{"text":"Question: What is 5 (base 10) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + g - 3*v + 52 = 0, -90 = -2*g + v. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4176 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f + 2270000. Let n(x) = x + 20. Let b(w) = 20. Let d(g) = -5*b(g) + 4*n(g). Let y be d(5). Let a be r(y). Round a to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2922 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -1. Let l(a) = a**2 + 4*a - 2. Let n be l(-2). Let p(z) = 2*z - 6. Let h(c) = n*y(c) + p(c). Let k(o) = 3*o - 5*o - o. What is k(h(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/17, -3, -1\/38?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2522*i**3 + 2507*i - 210854907.\nAnswer: 7566*i**2 + 2507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 384488 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, c: 1}. Give prob of sequence cp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4*k - 3*k + 671 = 0, -3*f = 3*k - 687. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**2 + 136*u + 2. Let x(a) = -2*a**2 - 3*a + 1. Calculate -o(v) + 2*x(v).\nAnswer: -v**2 - 142*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 52464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 231990465 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t - 65. Let d(b) = -1. Let w(p) = -5*d(p) + m(p). Let q be w(13). Solve -36 = 4*u + q*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -5. What is the greatest common divisor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) 2  (c) 1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15.442503 - -170.446643. Let l = -155 + n. Round l to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 4*u. Let m(q) = -16*q**2 - 15*q - 93. What is m(k(r))?\nAnswer: -256*r**2 - 60*r - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1725160029.\nAnswer: 3, 193, 2979551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1566144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 11119 = 2*y, 21*k - 8*y + 7*y - 233663 = 0. List the prime factors of k.\nAnswer: 3, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 25*i + 15. Let j be ((-8)\/5)\/4 - 84\/15. Let f(w) = -9*w - 5. Let c(b) = j*k(b) - 17*f(b). Let s = -13 - -8. Let o(t) = 4*t - 6. Give s*o(h) + 6*c(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -1, 3, 157586.\nAnswer: -2, -1, 3, 4, 157586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l. Let w(m) = 1759609*m. What is p(w(i))?\nAnswer: 5278827*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 3:58 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 80 = 7*l. Let v(f) = -f**2 - 31*f - 101. What is the remainder when l is divided by v(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) 1.2  (b) 1\/2  (c) 1079  (d) 5  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -132?  (a) 3  (b) 1\/3  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -581355462.0000081 - -581355383. Let q = i - -79. Round q to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 149367766\/645 - 231578. What is the common denominator of -85\/172 and v?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1572 and 10.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b**2. Let x = -3 + 3. Suppose -2*k + 10 = -x. Let d(u) = 5 - k + 2*u. Give d(o(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - -5. Let s be -11*((-27)\/12)\/g. Is s equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2523908917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-178)\/(-68) - (-38)\/(-323))\/((-78)\/104).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19108 and 112.\nAnswer: 535024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(64)\/sqrt(2) + 2*sqrt(2)*1 + 4))**2.\nAnswer: 1200*sqrt(2) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 101967 and 856408.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/2 + 828387*g + 228741673923\/2.\nAnswer: 3*(g + 276129)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 6*k**2 - 13*k - 3. Let v be b(8). Let p be (-3)\/(-5 - v\/(-6)). Let 3*o**p - 3 - 3\/2*o**5 + 6*o**3 + 0*o**4 - 9\/2*o = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + o = -266, 7*h + o - 211 = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -2. Find the common denominator of (-282)\/(-8)*w\/54 and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r**2 - 660*r + 660*r)*(2 + 3 - 4 - 1 + 0 + 3 + (2 - 2 - 2)*(-3 + 4 - 3)) as u + m*r + c*r**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 24455.1ml in litres?\nAnswer: 24.4551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2208 - 1872 = 0. Calculate the highest common factor of f and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 4. Let q = o + 0.3. Which is the second smallest value?  (a) q  (b) 2\/15  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdmmmddmdddmd. Give prob of sequence md.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -u. Let r = 0.3 + -0.2. Let y = 151.1 + -146.1. What is the nearest to -0.1 in y, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.792042 to three decimal places.\nAnswer: -0.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2958 + 2979. Which is greater: 1\/81 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ypyppppppp. Give prob of picking 4 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5, 0, -1, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -5*y + 1223, 5*t + 2476 = 9*t + 4*y. Let l be (-955)\/(-20) - 0 - (-1)\/4. What is the greatest common divisor of t and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1024 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 51653, -4 in decreasing order.\nAnswer: 51653, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -600 + 10645?\nAnswer: 10045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 58852 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (23 - 14) + (-4 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 122379807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 14*u**2 + 35*u - 8. Give o(-7).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5471 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 8*y**2 - y + 8. Let h be m(8). Suppose h*t = -2*t - s + 9, 4*s + 24 = 4*t. Solve -t*q + 6 = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1222 (base 3) to base 5\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 - 69.2. Let h be (80\/(-6))\/5 + 3. Which is the nearest to h?  (a) 0.1  (b) k  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10.85 and 4.\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -41.6 - -0.269.\nAnswer: -41.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 104040 - -403?\nAnswer: 104443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r - 1. Calculate the smallest common multiple of x(1) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1877320333 to the power of 1\/2, to the nearest integer?\nAnswer: 43328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1093*h + 1800*h**3 + 667*h**3 - 1081*h**3 wrt h?\nAnswer: 8316*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 146*u = -12 - 16 + 174 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 332, 1840, 5678, 13010, 25000, 42812, 67610?\n\"Answer: 194*r**3 + r**2 + 147*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -30a31 (base 13) to base 2\nAnswer: -10101010101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.1 + -1.9. Let s = -1 - -0.2. Let w = s - r. What is the third biggest value in -0.2, 1\/5, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -169 times 0.07?\nAnswer: -11.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13585, -3, 4.\nAnswer: -13585, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**3 - 1891400*t**2 - 26479306*t - 92677228 = 0.\nAnswer: -945686, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of h**5\/20 + 5*h**4\/12 + 5*h**3\/6 + 7*h**2\/2 - h. Let t be a(-3). Suppose 11*s - 27 = t*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 202 - 413. Let d = -212 - k. Which is the second smallest value?  (a) -1\/2  (b) -10  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - z = 4*n - 7431, 0 = -5*n - 4*z + 12385. Suppose -y = 5*h + 3*y - 4099, 3*h - 2*y = n. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -2240?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 256*m**3 - 111*m**3 - 142*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*j + 11*j + 115*j - 2*j + 3*j - 3*j + (0*j - j + 0*j)*(-3 + 3 + 1))*(1 + 8 + 3).\nAnswer: 1572*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2 - 2. Let q = 23 - 20. Suppose 0 = -7*h + 2*h - q*b, -4 = -3*h - b. Solve 3*i = 2*p - j*i - 8, h*p + 2*i - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2993708853 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -367 + 129. Which is the biggest value?  (a) l  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.429  (b) 212  (c) -0.4  (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 253, 956, 2129, 3772, 5885, 8468, 11521?\n\"Answer: 235*b**2 - 2*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3\/5*z**2 - 24\/5 - 6\/5*z = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 203, 205, 217, 245, 295?\n\"Answer: c**3 - c**2 - 2*c + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.93564 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.841 + 0.159. Which is the nearest to 2?  (a) -1\/2  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 - 6. Let v = 12 + f. Sort -3, 1\/8, v in increasing order.\nAnswer: v, -3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.44728mg in kilograms?\nAnswer: 0.00004744728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 5*y. Let c(x) = -1 + 6*x - 7*x - 5 - x**2. Determine c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 55873, 111702, 167531, 223360, 279189?\n\"Answer: 55829*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/6  (b) 14  (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 784\/140*(-200)\/(-40).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/14)\/((-132)\/154). Let i = 5 + -4.9. What is the second smallest value in -0.1, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**4 + 27315*g**3 + 82901025*g**2 + 83868203625*g.\nAnswer: 3*g*(g + 3035)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11423, -22857, -34293, -45731, -57171?\nAnswer: -68613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*((-4)\/6)\/(20\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 32\/6*1638\/(-624)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 24 = 12*u, 3*u - 230 = 4*d - 215 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -11*(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9132 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -209*j**2 - 14*j - 8. Let y be o(-7). Let z = y + 18451. Round z to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20768 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/22*150\/135.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -0.497  (c) 2\/827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -4*(-1*sqrt(147) + sqrt(147) + sqrt(147)))*4 - (-2 + sqrt(147) + 3 - -2*(sqrt(147) - sqrt(147)*1)))**2.\nAnswer: -714*sqrt(3) + 42492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -y. Put y, 3, -5 in decreasing order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54491 = -1887*n + 8*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 21771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12693 - 126813\/10. Calculate the common denominator of 28\/3 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0039491 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 222146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -872*f - 1276 = -876*f. Which is greater: f or 312?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -3*p + 15, 4*l - 2*p + 49 = 61. Let d(r) = -3*r - 7. Let a(z) = 2*z + 8. Calculate l*a(m) + 4*d(m).\nAnswer: -6*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 1276?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 z when four letters picked without replacement from {z: 5, x: 1, m: 3, t: 1, p: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 21. Let s(b) = -11*b**5 + 8*b**4 + 14*b**3 + 5*b - 8. Let l(m) = -7*m**5 + 5*m**4 + 9*m**3 + 3*m - 5. Let c(o) = z*l(o) + 5*s(o). Factor c(h).\nAnswer: h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27285662 is divided by 419779.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1047?  (a) 1\/3  (b) -0.4  (c) 10  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 + (-120 - -15) + 64.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 27 = -3*f, 0 = -2*g - 0*g + f + 9. Let s(v) = 10*v + 3. Let q be s(g). What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 13. Let i = 55 - y. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 8*j**2 - 2*j - 1. Suppose 3*h + 7 + 31 = s, -3*s - 18 = 3*h. Let q = h + 14. Is m(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000956178 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 11:08 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(24)\/(sqrt(8) + sqrt(40)\/sqrt(5) + sqrt(8)) + sqrt(3)) + (sqrt(3) - -4*(sqrt(48))**2) + -5.\nAnswer: 5*sqrt(3) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1578, 1592, 1618, 1656, 1706, 1768, 1842?\n\"Answer: 6*g**2 - 4*g + 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6588051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2023 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -5*m**2\/2 + 216. Let d(y) = y**2 + 5. What is d(g(j))?\nAnswer: 25*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, -1, 2\/13, 5\/3, 58793, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gccccgggcggg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.05859 * 42\nAnswer: 2.46078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) -117  (c) 0.06  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 = -1123*z + 557*z + 556*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 2 + 5, 3*a + m = 27. Let z = 167 + -150. What is the remainder when z is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.6, 0.4, -22, 1\/8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000009678916 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 61240*s - 428835. Calculate u(7).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of d**7\/252 + 19*d**6\/15 + 4407*d**5\/40 + 12769*d**4\/36 - 1675*d. Find i, given that j(i) = 0.\nAnswer: -113, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24\/19, -47, -7.\nAnswer: -47, -7, -24\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*(-3)\/18)\/(32\/(-56000)*-35).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 73*o + 3. Determine f(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -32, -41, -70, -131, -236, -397, -626?\n\"Answer: -2*b**3 + 2*b**2 - b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14\/9 - 4\/3. What is the closest to 1 in -2\/53, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.024*129\nAnswer: 3.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36a8 + -3?\nAnswer: 36a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12872264, 25744517, 38616770, 51489023?\n\"Answer: 12872253*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(19)*-2*-5)**2 + sqrt(19) + sqrt(19) + ((0 + sqrt(19))*2)**2).\nAnswer: -3952 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 483023*-6.\nAnswer: -2898138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/1815458 and -17?\nAnswer: 1815458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4518467 by -145757.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1645950083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 6*v - 10*v + 17, 3*t = 4*v + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f + 17. Let q be w(-4). What is the common denominator of 70\/(-16)*q\/42 and -55\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 59777370 to the nearest 10000.\nAnswer: 59780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -191999 divided by 150?\nAnswer: -191999\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 3\/8  (c) -1184  (d) 974  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3*(-1 + sqrt(1008) + sqrt(1008))*2 + (-5 + sqrt(252)*1 - (sqrt(252)*-2 + 3)))**2.\nAnswer: 504*sqrt(7) + 111133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*v + 537 = 159 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/435 and -2\/31059?\nAnswer: 155295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -182*g**2 - 3*g - 275*g**2 - 60 + 194 + 3*g wrt g?\nAnswer: -914*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78 + 8.0995.\nAnswer: 86.0995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1305 - -1385. Let i be v\/440 + (-586)\/(-44). Factor -45\/2*f**2 - 21\/2*f**3 - i*f - 3\/2*f**4 + 0.\nAnswer: -3*f*(f + 1)*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*w = 80342, -9*w + 12*w + 133824 = 5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 1 + (-6 - -36) + -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 520 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2328 and 1.\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of -29*v**5\/6 - v**4\/24 + 41*v**3\/6 + 30*v**2. What is the second derivative of s(z) wrt z?\nAnswer: -580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 665*l + 642. Let w(o) = 1330*o + 1286. Let v(k) = 5*p(k) - 3*w(k). Find the first derivative of v(b) wrt b.\nAnswer: -665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4420, -4595, -4880, -5263, -5732, -6275, -6880?\n\"Answer: 2*u**3 - 67*u**2 + 12*u - 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 4036.703mm?\nAnswer: 403.6703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1097 - 1097. Which is bigger: -13\/23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 500229.1 days to milliseconds.\nAnswer: 43219794240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126 and 246699.\nAnswer: 3453786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1327 + -14611\/11. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -256 - 124. Let n = p + 543. List the prime factors of n.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84326 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 12 = -0. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 755991399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -1 - (-7 + (-16 - -25))) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 218*u**2 - 29868*u + 487. What is f(137)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bhcchbbhhhc. What is prob of sequence hcb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*u = -11 + 3, 5*u - 10 = 3*t. Let f be 2\/(-9) - 48\/27. Put f, 1, t in ascending order.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 15 = -3. Suppose 88*k - 71 = -247. Let h = f + k. Solve 0 = 3*l + 2*l + h*w - 16, w - 1 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8777*r + 0 + 8948*r - 1 to m + d*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhaaahhthhahaaaahah. What is prob of picking 2 a and 1 t?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1356659 (base 10) in base 13?\nAnswer: -386675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/32 and 67\/2534272.\nAnswer: 2534272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + (-24)\/9)\/(((-182)\/(-195))\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1416 (base 7) to base 8\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 4:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 35 - 5. Let y(u) = m - 6 + 2*u**2. Let q(b) be the second derivative of b**3\/6 - 2*b. Give y(q(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1718)\/(-414) + 28\/4 + -4. Let n = 5\/69 + q. Let x = 1\/929 + 30649\/7432. Find the common denominator of n and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1628367 and 151476?\nAnswer: 6513468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**5\/60 - k**4\/4 - k**3 - 3*k**2. Is m(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.429 + 5.289. Let x = 317.14 + -314. Let d = x + s. Which is the closest to -2\/5?  (a) d  (b) -1\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 211 = 3*j - 65. Suppose -j = -t - 86. Let o = 74 - 60. What is the smallest common multiple of t and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h\/h**25)*h)\/((h*(h\/(h\/h**(2\/33)))\/h)\/h*h) assuming h is positive.\nAnswer: h**(889\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/7)\/x**(2\/5)*x**(2\/91)\/(x**26\/x))**(-35) assuming x is positive.\nAnswer: x**(11287\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 180572994.\nAnswer: 54171898.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 0*p - 1501*p**2 + 1487*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 4, j: 3, a: 2, d: 4, h: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692988 (base 13) to base 7.\nAnswer: 30112623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -394100 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z**5 + 5*z**4 - 5*z**4 + (3*z**2 + 2*z**2 - 6*z**2)*(6*z**3 - 3*z**3 - 4*z**3) + (3*z**2 - z**2 + 0*z**2)*(3*z**3 + 4*z**3 - 5*z**3).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 - -28 - (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -y**4\/12 + 3*y**3\/2 + 3*y**2 - y. Let j = -12 + 20. Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 - 124 = 17*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39 + -33. Let p be (12\/8 - 4)*a\/(-5). What is the nearest to 2 in -2, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*h + 7 = 0, 0 = -5*l - 3*h + 6 + 5. What is the third derivative of -28*p**4 - 18*p**4 - 145*p**2 + 4*p**l wrt p?\nAnswer: -1008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjjjjjoj. Give prob of picking 1 j and 1 o.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 30813.729 rounded to the nearest one hundred?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17249844 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*d + 5*s - 7 = 0, -2*s = 2. Solve b + 3*i = 2 - d, b + 2 = -i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.056 - -0.044. Are 0.09 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -13 - 4) + (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180.6 minutes in milliseconds?\nAnswer: 70836000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -170*v - 170*v + 342*v. Let r(c) = 10*c**2. What is n(r(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 422 a factor of 5070330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/15*15\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2651 >= -2653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.18.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let v(s) = 186*s - 1 + 2 - 185*s - 5 + 5. Let t(n) = -2*n**2 - 6*n - 6. Calculate a*t(f) + 6*v(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -7*c**3\/3 + 2*c. Let a(f) be the third derivative of f**4\/24 + 3*f**2. Determine 12*a(m) + p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -401 - -401.484. Let q = y + -0.504. Which is smaller: -0.044 or q?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18134 + -18133.8. Which is the nearest to 2\/5?  (a) -1  (b) 527  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 16 = -2*z, -1037*l + 5*z = -1042*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -100.493034 and 0.213932?\nAnswer: 100.706966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.07 equal to -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 148 - -66420?\nAnswer: 66568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -6*o - 7. Let w(g) = 28*g + 30. Let q(h) = -13*h - 14. Let a(p) = -7*q(p) - 3*w(p). What is 5*a(r) + 6*n(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*j - 21 = 0, -y - 8*j - 12 = -3*j. Which is the closest to 1.9?  (a) -2  (b) y  (c) 0.2  (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4508302 (base 10) to base 2\nAnswer: -10001001100101010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 240, -1, 6, 2 in descending order.\nAnswer: 240, 6, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55 - -181. Calculate the highest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 5*n + 1140 = 0, -4*r = -0*r + n - 2280. What are the prime factors of r?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -123*x**4\/4 - x**2 + 76*x + 166. What is the derivative of b(f) wrt f?\nAnswer: -369*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-15 + 11) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/7564 or -1?\nAnswer: -1\/7564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 - 3)*(614 + 579 - 1689) + 1 + 1 - 4 + (-1 + 0 + 0)*(2 - 5 + 1) - 1 + 0 + 3)*(2*z - z - 4*z).\nAnswer: -1494*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -9*s**2 + 848*s - 177. What is z(94)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 83486 and 213109?\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + w**2 - w - 1. Let n be i(0). Let g be 11*1\/(-1)*n. Let j = -4 + g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 215, 385, 417, 245, -197, -975?\n\"Answer: -11*s**3 - 3*s**2 + 256*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence umfp when four letters picked without replacement from mmuuummmummupmmfu.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14112 + -13573. What is the remainder when 546 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 21*r - 12. Let g(y) = 1. Let l(p) = -2*g(p) - n(p). Let d = -193 + 189. What is the units digit of l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*c**2*s - c**2 - 55*c - 40*s**4 wrt s.\nAnswer: -2*c**2 - 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**7\/(w**(-11)*w))**(2\/129))**(-2\/17))**20 assuming w is positive.\nAnswer: w**(-80\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 562 - 284 + 14616*f**3 - 279.\nAnswer: 14616*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of k**3*p - k**2*x - 3*k**2 - 7*k*p*x - p*x - 37661*p wrt k?\nAnswer: 3*k**2*p - 2*k*x - 6*k - 7*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -494841 or -494839?\nAnswer: -494839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -3*i + 7, 5*g - 5 = -i - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288923801.\nAnswer: 288923801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 559763.\nAnswer: 131, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 - -2.05. Let p = -8 + t. Let m = -5.99952 - p. Round m to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((33\/(-24))\/(-11))\/((-4)\/(-24)*-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3652 + 1595 = -670*c - 2123 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**4 - 2*q**4 - 4*q**4 + (2*q**2 + q**2 - q**2)*(-q**2 + 5*q**2 - 3*q**2).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 44147 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 9*l**2 - 11*l + 14. Let f be b(10). Suppose 7*z - 3*z + 2*z**f - z**3 - 2 - 3*z**3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -3. Let t be (-2)\/b + 50\/3. Suppose -t = -3*u + 25. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1582 + 28531\/18. What is the common denominator of -37\/747 and h?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19\/((-513)\/36)*1*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 3, -0.37, -0.3, 1\/3 in descending order.\nAnswer: 9, 3, 1\/3, -0.3, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*b = -19*b - 134*b - 149*b + 3360 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -5*x**2 + 2*x + 21. Let h(w) = -3*w**2 + w + 11. Let l(g) = 4*b(g) - 7*h(g). Let j be -2 - (1 + (-1 - 5)). Let d = 3 - j. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -219877 and 1.2.\nAnswer: -263852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -18 + 29 + -7 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cchchhh. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5637667627 to 5 decimal places.\nAnswer: 0.56377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g + 2. Let t be j(0). Factor 4\/3 - 2\/3*c + 2\/3*c**3 - 4\/3*c**t.\nAnswer: 2*(c - 2)*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, h: 1, g: 2, z: 2, e: 1}. Give prob of sequence zhgg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 109.3648 take away 0.5?\nAnswer: 108.8648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of -3*a**5\/5 + 9*a**4\/4 + 7. What is p in r(p) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*(sqrt(1200) + sqrt(1200)*2 - sqrt(1200))*2)\/(sqrt(144)\/(-1*sqrt(9)) + sqrt(160)\/(1*sqrt(10) + sqrt(10))).\nAnswer: 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**4\/12 - 11*u**3\/6 - 275*u**2\/12 + 450*u + 1500 = 0.\nAnswer: -15, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 37169, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95323108?\nAnswer: 2, 73, 326449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 + 4)*(43 - 42). Let z = -1 + 1. Solve z*r + g*r - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -90 + 90. Suppose s = -5*t + 3*h + 137, -5*h = 2*t - 85 + 24. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 160*l**2. Let q(z) be the second derivative of -z**4\/6 + 4*z - 28. Calculate k(q(y)).\nAnswer: 640*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -706*i - 2788. Let f be k(-8). What is the greatest common divisor of 165 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199304 is divided by 1533.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, y: 3, d: 4}. Give prob of sequence dyg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 18 = -78. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/4)\/z*z*z\/z**(-1\/5)*z)**(-37))**(6\/11) assuming z is positive.\nAnswer: z**(-4329\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 4*a - 1. Suppose -i + 5*g - 4 = g, 5*i + 2*g - 24 = 0. What is the lowest common multiple of n(-3) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*1644\/8520 - ((-1)\/(-10))\/((-102)\/(-408))\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-196)\/(-7))\/(350\/(-875)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2, 528, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 3*d + 12 = 0, 0 = b - 2*d - 121. Let s be (-15)\/(-6)*4*28. Suppose 0*l + b = 2*l + c, -5*l + 5*c + s = 0. