7 + 4. Suppose 8*b = d*b + 1090. Let a = -91 + b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a factor of 803625139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -5*h + 48 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from {k: 5, m: 1, b: 5, c: 3, y: 4, a: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 6*w = -5*w + 3*w + 55, -w - 16 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-4))\/(1\/(-2)). Let r = 6 - t. What is the least common multiple of 9 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0173 times 20.8453?\nAnswer: 0.36062369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(110)\/sqrt(40).\nAnswer: sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 + -0.09. Which is the nearest to -0.3?  (a) 5  (b) -0.2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - 0)\/(6\/(-2692)). Is 5\/(-10)*t*2\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/(-70) + (-236)\/(-40) + -1. Suppose 3*v + 5*c = 7*v - 1900, 0 = -m*v - 2*c + 2408. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*b**5 - 2*b**4 + 13*b**3 + 10511*b**2 wrt b.\nAnswer: 900*b**2 - 48*b + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -116*u**4 + 131*u**4 + 89*u**4 + (-2*u**2 + 2*u - 2*u)*(-u**2 - 4*u**2 + 6*u**2).\nAnswer: 102*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-3) + -4 - 4\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -151 * -514\nAnswer: 77614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3342353*u. Let f(q) = q**2. What is v(f(d))?\nAnswer: 3342353*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}