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2\/15, 0.3, 0, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 624118140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.93 - -2.07. Let t = -53\/93 + -3\/31. What is the second biggest value in -0.5, i, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + s - 4 = -2*v, -2*s = -4*v. Let p(k) = -4*k**3 - 3*k**2 - 3*k - 2. Let q(h) = h**3 + h**2 + h. Calculate v*p(b) + 3*q(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 58637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -146 divided by 8670\nAnswer: -73\/4335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 6*x - i = -6, 3*x - 7 = -4*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + 0.2. Suppose -4 - 10 = -j. Let x be (-2)\/12 - j\/(-228). What is the closest to s in -3, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -336 divided by -16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 4*u**2\/7 + 8*u\/7 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -73784\/47 > -1571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8307418 or -8307419?\nAnswer: -8307419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 1. Let p(u) = -33*u + 20. Let r(f) = -4*o(f) + p(f). Let k(x) = x + 1. Let y(a) = 3*k(a) - r(a). What is the first derivative of y(i) wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + 7*h**2 + 9*h + 2. Let n be u(8). Let i be 0 + 2 - 50\/n. Let a(g) = 61*g - 31*g - 28*g. What is a(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -237 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z + 2*b - 6, -b + 2*b - 3 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 3*v - 4. Calculate m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i + 4*i)*(-3*i + i - i)*(30*i**3 + 34*i**3 - 18*i**3).\nAnswer: -552*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 5*p = 0. Suppose 4*r - 5*g - 68 + 24 = 0, 2*r - 3*g = 20. What is the remainder when r is divided by 5 + p + 3\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3090\/(-8))\/(118\/(-8)). Let c = a - -9496\/649. Let z = -41 + c. What is the biggest value in z, -0.3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(204) + 6*(sqrt(204)*1 - sqrt(204)))*-2)\/((sqrt(72) + 1*-2*sqrt(72))\/((sqrt(66)*-1)\/sqrt(11) - sqrt(6))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 943*q**2 + 2*q**3 + 132*q**3 + 103*q**3 - 943*q**2.\nAnswer: 237*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 6, -2, 0, 245, -27 in increasing order.\nAnswer: -27, -4, -2, 0, 4, 6, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.678395 years in millennia?\nAnswer: 0.001678395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -2e93?\nAnswer: -2e92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 5*u + 47. Let n be r(-10). Let f(c) = -4*c**3 + 48*c**2 - 28*c + 8. Let j(v) = -v**3 + 16*v**2 - 9*v + 3. Let l(b) = n*f(b) + 8*j(b). Factor l(g).\nAnswer: 4*g*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**5\/5 - 94058*u**4\/5 - 658338*u**3\/5 - 1410678*u**2\/5 - 846396*u\/5 = 0.\nAnswer: -47022, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.078 and -0.29?\nAnswer: -0.02262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2775*s**2 + 1847*s - 56. Let q(b) = 2776*b**2 + 1834*b - 48. Let c(a) = -7*q(a) + 6*v(a). Find the second derivative of c(u) wrt u.\nAnswer: -5564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 868\/42*(-14)\/(-448)*-12?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29\/2 - -207\/14. Which is smaller: s or 13\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37968215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-3\/20)\/c*c\/(c*c**(3\/5)*c*c*c) assuming c is positive.\nAnswer: c**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/(1632\/(-1063027)) - 30\/(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 9476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*d - 91*d + 6010 = -4285 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-1)\/44*2*204\/170.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22885571.\nAnswer: 827, 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 109 - 113. What is the closest to 0.1 in a, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 8*s**2 - 2*s - 1. Let h be q(2). Let k be (-96)\/6*(-6)\/8. Let y be (8\/k)\/(2\/h). Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473406.15 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5621159.7s in days?\nAnswer: 65.05971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -276, -3113, -2 in decreasing order.\nAnswer: 2, -2, -5, -276, -3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2459700 divided by -819900.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 249693*n*y**2 + 189*n*y - 133348*n - 606*y**4 + 2 wrt y?\nAnswer: 499386*n - 7272*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 39.44  (b) 0.3  (c) 5  (d) -0.16  (e) 0.1  (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-1\/4))**(-40)*((x*x**(-1\/3))\/x*x)\/x*(x**(1\/2)*x)\/x assuming x is positive.\nAnswer: x**(-179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 7:46 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1399*c**4 + 1 - 4636*c - 413*c**4 + 6785*c - 1 wrt c?\nAnswer: -21744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122143265, -244286526, -366429787, -488573048, -610716309?\nAnswer: -732859570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/1210307 and 51\/16576.\nAnswer: 77459648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*a = -4, -2*m + 2 = -5*a - 0. Let o be 12\/(-9)*(0 - m). Suppose -f = -3*f + o. What is the least common multiple of 6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87 - 337. Let j = 715 + p. List the prime factors of j.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 70 and 970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 46 + 38. Let s = -11 - -5. Let y = s + g. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2b0 - 4?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r**2 - 3 + 3)*(0*r - 4 - 1 - 4*r) as k*r**2 + y*r + p*r**3 + d and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - t**2 + 3*t - 3. Calculate u(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*d**3 + 5*d**3 - 7*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*a**3\/7 - 772*a**2\/7 + 1112*a\/7 - 320\/7 = 0. What is a?\nAnswer: -40, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -351 + 517. List the prime factors of p.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 59151296.\nAnswer: 59151296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/21 - 71\/84. Suppose 5 = u + 5*b, -1 = -u - 3*b - 4. Let g be 70\/7*(-2)\/u. Sort g, i, 2\/23 in ascending order.\nAnswer: i, 2\/23, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15774633781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1447 - -1464. What is the remainder when 1919 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -116*l**3 - 69*l**2 + 200*l**4 - 203*l**2 - 196*l**4 - 112*l**2.\nAnswer: 4*l**2*(l - 32)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.0185, -38\/89, 2, -4, 2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-966*l + 966*l + 46*l**2)*(0 - 1 - 1)*(3 - 7 - 3).\nAnswer: 644*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*z + 352*z - 4888 = -355*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f + 77 + 128 = -135. Let w(y) = -y**2 - 21*y + 20. What is w(f)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 3*u + 1. Let t(g) = -3*g**2 - 12*g - 936. Calculate 4*m(b) + t(b).\nAnswer: b**2 - 932","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/670 and 145\/402?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of -1\/6*i**2 + 1\/9*i**3 + 1\/12*i**4 - 1\/3*i + 24. Factor x(r).\nAnswer: (r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 15. Let i(u) = -u**2 - 5*u - 5. Let y be i(-5). Is y bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1235 and 49647?\nAnswer: 248235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**5 - 44*v**4 - 464*v**3 - 720*v**2 = 0. Calculate v.\nAnswer: -5, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 0.5, 0.2, 4, -5\/9, 83 in descending order.\nAnswer: 83, 4, 0.5, 1\/3, 0.2, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 33  (b) -5  (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (171 - 57) + -53\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 27417841214071?\nAnswer: -27417841214070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 7*r**2 - 2*r + 26. Let u be i(-6). Differentiate -g**u + g**2 - 45*g - 10*g**2 + 49*g + 62 with respect to g.\nAnswer: -20*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*j - 79 - 256 = 0. Suppose s - 12 = -3*s. Solve -j*l + 3*a = -5, -s*l + 14 = -2*a - 2*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 16 = 3*u - 477, 2*r + 727 = 5*u. Calculate the remainder when 149 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 divided by 20213.\nAnswer: -2\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5609732 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4*m**2 - 3*m - 7. What are the prime factors of n(-6)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 38 = 5*c, -5*m + 37 = 5*c - 2*m. Let u = c + -5. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -7 - (-66 + 68)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-2))\/(4\/(-72)). Let d be (-4)\/(-6)*f\/(-3). Sort 5, 2, d in decreasing order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76 and 28481.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 495939 + -133903681\/270. Find the common denominator of -119\/270 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, w: 3, e: 6}. Give prob of picking 1 e and 3 w.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (4 - (3 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 - -47. Suppose -3*l = i - u, -6*l + 2*l + 12 = 4*i. Calculate the remainder when 12 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9 or 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**0*m)**3\/(m**1)**(-1\/6))**(-18\/7) assuming m is positive.\nAnswer: m**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19582 and 479522?\nAnswer: 4694999902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 108454\/4635 + 1\/927. Let g = i + -23. Find j such that -g - 2\/5*j + 2\/5*j**2 + 2\/5*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 18*b + 29. Calculate i(5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w + 880 - 800 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1745078 and -0.2?\nAnswer: -349015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 4\/7  (c) -6  (d) -0.1  (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.788 rounded to one dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - n - 11)*(2*n + 3 - 3)*(-84 + 107 + 61) as m*n + f*n**2 + y and give f.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -2 + (-62 - (79 - 134))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 - 2 + x - 3)*(0*x + 5*x + 5*x) to the form f*x**2 + c*x + n and give c.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 94*z - 160. Let l(x) = -45*x + 80. Let o(w) = 7*l(w) + 4*s(w). Differentiate o(a) with respect to a.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1\/7)\/(b*b**36*b) assuming b is positive.\nAnswer: b**(-267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 22*u**2 + 54*u + 36. Is t(20) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 32*l**2 - 33 - 31 + 130 - 32.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 3 + (2 + 23 - 6)*(-4 - 1 + 2))*(-2*q + 4*q + 7*q).\nAnswer: -504*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*h**3 + 23*h**3 - 42*h**3 + (-4 + 2 - 3)*(0*h**2 + 2*h**3 + 0*h**2) + 2 + 2*h**3 - 2 - 2 + 3*h**2 - 2*h**3 - 3*h**2.\nAnswer: -50*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2 = -22. Let k be (15\/12 - 2)*-8. Suppose 2 = 4*b - k. Solve -5*d + j = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/5 + 16148*f**2 + 814787704*f\/5 - 1629898384\/5.\nAnswer: 2*(f - 2)*(f + 20186)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -7. Let l = 0 + y. Let f(w) = w**3 + 52*w**2 - w - 56. Let u be f(-52). Put 4, u, l in decreasing order.\nAnswer: 4, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -452523 (base 6) to base 11\nAnswer: -26788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -74, -141, -208?\n\"Answer: -67*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b - 3*b + 7*b - 36*b**3 + 42*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 198 + -190. Suppose -b*h + 208 = -2032. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 54498*j**2 - 109003*j + 10. Give y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15.96844 - 0.03156. What is the fourth biggest value in 3\/4, g, 4, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/3  (b) -0.5  (c) 3  (d) 9  (e) -2  (f) -0.055  (g) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39412604 and 2156.\nAnswer: 275888228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**3 - 6*j + 341*j**2 - 341*j**2 - j**4 + (-2*j**3 + 5 - 5)*(-2*j + 1 - 1).\nAnswer: 3*j**4 + 2*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**2 + h - 1. Let p(d) = d**2 - 9*d + 1. Let u be p(9). Let c be o(u). Let a = 0 - -4. Solve x + 2 = -3*n, -x - a + 2 = -c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = d + 1, 5*v - 8 = 3*d + 9. What is the tens digit of -5 + 237\/2 - (-2)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 3*o + 6. Let q(k) = -k**3 + 7*k**2 - 4*k + 3. Let n be q(6). Suppose 3*a = o*a + n. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -2922.\nAnswer: -1\/974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 497 - 503. Let y be (78\/12 + w)\/(2\/92). What is the highest common divisor of y and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h + 24. Let f(q) = -q - 6. Let u(b) = 22*f(b) + 6*v(b). Let j be u(-5). Suppose -4*d + 10 = -j. Solve 25 = -2*k - d*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y + 1 + y - 2 + 130756*y**2. Let c be h(-1). Suppose -4*z + c = -125244. Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 714 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53\/21 + -5\/3. Let y = -0.3 - -0.1. What is the nearest to -1 in 1, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h + 345. Is 74 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 2 + 2)*(y + 0*y + 4*y) - 5*y**2 - y**2 + 3*y**2 - 5*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7096 * -11.\nAnswer: -78056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2886, 2440, 1682, 600, -818, -2584, -4710, -7208?\nAnswer: -10090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3882453 or -3882452?\nAnswer: -3882452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*o - 68*o + 295*o - 3445 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -220 (base 5) to base 7\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 518741 (base 9) to base 4\nAnswer: 1023100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5946*o + 5951*o - 5, 4*o - 13 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(2) - sqrt(2))*-1 + (4*sqrt(2) + sqrt(2))*-2.\nAnswer: -10*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 2\/3*q**3 - 2*q + 0*q**2 - 1. Determine x so that s(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/((2\/(-10))\/((-6)\/15)). Let w be q*((-16)\/(-4) - 5). Let r(l) = -3*l**2 - l + 2. Calculate r(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1688 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (0 - 32)\/(5\/(-12 + 7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 8 = 2*f. Suppose -3*x + 18 = -4*g, -3*x - 2*x + 30 = f*g. Let o(t) = -2*t + 16. Let q be o(x). Solve s - q = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**3 - 6*d**2 - 86*d + 46. Let u be k(8). Let c(n) = 7*n**2 - 3*n. What is c(u)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 - 31*g - 4. Let x(a) = -a - 1. Suppose -190*m + 110 + 39 = -41. Calculate m*t(c) - 4*x(c).\nAnswer: -2*c**2 - 27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 5*r**2 - 8*r - 12. Let t be f(-6). Solve t = -7*y + 4*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 173679 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -334 + 345. Calculate the smallest common multiple of 158 and q.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/26*((-40)\/65)\/4*260\/130\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 3*b - 12. Let l be 2 + b + (3 - 0). What is the units digit of l\/(4\/8) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o + 5 - 5 - 5*o - 2*o + 2*o + (o - 2 + 2)*(-2 + 2 + 1).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * -0.578067.\nAnswer: -5.202603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + 5*p - 3. Let j be c(2). What is the second derivative of -j*d**2 - 3*d - d + 5*d wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-226)\/(-4)*7\/(-210) and -52\/85.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21289*w + 6513*w + 890153 + 632545 = 1088*w for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2. Let w(t) = -27*t**2 - 27. Let h(p) be the third derivative of -p**3\/6 - 9*p**2 + 1. Let l(c) = -81*h(c) + 3*w(c). Determine s(l(j)).\nAnswer: 13122*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12, -22, -32?\n\"Answer: -10*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 3*u - u + 0*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4 = -10. Suppose -3*n - 15 = 0, 0*n = 4*r + k*n - 9. Suppose -r*i + 1082 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 204.8 - -622.2. Let w = 828 - r. What is the second biggest value in 3, -26, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3417)\/(-536) + (-3)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -234 - 49*u**2 + 234 - u**2 + u**2 + 11*u**2 + (u - 4*u + u)*(2*u + 2 - 2) to the form s*u + j + c*u**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**4 - 34843*o**3 - 110875*o wrt o?\nAnswer: -24*o**2 - 209058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/567 and 97\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 + (-1218)\/30 - 3\/(-5). Are r and -36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (0 - -7)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-14) + (-3 - 75\/(-21)). Let b(a) = a**3 + a**2 + a - 4. Let t be b(q). Find the common denominator of t\/(-6)*170\/(-20) and 36\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (38\/76)\/(2\/(-40)). Calculate the common denominator of o\/(-195)*219\/(-12) and -93\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2029 - 1.7971. Put -4, -0.1, 1\/14, z in descending order.\nAnswer: 1\/14, -0.1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 745295?\nAnswer: 5, 149059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-40)\/14)\/(22\/(-77)) - 0. Suppose -8*b = 38 + t. Let d(u) = 5*u**2 - u - 4*u**2 + 7*u. Give d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = 4*n. Let i = 1 - n. Suppose i*g = 2 + 7. Solve 0*h - g*h - 12 = 4*o, -o = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -268*b + 0 + 20\/7*b**3 - 9\/7*b**4 - 16\/7*b**2 + 1\/7*b**5. Let v(g) = 0. What is g?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1839*h - 2482*h + 1693*h)*(0 + h - 1 + 0*h).\nAnswer: -2628*h**2 + 2628*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 2. Let k = s + 5. Let n(p) = p + 1. Let r be n(2). Solve -r = -k*t - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 45.248445 and -8.\nAnswer: 37.248445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -447*m + 179*m - 1400 = -168*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 993 a factor of 2438992863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (32 + -42 - (-20 + 9 + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x + 38. Let h be t(0). Suppose -h*p = -36*p. Solve 5*b = -p*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 1, -61 in descending order.\nAnswer: 3, 1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48.57 + -49. Let t = -0.58 + j. Let s = t + 0.01. Sort s, 0.5, 0.14 in descending order.\nAnswer: 0.5, 0.14, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -q - 2*k - 0, 0 = 4*q + 4*k. Suppose 0*c - q*c = -22. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2642*f**3*s*u + 6*f**3*s - f**3*u**3 + 7*f**2*s*u - 3*f**2*u**2 + f*u**3 + 3*s*u**3 + 25*u wrt f.\nAnswer: -15852*s*u + 36*s - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9884.\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 6. Let w be q(-6). Suppose 4*u - 23 = 4*b + 69, u - 2*b - 21 = 0. Let f = -23 + u. What is the third biggest value in f, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -14*z - 0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-98)\/(-3)*(-36)\/(-14). Calculate the greatest common factor of m and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13331?\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2296599 to the power of 1\/2, to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1614 - 795.5. What is g rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8 - 2 + 9 - 21 - 133*m. What is the tens digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 5*g**2 - 4*g + 3. Let z(q) = 26*q**2 - 21*q + 16. Let m(w) = -11*k(w) + 2*z(w). Let s be m(1). What is the tens digit of 11 + (0 - -1) + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 534 and 215024.\nAnswer: 645072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.1  (b) -1\/4  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**2 + 8834 - 8834.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 61\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6868, -6896, -6924, -6952, -6980?\n\"Answer: -28*a - 6840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 + x**3 - 7*x**3 + (3*x + 16*x**2 - 3*x)*(-x + 3*x + 0*x))*(-43 - 28 + 368 - 106).\nAnswer: 4775*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**4 + 400*u**3 + 11510*u**2 + 140400*u + 616005.\nAnswer: 5*(u + 13)**2*(u + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 26, 9.9, 1, 8\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 13375.0041 to the nearest one hundred.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.17452 to three dps.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**8\/196 - 9*l**7\/490 - l**6\/140 + 2*l**5\/35 + 3*l**4\/28 + l**3\/14 - 17*l**2. What is d in a(d) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11+744.51\nAnswer: 733.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 - 86. Put 1, -4, x, 2 in decreasing order.\nAnswer: 2, 1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -99  (b) -0.3  (c) 55\/36  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46886883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2084071229 from -2409.7.\nAnswer: 2084068819.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 684 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1.9, -4\/5, -1, -4, 6.\nAnswer: -4, -1, -4\/5, 1.9, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1494127 litres in millilitres?\nAnswer: 149.4127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6 + -1 + (3 - 20). Let q be 5 + (-6)\/u*-2. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - -2. Suppose 0 = h*f - 8*f + 35. Let z(j) = j**3 + 10*j**2 + 5*j + 11. What is the remainder when z(f) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6726996.\nAnswer: 2, 3, 199, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmqqmq. What is prob of picking 2 q and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*b - 4*b - b**2 - 27*b**2 - 10*b.\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -3*b - 17, 0 = 5*b - 3*c + 5*c + 3. Sort b, 91, 3 in increasing order.\nAnswer: b, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*y + 49. Suppose 0 = -9*h + y + 14. Let l = -11 - -14. Solve -q - 2*q - l = 0, -5*q + 5 = h*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179042*s + 179042*s - 2273*s**3.\nAnswer: -2273*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n**2 + 13*n + 17. Calculate the remainder when 340 is divided by y(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + g**2 + 5*g. Let h(k) = 30*k**3 + 5*k**2 - 100*k. Calculate h(m) + 20*l(m).\nAnswer: 50*m**3 + 25*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 - 49. Let m be 3*(-12)\/126*14\/z. Let o = -0.85 + 5.85. Which is the third biggest value?  (a) m  (b) o  (c) -3  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + 1 + (-8)\/(-6). Let t = -100.5 + 109. Let i = t - 4.5. Which is the nearest to 0.3?  (a) 0  (b) k  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*i - 10 = 2*r, 5*i - 6 = -2*r. Let c(o) = -5*o - 9. Let q be c(-3). Let z(h) = q - i + 4*h - 2 - 1. Determine z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6277 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: What is the nearest to 0.2 in -0.1, 2\/7, -108, -4\/3, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -264003, -264024, -264047, -264072, -264099, -264128, -264159?\n\"Answer: -m**2 - 18*m - 263984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - -0.56. Let n = v + 0.14. What is the closest to -1 in -0.4, 5, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 0. Suppose -6*m = -t*m. Let b(o) = 5*o - 32. Let q(g) = 3*g - 21. Let i(y) = -5*b(y) + 8*q(y). Determine i(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 times 59.703\nAnswer: -5.37327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-117)\/12)\/(-13))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -13*i + 121\/3*i**2 - 44\/9*i**3 + 2\/9*i**4 + 0. Determine d so that c(d) = 0.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10021201020 (base 3) to base 8\nAnswer: 176237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 143*a + 2156. Let s be d(-15). Solve 1 = 2*l + s, 0 = -3*y - 4*l - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3*o + 17, -x + 6*x = 4*o - 41. Let y be 8\/20 - o\/60. Which is the nearest to 0?  (a) 3  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.63 + -6.43. Suppose 4*i - 5*q = -2*q - 7, -5*q = 4*i - 33. What is the smallest value in i, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 803808.8 litres in millilitres?\nAnswer: 803808800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, v: 2, w: 2}. What is prob of picking 1 w, 2 v, and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 12*c - 7. What is the remainder when 1 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173247 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138369, -138365, -138361?\nAnswer: -138357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-9))\/((-40)\/(-15))*2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = -0*d - 5*d - 4*s, 5*s - 25 = 0. Suppose d + 31 = 3*v. Let m = v - 21. Is -2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12429 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 161 + 3\/((-3)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hen when three letters picked without replacement from qeennh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1112 (base 6) in base 12?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1173 - (0 - (-12)\/(-20))*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1397365 by -1397365.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 6*h + 145, -3*h = -425*o + 416*o + 5 + 10 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {x: 2, l: 3, h: 2, m: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.017, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 330, 304, 342, 474, 730, 1140?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*q - h, -3 = 3*q + 5*h - 0*h. Let c = -24 + 24. Suppose 0 = 2*y - 10, c*u - 2*y - 6 = -q*u. Solve -w + 2*w = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 992911764.\nAnswer: 2, 3, 13, 6364819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwjdjjjnwjjjdwjdww. What is prob of sequence jdn?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*k + 17387 = 7*k + 15243 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10882264 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 127 = -49. Let l be 15\/(-3)*(x\/24 - 0). Is -9 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z + 3*c - 60 = 3*z, 2*c = 3*z - 36. Let u = 49 + -25. Calculate the greatest common factor of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1988 divided by 7.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.41466 micrograms in grams?\nAnswer: 0.00000141466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of ((-30)\/4)\/((-21)\/1834*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2, 12, 26, 44, 66, 92?\n\"Answer: 2*y**2 + 4*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2 = -3. Find the second derivative of -9*t**2 - 2*t**4 - p*t + 9*t**2 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9 + -93 - (-1)\/(3\/(-12)). Let m = -79 - g. Let z = m - -3. Calculate the smallest common multiple of z and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1043 (base 6) to base 15\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 347, 345, 343, 341, 339, 337?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -7*o + 0 + 0*o**2 + 1\/6*o**3. Let q(m) = 18*m**2. What is l(q(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a3 + -4615a?\nAnswer: -45a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8449 and 439?\nAnswer: 3709111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 8*i + 3*z + 2 = 0, 4*z + 8 = 0. Let u(b) = -3*b + 21. Let n be u(7). Sort i, 3, n, 7 in ascending order.\nAnswer: i, n, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1282 - 4063 = -3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 5*r - 6. Suppose 16 = -r*w + 1. Let p = -9088 + 9081. Is p equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4012?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 286, 1148, 2586, 4600, 7190?\nAnswer: 10356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44072 and 1652?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*a**3 + 114214*a**2 + 17676734*a wrt a?\nAnswer: -30*a + 228428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8846, 17684, 26540, 35420, 44330, 53276, 62264, 71300?\nAnswer: 80390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(68) + 4*-2*sqrt(68))*5)**2*-6 + -4.\nAnswer: -499954 - 4200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(2\/9))**(-39)*(k**(-1\/3))**(-17) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4511*t**3*y**3 - t**2*y**3 - 12*t*y**3 - 15*t*y wrt t.\nAnswer: 27066*t*y**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*u - 324, 36 + 69 = u + 4*j. Calculate the remainder when u is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1619 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 376717357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**4\/3 - 2*c**2. Let d(p) = -p + 12 - 12 - 2*p. Give d(h(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - b - 665531, 17*s = 14*s + 3*b + 665535. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, 4, 1828, 1 in ascending order.\nAnswer: 1, 3, 4, 5, 1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 8) + 11\/(11\/9). Let o be (2\/(-5))\/(5\/(-25)). Suppose -2*z - o*z = -3*l + 21, 0 = -3*z - 9. Solve 3*j + 9 = -m*i - 0*j, 0 = -l*i - 3*j - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/116 and -43\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*q + 4675 = -1004, -5679 = -3*o + 2*q. What are the prime factors of o?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.71 - 0.71. What is the fourth biggest value in 2\/75, -0.5, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 1, -2 in decreasing order.\nAnswer: 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -182\/5 - 184\/5*i**2 + 1\/5*i**3 + 73*i.\nAnswer: (i - 182)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 332687, 332446, 332051, 331508, 330823, 330002?\nAnswer: 329051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*s**2 - 1089*s - 1092*s + 2181*s to c + u*s**2 + p*s and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -64 - -62. Find the common denominator of (c - -6) + 622\/(-154) and 63\/8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 81 = -5*c, -5*c - 22 = -q + 17. Calculate the lowest common multiple of q and 7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 + 16252*a\/5 - 113862\/5.\nAnswer: 2*(a - 7)*(a + 8133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*s + 1449044 - 157076 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 74.6 and 348083879874.\nAnswer: 348083879948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 6. Suppose 0 = -3*r + c, 0 = -0*a + 2*a + 2*r - 104. Suppose -5*m = 2*d + 87 - 343, -m = d - a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14.58 + 13. Let k = t - -1.52. What is the nearest to -1\/3 in k, -2, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8056)\/11130 + 2\/35. What is the fourth smallest value in -26, 0, n, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 17*z**3 + 0*z**2 - 1 + 20*z**3 + z. Let k be x(1). Suppose 4*j - 1495 = -k*d + d, -4*d - 1488 = -4*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -3, 4, 1, -5.4387?\nAnswer: -5.4387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/9 - (-130)\/30. Solve 0 = -g - 3*b - x - 9, 0 = 5*g - b + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1249.298 rounded to the nearest ten?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 971073929 to the nearest one hundred thousand.\nAnswer: 971100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -8*u + 162. Let q(i) = -i + 1. Calculate -9*q(g) + w(g).\nAnswer: g + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 11, q: 1}. What is prob of picking 4 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 883.97 - 879. Let d = g - -0.03. Let m = -672 - -674. Which is the third smallest value?  (a) m  (b) d  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -459*-5.\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 5*z + 19, -43*p - 4*z = -39*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -248 divided by 31.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 1313*u - 19477. Determine t(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4762 at least as big as -5227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011 (base 5) to base 13.\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 21. Let y(j) = -j**3 - 9*j**2 + 9*j - 12. Let k be y(i). Let p(q) = 4*q**2 + q + 2. Is p(k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/4972032 and -43\/1872?\nAnswer: 4972032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 52374. Let a(k) = -10*k**2. Give s(a(c)).\nAnswer: -10*c**2 + 52374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.2 - -10. Let v = 0.7 - z. What is the closest to v in -1, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 432 + 2?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 - 2212*i + i**2 - 1149*i.\nAnswer: -4*i**2 - 3361*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, a: 2}. What is prob of picking 1 d and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*r**2 + 183*r - 183*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*c - 37 = 0. Suppose -4*z + 7 = -c. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + o - 3*y = -9, 0 = -5*y + 10. Let l be -2*(33\/2 - o). Let k = -18 - l. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1290 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 815 in 1, 13, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**4\/9 + 514*q**3\/9 + 2380*q**2\/3 - 3408*q - 51840 = 0.\nAnswer: -12, -9, 8, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -85 divided by -17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17903, 17450, 16695, 15638, 14279, 12618?\nAnswer: 10655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 8) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 + 180. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/9*(-3)\/(-2). Suppose u*k = -2*k. Factor 3\/2*w**2 + k + w**3 + 1\/2*w.\nAnswer: w*(w + 1)*(2*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.53829 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**2 - 13*t + 4. Let g be o(-7). Let b(v) = -v + 5. Let w be b(6). Sort 0, g, w in descending order.\nAnswer: 0, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 466860 is divided by 3383.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mqe when three letters picked without replacement from eqmnlnl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -9.9. Let i = f - 3.1. Let h = 1.9999925 + i. Round h to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(((l**(-5)\/l*l*l)\/l*l)\/l))\/l*l)**(-4\/17)\/((l*(l*l*l**(-8)*l)\/l)\/l**(6\/13)) assuming l is positive.\nAnswer: l**(895\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9503 - -9502.997747406. Let r = a - -19.002257294. Let m = r - 19. Round m to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (91228\/6)\/((-36)\/(-27))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 20 - 66 = w, -i = -3*w + 57. Let q = -11 - i. Suppose -4*s + 38 = -q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 480194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*a**3 - 9*a**3 + 4*a**2 - 4*a**2 + 70*a**3 + 302*a**3.\nAnswer: 281*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(2\/63)*h*h\/((((h*h**2)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 45 - 6)*(-4*u + 3*u - u).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 51 + -48. Solve 5 = 2*q - 6*c + c, p*c + 2 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000390136 rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 9071*d - 38. Let z be q(3). Suppose -4873 = 14*t - z. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c + 2*c**3 + 15*c + 2 - 15*c)*((0*c - 3*c + 2*c)*(2 - 2 - 1) + (1 - 2*c - 1)*(-5 + 1 + 2)).\nAnswer: 10*c**4 + 30*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/(84\/8)*-18. Let w be m*(-3 - 325\/(-15)). Suppose d + 76 = w. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = -0*x + 126. Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g + 18. Suppose -3*u - 25 + 4 = 0. Let z be c(u). Suppose -4*f = z*f - 1528. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 378 - -2142. Suppose 0 = 342*l - 339*l - d. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68875635.49999948 - 68875637. Let m = 1.5 + h. What is m rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 - 0.7. Let c = j - -3. Is 1\/3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r + 22. Let b be n(-9). Let t be -10*4*b\/32. Which is smaller: 15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) 6\/13  (b) -1\/39  (c) 12  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + -2 + (-6)\/(-3). Suppose m*z = 2*z + 4. Let o be 0 + -1 + (-8)\/(-10). What is the second biggest value in 3, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525546 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - 14*y**2 - 26*y - 14. Suppose 0 = j - 2*d + 22, 2*j + 26 = -2513*d + 2514*d. Give w(j).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**15))\/(p\/p**(-3\/4))*p\/p**(-2\/7)*p*p*p**1 assuming p is positive.\nAnswer: p**(491\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3 - -45)\/3)\/2. Let l(i) = 0*i - 1 + 3*i - i**3 - 9*i - m*i**2. Let t(b) = -b**2 - b. Let k(u) = u - 6. Let f be k(5). Determine f*l(c) + 6*t(c).\nAnswer: c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -204 + 212?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -17*i**4\/12 + 18*i**3 - 3*i**2 - 25. What is the derivative of m(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30795*r**3 - 33550*r**2 wrt r?\nAnswer: 184770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x + 4 - 4 - x**2 - 7*x. Let a be v(-12). Suppose a = 17*q - 21*q + 176. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 32.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 89813 and 5225.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4103, 4107, 4113, 4121, 4131, 4143?\n\"Answer: h**2 + h + 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -185*n**3 + 111*n - 111. Let r(h) = h**3 - h + 1. What is a(v) + 111*r(v)?\nAnswer: -74*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.8 - 0.2. Let u = 0.876 + 0.124. Which is the nearest to 0.2?  (a) u  (b) y  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 22 = -10*r, -3*r + 31 = v + 35 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 8594*k**2 - 84*k - 84. What are the prime factors of q(-1)?\nAnswer: 2, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q = -3*l + 6*q + 7, -3*q = 4*l - 13. Solve 9*n + 18 = -4*f + l*n, -f = 3*n + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 0.2  (b) -0.36  (c) 346\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -547.3028 and 11240.\nAnswer: 10692.6972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704032345.\nAnswer: 5, 140806469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85039, 85149, 85259?\nAnswer: 85369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5*d = -0*q - 8, -3*q + 4*d + 5 = 0. Suppose 6 + 3 = q*x. Find the first derivative of 4 + 7*h + 9*h**2 - 4*h - x*h wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 14*v**3 - 6*v - 10*v**2 + 2*v**2 - 8*v. Let b(g) be the first derivative of 9*g**4\/4 - 5*g**3\/3 - 9*g**2\/2 - 58. Determine -8*b(h) + 5*z(h).\nAnswer: -2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dzddadddddd?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 13, 19, 19, 13, 1, -17, -41?\n\"Answer: -3*k**2 + 15*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 629847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4.8, -4, -145?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l = 5*t + 2*l + 21, -3*l - 48 = 13*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-6.73.\nAnswer: 20.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 8. Solve -2*r = -5*l + l + 10, 0 = b*r - 3*l + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/5 and 49\/70*(-101)\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 9\/5*x**3 - 48\/5 - 114\/5*x - 57\/5*x**2 = 0.\nAnswer: -1, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*0.08169.\nAnswer: -0.57183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 22581 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: In base 11, what is 8 + -51?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 r, 1 p, and 1 x when four letters picked without replacement from jexnpnerj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 215 divide 2791971080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + -0.638.\nAnswer: -0.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*z - 4*b, -3*b = -2*z - 0*b + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77\/130 - -1\/130. Let x = 216 - 218. What is the nearest to 1 in i, 9\/8, x?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6*(-10)\/180)\/((-2)\/6). Suppose -4*p - 7 = -3*a, 4*a - 29 + 9 = 0. Let u be p*(-3)\/12*0. Sort s, 2, u in descending order.\nAnswer: 2, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -178*b**2 + 111*b**2 + 68*b**2. Let w(f) = 205*f**2 - f. Give j(w(o)).\nAnswer: 42025*o**4 - 410*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 4*x**2 + 3*x - 2. Determine f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2299, 3, -5, 1, 4 in decreasing order.\nAnswer: 2299, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/48*258*(-26)\/(-312)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53395 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v**3 - 4*v**2 + v + 2. Let s be z(-2). Let m = 0 + 1. Which is the second smallest value?  (a) s  (b) -8\/3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + 17*s**4\/24 - 7*s**3\/6 + s**2 - 113*s. Calculate h(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -38373361 to the nearest 100000.\nAnswer: -38400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 8*p + 6. Let v be t(5). Let b(s) = -s**3 - 8*s**2 + 7*s - 12. Calculate b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p - 1 - 2*p**2 - 6*p**2 - 5 + 0 + 11 - 2*p**3 as i*p**2 + j + r*p + h*p**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x - 6*x - 930 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (383 - 110 + 170)*(y + 1 - 1)*(-1 + 1 - 2).\nAnswer: -886*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1\/3, -4, 3, -85?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*c = -103*c + 9. Suppose 2*j = 3*m - m - 130, 0 = 5*m - c*j - 315. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**12*j\/(j\/(j*j\/(j**(1\/14)*j)*j))*(j*(j**(-2\/11)*j)\/j)**(5\/9))**(6\/5) assuming j is positive.\nAnswer: j**(1329\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*a + 25 = -4*a, -5*a - 10 = 3*y. Suppose 5 = -y*k, 2*g = 3*g + 3*k. Find the third derivative of -w**6 - 3 + g + w**2 wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1940 times -846\nAnswer: 1641240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22271?\nAnswer: 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 111382 (base 9) in base 10?\nAnswer: 66656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -34*v + 255. Let j be f(-35). Suppose 4*s = 5*s - 5*i - 467, 4*i + j = 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 3 = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 9 + 1. Suppose 2*i - q - 2 = 0, -i + 15 = 4*i - m*q. Suppose -2 = p - 2*p - j, 0 = -4*p + j - 17. Put i, p, 5 in descending order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -67, -264, -621, -1162, -1911, -2892, -4129?\n\"Answer: -4*z**3 - 56*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*x**2 + 178*x**2 + 2 - 41*x**2.\nAnswer: 19*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.342 times 8.1?\nAnswer: -2.7702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 18*c - 38. Let t be l(16). Let r be (t + 4)*2\/(-4). Let o be (-9 + r)\/(8 - 10). Solve m = -o - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 6*c**2 + 44*c - 87. Determine x(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 44940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c - s, 0 = c + 4*s + 11 - 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**4 + 412*f**3 - 10812*f**2 + 10404*f = 0. Calculate f.\nAnswer: 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 134 divided by 1459.\nAnswer: 134\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 4\/3*o**3 - 8*o**2 + 12*o - 29. Find w, given that r(w) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4\/(f*f**(-5)))**10*(f**(2\/3)\/f*f)**(3\/10)\/(f*f**(2\/3)*f*f)**40 assuming f is positive.\nAnswer: f**(-997\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.7 + -65.3. Let o = t + 77.926. What is o rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 638 - 638 - 2*d + 14*d**2 - 3*d**2 as g*d + p + a*d**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(7\/3))**(-2\/43)*b**20*b*(b\/(b*(b*(b**19\/b)\/b)\/b*b))\/b assuming b is positive.\nAnswer: b**(244\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**5 + 4*k**5 - 2*k**5 + (-14*k**4 + 13 - 13)*(17*k + 743 - 743).\nAnswer: -232*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*x - 71205, -56*x = -3*b - 58*x + 53444. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.01 - 97.99. Let x = -131 - h. Let d = x + 32. Sort d, -2, -1 in decreasing order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t. Let w(f) = -5*f - 8*f + f + 2*f. Calculate v(w(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 252\/(-6)*4\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 95280 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79 + -76. Suppose m*r - 11*r = -1576. Suppose 2*a + 5*k = r, -5*a - k = -3*a - 217. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 0)\/((-5)\/(-10)). Let w be -19 - 0\/((-4)\/t). Let x = -10 - w. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2*s - 1 + (-1 - 4 + 3)*(201*s - 1087 + 1087) - 20*s + 6*s + s)*(-4*s - 2*s + 5*s) in the form z*s**2 + n*s + l and give z.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113 (base 7) to base 15.\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*v = 6. Suppose -2*j - 4*q - 12 = 0, 2*j + v*q = q. Let u(p) = 339 - 339 - 2*p**j. Let h(a) = -11*a. What is h(u(y))?\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*l - 3*l. Let c = 10 - l. Suppose 4*w = -w - 4*x + 47, -1 = -w - c*x. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 3032205*f**3 + 3032203*f**3 + 31.\nAnswer: -2*f**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -4. Let y(g) be the first derivative of g**5\/120 - g**3\/3 - 3. Let z(p) be the third derivative of y(p). Give z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119822000897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/72 and -113\/314334.\nAnswer: 1257336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -328*k**3 - 10*k**2 + 483*k - 2. Let j(l) = -163*l**3 - 6*l**2 + 240*l - 1. Let b(a) = -5*j(a) + 3*v(a). Find the second derivative of b(s) wrt s.\nAnswer: -1014*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*r**2 - 15*r + 15*r)*(3*r**3 - 1 + 1).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*b**2*k**2 + 2*b**2*k + 5761*b*k**2 - 6*k**2 + 23269165*k wrt k.\nAnswer: 8*b**2 + 11522*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -54*b*c*z**2 + b*c - 661*b*z**2 - 2*b + c*z**2 + 3*c*z - 14881*c - 2*z**2 + 32 wrt b.\nAnswer: -54*c*z**2 + c - 661*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 59 + -533\/9. Let v(u) = u**2 - 9*u + 6. Let l be v(8). Let z = l - -7. Sort p, z, 0 in descending order.\nAnswer: z, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-18 - -17) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 205813*m - 3*g = 205819*m - 18, 3*g + 15 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/3 + 3\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-6))\/(2\/426). Let d = -69 + t. Differentiate 58 + 93 - 122 - 19*j**d with respect to j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18403, 73578, 165537, 294280, 459807, 662118?\n\"Answer: 18392*y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does -266\/367 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010001110 (base 2) in base 10?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3212 + -12775\/4. Find the common denominator of s and 11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3225916 take away -4?\nAnswer: -3225912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vyvyvvviyvviyvyyyvy. What is prob of sequence yv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r = -68*r - 5*g + 112 - 117, 3*r = 4*g + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3429759?\nAnswer: 3, 73, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-12)\/560*20\/15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -3.3. Let v = -0.33 + 0.03. Let c = v - g. Is -5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hqqh when four letters picked without replacement from hhhqhqqqqqhh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*o**3*x**6 + 122*o**3*x**2 - 2*o*x**6 - x**2 - 2 wrt x.\nAnswer: 1080*o**3*x**3 - 240*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40591439 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3892 times 7.497\nAnswer: -29178.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 18347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -34 + -102?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 14*t**2 + 2*t - 1. Let b be o(1). Let v be b*(-5)\/(0 - 1). Suppose -25 = 2*l - v. What is the highest common divisor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19123 is divided by 7479.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 37  (b) -2\/9  (c) 4654  (d) 3  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22.9 - 22. Let d = -17.4 - -351.4. Let r = 334.1 - d. Is r greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2849*i - 2865*i = -176 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -173577.41 - -173762.68517. Let s = n - 185.3. Round s to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 33?  (a) -2\/11  (b) -0.2  (c) -208  (d) 3  (e) -135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*c + 85743 = 1734. Calculate the remainder when c is divided by 85.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-256)\/(-160))\/(208\/20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*o = 16. Let q be ((-90)\/(-24) - 3)*o. Solve -17\/3*w**4 + 8\/3*w - 22\/3*w**2 - 1\/3 + 28\/3*w**q + 4\/3*w**5 = 0 for w.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3004 - -3001. Let u = 10 + 6. What is the closest to -1 in s, u, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42\/13, 0.1, 1\/11, 1.6 in ascending order.\nAnswer: 1\/11, 0.1, 1.6, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2920 + 2*d**2 + 2919 - 5843 - d + 5*d**3 + d**2. Let p(s) = 4*s**3 + 2*s**2 - s - 3. Give -2*h(w) + 3*p(w).\nAnswer: 2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 114  (b) 0.5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/1*(-51 - 6150\/(-120))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-270)\/180*(-4)\/3. Let l be 1 + 52\/22 + -3. Factor l - 6\/11*k + 2\/11*k**z.\nAnswer: 2*(k - 2)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 6:09 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 119804*q + q**2 - 119804*q. Let w(a) = -80*a - 2. Determine n(w(p)).\nAnswer: 6400*p**2 + 320*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s + s**3 + 6*s + 6 + 0*s - 2*s**3 - 6*s**2. Let o be a(-6). Factor o - 2\/7*y**2 - 2\/7*y**4 + 0*y - 4\/7*y**3.\nAnswer: -2*y**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 6*v**2 + 5*v. Let u be x(5). Solve -4*b + 2*g + 20 = u, -2*b - 5*g = -g + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**3 + 4*t**2 + 3*t - 6. Let p(y) = y**3 + 15*y**2 + 51*y + 12. Let s be p(-10). Let o be n(s). Solve r = o, 0*j + j = -r + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - -9. Let q = -49 + j. Let d = q - -67. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 297.8 + -298. What is the closest to -0.09 in 3, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7029471.\nAnswer: 3, 2343157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2657, 7189, 11715, 16235, 20749, 25257, 29759?\nAnswer: 34255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2\/15*75030\/732.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 98 = 3*o. Calculate the remainder when 63 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2*m - 344 = -4*y, -2*y - 4*m = -172. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 24252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.05 - -0.05. Which is the closest to -3?  (a) -5  (b) l  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.265184 millennia?\nAnswer: 265.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-9732)\/(-72) + (-3)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79738 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1715*f**5 + 152899355*f**4 + 131057430*f**3 + 37445060*f**2 + 3566200*f.\nAnswer: -5*f*(f - 89155)*(7*f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 279\nAnswer: 4\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4621 - 4526. Calculate the remainder when 3131 is divided by p.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l = -260 + 440. Solve 0 = 3*f - 5*z + 28, 4*z = f + l + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -9 + 4. Suppose 5*v = 2*i - 5, 0 = n*i - 2*v + 4 - 6. Find the second derivative of 5*x - 3*x + 8*x**2 - 14*x**2 + i*x**2 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.694 - -339.694. Let b = 339.2 - j. What is the fourth biggest value in -1, b, 4\/7, 2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 53240 + 534?\nAnswer: 53774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50042, -50037, -50032, -50027, -50022?\nAnswer: -50017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of 0*a**3 + 0 + 0*a - 1\/12*a**4 - 2*a**2. Let h(f) = -2*f - 9. Let c(b) = b + 4. Let l(j) = 9*c(j) + 4*h(j). Give g(l(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from tdttdtddwdtwdddttdw?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7974755, 31899030, 71772821, 127596128, 199368951, 287091290?\nAnswer: 390763145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 442243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -354*j + 343*j - 19 = -3*g, 2*j - 5*g = 50. Let t(f) = f**2 - 3*f + 2*f - 8 + 1. Determine t(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 6:49 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u + 72. Let q(x) = 6*x - 73. Let g(k) = 4*q(k) + 3*v(k). Suppose -4 = -3*w + 20. Calculate the smallest common multiple of g(8) and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 8*i**2 - 8*i - 7. Let u be s(9). Solve -5*r - 13 = -4*z, -3*r - u*z + z = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-10)\/6)\/((-440)\/(-1540)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72 - -188) + -23)*2\/(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-272)*-4)\/((-48)\/352*11)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (172\/14)\/(112\/5096) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/117 or -14.11995?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)\/sqrt(108))\/(sqrt(66)\/sqrt(99)) + (-2*sqrt(140))\/(-3*sqrt(20)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*i - 2. Suppose 3*d + 63 = -57. Let g be d\/(-6) + (-1)\/(-3). Solve 0*n - p - g = 2*n, 0 = 3*p + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - o - 55 = 0, -3624822*n + 3624817*n = -20*o + 115 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-20))\/(8\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - (2181\/(-9) + 2\/(-3)). Suppose -3*x + w = 10*x. Suppose o - 49 = x. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.6 - 5. Let r = 6.7 + -6.3. Which is the third biggest value?  (a) r  (b) l  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**7\/(g\/g**1)*g*g**(-1\/22)*g**(12\/5)*g)**(-43) assuming g is positive.\nAnswer: g**(-53707\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeemmmeeemeeeem. What is prob of sequence mee?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 897 + 53. Let t = 576 + b. Suppose 24 = -2*j + t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -10\/9*a**5 - 4\/9*a - 2\/3*a**4 + 14\/9*a**3 + 0 + 2\/3*a**2 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3040 and 6608\/60 + (4755\/(-225) - -21).\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 1157104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.31, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 5735468.99.\nAnswer: 5735469.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 21915450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 514642.5 millennia to centuries.\nAnswer: 5146425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28496218903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of 97*a**7\/7 + 5*a**3 - 62. What is the third derivative of d(x) wrt x?\nAnswer: 11640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 - 15456?\nAnswer: -15436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 8*b + 7. List the prime factors of t(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 4:54 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*b**2*d**3 + 2*b**2*d + 269*b**2 - b*d**3 + 2*b + 6340*d**2 wrt b.\nAnswer: -48*d**3 + 4*d + 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194*p = 167*p - 5776 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l**2 - 2*l**2 + 4*l**2)*(23*l**2 - 141*l + 141*l) to q*l**2 + y*l**4 + z + f*l**3 + b*l and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -543\/10 + 53. Let l(r) = 281*r**3 - r**2 + r - 1. Let d be l(1). Find the common denominator of w and 6910\/d + 3\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -78\/7, -3, 1, -2 in increasing order.\nAnswer: -78\/7, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -927, -801, -581, -261, 165, 703, 1359?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 5  (b) -5  (c) -2582925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14\/35 - 1443953\/(-5). Suppose -5*s = -q - 72185, 4*q + 0*s - 3*s + j = 0. Round q to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**19)**(-11\/2)*(q\/(q*q*q*q**(2\/3)\/q*q))\/(q\/q**(-5\/7)))**(-2\/7) assuming q is positive.\nAnswer: q**(4573\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.08781173 + 0.05118902. Let d = g + 5.03662031. Let k = 5 - d. Round k to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -346 - -376. Calculate the remainder when 182 is divided by 451\/5 + ((-66)\/f)\/11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -912*i**2 - 9643*i**2 - 2612*i**2.\nAnswer: -13167*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 55970 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(4\/9)\/(f\/(f*f**(-3\/8))) assuming f is positive.\nAnswer: f**(5\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 137425293 divided by -9\nAnswer: -15269477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d**2 + 2*d - 22. What is the remainder when 344 is divided by f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1150566, 1150581, 1150604, 1150635, 1150674, 1150721, 1150776?\n\"Answer: 4*b**2 + 3*b + 1150559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-272)\/112*7 - -69. What is the greatest common divisor of 20800 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(3) + -3) - sqrt(3))**2*-6 + (-4*(3 + sqrt(9)\/sqrt(3)))**2.\nAnswer: -834 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t**3 + 50*t**2 + 46*t - 222. Calculate j(16).\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3*t - 1 = -3, -4*t - 8 = 0. Let r = -736\/3199 + -22040\/69921. Let k = r + 12\/119. Is k bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2 + 5*h - 4 - 6 + 26 - 5. Give c(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 - (-7 + 1 + 15)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 189*i**2 - 5*i + 1 wrt i.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (204\/(-42) + 5)*(-2)\/(-7). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4551 is divided by 229?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1000 divided by -10\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 201*t**3 - 2*t**2 - 3. Let j be d(2). Let u = j - 1068. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from ddbodboad.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s**3 + 3*s**2 + 7*s - 1. Let g(i) = -i**3 - i + 1. Let m(j) = -3*g(j) - w(j). Let n be ((-54)\/(-8))\/9 - 405\/(-4). Let a = -105 + n. What is m(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 14*c**2 + 482*c - 54. Give d(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*k**3 + 2*k**2 + 97*k + 7 wrt k?\nAnswer: -234*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p + 7. Let f be y(6). Suppose 0 = -m + f, -39 = -4*u + 3*m + 22. Let a(w) = 13*w + 9. What is the remainder when a(4) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 311120532 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 30*w**2 + 65*w - 34. Give i(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1532218 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2401 - 2182. Which is greater: 0.029 or h?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -203?  (a) -2\/3  (b) -3\/4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3414092 and 5456.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -1\/6*b**3 - b**2 + 0 + 0*b - 1\/24*b**4. Give h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 40*(-2)\/(-4)*1. Let x be (6\/(-21) + 11\/14)*2. Find the common denominator of 15 - x - (-5)\/l and 89\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -100 + 391. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + 3*x**2 + 348. Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13652, 40, -3, -2 in increasing order.\nAnswer: -3, -2, 40, 13652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 885845.\nAnswer: 5, 23, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v = -7*v - 12. Solve v = 3*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41515271 and 742?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/4)\/(15\/(-30)). Solve 5 = -i*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-84)\/6)\/7*(-90)\/(-780)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((55\/(-60))\/(-11))\/(13\/((-5148)\/9)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 4*g + 9. Let l be a(-4). Let q(p) = -p + 21. What are the prime factors of q(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 4*p + 1. Suppose 2*s = -3*t - 39 + 12, 5*t + 13 = 2*s. What is v(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -279*f**3*r**3 - 222*f**3*r + 2*r**2 wrt r.\nAnswer: -1674*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 60*a**2 - 1034*a - 9210. What is the hundreds digit of z(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.294, -1, 1, -0.5, -1\/5, 109 in decreasing order.\nAnswer: 109, 1, 0.294, -1\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2 + 7*b - 8. Let q(x) = x**2 + 4*x - 4. Let j(t) = -4*g(t) + 7*q(t). Differentiate j(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*17*(-725)\/2465. Solve -l*w + 0*w + 4*v = 0, 0 = 2*w + 2*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48 by -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/14 + 76*(-2)\/(-56). Suppose -u - b*n + 17 = 0, -2*u + u + 2*n + 7 = 0. Calculate the greatest common factor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 275*y + 1188. Let k be d(0). Solve 0 = -1178*j + k*j - 90 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - -16. Calculate the least common multiple of 24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19.2 - -19.25. Let k = -8.2 - -8. Which is the nearest to v?  (a) -3  (b) 2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 13 - 5. Suppose -3 + 15 = 3*w. Suppose w*s - 4*o = -o - 15, 25 = -s + 5*o. Solve 5*j - f*g + 2*g - 1 = s, -j = -2*g + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 147\/4 + -603\/16. Let m = i - -137\/112. Let s = -2 + 6. Which is the nearest to m?  (a) 0.1  (b) s  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*k**2 + 130*k**2 + 21277 - 67*k**2.\nAnswer: -2*k**2 + 21277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2553834 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 10:10 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/189)\/((-120)\/(-224))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(2\/5)\/b)\/b)\/b*b*b*(b*b**10*b*b)\/b)**32 assuming b is positive.\nAnswer: b**(1824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 102*a**4 - 201*a**2 - 3393*a. Let n(r) = -10*r**4 + 20*r**2 + 339*r. Let d(g) = -2*f(g) - 21*n(g). Find the second derivative of d(x) wrt x.\nAnswer: 72*x**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1268 is divided by 412.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14692 + 7288 + 7404 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/83, 14, 0.3, 2.7 in ascending order.\nAnswer: -1\/83, 0.3, 2.7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -3, -0.35, 2\/5 in descending order.\nAnswer: 1\/2, 2\/5, -0.35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6174 = -91*n + 4263 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 163293 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u + 2. Let w(a) = -2*a**3 + a**2 - a. Let t be w(1). List the prime factors of v(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) -1  (c) -3\/2  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 17 - 1 = 0. Suppose -6*l + 3*l + 28 = -4*x, -3*x - m = -2*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -67. Suppose -a = -3*c + 12. What is the highest common factor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16217585?\nAnswer: 5, 47, 69011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2*(-1 - -63)\/2 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2454*y + 127492. Calculate x(-52).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-557)\/(4\/(-1 - 3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -79966*l**3 - 7*l**2 - 346.\nAnswer: -479796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23248564.\nAnswer: 2, 61, 151, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -23 + 1 + 0 + -7 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 46, -249, -842, -1733?\n\"Answer: -149*p**2 + 152*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168, 234, 396, 696, 1176, 1878?\nAnswer: 2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d - 25. Let a be q(-7). Let y = 452\/2061 + 2\/687. Solve 8\/9*r**a + 4\/3*r + y + 2*r**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105204015 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 9:11 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 6:53 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1188\/(-56) + (-273)\/(-1274).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 26 - 95. Suppose u - 4 = p. Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 65*o - 554. Calculate b(55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6495*p = -6494*p - 3*w + 11, -2*p - 3*w + 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, z: 3, k: 3, t: 6, n: 1}. What is prob of picking 1 x and 1 z?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8)*(-14)\/441*21*184\/(-6).\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 0*v + 4\/7*v**3 + 8\/7*v**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1102120102 (base 3) to base 15\nAnswer: -84e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0*s**2 + 33 - 4*s**4 + s**2 - 40 wrt s.\nAnswer: -16*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(2*-22)*-4. What is the biggest value in a, -0.1, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 22, 69, 138, 229, 342?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17\/14 or 157571?\nAnswer: 157571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -5. Solve -4*d + 2 = 2*w, 3*d = -l*w - 2*d + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 9*u**2 + 9. Suppose 52 + 20 = 4*w. Let z = 9 - w. What is the units digit of o(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85 + -60. Let g = -9 + l. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**2 - 2*y**2 + y**2 + (4*y - y**2 - 4*y)*(-3 - 3 + 5) - 19*y**2 - 31*y**2 + 5*y**2.\nAnswer: -43*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 586?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 623429063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*l - 175*l + 352*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -2)*((-50)\/(-20) + -4). Let m(b) = b**3 - 10746 + 5376 - x*b - b**2 + 5365. Let f(c) = 2*c**3 - c**2 - 5*c - 9. Calculate 3*f(h) - 5*m(h).\nAnswer: h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79416679.\nAnswer: 79416679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143045147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 2*k + 3. Let b be y(-3). Suppose 18 = 4*w - 2*j, -23*j + 24*j = -5*w + 26. Sort w, -4, -2, b in descending order.\nAnswer: w, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 13) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*b**3*y + 3*b**3 - 136*b**2*y + 4*y + 2660 with respect to b.\nAnswer: -102*b**2*y + 9*b**2 - 272*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3544 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*46\/2*91\/546*69\/(-23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21708*d**3*u**2 + 2*d**3 + 2*d**2*u - 8*d**2 - 446*d*u**2 - 5*d + 180*u + 1 wrt u.\nAnswer: -43416*d**3 - 892*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - -2 - ((-95)\/(-24))\/1. Let j(y) be the third derivative of w*y**4 - 2\/3*y**3 - y**2 + 0 + 0*y. What is j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-576)\/(-144) - (2 + 36\/19)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1099329 and 1122?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5)\/(-2)*(-2)\/10*-12. Let n be 274 - (-3)\/t*4. Let a(v) = 276 - 2*v - n. Determine a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21346 - -21350. Let w(q) = 3*q + 3. What is the remainder when w(6) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2811411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36934\/27435 - (-58)\/(-4495)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3015644 divided by -3.\nAnswer: 3015644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1918?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -11908, -11918, -11938, -11974, -12032, -12118, -12238, -12398?\n\"Answer: -w**3 + w**2 - 6*w - 11902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.6114 plus -67379425?\nAnswer: -67379445.6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12\/6581687 or 1?\nAnswer: 12\/6581687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a**3 - 51*a**2 + a + 65. Is f(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.02, -2, 5, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 251\/11  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 - 13*x - 35. Let u be n(15). Let h(a) = -a**3 + 13*a - 4. List the prime factors of h(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018622923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19552?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2735754 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 13*l**3 + l**2 + l + 1. Suppose -5*c + 6*d = 2*d - 28, 2*c - 2*d - 12 = 0. Suppose 3*n + 19 = -4*w, -3*n - c*w = -5*w - 1. What is t(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-3 + sqrt(14)\/sqrt(7) - sqrt(2)) + (sqrt(120)\/sqrt(5))\/sqrt(12) - ((sqrt(600)*-2)\/sqrt(3) + 2)).\nAnswer: -84*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (76\/10)\/((-58)\/(-40) + 1359\/(-604)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -391 + 2260*x - 319 + 710 to the form j*x + v and give j.\nAnswer: 2260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 145 = 2*m. Suppose -m = -x - 6*y + 3*y, -2*x - y = -136. Let t = -4 + x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-30)*36 + -4 + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 84*b**2 + 32*b - 32. Let l(y) = 13*y**2 + 5*y - 5. Let o be -2 - -4 - (-3 - 0). Let u(z) = o*j(z) - 32*l(z). Let v(t) = -2*t**2. Determine v(u(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m**2. Let g(f) = 55*f + 20. Let r(h) = 8*h + 3. Let o(z) = -3*g(z) + 20*r(z). What is o(n(x))?\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -17 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18\/21*(-109)\/(-218)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 37*o + 1. Let c be d(-2). Let x = c - -157. Let w = x + -27. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -275 - -276. Let u be ((-2)\/(-15))\/((-9)\/(-15)). Which is the nearest to k?  (a) -3  (b) u  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 7*x + 2. Let k be l(7). Suppose -k*z + 1 = w, 4*z + 2 = 3*w - 1. Solve 3 = 5*f - 3*a - w, -3*a + 16 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*f - 4*f. Let y = f + 24. Suppose -77 = -4*j + 3*u, u - 1 = -j + 13. Calculate the highest common divisor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 874535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -674ae (base 15) to base 5.\nAnswer: -41002224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000097724 to 6 decimal places.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -1. Let z(s) = -11*s + 1. Let k(n) = 4*n. Let r(a) = -8*k(a) - 3*z(a). Let i(c) = -7*p(c) + 2*r(c). List the prime factors of i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -815 = -2*m + 8385. Suppose 0 = 5*k - 0*k + m. Let w = k + 2179. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*y + 8 + 102 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336 = 3*c + 44*c - 26*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 4*i**5\/5 - 836*i**4\/5 + 49372*i**3\/5 - 706748*i**2\/5 - 8242976*i\/5 - 18286016\/5 = 0.\nAnswer: -4, 49, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 127*g + 209. Let z(o) = -128*o - 156. Let f(i) = 3*q(i) + 4*z(i). Let u(k) = -5*k**2. Calculate f(u(a)).\nAnswer: 655*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 9*d**2 - 15*d - 11. Let y be s(-10). Does 26 divide 143\/y*(1 + -7)*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*d**2*s - 510*d**2 - 512666*d*s + s**2 + 6030 with respect to s.\nAnswer: 15*d**2 - 512666*d + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5\/4  (b) 0.4  (c) 4\/5  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4.1, 1\/7, 1, -0.1 in descending order.\nAnswer: 4.1, 1, 1\/7, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1639 + 2782. What is the highest common divisor of 127 and b?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = g - 2*n, g + g = n + 1. Let b be 1 + 10\/(-12) + g. What is the smallest value in b, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 15. Suppose n = 5*m + 50. Let d(j) = -67*j**2 + 3 + 66*j**2 - 7*j - 6. Give d(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 - (528\/66 - (-1 + 26))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -1122?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = r + 13, 7*b + 19 = -r + 2*b. Let s(z) = -5678*z**2 + 11*z + 17. Let p be s(r). What is p rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0707 - 0.07. Round h to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 43?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -0.1  (b) -17.7425  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1026665 + 5?\nAnswer: -1026660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/22 + (-23)\/((-27324)\/168).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j + 38017*j**2 - 38014*j**2 - 9 + 55.\nAnswer: 3*j**2 - 4*j + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 64 = -5*t. Let b = -3 - t. Let f(h) = h**3 - 7*h**2 + 4*h + 20. What is the remainder when b is divided by f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72\/443 + 62419\/10632. Let v = 2\/389 - 11361\/15560. Calculate the common denominator of y and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 856471210 to the nearest 100000.\nAnswer: 856500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -i**6\/600 - i**5\/50 - i**4\/10 - 7*i**3\/6 - 3*i**2. Let c(z) be the first derivative of n(z). Suppose c(x) = 0. Calculate x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -91003\/2226 < -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -1. Let k = h + 1.1. Which is the closest to 0?  (a) 0.5  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 106 = 90. Suppose -11*a = -7*a - b. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210578 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 12, 5*w + 9 + 0 = 3*q. What is the lowest common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 783 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 106154 and 1?\nAnswer: 106154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 + 660115544?\nAnswer: 660115560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n**2 - 4*n. Calculate the remainder when 109 is divided by y(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.054 plus -3?\nAnswer: 16.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -153*p**3*w**3 - 64*p**3*w**2 - p*w**4 + 53*w**3 - 560*w**2 wrt w?\nAnswer: -918*p**3 - 24*p*w + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 1005410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 0. Suppose -u + 2*n + h*n + 24 = 0, 3*n + 36 = 3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10470?  (a) -29  (b) 15  (c) 7  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*4\/100)\/(4560\/(-600))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 - 42. Let g = a - -13.77. Let i = 0.03 + g. Sort i, 0.2, -2 in ascending order.\nAnswer: -2, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 953 - -12?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16 + -2)*2\/4 + 6. Let n(b) = b + 9. Let z(l) = -2. Let c(v) = -n(v) + 4*z(v). What is c(x)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -j**4\/12 - j**2. Let z(t) be the third derivative of t**5\/30 + t**4\/3 + 2*t**2 + 169*t + 3. Determine g(z(q)).\nAnswer: -4*q**2 - 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 63837839041 + -3?\nAnswer: 63837839038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v - 16. Let u(p) = 13*p - 64. Let x(s) = 2*u(s) - 9*w(s). Calculate x(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4501 - 4?\nAnswer: -4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99 and 3168.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 42.3 and 0.82.\nAnswer: 43.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -2*g**2 - 376*g - 11622 = 0.\nAnswer: -149, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41401113 + 41401108.2999942. Let d = l - -4.7. Round d to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 94\/34*8\/120 - 80\/680\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/5)*m)\/m**(-6))\/((m\/m**(2\/11)*m*m)\/m*m\/(m**(2\/25)\/m)) assuming m is positive.\nAnswer: m**(787\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**2. Let c = -2 - -4. Let v = 8 + -5. Let t(k) = -v*k**c + 3*k**2 + k**2. Calculate o(t(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -233 or -110?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + r - 4. What is the smallest common multiple of 18 and t(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 - 13. Let n = w - 2. Find the second derivative of c**3 + 0*c + 0*c**n + 3*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 + 9*w - 438. Calculate p(-33).\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-9 - 3 - -19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 602935 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26 - -307426?\nAnswer: 307400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1983 and 2644?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 12 = -365*p + 360*p, -k - p - 20 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = c - 5*c. Suppose -3*h + 10 = h + 2*z, h = 5*z + c. Suppose -3*b = -b - h*u + 16, -4*b - 3*u = -23. Solve -2*w + 4*s = 10, b*s - 5 - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 6*d**4 - 1367*d**3 - 2982*d**2 - 1839*d - 230 = 0.\nAnswer: -1, -1\/6, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1858394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -11*d - 2*d**2 + 5*d + 6 + d**2 + 0*d**2. Let q be v(-7). Let a be (-2)\/(q*4\/8). Solve 5 = a*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4*z + 9. Let d be 8\/16 - (-14)\/(-4). Let r(v) = -3*v - 8. Let l(c) = d*r(c) - 2*j(c). What is the first derivative of l(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 78875 from 0.4.\nAnswer: -78874.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32477.\nAnswer: 47, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -695 + 759. Calculate the least common multiple of q and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176374211 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3*i**4 - 7539*i**3 - 83172*i**2 - 302736*i - 363456 = 0.\nAnswer: -4, -3, 2524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 + -27. Calculate the least common multiple of v and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (995 - 1281 + 3734)*(17*t**4 - t**4 - 6*t**4) as j*t + k*t**4 + w*t**2 + d + f*t**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2.7, 4\/9, 0, -319?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-4) + 4\/(-8). Which is the third smallest value?  (a) 0.4  (b) -3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -42, 14\/9, 198.1, 1, 2\/13?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -9118  (c) 2\/3  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1aa0 - -8?\nAnswer: -1a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*q - 8. Let d(f) = -34*f. Let k be d(-5). Suppose -5*n = -a - k, 0 = -5*n + a - q*a + 170. What is the highest common divisor of 51 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2409899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) 0.5  (c) -0.5  (d) 23\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 1976718.\nAnswer: -1976713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 678162064.\nAnswer: 2, 42385129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -341*g = -330*g - 11. Sort 5, g, -3, 4.\nAnswer: -3, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + i - 12. Let f = 10 + i. Solve -j - 2 = 3*b, b = -f*b - 4*j - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 51 - -87. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 988 is divided by 91.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -12056210 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4\/11 - -23\/33. Suppose 794 = 3*v + 92. Let w = -2108\/9 + v. What is the closest to i in -2\/13, 5, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - 78. Let a = -48 - l. What is the first derivative of -11*q**2 + 15*q**a - 3 + 26*q**2 wrt q?\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -523 and -523 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3789797 divided by -4?\nAnswer: -3789797\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**4 - 141*g**3 + 1965*g**2 - 7119*g + 5292 = 0. What is g?\nAnswer: 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r. Suppose 3*i - 2*i + 2 = 0. Let t(g) = -9*g + 4. Let y(v) = -441*v + 198. Let n(u) = i*y(u) + 99*t(u). Calculate f(n(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4508424 is divided by 121849?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 227293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 5285.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((3 + sqrt(2))*4 + sqrt(2)))**2.\nAnswer: 4320*sqrt(2) + 6984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26432 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2655 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -182 times -4?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14636626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-7))\/(31\/((-279)\/(-27)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -14 - 16. Suppose 0*u = 5*u + s*d - 35, 5*d - 32 = -4*u. Solve 0 = -9*c + 4*c - u*p + 4, 0 = 4*p - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 67*y - 13. Let k be n(7). What is the greatest common factor of 57 and k?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-10))\/((-4)\/10). Let b = 1 - -14. Suppose i*d - d - b = 0. Calculate the smallest common multiple of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 166423055 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 286594, 573192, 859788, 1146382, 1432974, 1719564, 2006152?\n\"Answer: -u**2 + 286601*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 1213 + 2182. Is 56 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 6:12 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + (-96)\/(-28))\/(-6). What is the second biggest value in p, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -4\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 2. Let r be -2 + (6 - (-32)\/(-7)). What is the biggest value in 4, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**3 + 31*b**2 - 53*b - 17. Let g be t(-17). Solve -2*z + 10 = -r, 2*r + 0*z - 3*z = -g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 3. Let g be s(6). Let d(q) = -3*q + 4*q - 9 - 2*q. Let t be d(0). Do g and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c + 21?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + t + 0*t + 2*t + 5*t - 5*t + (-3*t + t + 0*t)*(-2 - 1 + 2) - 2*t + 2*t - t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/(-6)*21\/(-2) and 20\/5 + (-362)\/44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (-113574)\/7245 - 12\/(-45)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3 + 36*j**2 + 1488*j + 2800.\nAnswer: -4*(j - 25)*(j + 2)*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -612830555.9+-0.3\nAnswer: -612830556.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + ((-12)\/4 - -6). Suppose -k*c + 72 = -203. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = 3*s + 4*r, -2*s = 1059*r - 1062*r - 109 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 15125287 (base 9) to base 2\nAnswer: 11100101011000001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 6 = -a + 4*b, -4*a + 2*b = -24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 56436955 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2 + t**3 - 3*t + t**2 - t**2 - 6. Let f be x(-4). Let p = f + 55. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 492544 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 1. Is x greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69 + -0.13.\nAnswer: -69.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = j + d, d - 2 = -2*j - 0*j. Find the first derivative of 12 - 2*s**3 - 14*s**3 + 10*s**j wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31279094 or -31279093?\nAnswer: -31279093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 9:36 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 3991 = -909. Let i = 518 - n. Suppose -4*z + 29 = 4*q - 71, -3*z = -5*q - 91. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(99) - 4*sqrt(99)*-1)\/sqrt(9) - ((sqrt(704)*1*-4)**2 - sqrt(704))*-1.\nAnswer: -3*sqrt(11) + 11269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5*g + g**2 - 2*g - 2*g - 2*g + 2. Let v = -5 + 7. Let z be r(v). Solve z*y = w - 6*w - 14, 0 = -w + 5*y + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 = i - 2*y, 3*y = 16 - 1. Let q(b) = -14*b - 198. Let l be q(-15). Calculate the greatest common factor of l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/sqrt(44))**2 + (sqrt(9) - 2*sqrt(9))\/sqrt(3) - sqrt(12)\/sqrt(4)*4*-2.\nAnswer: 3\/4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56671415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34300 and 5880?\nAnswer: 205800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -9*o. Suppose o*d = -d + 27. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2278 = 2*t, 2*t + 3043 = 4*y - t. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12235*q + 13*m = 12240*q + 70, -3*m + 16 = -q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 787, 1624, 2533, 3538, 4663?\n\"Answer: 4*d**3 + 12*d**2 + 773*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/3584 and 91\/256.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/1457775 and -109\/2850?\nAnswer: 2915550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.03099 and 815441008.\nAnswer: 815441007.96901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 16.32975km?\nAnswer: 16329750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -7*q**3 - 5*q**2 - q + 1. Let r(g) = -5*g**3 - 5*g**2 - 1. Let k(y) = 4*r(y) - 3*x(y). Let z be 2\/(-1 + 1 + -2). Let v = 6 + z. Give k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/5)\/((-28)\/(-60))*(-168)\/(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 946, 933, 908, 865, 798?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*b = -6*d + 8, 0 = -2*d - 4*b + 4. Suppose 0*g = g - d. Solve -3*f + 4*a + a - g = 0, 5*a = -10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 - 286*c + 37.\nAnswer: -286*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -214*p**2 - 20686*p + 20686*p - 3*p + 3*p + p**2 + (0 + 0 + 1)*(5*p**2 - 2*p**2 - p**2) - 3*p**2 - 2*p**2 + 6*p**2 - 2*p**2 + 4*p**2 - 4*p**2.\nAnswer: -212*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-11)*j**16*(j**4)**(-31) assuming j is positive.\nAnswer: j**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14366 bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mcmc when four letters picked without replacement from {m: 2, c: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 3498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127805.7km to millimeters.\nAnswer: 127805700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -551752 - -118?\nAnswer: -551634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -1. Let a = 1217.8 + -1218. What is the nearest to q in 0.2, a, 1.8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p + 1. Let r be c(1). Suppose r*u - 2*u = 5380. Let g be 1\/6 + u\/60. What is the greatest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 650570 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (-25392)\/(-1728) + (-3)\/(-4)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 5*k - 3, -3*g + 4 = -5*k. Suppose 2*u = g*m + 6*u - 365, 2*u = 4. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 196 - 192. Calculate the greatest common divisor of 324 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 150*n**5 + 660*n**4 + 1227*n**3\/2 - 225*n**2\/2 - 351*n\/2 + 81\/2 = 0.\nAnswer: -3, -1, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 700 - 13. Let h = 1866 - z. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1\/2*u**2 + 2271\/2*u = 0. Calculate u.\nAnswer: 0, 2271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3470173265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (156 + 9*x**2 + 17*x**2 - 27*x**2)*(2*x**2 - 2*x**2 + x**2).\nAnswer: -x**4 + 156*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 705 (base 15) to base 9.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02313668 rounded to five decimal places?\nAnswer: -0.02314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.52 - -1.52. Which is the nearest to -0.2?  (a) p  (b) 4\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 3 = 9*c - 6*c, -5*c = 2*z - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/1067496 and -103\/2508?\nAnswer: 11742456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 844 - 844 - 988008*q.\nAnswer: -988008*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1114, -2173, -3232, -4291, -5350, -6409?\n\"Answer: -1059*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21102302 (base 4) in base 12?\nAnswer: 1a042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 8*t - 228. Let l = t - 57. Let o be l*5\/25 - -76. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -742*m - 2*u + 22 = -734*m, -u - 3 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*l**2 + 2 + 13 - 11 - 4*l**2 - l**2 - 2*l**3 as d*l**2 + x*l + n*l**3 + u and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (-9)\/((-144)\/(-320)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/(-1*sqrt(8)))\/(sqrt(36)*2).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12332 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -6*(-5)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Find q, given that 2*q + 1 + 2*q**k - 1 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2838 - -2841. Sort -4, u, -165 in decreasing order.\nAnswer: u, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 4659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of c**5\/20 + c**4\/6 - 5*c**3\/6 - 2*c**2 + 2*c. Let n be 4\/18 + (-232)\/72. Give a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00043691609 rounded to seven decimal places?\nAnswer: -0.0004369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/4 - (-2)\/(-8). Is q*((-1 - 0) + 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9139 is divided by 3044.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - s - 1)*(-25*s + 25*s - 11*s**3)*(0*s + 3*s - 2*s).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, -2, 18, -5 in increasing order.\nAnswer: -5, -2, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/4 and -3\/349353767?\nAnswer: 1397415068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 76*z**5 - 631686*z**4 - 5675*z + 8824?\nAnswer: 1520*z**3 - 7580232*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + -1 + 0 + 1. Let i = 13 - 12. Let v be (-3 + 0)\/(-1) + (-3)\/i. Solve v = -c + t + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - 12*x - 8. Let p be 2\/(-8) - (-258)\/(-24). What is the units digit of m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4622121 or -74?\nAnswer: -4622121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-168))\/((-1)\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-6))\/s*(s*s**(2\/17)*s)\/s)**(-34) assuming s is positive.\nAnswer: s**166","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10060 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k - 2 - 18*k**3 - 16*k**3 + 4661*k**2 - 4651*k**2 + 6*k**3 to the form o*k + b*k**3 + c*k**2 + q and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + 16*y - 12. Let u be -1*(-40)\/(-4)*(-6)\/4. Suppose 33 - u = 2*a. Does 17 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j*j**(1\/29))\/j*j*j*j)\/(j\/j**(8\/5)))**(-40)*((j\/j**(-3\/7))\/((j\/j**(2\/5))\/j*j))\/(j**(-1\/6)\/j)**(-2\/27) assuming j is positive.\nAnswer: j**(-15179944\/82215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) -41  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 205442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 - 3*a**3 + 3 - 3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1595.3549 + 1595. Let a = k + 0.2512. What is a rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h - 56. Let q = 94 + -106. Let a be b(q). Let s(f) be the third derivative of f**6\/120 - f**5\/12 - f**4\/24 + 2*f**3\/3 - f**2. Determine s(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-76)\/19 - 3) + 8. Is 211\/91 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26385 + 18425. What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4223, -1, -3, -2 in decreasing order.\nAnswer: 3, -1, -2, -3, -4223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = t - o, -70*t + 68*t = -o - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 2*m - 5. Let h(g) = 26*g**2 - 2*g + 1. Is h(m) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10699023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 50 = 5*w, -2*u - 759*w - 15 = -760*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 434478 divided by -217239\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4224 - 13414104?\nAnswer: -13404330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-21))\/(2172\/(-46879)).\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 11*t**2 - 18*t + 9. What is g(10)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a + 10. Let n be g(5). Let x(q) = 5*q**3 - q**2 + 4. Let r(w) = -9*w**3 + 61 + w**2 - 66 + 3*w**3. Give n*x(t) + 4*r(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/3)\/(2\/6). Put c, -6, 2 in decreasing order.\nAnswer: 2, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*c - 141, -2*c + 4*u + 0*u = -108. What is the second derivative of -a**3 - 193*a**4 - 42 - 254*a - c + 90 wrt a?\nAnswer: -2316*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/451542 and 49\/9097.\nAnswer: 4966962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -13*o + 881. Let x(d) = -6*d + 428. Give -9*x(c) + 4*y(c).\nAnswer: 2*c - 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 8*n - 10. Let b be p(9). Let y be b - 0 - (-4 + 0). Let d = y - -1. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (21\/6)\/(-7) + 0. Let v = 3.8 + 0.2. Let t = 5 + -4.8. What is the closest to 0.2 in t, n, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -126957396 and -126957399 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 35 = -d. Let t = -19371 + 19368. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/48 + (-4)\/(-8)*1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*a + 21650 = -13750. What are the prime factors of a?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3, 4\/35, -250, 44\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*a + 0*a + 10189 = 0, a = x - 2036. Let q = x - 57083\/28. Find the common denominator of 73\/28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -6\/13, -1344 in increasing order.\nAnswer: -1344, -6\/13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (19 - (-112805)\/(-5940))*27\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -9*t + 18. Let c be d(2). Let b be (1*4)\/(-3*2\/18). Let o = b - -14. Solve -5*f + o + 8 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 11 - 49. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**3\/6 + 2*h**2 - h. Let f be g(9). Let m = f + 11. What is the lowest common multiple of 8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14\/421 - 7367\/6315. What is the common denominator of -91\/15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i - 3. Let w = 22 + -15. Let s be a(w). Suppose -3*r - s*c - 2 = -5*r, -4*c + 4 = 0. Solve -r*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**11\/((p\/(p\/(p*p**(-4))*p*p))\/p))**(2\/3) assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-11)*g**12*g**(-2)\/(g\/(g\/(g*(g*g\/((g\/(g\/(g**(6\/25)*g)))\/g))\/g))) assuming g is positive.\nAnswer: g**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p - 5. Let v be n(6). Let i = 17 - v. Let j = 2 + 2. What is the remainder when j is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124750741 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*p - 192*p + 122181 = 105571 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 34 = -5*i + 16, 4*f - 18 = -2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - r + 13 = 0, 29 = -n - 4*r + 9*r. Let k(j) = 2*j**2 + 11*j - 15. Give k(n).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -7*y**5\/20 + 4*y**3\/3 + 3*y. What is the second derivative of z(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36724149?\nAnswer: 3, 7, 11, 197, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q - 2. Let o(v) = 4*v - 3. What is 4*j(b) - 3*o(b)?\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5*o = 144, 0 = -3*w - 5*o + o - 77. Let q = 25 + w. Let y(d) = d + 8. Give y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**2 - 4*b**2 + 5*b**2)*(-1 - 3 + 6)*(17 + 11 - 33).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 96022 or 96030?\nAnswer: 96030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-117)\/13 + 18)*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**5 + 928610*j**4 + 99*j**2 - 932*j + 7 wrt j.\nAnswer: 120*j**2 + 22286640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1436c (base 15) to base 3.\nAnswer: 10022000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1939, -6938, -15257, -26896?\nAnswer: -41855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4805384.\nAnswer: 2, 600673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 121*o**2 + 30 - 10.\nAnswer: -121*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -878*a*i*q**3 - 4*a*i*q**2 + 27*i*q**2 wrt q?\nAnswer: -5268*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 11*j - 20. Suppose -5*m = -4*m - j. Find s, given that 18\/5*s**2 - 6*s**3 - 6\/5*s**5 + 0 - 4\/5*s + 22\/5*s**m = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-5) + (-762)\/(-2790). Let l = k - -6\/31. Factor 0 + 0*g - 2\/3*g**2 - l*g**4 + 4\/3*g**3.\nAnswer: -2*g**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y + 1. Let z(c) be the first derivative of 2*c**3\/3 - 2*c**2 + 8*c + 1. Let h(w) be the first derivative of z(w). What is -6*a(n) - 2*h(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**20*f*f**18*(f**(-1\/5))**(1\/33))**1 assuming f is positive.\nAnswer: f**(164\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(328\/410 + 106\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 331?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -845695106 divided by -5\nAnswer: 845695106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.8248 microseconds to seconds.\nAnswer: 0.0000048248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 32*z**4 + 1261*z**3 - 3416*z**2 + 2921*z - 798 = 0.\nAnswer: -42, 19\/32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 2*k**2 + 5*k + 1. Let v be u(-5). Suppose v = -4*o + 131. Suppose o = -w + 5*w. Let y(c) = -c**3 + 4*c**2 + 4*c. Give y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -100*z**2 - z**3 + 2*z**3 + 0 + 99*z**2 - 4 + z. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 6813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -30450005013 - -5?\nAnswer: -30450005004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-4)*(8 - 10). Suppose -v - 662 = -i*v. Suppose 3*w - v = -4*n - 49, -4*n + 184 = 2*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124, 553, 1268, 2269, 3556, 5129, 6988?\nAnswer: 9133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5709201.12 minutes in weeks?\nAnswer: 566.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*f - 1122*f + 3346 = 15932 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5876, 5877, 5878, 5879?\nAnswer: 5880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -152198, -608725, -1369602, -2434829, -3804406?\n\"Answer: -152175*r**2 - 2*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/10*-1)\/((-216)\/120).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/((15\/20)\/(75\/8)). What is the highest common factor of v and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 212928700 to the nearest integer?\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 36*h - 107. Let d be w(6). Let g(c) = -106*c - d*c + 8 + 216*c. Let j(q) = q**3 - 2*q**2 - 2*q + 3. Let r be j(3). Calculate g(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.4 - 0.6. Let d = -81 - -77. Sort d, a, 0.2.\nAnswer: d, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 8 = -2. Let l be -5 + 5 + 3 + -1. Let w(f) = l + 3 + 0*f**2 + 0 - f**2 + 7*f. Give w(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -121057 at least as big as -121056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 118 - 117.8. Let v(h) = -h - 2. Let a be v(-4). What is the biggest value in n, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0010874138 rounded to 6 dps?\nAnswer: -0.001087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 20*w + 164. What is the remainder when r(10) is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1031*d**2 - 1292*d**2 + 547*d**2.\nAnswer: 286*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3053*a = 4922*a + 138306 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/184 and -101\/4.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 111121221000 (base 3) to base 8\nAnswer: 1013672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-3)*(264\/16)\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 7211134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76 + -139. Let c = h - -90. Let v be (-2)\/3 + 1773\/c. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 10:03 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(2\/49)*w)\/w*w**(7\/6) assuming w is positive.\nAnswer: w**(919\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -3*g + 5*b - 0*b, -5*g + 4*b = -101. Suppose g = h + 4. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.49 + 1.51. Which is the second biggest value?  (a) p  (b) 0.2  (c) -3\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 350*w - 768*w + 6270 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 759.8594 litres to millilitres.\nAnswer: 759859.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.2 * -32.631\nAnswer: 39.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 9*t**2 - 9*t + 20. Determine p(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4939*p = -4949*p - 40. Let f(z) = 2*z**2 - 3*z + 3. Let c(h) = -4*h**2 + 5*h - 5. Calculate p*c(m) - 7*f(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 13*c**2 + 36*c - 46. Let z be r(10). Suppose 40 = -0*d + 4*d. What is the derivative of -2*n**4 + d - z*n**4 - 2 wrt n?\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 16 = -13. Suppose -412 = -5*m + 33. Calculate the remainder when m is divided by x\/(0 + (-3)\/(-39)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166\/8*(1 - -3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((0 + (sqrt(192) - (-2 + sqrt(192) + 1))*3)*-1)**2*-2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197, 190, 179, 164, 145?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26663670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/(1*2*sqrt(12)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 30\/16*(-214)\/321\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 2*p + 2. Let x be u(-2). Suppose 5*y = 2*z + z - 7, 0 = -x*z - 2. Put y, -1, -3 in ascending order.\nAnswer: -3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 6*j - 8. Let o(a) = -4*a + 6. Let t(d) = d - 3. Let q be t(0). Let z(m) = q*c(m) - 4*o(m). Let w(g) = 20*g**2 + g. Calculate w(z(k)).\nAnswer: 80*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -753*l - 18820. Calculate p(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 16*g**2 + 130*g + 17. Give a(22).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9b0 + -4?\nAnswer: -9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38*k + 31*k**3 + 19*k**3 - 63*k**3 wrt k?\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -85, -161, -261, -385, -533, -705?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7522\/7 or -1?\nAnswer: 7522\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (t - 3*t + t)*(t**3 + 6 - 6) + 0*t**2 + 0*t**2 + 2*t**4 as n*t**3 + w*t**2 + c*t + s*t**4 + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*a - 40 = 42, -12 = -3*a. Suppose -n*o + 35*o = -6. Solve 0*i + i = 2*p + o, -4*p - 18 = 2*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 11*j**2 - 13*j + 10. Let c be q(10). Let s be 10\/c*10\/(-1). Solve 1 - s = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -385, 2, -44, -2, -1 in ascending order.\nAnswer: -385, -44, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -618*w**4 - 2*w**3 + 320*w**2 + 13*w.\nAnswer: -14832*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.045281 and 0.05997?\nAnswer: 0.105251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20552560 + 104662229 = 616*j + 91*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 4:44 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37787 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 245\/1062 - 1\/118. Put -1\/3, 18, m in descending order.\nAnswer: 18, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*u = 54*u + 200. Let a = 105 + u. Suppose 4*d + a*b - 1340 = 0, 0*b = -3*b + 12. What is d rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*(x*x**(-1\/11)*x)\/x))\/x*x\/((x\/(x**(4\/19)\/x))\/x))**(-1\/12) assuming x is positive.\nAnswer: x**(355\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29234 + 701725\/24. Calculate the common denominator of 17\/21 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1575)*1)\/(sqrt(9) + sqrt(9) + sqrt(144)*4).\nAnswer: 5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7  (b) -3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -22*a**3 + 3*a**2 + 3*a + 26. Let l(j) = -23*j**3 + 4*j**2 + 4*j + 27. Let s(z) = -4*f(z) + 3*l(z). What is the derivative of s(n) wrt n?\nAnswer: 57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52 - -55. Suppose -1 - 15 = -4*x, -5*x + 17 = b. Let c = -1 - b. Solve s*j - 5*j = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -4, -22, -60, -124, -220, -354?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-253 - -285) + 2 + -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-4 - (-8 + -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6 + (7 - 4))\/(12\/(-8)). Let t(o) = -81*o**2 - 6 + 82*o**2 - y*o - 6*o. Suppose 2*q = 7*q - 40. Calculate t(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - g = -0 - 7, 0 = g - 3. Suppose 0 = c*m - 32 - 8. Let k(j) = 5*j**2 - 5*j - 2. Calculate the remainder when k(4) is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.56 - 43.44. Let j = -43 - r. Which is the nearest to 0?  (a) j  (b) 1\/7  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276350 is divided by 272786?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 800426.3 meters in micrometers?\nAnswer: 800426300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.5 + -39.326808964.\nAnswer: -45.826808964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20816982.99634 - -20816707. Let g = 276 + z. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/1041180 and 37\/21574?\nAnswer: 23947140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -8 + -9 + (-3 - -22) + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*i - 12, 2*i + 5*v - 4*v = 3. Suppose -6*k - 3*k = i. Suppose -4*u + k = -16. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + 1002\/(-72) - (-40)\/24\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -471543 divided by -157181\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*u + 108, -15 + 91 = 2*g - 4*u. Let j be g\/(-36)*6\/(-20). Let z = 0.07 - -0.03. What is the nearest to 0.1 in z, -1, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12953, -25891, -38815, -51725, -64621?\n\"Answer: 7*n**2 - 12959*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1548 - 1633. Let s = 37 - 38.3. Let z = s - -1.2. Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-280)\/100*(-30)\/(-35)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {v: 1, x: 6, s: 3, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68\/231 - -3\/77. Which is the nearest to 2\/7?  (a) -11  (b) -4  (c) y  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/((-55)\/(4950\/80))*3\/(198\/(-8)).\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 107 - 104. What is the third smallest value in -1, 3\/8, d, 32?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11045 - 41?\nAnswer: 11004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.02 + 1.98. Sort s, 1\/5, 0.5 in ascending order.\nAnswer: 1\/5, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9335 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven tenths of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*l = -42. Let m = 75 - 75. What is the smallest common multiple of l and (9\/3 - 1) + (19 - m)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1088 and 414976.\nAnswer: 7054592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (1 - -1)) + -11. What are the prime factors of z\/((1\/2)\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -174*d - 1108. Let m be h(-7). Let l = 52 - 33. Let x = 29 - l. What is the highest common factor of m and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -71015 at most -71014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + -1 + 12 + (12 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*p = 49*p - 264. Suppose 261*s - p*s + 2130 = 0. Is s a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 36*q - 450. Calculate the least common multiple of 18 and h(-48).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1010, -1011, -1012, -1013, -1014, -1015?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7648 - 3?\nAnswer: -764b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, 5, 21221 in descending order.\nAnswer: 21221, 42, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 2*a - 5*a - 228, -80 = -r - 5*a. Solve 9*i - r = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16121)\/(-14476)*(-28)\/49?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2 + 3*i**3 + 3*i**3 + 4*i - 3*i**2 - 4*i**3 - 3*i**3. Let v be b(-4). Solve -a = v - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(1728))\/(sqrt(8)\/(sqrt(18)*-2)).\nAnswer: 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 494691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 12 = -2*c. Let k(m) = -17*m**2 + 4*m - 13. Let y(r) = -4*r**2 + r - 3. Calculate c*y(o) - 2*k(o).\nAnswer: -2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31262494*t**3 - 1574046*t**2 wrt t?\nAnswer: -187574964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11719889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 104\/(-364) + (-2)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 82556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 430809 and 0.6?\nAnswer: 430808.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (2 - 6 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 84 + 66 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -675 times -16600.7?\nAnswer: 11205472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/(12240\/(-81))*(-4)\/(-3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -476, -10697, -38450, -92501, -181616, -314561?\n\"Answer: -1461*f**3 + 6*f + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and -228817?\nAnswer: -4576.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 217981 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*z - 80*z - 86*z - 14.\nAnswer: 3*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -684 divided by 4\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 158249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 6*s**5 + s + 13\/2*s**4 - 7\/2*s**2 - 4*s**3 + 0 = 0.\nAnswer: -1, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6487 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 12642*d - 12641*d = -7, -19 = -5*l + 4*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-27) + (-102)\/(-27). Solve -l = 2*k + i, 3 = -3*l + 2*k + k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 44 + 68 = 0. Let d be (-2)\/(-8)*t\/(-2). What is the remainder when d - -2 - (2 + -2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*a*c**4 - 125831*a + 56602*c**4 wrt c.\nAnswer: 24*a*c**3 + 226408*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20916 and 6.\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 499062 + 758?\nAnswer: 49980a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*j**2 + 0*j + 2 - 6 - 3*j - 5*j - 55*j**2 in the form b*j + i + k*j**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 - (-6 + -7415 + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 20, -12, -1 in descending order.\nAnswer: 20, 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 280 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 12 + -3 - (1 - -2 - (103 + -60))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5*r - 12 + 96, -210 = 5*q + r. Let n = 65 + q. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 138 + -279. Suppose 59*g - 67*g = 656. Let o = g - m. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*o - 11. Let p(v) = -v + 1. Let y be p(-4). Suppose 0*r = r - y. What is the remainder when o is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/2 + (-5)\/10. Let l = 7 + d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -1\/2  (c) 1.1  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**5\/6 - k**4\/6 - 6*k**2. What is the second derivative of m(p) wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7782.9 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f. Let d(r) = 4*r**2 + 19. Give z(d(g)).\nAnswer: 8*g**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(76) + 1 - sqrt(76)) + -6*(sqrt(76) + 0 + sqrt(76)))**2 + 3.\nAnswer: -48*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.75 and 218.8.\nAnswer: -1695.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6457183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 33*b**7\/14 - 49*b**3\/2 - 49*b. Find the second derivative of y(l) wrt l.\nAnswer: 1980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 6:18 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**3 + 4*w**3 - 3*w**3 + (-2 + 1 + 3)*(w - 2*w**3 - w) + w - w - w**3 + 18 + w**3 - 18)*(3*w + 0*w - 2*w).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 24*k**3 - 2038*k**2 - 171*k + 97. What is t(85)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 5*y**2 + y + 6. Let m be -24*(6\/9 + 0). Let k be 2*-1*40\/m. What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -444, 5, -256 in decreasing order.\nAnswer: 5, -4, -5, -256, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 21*g**2 + 2*g + 1. Let n be m(0). Which is the nearest to n?  (a) 20  (b) -0.02  (c) -1\/5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000025107657 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 6*v**2 + 1. Let y(s) be the second derivative of -13*s**4\/12 - 3*s**2\/2 - 3*s. Calculate -7*w(c) - 3*y(c).\nAnswer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 5 = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*n - 16, -7*o = 1020*n - 1015*n + 22 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4283265*o**2*w + 1830*o*w + 5*o - 2*w + 3 wrt o?\nAnswer: 8566530*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, o: 2, y: 1, s: 2, q: 2}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -217*a**3 + 10*a**2 - 10*a - 2. Give s(1).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 89 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 = 5*b - 4*b, -4*q + 24 = -4*b. Let u(j) = j**2 + 17*j + 59. Let c be u(-13). Sort c, q, -3, 2 in descending order.\nAnswer: c, q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34 and 2255016?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**2\/9 + 61449446*w\/9 - 81932584\/3 = 0.\nAnswer: 4, 30724719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -4)*((-124)\/(-820) + (-56)\/(-1148))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000676166263 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2001240 - -1?\nAnswer: 2001241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y. Let m(o) = -27244*o. Calculate m(c(q)).\nAnswer: -54488*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 36 + -46 - (-16 + -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(12*9\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {l: 2, p: 3, s: 2, z: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/402 and -5\/1232.\nAnswer: 247632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, s: 1, t: 1}. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1431 is divided by 1410.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2469069*r**3 + 6*r**2 + 29*r - 58 wrt r.\nAnswer: 14814414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3040 is divided by 1012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2444 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11568626, 11568614, 11568588, 11568542, 11568470, 11568366?\n\"Answer: -y**3 - y**2 - 2*y + 11568630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -5*t + 5*g - 2*g, 4*t - 5*g = 56. Solve c + 3 = 0, 0*c + 3*c + t = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38 + 17*y + 25*y - 40*y)*(-4*y - 2*y - 2*y)*(-2*y - 3*y + 2*y).\nAnswer: 48*y**3 - 912*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*t - 18 = -72*t. Let s be (-1)\/(t*3\/(-27)). Determine m so that -3 + 105\/4*m**2 - s*m = 0.\nAnswer: -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9.9 + -13. Let w = 3.09905 + b. What is w rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44477*-0.585\nAnswer: -26019.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 192 + -115. Suppose h + q + l = 3*h, 3*h + q = 123. Let j = 100 - h. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -2*t - 5*x, -45*t - 28 = -48*t + 2*x. Solve 10 = -t*q + 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 35 = -5*g, 5 = 2*b - 3*g + 1. Let z be (3\/b)\/((-1)\/(-5)). Solve -z*q + a - 14 = 0, q - 4*a + 20 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*j = j + 173, -3*v + 167 = j. Suppose -4*l - v = -3*r, 5*r + 3*l = 6*l + 88. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -225\/8 in -207, 42, 0.5, 0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n = 30 - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**2 - 138*y + 5251. What is n(-94)?\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -61, -46, -31?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 2\/9, 0, -70021, -3?\nAnswer: -70021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10153 <= 111685\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 - 80*i - 1576. Determine n(-40).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + y = 21700508 + 14556999, 3*s - 4*y = 21754472. What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 5 + 10. Suppose 0 = z + 3*i - 7*i - 8, v*z + i - 24 = 0. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l + 159. Give t(-44).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/5 - (-1 - (-36)\/(-10)). What is the derivative of -3 - 2*d - 12*d - 9 - w wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 514432740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 673044017?\nAnswer: 107, 1031, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000760108095 rounded to 6 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {i: 5, l: 5, k: 1, x: 2, n: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8588892 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -7*h**2 + h + 1. Let c be w(2). Let m = c - -42. Let t = m - 7. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - (2 - 0)) + 197 + -187?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -0*a + 3*a - 1, 0 = -3*a - 3*u + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54050 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - u - 3)*(-2*u**2 - 3 + 3) - 3*u**2 + 2*u**3 + u**2 - 2*u + u**2.\nAnswer: 4*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 350 divided by 70\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 7 - (3 + 0) - (-129 + 143)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-7\/6)*g**15 assuming g is positive.\nAnswer: g**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26570530 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 8*q**3 + 3*q - 2. Suppose -4*h + 5*p - 22 = 13, -p + 13 = -2*h. Let g be h\/(-2) - 20\/(-40). Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 148768253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/7)\/(31\/217)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**5\/20 - b**4\/16 - b**3\/4 + b**2\/8 + b\/2 + 32. Determine r, given that j(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from xdxddpddpdxdpddpdddx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f - 2. Let b be i(4). Suppose -62 = -2*w + 5*y, -5*w + b*y + 155 = y. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5712)\/24*(-2)\/28.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 12:41 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 0*a = 2*a + 408, 4*a + 504 = 5*x. Suppose -3*l + 2*o = -x, 5*l = -7*o + 2*o + 140. Calculate the remainder when 70 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, c: 3, v: 3, u: 1, f: 1}. What is prob of picking 1 f and 2 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/1844 and -27\/88?\nAnswer: 40568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of 0*d**5 - 1\/10*d**6 + 0 + 3\/2*d**2 - d + 0*d**3 + 0*d**4. Differentiate t(s) with respect to s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6023*t**2 - 6058*t**2 + 12107*t**2 - 1 + 1.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from ummbmbebmebbebq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*i + 18*i + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -2. Let m be ((-9)\/a)\/(21\/14). Let s(t) = t**2 - t. Let p(l) = -l**3 + 7*l**2 - 5*l. Let d(i) = p(i) - 3*s(i). What is d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0031945758 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29730070.\nAnswer: 2, 5, 79, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9613255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.32445  (b) 2  (c) 135\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 4. Let r = 7 - 5. Let k be (-26)\/(-24) + r\/(-8). Put k, -0.3, c in ascending order.\nAnswer: -0.3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 249 + -1?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4060622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -q - f + 25, -5*q + 97 = -4*f. Suppose -6*y + 3*y = -3*j + 180, -2*y = j - 60. What is the remainder when j is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4216 plus -4.5?\nAnswer: -4.9216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-329115)\/6011834)\/(15\/(-4)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 6*q**2 + 145*q + 1422. Give l(0).\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(8\/9)*i**(1\/20) assuming i is positive.\nAnswer: i**(169\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 18655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 74280481 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**4 + 1758*r**3 + 247588*r**2 + 7991808*r - 8241152 = 0 for r.\nAnswer: -64, 1, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4386 divided by -2193.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzj. What is prob of picking 1 z and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-9)*-9*6)\/14)\/((-304)\/(-112)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3576 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 - 38.1. Let q = -0.2 + -1.8. What is the smallest value in q, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6637 (base 9) in base 6?\nAnswer: -34354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4348 (base 15) to base 11.\nAnswer: a779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -456 - 3*q + 917 - 456. Let z(t) = 4*t + t - 5 - 4. Calculate -11*b(x) - 6*z(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17940 is divided by 185.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*h + 67*h**3 - 2 + 59*h - 7*h**3 as m*h + j + d*h**2 + r*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 23752, 47496, 71240?\n\"Answer: 23744*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100001011010010 (base 2) to base 5.\nAnswer: -21242241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8 - -4) + (1256\/316 - 0). Let g = 152\/237 - o. Is g greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 1.6, 3, -8, 0.02, -2\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 - 13*z**2 - z**2)*(0 + 0 + 2*z**3) + z**5 + z**3 - z**3.\nAnswer: -33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 86*w + 18. Let r be g(-2). Let y = -152 - r. Solve y*n - 9 + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -11. Let v = k + -2. Let n = v + 0. Which is the nearest to -0.2?  (a) 5  (b) -2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 131132367.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 640840866?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 14*w**2 - w**2 - 85.\nAnswer: -15*w**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -3348.\nAnswer: 1004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3\/8, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.486 - 0.086. Which is the second smallest value?  (a) s  (b) -2  (c) -1\/8  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from tigiitgiiiig.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 3*n - 10. Let z be f(-4). Solve 0*i - z*i = -10, 1 = -4*v + i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21003655 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvmmvvmvvv?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8448450802.\nAnswer: 2, 11, 384020491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.003 - 0.127. Let g = s + 0.12453. What is g rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 7*a**2 + a + 1. Let l be i(1). Let u be (-6)\/l*-2*-15. Let b = 37 + u. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**4\/24 - 4*m**3\/3 - m**2. Suppose 3147*n - 35694 = -819*n. Determine p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f - 7. Suppose 5*h - 4 = 3*h. Suppose -3 = w + h. Determine o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -547 + 548. Let u = 0.1 - 0.3. Suppose -2*r - 2 = -2*f, -15 = -5*f + 5*r - 10*r. What is the closest to 0.1 in f, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21277905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 295015 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 10*k + 10. Let v be y(11). Let o = -8 + 5. Let l = -4 - o. What is the closest to l in v, -1\/8, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -198427 by 38.\nAnswer: -198427\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4497 - -4581. Calculate the highest common divisor of 952 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(99) + sqrt(99)*2*-5))**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13722*w**2 + 47131*w wrt w?\nAnswer: 27444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**5 - g**5 - 5*g**5 + (-2*g + 2*g - 4*g**2)*(5*g**3 + 7*g**3 - 9*g**3).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*w**5 - 100*w**4 - 1160*w**3 + 2760*w**2 + 23940*w - 58212 = 0. Calculate w.\nAnswer: -7, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/(-54)*5\/(50\/4))\/(-1). What is the nearest to 1 in -4, f, 25?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 468 = -3*s, 4*s + 5*q = 3*q + 598. Calculate the smallest common multiple of s and 5.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 3*n - 2*n**2 + 6 + 4*n**2. What is the remainder when b(6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -224*c - 211*c + 453*c - 666 = 0. Solve 1 = -c*x + 36*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1057 and 634193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -27 - (132 - 101) - (-1 - -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-6))\/(1*(-1)\/165). Calculate the highest common factor of 44 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4145 - 0.1.\nAnswer: -4145.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.73?  (a) -0.4  (b) -36  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 699*b**2*h + 2*b*h + 90*h - 2 wrt b.\nAnswer: 1398*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 6\/(-4))*56\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -745, -2301, -5083, -9247, -14949, -22345, -31591?\nAnswer: -42843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1da4369 + -10?\nAnswer: -1da4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6045.\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -114a + -146?\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 1:06 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/12*(-39)\/130?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -4, 14349*w - 14347*w - 11 - 3 = 10*g for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 - 26. Suppose -h - 14 = -w. Let u = -14 + 28. Calculate the remainder when w is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 18. Suppose -3*f + 4*c = -4*f + 23, 0 = 2*f - y*c + 2. Suppose 0 = -f*x + 12*x - 230. What is the remainder when x is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-740)\/80)\/((-9)\/468). Solve 70*l + 9 = -a for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2223213 + 10?\nAnswer: 2223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**2 - 194380907735669 + 194380907735669.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-94*z + 18*z - 65*z)*(-4 + z + 4).\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4890748 divided by 4890748?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjajajjjaaaa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9547239*l + 8735001 wrt l?\nAnswer: -9547239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5 + -5 - 5\/(-5). Put o, 0, 67 in ascending order.\nAnswer: 0, o, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that k**4\/5 - 1404*k**3\/5 - 60291*k**2\/5 - 636314*k\/5 - 1983912\/5 = 0.\nAnswer: -28, -7, 1446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 1:33 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -464966*n - 8369385. What is w(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*j - 0. Suppose 0*u + 15 = -3*u, -2*u - j = 3*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 8 + u**3 - 5 + 5*u - 7 + 9*u**2 + 3. Give i(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -42*(-4)\/44 - 4\/(-22). Let t be r\/(-3)*6\/(-4). Find the third derivative of -g**3 + 382*g**4 - 26*g**t - 417*g**4 + g**3 wrt g.\nAnswer: -840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**42\/((q*q**47)\/q)*(q*q\/(q**(-8)\/q*q)*q)\/(q*q*q*q*q**(-31)*q) assuming q is positive.\nAnswer: q**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 24*k + 8*k**2 + k**4 - 24*k + (2*k**2 + 2 - 2)*(k**2 + 4*k - 4*k).\nAnswer: 3*k**4 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, e: 5, q: 1, m: 1, d: 6}. What is prob of picking 1 q and 1 e?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 5*j + 0*j)*(-2*j**2 + j**2 + 2*j**2) + 2*j**3 + j**3 - j**3 + (-2 - j**2 + 2)*(34 + 16*j - 34).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*f**2*o**3 + 18*f**2*o**2 + 3*o**4 + o**2 wrt o?\nAnswer: 78*f**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 4*s**2 + 13*s - 6. Let m be c(6). Suppose -5*t + 2*y + 242 = m, 86 = 3*t + 3*y - 55. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 - -30.7. Put 1\/5, q, -1\/2 in ascending order.\nAnswer: -1\/2, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -618552 by 11.\nAnswer: -56232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -11*v**2 - 366*v - 103. Let k be f(-33). Let u(y) = y**2 + 5*y + 11. Give u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 88 = -a - 4*m, 4*a - 256 = -4*m. Suppose 0 = -4*j + a + 28. Calculate the smallest common multiple of j and (8\/(-12))\/(8\/(-72)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*u**2\/11 - 202*u\/11 - 78\/11.\nAnswer: 2*(u - 13)*(8*u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 440 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 7730 divided by -5\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -7*m**3 - 5*m**2 - 26*m + 25. Suppose 0 = 117*b - 113*b + 56. Is w(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 6*p**2\/5 + 24662*p\/5 + 1644 = 0.\nAnswer: -4110, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 3*i**2 - 5*i - 2. Let t be j(5). Let g = t - 12. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 17851073 and -4.\nAnswer: 17851069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2. Let r(i) be the second derivative of -55*i**3\/6 - 3*i**2\/2 + 33*i. Determine s(r(d)).\nAnswer: 3025*d**2 + 330*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -116 + 112. Which is the nearest to -12?  (a) w  (b) -1\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 12:26 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1466 - -2933\/2. What is the biggest value in k, -111, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 41557849, 5, 2, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (112*t + 116*t - 236*t)*(-16 + 4 - 4).\nAnswer: 128*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1012*q + 1873 = -43667 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h + 3. Let r be z(1). Suppose -5*v + 3 = -7. Solve 5*j - 4*g + 26 = r, 20 = -2*j - v*g + 6*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(44) + 3.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-7)\/(-2) + -3)*10. Suppose 2*h + 0 = 2, -2*s - v*h + 5 = 0. Solve 4*q + 0*q = 4*b, s = -3*q - 3*b - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1.57  (b) 7  (c) 0  (d) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*t - 12*t + 21*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -6, -22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/545194149 and 19\/292.\nAnswer: 2180776596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -897 or -11658\/13?\nAnswer: -11658\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.030624 millilitres in litres?\nAnswer: 0.003030624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4 = -0*s. Let y = s + 6. Let a(g) = -7*g**3 + 2*g + 1. What is the remainder when a(-1) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z + 8*z - 14. Let v be 27 - ((3 - 9) + 25\/5). Calculate the greatest common divisor of z and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0598 times -2\nAnswer: 0.1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -13680 divided by 1368?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 684 - 1038. Let i = p + 9557\/27. Let x = -11\/54 - i. What is the smallest value in x, 0.2, -2\/21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1671, -160, 70, -2 in descending order.\nAnswer: 1671, 70, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2239*v + 309*v**2 + 4484*v - 2248*v.\nAnswer: 309*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 + 10020200101212?\nAnswer: 10020200102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 2, 4 in decreasing order.\nAnswer: 4, 2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + (sqrt(512)*-1 - 1*(sqrt(8) + (sqrt(8) - -2*sqrt(8))))**2).\nAnswer: -2296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/184287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2101 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 77 and -25212294.9.\nAnswer: -25212217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vlxtuta. Give prob of picking 1 a and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 5*r**2 - 6*r + 12. Let w be y(5). Let c = w - -21. Which is smaller: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 7:57 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 8*y - 913. Calculate x(-30).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 332*o**2 + 17*o + 32. Let b(h) = -h**2. Calculate t(b(c)).\nAnswer: 332*c**4 - 17*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-70 - 19 + 8)*(3 - o - 3) + 171*o - 357*o + 158*o - 18 to f*o + y and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 9*c + 779. Give h(-53).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 8, f: 1, o: 1, y: 8}. Give prob of picking 1 s and 1 f.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8 + -9.459000388.\nAnswer: -8.659000388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*y + 12*y - 4 - 19*y in the form i*y + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((7 - (-4 + 6)) + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1113954 is divided by 16144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 94141943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3809344.\nAnswer: 2, 7, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 12 = -5*q - 41, 3*n = -4*q + 106. Suppose -s + 72 = 3*c, 4*c = -4*s - 109 + 485. Calculate the remainder when s is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 209 + -209. Is (124\/(-16))\/((-1)\/(q + 16)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-60)*9\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7 + 2\/7*a**2 - 2\/7*a**3 + 2\/7*a.\nAnswer: -2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -8 + ((-6372)\/84)\/(-9). What is the closest to -0.0142 in -0.4, 4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 64520262691 and 245.\nAnswer: 64520262936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6700 is divided by 571.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1487 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6 - (-24)\/(0 - -4). Let s = -2 - 1. Put -1, s, r in descending order.\nAnswer: r, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, i: 3, o: 1, d: 4, b: 3, y: 3}. Give prob of picking 1 y, 1 o, 1 u, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 3*f**2 + 3*f + 5. Let h = -18 + 19. Let i(w) = -4*w + 3. Let c be i(2). Let p(g) = g**2 + g + 1. What is c*p(t) + h*r(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 4*-1*(-2*sqrt(1452) - sqrt(1452)) + -2)**2 + 2)*6.\nAnswer: -15840*sqrt(3) + 1254690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 + 2*h**4 + h**3 + (57 - 433 - 294)*(2*h**2 - h**4 - 2*h**2).\nAnswer: 672*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 40\/7 + (-10)\/(-35). Let x(i) be the third derivative of i**5\/60 - i**4\/12 + 31*i**3\/6 - 66*i**2. What are the prime factors of x(w)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*w - 1 = -o, 0 = -2*w - 4*o + 10. Let h be 22 + (-9 + 6)*1. Suppose -5*v = 2*y - 0*v - h, -4*y + v + 5 = 0. Solve w + y = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93794004 divided by 10421556\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 227.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9.346, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2511100 rounded to the nearest 10000?\nAnswer: 2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 156841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 10 = -0*d. Let r(o) = o**2 + 5*o + 6. Let z be r(-4). Suppose 1 = -3*u - m + z*m, 0 = -d*u - 2*m - 20. Sort 4, u, -1 in decreasing order.\nAnswer: 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 140*(1326\/(-12))\/(-17). Let t = -908 + w. Let c(k) = 2*k**3 - 2*k**2 - 2. Let a be c(2). Solve -a*p - 4 = -t*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 2)\/((-3)\/2). Let h(s) be the third derivative of 4*s**2 + 0*s**3 + 0*s - 1\/20*s**5 + 0 + 1\/120*s**6 - 1\/24*s**4. Calculate h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-346)\/(-6) - 2\/3. Let l(g) = 4*g**2 - 105*g - 5. Let n be l(27). What is the highest common factor of n and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -52*a + 166. Determine s(5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 6 = 4*a - 30, -2*d - 8 = 0. Suppose -z = 4, -3*z + 3 + a = 5*x. Solve 4*l + x*r = 5*l - 22, -27 = 4*l + 3*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 25830 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 10*c**2 - 10*c + 18. Let g be b(9). Suppose 0 = g*s - 40 + 4. Let x(n) = -n - 4. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11836 and 66?\nAnswer: 35508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -179*n**4\/2 + 2647*n**3\/6 + 2684*n**2. Differentiate t(z) wrt z.\nAnswer: -2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 2:38 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -21 - (2 + (-15)\/(-5)). Let j(d) = 2*d**3 - 3*d**2 - 3*d. Let i be j(-2). Let x = i - b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63627626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 32 = 4*a, 2*m + 18 = 5*a + 6. Is 381\/2*m\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 11:02 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 5*r - 1 + 7, 0 = -5*r. Suppose 2*f + 2*b = 8, -y*b = -5*f + 2*b - 20. Let c = 76 + -682\/9. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 AM and 4:13 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 4. Let c(t) = 2*t**2 - 11*t - 17. Let a(u) = c(u) + 4*d(u). Let n = -13 - -8. Is a(n) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 12*t**2 + 5895*t - 82094. What is f(14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1649, -1697, -1745, -1793?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -948b269?\nAnswer: 948b26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s. Let w be -47 + 0 - (-1 + -2). Let q(b) = 12*b + 11. Let i(k) = -k - 1. Let x(r) = w*i(r) - 4*q(r). Give p(x(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 18*j = -160 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.6, -2\/7, -1, 0.203, 16, -2\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 125, 253, 407, 575, 745, 905?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*o - 11 + 44 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 3*o = -18, -2*v - 6 + 0 = 3*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - l - 6 = 0. Let r(m) = 6 + 2 - m - 4 - 3. Give r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-136)\/306)\/(1380\/(-270)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29947\/6 - -4993. Find s such that 55\/3*s**5 + k*s**3 + 0 - 2\/3*s + 4*s**2 - 47\/2*s**4 = 0.\nAnswer: -2\/5, 0, 2\/11, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -536 - -1200. What is the first derivative of -96*g - w - 7*g + 418 wrt g?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -98.5 + 162.8. Let u = 193 + f. Let x = u + -268. Round x to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of v**9\/84 + v**8\/112 + 61*v**5\/30 + 254*v**2. Find the third derivative of k(p) wrt p.\nAnswer: 720*p**3 + 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92 and 496?\nAnswer: 11408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -5*j**3 - 16*j**2 + 93*j + 803. Let h(u) = 6*u**3 + 18*u**2 - 106*u - 803. Determine -7*h(m) - 8*p(m).\nAnswer: -2*m**3 + 2*m**2 - 2*m - 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60363?\nAnswer: 3, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2075949 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -6*z + z - 9, 0 = -3*a + 6. Let q(j) = -8*j**3 - 2*j**2 + 3*j + 3. Let x(n) = -n**3 + n + 1. Calculate z*q(o) + 3*x(o).\nAnswer: 5*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -288.5?  (a) 0.4  (b) -19  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 47, -7, 2, -487 in ascending order.\nAnswer: -487, -7, -6, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 3*y**2\/2 + 3. Suppose -i - 3 = -2*i. Let k(b) = i*b + b**2 - 3*b. Calculate d(k(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*x - 53, 0 + 23 = x + u. Let y = x + -41. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yzz when three letters picked without replacement from {y: 1, z: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (133701 - (-190)\/(-10)) + -2. Round j to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i + 23. Let v be z(17). Let u be (-1)\/(-14)*4 - 131312\/v. Suppose 4*b - 8864 = -4*p, 4*p - 5*b - 4219 = u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - 6*l**3 + l**3 + 42*l**3 + 171*l**3 + 32*l**3 + (-2*l**2 - l + l)*(-2 - l + 2))*(2*l**2 - 4*l**2 + 0*l**2 - l).\nAnswer: -488*l**5 - 244*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.13 - -0.01. Let j = 0.04 - g. Let w = 2.8 + -2.4. Which is the closest to 1\/3?  (a) -3  (b) w  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 783730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -176*z**3 + 896*z**2 - 155*z + 369. Calculate w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80722575 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 3*g**2 + 3*g + 4. Let m be q(-3). Suppose 0 = -l + 68 - 67. Put l, 0, m in decreasing order.\nAnswer: l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -46, -3, -2, -84 in ascending order.\nAnswer: -84, -46, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7952129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - 10*y - 2. Let k be a(7). Let m = 40 + k. Suppose -5*b + 5 = 0, -g - 3*g - b + m = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-117*h + 1004 - 1004)*(3 - 5 + 19) + (0 + 2*h + 0)*(0 - 4 + 2).\nAnswer: -1993*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 44 + -74. What is the common denominator of (-213)\/y + 1 - 1 and -61\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -4629*b**2\/2 + 9828*b + 8963. What is the derivative of m(s) wrt s?\nAnswer: -4629","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 263 divide 435760229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24269 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2354 - 56?\nAnswer: -23aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**(-4))\/l*l*l*l**34)\/(l*l**(-26\/7)*l**(4\/27)))**(6\/5) assuming l is positive.\nAnswer: l**(3218\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 9*h + 26. Let b(f) = f**2 + 1. Suppose o - 1 = 1. Calculate the smallest common multiple of b(h) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -60\/11  (b) 3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-12) - (-101)\/(-36) and (-4)\/(-32)*(2\/(-8) + 17108\/(-560)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 23. What is the tens digit of y\/(-7) + (-2)\/7 + 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 435 = 670. Let y be -4 + j*(-2)\/5. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - t - 42 = r, -r - 24 = -t. Let m = r + 44. Let j(f) = -f**2 - 14*f - 15. Calculate the least common multiple of m and j(-11).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58086*j**4 + 1300*j**3 + 6149659*j**2 + 2?\nAnswer: -1394064*j + 7800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 20*a**2 - 3*a - 219. Let n(f) = 59*f**2 - 9*f - 659. Let y(i) = -8*k(i) + 3*n(i). Differentiate y(s) wrt s.\nAnswer: 34*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7436.32 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10160 = 108*r - 98*r. Suppose -33*g - r = -41*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10754\/(-57)*(-3)\/(-2). Let t = 545 + v. What is the remainder when t is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbmevkmkemebev. Give prob of sequence mem.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**2. Let r(d) = 21735815*d. Determine p(r(k)).\nAnswer: 944891307428450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34957724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 3:30 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -48, -50, -52, -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 9*q - 2*q - 6.\nAnswer: -11*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 divided by -14?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 6.1. Let l = 0.9 - -0.1. Which is the smallest value?  (a) l  (b) 1\/3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 18*r**2 - 4. Let s be x(18). Let u = 0.08 + 1.92. Which is the closest to s?  (a) u  (b) -3  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(4\/5))\/(v*v*v**6)*(v*v**3)**(-27))**(-2\/97) assuming v is positive.\nAnswer: v**(1158\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 2*q + 3*q. Suppose 3*u + 2*u + q = 5*x, -2*u - 1 = x. Let n(p) = 9*p - 1. List the prime factors of n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + r = 2951, 4*f - f - 3*r - 1785 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 18. Suppose 19 = -3*o + y. Let p(s) = -s**3 - 5*s**2 - 4*s - 5. Determine p(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11, -12, -0.3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 94477991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130, -86, 2, 146, 358, 650, 1034?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -6 - (71 - (-57 + 132)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.10048 and 0.088.\nAnswer: -0.00884224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(800) + sqrt(98) + -5).\nAnswer: -162*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563 is divided by -10*(-7)\/(-28)*3336\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151133101.\nAnswer: 7, 179, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6056 - -6056.11. Put -2, j, 0.008 in decreasing order.\nAnswer: j, 0.008, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -14. Let g(d) = -213*d**2 - 37*d - 127. Let n(s) = 107*s**2 + 17*s + 64. Let u(o) = p*g(o) + 13*n(o). Find the second derivative of u(q) wrt q.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26*m*n - 4887*m*w - 484*n*w + 8*n - 3480 wrt w.\nAnswer: -4887*m - 484*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 9}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bygil. Give prob of picking 1 l and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 137147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58*n**3 - 9*n**3 + 4*n**3)*((-2 + 0 + 3)*(5*n - n - 2*n) + 2*n - 3 + 3 + 4 + 7*n - 2 - 1).\nAnswer: 583*n**4 + 53*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9701 divided by 89\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 2 + 3)*(4*u - 5*u - 6*u)*(19 - 19 + 29*u**2).\nAnswer: 1015*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.63 and -4.\nAnswer: -10.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 - 14. Let o(s) = b*s - 20*s + 0 + 3*s**2 + 11*s - s**3 - 3. Give o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3752*q = 3756*q + 24 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232502?\nAnswer: 2, 101, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2732\/(-140) - 1 - 0. Let n = -173\/7 - o. Let y = 4310\/3 - 1415. What is the common denominator of y and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46 + 22 + 17 - 4*u**3 + 2*u to the form f*u + n*u**3 + g*u**2 + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39235952?\nAnswer: 2, 7, 43, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -146.\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1005.3g to kilograms.\nAnswer: 1.0053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r**3 + r**2 + r. Suppose -5*p + p - 5*y = 29, 5*y = 3*p - 22. Let l be w(p). Solve h**2 - h + h**4 + 8*h**3 - 2*h - 5*h**l - 2 = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-2))\/((-3)\/(-34)). Find the first derivative of 15*q - 56*q + i*q + 19*q - 22 wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 7:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -2*u + 500. Let c = u + 100. Solve -s + 4*d - 3 = c, 4*d = 4*s - 6 - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-4) + 44\/(-176). Which is the third smallest value?  (a) s  (b) -1\/11  (c) 0  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 + 67. What is the remainder when l is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5537 = -4*t + 3612, -5*t + 11428 = -4*w. Let i = t + -1092. List the prime factors of i.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-52)\/3 - (-6)\/(-9). Let r(d) = -4*d**2 - 13*d - 4. Suppose 0 = 3*h + 5 + 7. Let k(i) = i**2 + 3*i + 1. Determine h*r(a) + l*k(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - -3. What is the remainder when 17 - 15 - (14 + -60) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*k*s**2*u*x + 5*k*u*x - 2*k*u - 7*k - 1080*s**2*u + 2*s**2*x + 193*s wrt s.\nAnswer: -94*k*u*x - 2160*u + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(176) + -2 + sqrt(176) + sqrt(176))**2 + sqrt(176) + ((4 + sqrt(176))*5)**2 + -1.\nAnswer: 636*sqrt(11) + 6432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 1084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1597327 - -0.46251.\nAnswer: 1597327.46251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 5*s**2 - 4*s + 4. Let h(u) = u**3 + 6*u**2 - 5*u + 5. Let f(r) = 2*r**2 + 60*r - 193. Let p be f(3). Give p*z(t) - 4*h(t).\nAnswer: -4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -5*r + 1 + 24, 4*r = 3*n + 17. Solve r*x - 2 = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1502 (base 6) in base 8?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 + 132494*n + 1457555.\nAnswer: -(n - 132505)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t**2 - 20*t**2 + 50*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q**2 - 32*q**2 - q**2.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sdh when three letters picked without replacement from {d: 1, s: 1, f: 3, h: 1, y: 6, j: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -26158 (base 9) in base 14?\nAnswer: -65d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -10*x + 1. What is p(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 + -5 - (7 - 14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/6*12090\/(-651))\/((-740)\/888)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 + -35983627?\nAnswer: -35983627.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 14*v**3 - 10*v**2 + 58*v - 459. What is the units digit of z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -8. Let p be (-2 + 3 - 1)\/d. Solve -4*a - 5*c - 3 = 0, 4*c = -a - p*c - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9183522 or -9183530?\nAnswer: -9183522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000251075729 to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -23*m. Suppose 0 = 4*g - 1 + 5, 0 = -4*l - 2*g - 22. Let f(k) = -6*k + 5. Let j(z) = -5*z + 4. Let h(c) = l*j(c) + 4*f(c). Calculate t(h(a)).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 4*a. Let b be g(5). Let o(l) = l**2 - l. Let p be o(6). Let d be p\/(-12)*6\/b. Let s(y) = y - 1. Give s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112.17916 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - -8 - 8 - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 12, 44, 98, 174?\n\"Answer: 11*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-58 - -3) + 12\/2. What is the hundreds digit of 1401\/6 + (3 - i\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 5*w**2 - 7*w + 3.\nAnswer: -(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 10*b - 92. Let q be u(12). Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**6*b))**(-34)*(b*b*b**(-3\/10)*b)\/(b*b**3) assuming b is positive.\nAnswer: b**(2027\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7095.48 - -7104. What is j rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 709\/26926 or 0?\nAnswer: 709\/26926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3, 7*m - 5*m - 43 = 3*k. Suppose 296 - m = 3*t. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/189 and 109\/3024.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-8) + 219\/4. Let g = -219 + 289. Let u = g - m. Solve 5*f - 3*c = u, -4*f - 9 = -7*f + 2*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12034 (base 9) to base 15\nAnswer: -25ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1303 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**4\/12 - 5*d**3\/12 + d**2\/2 - 3*d - 4. Let n(h) be the first derivative of y(h). Determine a so that n(a) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 939291500 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(3 - (-3 + 13)). Let z(g) = g**3 - 6*g**2 - 7*g + 2. Let u be z(x). Suppose a - 37 = -3*w, u*a + 8 = 2*w - 14. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48)\/(-3*sqrt(6)*-2)*-5 + (sqrt(108)\/sqrt(6)*1)\/((sqrt(54)\/sqrt(2) + sqrt(27))\/sqrt(3)).\nAnswer: -7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537798273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**2 - 19657*j + 55977910 = 0.\nAnswer: 3455, 16202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -24, -127, -306, -567, -916, -1359, -1902?\n\"Answer: -j**3 - 32*j**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 13 + 0*d**3 - 11*d**2 + 11*d**2 + d**3.\nAnswer: d**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o - 2. Let t = 1 + 2. Let n(l) = -2 + 4 - 3 + t - l. Suppose -5*j + 11 = z, 6*z - 2*z = -16. Calculate j*p(m) + 4*n(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251365*o - 81178*o - 94586*o + 2646*o + 6610*o.\nAnswer: -417873*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) 152\/55  (c) 12  (d) -3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 3635 + 1835 + 1900 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 30 = 16. Let r be (0\/g + -2)*(-50 + 49). Let h(s) = -s + 0*s**2 - 1 - s**2 - s. What is h(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*o - 21839996 = -5*o, 36400020 = 5*t - 5*o. Round t to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 9:43 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*u + 0*u + 5*u)*(0 + 2*u + 0 + 1).\nAnswer: 64*u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 0*z - 32. What is the highest common factor of 112 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + 0*u**2 + 5*u**2)*(76 - 351663*u + 351662*u + 280).\nAnswer: -4*u**3 + 1424*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 6:41 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6525 and 304587?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 34*y**4 + 14*y**4 + y**2 - 8*y**4)*(44 + 100 - 657).\nAnswer: 14364*y**4 - 513*y**2 + 1026*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1847 and -0.064.\nAnswer: -1847.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -1. Suppose -i = -0*i - 4. Suppose 2*y - 21 = -3*z, -y + 0*y + i*z - 17 = 0. Which is the nearest to -1?  (a) j  (b) y  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/3252 and -91\/24.\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -13*c**3 + c**2 + 1. Let w be p(2). Which is bigger: w or -100?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 227 + -165. Suppose -4*h = 5*g - 211, g - 6*h = -4*h + 31. Let p = a - g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = g - 5*p, 0 = g - 3*p + 6*p + 9. Let q be 72\/20 - g\/(-15). What is the derivative of 7 + 7 + 3*w**q + 1 - 16 wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1320302 (base 5) to base 7\nAnswer: -136520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 9*v - 50. Calculate l(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**5\/m)*m**5)\/(m**(-7)*m**(-1\/6)) assuming m is positive.\nAnswer: m**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - t - 4. Let k be (-1)\/(-3) - (-56)\/(-24). Let d be w(k). What is the derivative of 4 + 5 + 4 - 3*j**d wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200 divided by -1.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(6*b - 3*b + b)*(3 + 1 - 3)*(-1 + 6 - 4).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14627 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 3*n**2 + 4*n - 2. Suppose 3*q - 8 = 2*s, q + 5*s - 15 = 16. What is the remainder when y(3) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1106016.67 plus 3?\nAnswer: 1106019.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2 + (-243)\/(-18). Suppose q + t = 3*t - 5, 2*q - t = -19. Let k = q + m. What is the least common multiple of k and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48526193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/40)\/((99\/10)\/11)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(162) + sqrt(162)*-2 - sqrt(2)))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4 + 3 - 1 - 1 + 2 - 4 + 1 + (1 + 1 + 0)*(3 + 0 - 1))*(-22254*d**2 + 44185*d**2 - 22276*d**2).\nAnswer: -2070*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12198 divided by 12198.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -198*a + 193*a, 16*i - 20 = -4*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0*(4 + -5 + (-9)\/(-6)). Factor m*k + 0 - 3\/2*k**2.\nAnswer: -3*k**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(228)\/(-2*sqrt(12)) - (sqrt(19) + -1 + -1)))**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.8 - -6.75. What is z rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1503488 (base 11) in base 10?\nAnswer: -2581389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 0.793  (c) -1  (d) -1\/19  (e) -41  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 47105 = 5*c, -504*c - 18823 = -506*c - 3*j. List the prime factors of c.\nAnswer: 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 85 and 22301093.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 10:23 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(448))*-4 - (0 + sqrt(448))*-2) + 2)**2.\nAnswer: 192*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 672 is divided by 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 4:13 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1001000 (base 2) to base 11\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen tenths of a decade in months?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or -185\/21?\nAnswer: -185\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-9)\/(-12))\/((-2)\/(-8)). Suppose v*r + x + 14 = -x, 0 = -2*r - 4*x - 4. Is (-33)\/(-9) + (-2)\/r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59566 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.07 and -979.\nAnswer: -979.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 29336787 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 3:38 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84148.87 kilometers to centimeters.\nAnswer: 8414887000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t + 10. Let k be r(-7). Let m = 271 - 269. Sort m, 1, k in descending order.\nAnswer: k, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**2\/3 + 381703*g\/3 + 127234 = 0. What is g?\nAnswer: -381702, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iririreirimeie. Give prob of sequence ei.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (82*b - 9250 + 9250)*(20 + 13 + 0 - 1) as h*b + d and give h.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n + 15320 - 15320.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -11*f + 1. Let g(q) = 21*q - 1. Suppose 2*j + 4*i + 26 = 0, -29 = -j + 4*i - 12. What is j*g(r) - 5*b(r)?\nAnswer: -8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, w: 2, n: 5, h: 1, g: 5, o: 1}. Give prob of picking 1 w, 1 n, and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 6*u - 7. Suppose 5*m = -10 - 0. Let q(d) = 15*d - 7. Let v(g) = 7*g - 3. Let c(h) = -3*q(h) + 7*v(h). Let t(l) = 5*l. Determine m*t(w) + u*c(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ak when two letters picked without replacement from klgkgaf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/56 and 65\/27022.\nAnswer: 756616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 307 a factor of 15578101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 + 345*x + 494910.\nAnswer: -5*(x - 351)*(x + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 22\/9, -18, -0.5, -1\/5 in decreasing order.\nAnswer: 22\/9, -1\/5, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 8*v**2 - v**2 - 5*v**2 + 7*v**2 + v**3 + 3. Let d be l(-9). Find p, given that 4*p**5 + 0*p**4 - 6*p**d + p**2 - 5*p**2 + 4*p**4 + 2*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(10\/((-16)\/480*25)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 243*u**2 - 5*u**3 - 243*u**2 + u**3 + 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2584 and 152.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of h**2\/2 - 6*h + 26. Let z be w(8). Solve -d + 15 = z*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + 9. Let i(r) be the first derivative of 4*r**3 + r**2\/2 + r + 1. Let u be i(-1). What is the greatest common divisor of u and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 - 17. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kdbbdidbggbddiddsg. What is prob of picking 1 k, 1 b, and 1 i?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -322547 (base 15) to base 11.\nAnswer: -1390699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2426, 9665, 21758, 38717, 60554?\nAnswer: 87281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/10460 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3101 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 18724300 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(308)*-2)\/sqrt(7) + -5.\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8656288g to kilograms.\nAnswer: 0.0008656288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 11)*(-2)\/(-8)*(11 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 514428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) 3  (b) 1\/8  (c) -1\/155  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(27\/(-90) - 3\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 2 + 4 - 16) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.2, -1\/9, -9202345?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 3  (b) 272\/3  (c) -10  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 7.9. Let l = -126 - -129. Let x = 1182\/1897 - 14\/271. What is the fourth smallest value in x, l, d, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.455783164 + -129194.\nAnswer: -129193.544216836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1287*q - 20043 = -125*q - 72333 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233.2465 meters to centimeters.\nAnswer: 23324.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**4\/60 - h**3\/15 - 4*h**2\/5 - 13*h - 6. Factor j(c).\nAnswer: (c - 4)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -9*s**5\/20 - 5*s**4\/2 - 9*s**3\/2 - 3*s**2 - 3*s + 5. Let r(p) be the first derivative of n(p). Factor r(h).\nAnswer: -3*(h + 1)*(h + 2)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h. Let y(c) = -1. Let j(v) = -2*v - 1. Let r(n) = j(n) - y(n). Give r(m(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o. Let t(v) = 3*v**2 - 15*v - 15. Let l(h) = -h - 1. Let r be -2 - 1 - (-1 - 1). Let w(i) = r*t(i) + 15*l(i). Calculate n(w(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 - s**3 - s**3)*(0 + 2 - 1) + s**3 - 4*s**3 + 2*s**3 - 4 + 4 + s**3 + (3*s - 7*s - 3*s)*(-3*s**2 - 2*s**2 + 3*s**2).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2563 times 0.033829\nAnswer: -86.703727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 2*q, 0 = w + 2*q + q - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5005\/4025 + (-12)\/10. Sort x, -3, -1 in ascending order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -383 = -2*o - d, 4*o - 3*d - 765 = 26. Let u = -138 + o. Suppose t**3 + 5*t**5 + 24*t**2 - u*t**2 + 7*t**5 + 3*t**3 + 32*t**4 - 16*t = 0. What is t?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 > 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -85\/7, 5\/2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35738 (base 11) in base 5?\nAnswer: 3121331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3*b**3 + 2*b**2 + b - 1. Let i(c) = -16*c**3 + 11*c**2 + 4*c - 6. Let p = 416 - 427. Give p*s(t) + 2*i(t).\nAnswer: t**3 - 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.059 - 4.941. Which is the second biggest value?  (a) n  (b) -0.11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21006894, 5, 0 in descending order.\nAnswer: 5, 0, -21006894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11.054 + 0.054. Let l = 7 + t. Which is the fourth smallest value?  (a) -2  (b) l  (c) -1\/5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from eeezeobbbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.27 - -43.73. Let i = 36.1 - r. Let u = i + 8. What is the closest to 0 in 5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 9*w + 8. Let k(f) = 2*f**2 + 0*f**2 + 3*f + 15*f - 15. Let p(y) = -5*a(y) - 3*k(y). What is the units digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -922*w + 919*w - 18 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146428532 is divided by 11218?\nAnswer: 11196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3334.25 and 7.8182585.\nAnswer: 3342.0682585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (52 - 49) + -25 + 0 + 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1321812 divided by -330453\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 317339242 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1378 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1311 + -1305. What is the lowest common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -219514*j**2*r**3 - 605*j**2*r - 128427941*j*r**3 wrt j?\nAnswer: -439028*r**3 - 1210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -60 + 3*l - 74 + 130. Let w(a) = 3*a - 5. Calculate 2*c(q) - 3*w(q).\nAnswer: -3*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 10*n. Suppose -15 = -3*z - 4*w + 2, -14 = 4*z - 2*w. Let b(y) = y. Let j(p) = z*q(p) + 12*b(p). Let k(h) = h - 4*h + 8*h. What is j(k(o))?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 - 12 - 1)*((-2 + 1 + 2)*(0 - 3 + 2) + 0 + 4 - 1)*(7*f**2 + 0*f**2 + 2*f**2) to h + n*f + c*f**2 and give c.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12.7 - -113.3. Let d = -488527.9818 + 488654. Let n = d - j. What is n rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3127860456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 31, 495 in descending order.\nAnswer: 495, 31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62661 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*u**2 + 6*u**2 + 246*u**2 - 6*u**2 - 98*u**2.\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2866499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 290 + 87*v - 333*v - 93 - 402*v + 112*v wrt v?\nAnswer: -536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8705005 (base 9) in base 11?\nAnswer: 26a9590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 + -50. Which is the second smallest value?  (a) -0.5  (b) j  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 + (-6)\/(-8) - (-9 + (-6664707)\/108)?\nAnswer: 3, 7, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*z + 2700 = -123*z. Let g = z - 370. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0014 less than -0.53204?\nAnswer: -0.53064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 55 + -55.29. Let p = b - -0.46. Let c = -0.51 - p. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 21 = -2*z + 4*b, -z = -4*b - 15. What is the smallest common multiple of z and 9931?\nAnswer: 109241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from euuezzgzuuuvueuuug. What is prob of sequence ueu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.007 + 0.069. Let z = k - 0.062105. What is z rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 2:42 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**5 + 72*y**4 - 395*y**3 - 72*y**2 + 396*y = 0. Calculate y.\nAnswer: -1, 0, 1, 6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 13*w**3\/3 - 11*w**2\/2 - 5*w + 45. List the prime factors of f(-12).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 (base 11) in base 12?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2315 is divided by 256.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 822.\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - 16. Let o = -19 + c. What is the second biggest value in 5\/3, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.03, -7, 1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/11, 2, -0.1, 53, -7, -16\/5.\nAnswer: -7, -16\/5, -0.1, 6\/11, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 117*f - 6. Let a(u) = 39*u - 2. Give 8*a(i) - 3*s(i).\nAnswer: -39*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10.1 - 10. Suppose 6*s = -x + 4*s, 0 = x + s - 1. Suppose x*m + 4*d = -20, 0*m = -2*m + 3*d + 15. What is the third smallest value in 0.3, n, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9.4 + -9. Which is the nearest to -0.1?  (a) -0.4  (b) p  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 120 and 1224.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 691151916 and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-629)\/37*20\/68\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.022 and 209000?\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2614*r - 516*r - 557*r - 518*r - 511*r - 528*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 15*a - 660. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(165)\/sqrt(5)*-5 - sqrt(297)\/sqrt(81))\/(((-3*sqrt(165))\/sqrt(5))\/sqrt(3)) + -2)*-4)**2.\nAnswer: -1024*sqrt(3)\/9 + 5824\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 5*g**2 - 6*g + 4. Let u be v(6). Find the third derivative of 3*w**2 + w**5 - w**4 + w**u wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -433.442546 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(209) + -2*sqrt(209))*-5 - -6*sqrt(209)*2)*-5)\/(((sqrt(165)*2)\/sqrt(5))\/(1*sqrt(12) + sqrt(12) + sqrt(3))).\nAnswer: -425*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18, 80, 188, 342, 542, 788?\n\"Answer: 23*y**2 - 7*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 13*w**2 - w + 35. Let n(f) = -22*f**2 + 2*f - 70. Calculate -3*n(s) - 5*q(s).\nAnswer: s**2 - s + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 145945915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = 0, -4*r - 5*u - 7 = 7. Let h be (-1 - -1) + -3 + r. Let y = -2 - -5. Sort h, y, -2 in ascending order.\nAnswer: h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-25*b + 20*b + 9*b) - 1 - b + 1 + (6*b - 2*b - b)*(2 - 1 - 2) + 3*b - 3*b + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one halves of a millennium in decades?\nAnswer: 4550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 175 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 40.00526 hours?\nAnswer: 144018.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.995 and -20335.\nAnswer: -20233.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -2*x**3 + 1\/12*x**4 + 6*x - 3*x**2 + 0. Let n be c(14). Calculate the highest common divisor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h**3 + 4*h**3 - 6*h**3)*(-2*h + 38*h + 4 - 43*h) as b*h + x*h**3 + r*h**4 + m + p*h**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.22 and 409171.\nAnswer: 409170.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {d: 11, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 58, 5, -0.155, 3 in descending order.\nAnswer: 58, 5, 3, 1, -0.155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 24*i + 14. Let m(a) = 25*a + 13. Let k(g) = 2*m(g) - 3*n(g). Find the first derivative of k(d) wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 15, -2\/7, -0.4, 0.1, 4, 8 in increasing order.\nAnswer: -10, -0.4, -2\/7, 0.1, 4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -773, -1549, -2321, -3089, -3853?\n\"Answer: 2*u**2 - 782*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 213441 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: Simplify ((s\/(s*s**(4\/9)))\/(s**(2\/15)*s)*s\/(s**(-1\/6)*s*s)*s**(-2\/15))\/((s**(-1\/4)*s)**31)**(-29\/2) assuming s is positive.\nAnswer: s**(120449\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*c + 2*c + 0*c)*(-c**3 - 4*c**3 + 2*c**3).\nAnswer: -39*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2795219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7480 - 2a78?\nAnswer: -a448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 994756, 1989576, 2984398, 3979222, 4974048?\n\"Answer: a**2 + 994817*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**6\/240 + w**5\/20 + 5*w**4\/8 - 4*w**2. Let x(m) be the second derivative of n(m). Calculate x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8672a74 (base 11) to base 14.\nAnswer: -204bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 3*s + 579, 2*l = 7*s - 2*s - 307. Let w be 5 + l\/15*-5. Calculate the highest common factor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**4 + 23*q**2 - 1. Let v(m) = -2*m**4 - m**3 - 23*m**2 + 1. Let d(j) = -7*n(j) - 6*v(j). What is the third derivative of d(u) wrt u?\nAnswer: -48*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(2\/7)\/v)**42\/(v**(-5)\/(v*v\/((v*v**(-2)\/v)\/v))))**(-6\/5))**(-24) assuming v is positive.\nAnswer: v**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5332 + 7882. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -241090330 to the nearest one million.\nAnswer: -241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 17*z + 2. What is the remainder when v(3) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47499567\/199 + 238692. Let z = b + 63447\/3980. Let u = 65\/4 - z. What is the closest to 0 in 1, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*j = -38*j - 19139274. Suppose -h + 1074606 = -j. What is h rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39745 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20132122113 - 1?\nAnswer: -20132122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53923017 rounded to 4 decimal places?\nAnswer: -0.5392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 134*l**3 - 3489 + 3489)*(4*l - 5*l + 2*l)*(4 - 6 + 4).\nAnswer: 268*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*g - 22, 3*p + 2*p + 20 = -5*g. Which is the closest to p?  (a) 2\/5  (b) -2\/9  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-25))\/(17\/119*70\/150)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttyyyytttyyt. Give prob of sequence tttt.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**5 + 4*o**5 - 5*o**5 + (10*o**2 + 0*o**2 + 0*o**2)*(2*o**3 - 5*o**3 + 4*o**3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1004)\/14 + 5367 + -5295. Factor 24\/7 + 16\/7*s - 2\/7*s**3 - v*s**2.\nAnswer: -2*(s - 3)*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2582788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -7*u**2 - 46*u - 51. Let c(i) = 6*i**2 + 47*i + 51. Let t(q) = 5*a(q) + 6*c(q). Suppose t(w) = 0. What is w?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*x + 36 + 21 - 5*x in the form f*x + o and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 10:40 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20718)\/(-48342) + (1074\/(-63))\/((-2)\/3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 504\/(-120)*3\/9.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 11) in base 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 355 divided by 4.\nAnswer: 355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/23  (b) -2  (c) -52  (d) -5  (e) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -98\/500445 and -111\/51898.\nAnswer: 7006230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -627 times 0.9\nAnswer: -564.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 + 6. Calculate the highest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4725073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1184\/176 - 18\/(-66)) + 137\/(-11). Is -8\/7 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38 - 37.5. Which is the biggest value?  (a) -4  (b) p  (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1955, -3969, -5983, -7997, -10011?\n\"Answer: -2014*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 273*f**2 + 531*f**2 - 61*f**2 - 79 + 79 to a + b*f + p*f**2 and give p.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2852 by 92.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 193.367 + -147.367. Let z(p) = -p**2 - 4*p + 6. Let b be z(-5). Put s, 1\/2, -2, b in ascending order.\nAnswer: -2, 1\/2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((((u*u\/(u**(3\/8)*u))\/u)\/u)\/u))**(-8\/7) assuming u is positive.\nAnswer: u**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4134 + 14788. Suppose -242*m = -228*m - b. List the prime factors of m.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 745246 by 32402.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/1560*-39)\/(-3*(-10)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140556.843171 + -0.3.\nAnswer: -140557.143171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttyatytttttoy. Give prob of sequence tta.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 3*a + 3*r - 81, -r - 106 = -5*a. Suppose a = 33*m - 32*m. Let s = 26 - m. Solve -c - s*n = c + 21, -22 = -c + 4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**5\/5 - 4*u**4\/3 - 2*u**3\/3 + 8*u**2 - 2*u + 30. Determine x so that z(x) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(140\/(-56))\/(1\/22). Let j = 52 - q. What is the closest to 2\/5 in -2, 3\/4, j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 13*j**2 - 2*j + 20. Let s be y(13). What is the lowest common multiple of s\/24 + 161\/4 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.087432859 less than -9?\nAnswer: -8.912567141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2732 + -2729. What is the fourth smallest value in r, 2\/13, -4, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 9. What is the units digit of (-46)\/a - (-9)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(363) + -2 + 2)**2 + sqrt(363) - ((6*2*sqrt(363))**2 + sqrt(363))).\nAnswer: -51910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -3*y**8\/14 - 5*y**4\/12 - 4*y. Find the third derivative of n(z) wrt z.\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 161936 = -t, t = -5*a - 4*t + 269860. List the prime factors of a.\nAnswer: 7, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbtt when four letters picked without replacement from {t: 4, b: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w + 1. Let n be c(-4). Suppose 239*d - 1377 = -220*d. Solve -l + n = d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21546)\/360 + ((-273)\/1020 - (-38)\/323).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1786543 is divided by 1785858?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1881 divided by -19\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 27 (base 10) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22611377?\nAnswer: 17, 41, 32441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 4 + (-108 - -73)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -4*u - 8, 0 = 2*u - 6*u + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33597718?\nAnswer: 2, 7, 11, 29, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 4:45 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -6, -5, -4\/5, -0.3, -1.5 in descending order.\nAnswer: 0.1, -0.3, -4\/5, -1.5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2))*-2 + (sqrt(22)\/(sqrt(11) + 1*sqrt(11) + sqrt(11)) - sqrt(2)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d - 71*d**3 + 60*d**3 - 2*d**2 + 1 - 4*d**4 - 2*d to j + p*d + z*d**2 + t*d**3 + v*d**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of 0 + 3\/10*i**6 + i**2 - i + 11\/4*i**4 + 5\/2*i**3 + 29\/20*i**5. Let x(m) = 0. Calculate m.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000822197815 rounded to five decimal places?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 4) + (-18)\/(-9). Let n be 4\/16*w + (-6)\/(-4). Let m be (-50)\/15 + n - -2. Which is the nearest to m?  (a) 1\/6  (b) 3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -151 by 5.\nAnswer: -151\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 53, -1, -46, 1, -5 in increasing order.\nAnswer: -46, -5, -1, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*b**2 - 1117032*b + 446816 = 0 for b.\nAnswer: -55852, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w - 2*w**2 + 3*w)*(-17 + 17 - 7*w**2) + (0*w + 0*w + 2*w**3)*(-w - 3*w + 6*w) + 3*w**4 - w**4 - w**4 - 4*w**4 + 2*w**4 + 3*w**4.\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppjpqpqbppvpqv. Give prob of picking 1 v and 3 p.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57575267 to the power of 1\/2, to the nearest integer?\nAnswer: 7588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 7836\/(-252) + 0 + 0. Let w = y + 92\/3. Factor 6\/7 - 2\/7*z**2 - w*z.\nAnswer: -2*(z - 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.103 in 54\/13, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 49 - 28. Suppose 3*s - l = 11 + p, 3*l = -2*s + 25. Calculate the remainder when 618\/15 - 2\/10 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/(-1050)*35*-3\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -159 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3313452 and -2.\nAnswer: -6626904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.44 + -2.53. Let u = t + 0.09. Which is the closest to 0.1?  (a) 4  (b) u  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -601 + 2151. What is u rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 157032 = -59019. Let v = -178013 + l. What is v rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3*f + 20 = 4*j, 4*f + 5*j = 22. Solve 5*s = 25, -f = 3*t - 2*t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -42*c + 212. Let w be d(5). Let p = 15 + -14.5. What is the closest to 4 in p, w, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 3*o = 42. Suppose -4*c = c - 10. What is the greatest common divisor of o and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13303517?\nAnswer: 1753, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.1222 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124593541.973 + -124681351. Let y = t + 87746. Let s = 63 + y. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -154 + 151. What is the smallest value in -1\/8, -2\/43, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*q**4*x**3 - 31*q**4*x**2 + 190*q*x**3 - 47*q*x**2 + q wrt q.\nAnswer: -480*q**2*x**3 - 372*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r + 2. Let b be (11 + -5)\/(1*-2). Determine d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4\/3)\/q*q**(6\/7) assuming q is positive.\nAnswer: q**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/(-7) - 4\/14. What is the derivative of -5*p**3 + 0*p**n + 5*p**3 - 3*p**4 + 5 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1078 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 1 + (-16)\/(-4). Suppose -9*y = -r*y - 30. Solve 2*j = f + 1, 5*j + y*f = f - 35 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i - 1 + 1)*(-1 + 1 + 2*i) + (-5*i - 2*i + 3*i)*(0 + i + 0).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 12 = 4. Suppose -4*h = -3*c + 1 + 52, 2*c - 32 = x*h. What is the highest common divisor of c and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 a factor of 1380659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {u: 1, j: 5, c: 3, k: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0*r + 5, -f = 2*r - 6. Let u be 14\/f*(-16)\/8. What is the highest common divisor of 28 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 11*c = -810. Suppose 2*j - 4*p + 0*p = 304, 4*j = -4*p + 656. Let l = j - c. Round l to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1527)\/(-21) - 20\/(-70). Suppose 0 = -o*v + 72*v + 53. Suppose -3*j - 3*s = -189, -2*j + v = -j - 4*s. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 13*a**3 - 8*a - 4. Let z(q) = 10*q**3 - 6*q - 3. Let d(b) = -3*i(b) + 4*z(b). Let j(l) = -3*l**3 + 3*l. Calculate -d(f) - j(f).\nAnswer: 2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3085 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-67)\/(-201))\/(21\/36)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i + 42 = 13*i. Which is the nearest to 0?  (a) i  (b) -1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3431387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 3*c**2 - 5*c + 3. Let r(z) = 0*z + 13*z - 2*z - 8*z + z**2. Let w be r(-4). Determine f(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 v when four letters picked without replacement from lhvvvhlvv?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -5*r + 30. Let s be z(3). Suppose -4503 = -6*t + s. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24904 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2856 and 20230?\nAnswer: 242760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m + 28 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5623)\/(224\/(-77) + 3))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r**3 + r**3 + r**3 + (-1 + 1 + r**2)*(-r + 0 + 0) + 2*r**2 + r**3 + 510*r + 2*r**3 - 511*r in the form d*r**3 + z*r + h*r**2 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((2 - -5) + -14 - -23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*w**2 + 25*w**3 - 31*w**3 + 14*w**2)*(2 + 7 + 4).\nAnswer: -78*w**3 + 286*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lwrrwwwrwrrrrwlll. What is prob of sequence www?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 2988?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.08, 0.4, -2, 173, 36, 8 in increasing order.\nAnswer: -2, -0.08, 0.4, 3, 8, 36, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-387)\/(-21) - 6\/14. Let n(y) = 4*y - 70. Calculate the remainder when 9 is divided by n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2847423319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54102, 216447, 487022, 865833, 1352886, 1948187?\nAnswer: 2651742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220668 divided by 497.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -278 + 219*q + 176 + 108 to the form i*q + l and give i.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67635.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 0 - 1\/3*r**3 + 2*r**2 - 1\/210*r**7 + 0*r + 0*r**5 + 0*r**4 + 0*r**6. What is the derivative of s(m) wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*x - 141 - 12 = 315 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/7))**(2\/97)*(v**1)**1*(v*(v*v\/(v**(-1\/4)\/v*v))\/v)**(-2\/9)\/((v\/v**5)\/v**1) assuming v is positive.\nAnswer: v**(7461\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7053860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2341 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -24\/145  (b) -15  (c) 5  (d) 2\/5  (e) -0.3  (f) -2  (g) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(49*z - 106*z - 146*z)*(-1 + 1 + z)*(4*z**2 - z**2 - z**2) - 2*z**4 + 4*z**4 - 3*z**4.\nAnswer: -407*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 70, 4, -3\/4, -2\/13 in increasing order.\nAnswer: -3\/4, -2\/13, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + 0. Let n = h + -0.7. Let y = 1 + n. Which is the nearest to 1?  (a) y  (b) 0  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**2\/7 - 210235752*o\/7 - 5524883927375688\/7 = 0.\nAnswer: -52558938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*x - 1315 - 139 + 1456.\nAnswer: 60*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t + 5. Let g be h(5). Suppose 5*m + 1 - 36 = -4*q, -5*m = -g. Is 6 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - 9 - (10\/(-75) - 337\/60). Put 0.2, q, 12, 2\/3 in ascending order.\nAnswer: 0.2, 2\/3, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11, -28, -45?\n\"Answer: -17*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28.62 - -28.63. Which is the fourth smallest value?  (a) 4\/3  (b) 3  (c) -2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*d + 20 = -i, -d = 3. Let y = -10 - -13. Suppose -2*o = n + i - y, 0 = -5*o - 10. Solve 3*b + n*b + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -1.93.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 113504 (base 6) to base 13\nAnswer: 467b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4525 divided by -5\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 3*k**2 + 3*k. Let a(f) = 74*f + 2*f**2 - 73*f + 0*f**2 - f**2. Determine -6*a(i) + 2*d(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 211 and -5.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 39200 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 932 + 928 - 7*n + 34*n**2 - 3631 + 846 + 925.\nAnswer: 34*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 44306.4897 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (11\/11)\/(((-2)\/6)\/(-1)). Suppose -3*p + 2*k + 1185 = -33, -4*p + z*k = -1625. Suppose 0 = -5*v, -4*s + p = 2*v - 7*v. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/5)\/(2\/(-7)). Suppose 4135*g + 3 = 3993*g + 3. Factor g - 18\/5*s + k*s**3 + 61\/5*s**2.\nAnswer: s*(s + 9)*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15035 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/4 + 359*d**2\/4 + 32785*d\/2 - 16482.\nAnswer: -(d - 492)*(d - 1)*(d + 134)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.9, -0.01, -0.5, -2 in ascending order.\nAnswer: -2, -0.5, -0.01, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -176*a**3 + 2*a**2 + 13*a + 13. What is i(-1)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -1. Let l(p) = -p**2. What is 4*k(b) - 2*l(b)?\nAnswer: 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-20 - -21) + ((-561)\/3655 - 4\/5)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*o + 2 = 8, 2*d = -3*o + 15. Suppose d*y + 9 = 0, 2*y + 5 = l - 0. List the prime factors of l - (1 + -1 + -7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 6. Let z(u) = u**3 + 0*u**2 + 3*u**2 + 5*u - 3*u**2 + 7*u**2 - 4. Let q be z(m). Solve -h - q*h = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3*a**2 - 15*a - 4. Let d(r) = 7*r**2 - 31*r - 7. Let g(l) = -4*d(l) + 7*p(l). What is the second derivative of g(m) wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -188 - -190. Suppose -4*s + n*k - 6*k = -672, s - 5*k - 150 = 0. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -53334.48154 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 9*m + 16*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38705 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + 144. Suppose -2*d = 5*l - q, -3*d - 2 = l - 25. Suppose -j = -l - 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o + 4*o + 0*o)*(5 + 7 - 75 - 109) + 0*o + 7*o + 6*o in the form q*o + w and give q.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of -g**4\/12 + 2*g**3\/3 - 3*g**2\/2 + 2*g. Let y be r(3). Suppose 1107*s = 8904 + 4380. Solve y = 2*d - 5*d + s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135150087 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 330 and 83021686?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*u**2 + 27*u\/7 + 15\/7.\nAnswer: -3*(u - 1)*(14*u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 110551733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.40018365 to three decimal places.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4458682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/3 + (-22)\/(-24). Let l = u + -3\/4. Let t = -112\/5 + 22. Which is the nearest to -1\/4?  (a) -3  (b) t  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -u**3\/6 + u**2\/2 + u. Let i(b) be the first derivative of 3*b**2 - 9*b + 4854. Calculate i(o) + 5*m(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 PM and 2:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191002*d - 382001*d - 150*d**2 - 2*d**3 + 190999*d.\nAnswer: -2*d**3 - 150*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxv when three letters picked without replacement from ejjjjvxexhjjjjjj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2992 + 3064. What is the remainder when 285 is divided by b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - l**4 - 2*l**3 - 5*l - l + 22 + l + l**2 - 48 in the form w*l + x + g*l**2 + c*l**4 + k*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.64+-74708\nAnswer: -74707.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.91 - 4.92. Let m = -2 + q. Let p = -0.49 + m. Which is the second biggest value?  (a) -0.2  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 11*i. Let b(c) = -281*c. Let d(k) = -74*k + 1. Let u(v) = b(v) - 4*d(v). Calculate u(m(h)).\nAnswer: 165*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*x + 0*x - 2*x)*(3 + 1 + 3) to the form n + q*x and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 w when four letters picked without replacement from rawrwraw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 521.19378 microseconds?\nAnswer: 0.00000014477605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 26075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22353 is divided by (-1)\/(-6) + 0 - -5*40953\/990.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8727 and -162.\nAnswer: 1413774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/8 + (-539)\/44. Let r be 2 + 6*(-4)\/j. Solve 0*m - 4 = -r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(3456))\/sqrt(800))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -37643, -75281, -112919, -150557, -188195, -225833?\n\"Answer: -37638*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 4 - 3*y**2 + y**2 - 6*y - 2*y**2.\nAnswer: -2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.1 or -2\/3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -37.2, 0, -0.45, -4 in descending order.\nAnswer: 0, -0.45, -4, -37.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2681 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.23 and -783.\nAnswer: 180.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4413737400 rounded to the nearest 1000000?\nAnswer: 4414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 71*m. Let s(g) = 5*g + 172. Give p(s(b)).\nAnswer: 355*b + 12212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**7*r**33*r**(7\/9)*r**32 assuming r is positive.\nAnswer: r**(655\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-20)*-4*(-5 + 7)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 - 6*w - 47. Let b be c(-5). Let g be 21\/b - 10\/(-12). Is g bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 49*x**2 - 8771*x + 23. Let k be j(179). Let l(n) = n**3 - 23*n**2 + 2*n - 38. Determine l(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = d, -17*v + 4*d = -14*v - 54. Calculate the remainder when v is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 126*u + 3373. What is y(-27)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*i = 22 + 47, 34 = g - 5*i. Let o be (-1)\/(-24)*4*3*g. Which is the nearest to o?  (a) -2  (b) -5  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**5 + z**5 + 0*z**5 + 0*z - z**5 + 0*z + (4 + 1 - 3)*(-3*z**5 + 5*z**5 - 3*z**5) + 3*z**5 + 7 - 7 + 5 - 5 + z**5.\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 1002 - 1002 + 4*x. Let p(z) = -z**2. Determine p(g(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**5\/30 + 4*c**2. Let i(k) = -5*k**2 + 4*k. Let r(o) = -4*o**2 + 3*o. Let q(l) = 3*i(l) - 4*r(l). Give q(z(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 7033832?\nAnswer: 7033832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 9*n**4\/2 - 4*n**3\/3 + 2*n**2 - 242. Let q(x) = -36*x**3 + 9*x**2 - 9*x. What is -9*p(c) - 4*q(c)?\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express y - 5*y + 0*y - 3 - 1 as b*y + k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2 + 1 + -2 + sqrt(272)*3 + 5))**2*1*4.\nAnswer: 576*sqrt(17) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-41 - (-2 - (1 + 2))) + (-2 - -4) + 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of 0*t**3 + 3\/4*t**5 + 10*t + 0 + 0*t**2 - 7\/12*t**4. Find the third derivative of m(j) wrt j.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 71*z - 3. Determine j(5).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1253 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-3 - -3) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 32.5357 decades?\nAnswer: 325.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -153464, -306984, -460544, -614144, -767784, -921464?\nAnswer: -1075184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9203*w**3 - 84*w + 18389*w**3 - 96*w + 180*w - 9193*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 7*u + 22. Let x be h(-9). Put 3, -5, x in ascending order.\nAnswer: -5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**4\/4 + 5*s**3\/3 + 2*s**2 - s - 1. Let i be a(5). Factor -i + 8*z**4 + 19 + 12*z**3 + 0*z**3 + 4*z**2.\nAnswer: 4*z**2*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 5) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147)\/(sqrt(3) + sqrt(3)*-1 + sqrt(3)))\/(sqrt(28)\/sqrt(4)*-6).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - a - 17 = u, 2*a - 26 = 4*u. Suppose 0*l - 15 = -a*l. Solve -l*y - 5 = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -1231*l**9\/504 + 125*l**5\/6 - 12*l**2 + 47. What is the third derivative of q(t) wrt t?\nAnswer: -147720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 10244, 80518, 271260, 642704, 1255084, 2168634?\n\"Answer: 10039*i**3 + i + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 950657976.\nAnswer: 950657976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffttfffftfftfffftf.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**2 + 2*d + 1. Let g be o(-2). What is the third biggest value in 3\/7, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*w**2 + 0*w + 54*w**2 - 3 - 28*w**2 - 2*w to the form s*w + v + d*w**2 and give d.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10657, -21262, -31837, -42370, -52849, -63262, -73597?\nAnswer: -83842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 3. Let c be m(0). Suppose -x = -2*x + c*s + 29, -5*x = -s - 103. Suppose -x - 14 = -2*n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 6. Let u = -3 - h. Let l = -2 - u. Solve 2*a + l*f = 10, -2*f = -a - a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -7\/3*i**3 - 2 + i**2 + i. What is k(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002470153 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*sqrt(45) + 5.\nAnswer: -27*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 41*v + 11430. Is q(-64) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**5 + 1821*w**4 - 162525*w**3 + 2217315*w**2 - 5541492*w + 3484884 = 0 for w.\nAnswer: 1, 2, 13, 89, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 2*b - 1. Let o(l) = -l**3 + 7*l**2 + 10*l - 14. Let v be o(8). Let r be w(v). Solve -2*j + 5 = -r*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 7*c = 0. Let a be (-5 - 366\/(-54)) + 2\/9. Let c*f + 2\/7*f**a + 0 = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*k = 11*k - 17*k + 38. What is the greatest common factor of 79 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/83  (b) 0.2  (c) -3  (d) 2\/14539\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bb + -5?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 415568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 - 1983*n - 12288*n + 1012*n in the form c*n + d and give c.\nAnswer: -13259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 130 and 72260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17509027 + -9606348. Let p be 2\/(-5) - 51\/(-15). Suppose 5297321 = -p*c - m. Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - 4\/(-6)*21. Which is smaller: w or 20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3658 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5))**36\/(m**(-4)*m\/m**(-3\/7)*m) assuming m is positive.\nAnswer: m**(-449\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 137512120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 383.457mg in micrograms?\nAnswer: 383457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*r + 162 = 848 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13.81 + 13.9. What is the third smallest value in -0.3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22590 and 135540?\nAnswer: 135540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 4*p**2 - 3*p + 2. Suppose 8*t = 7 + 9. Determine g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from hmhhhmhmmsm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**2\/6 + 11*b\/2 + 15 = 0.\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41686 is divided by 13885?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1931, 1600, 1269?\n\"Answer: -331*t + 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 381859236307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-8 - -20 - 718)\/((-2)\/73)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13976854, -27953705, -41930546, -55907377, -69884198?\nAnswer: -83861009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -62?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7134774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*n - n**2 - 9*n + (11 - 4*n - 11)*(-n + 4 - 4) in the form g*n**2 + r + m*n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1\/4, 3, 3.8 in descending order.\nAnswer: 3.8, 3, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -19.7  (b) 2\/5  (c) 3  (d) 510  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4862 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 10 = -2*g, 4 = -2*z - 0*g - 4*g. Let f be z*(-4)\/32*-4. Suppose -f*r = -r. Solve r*q + 17 = -5*q - 3*j, -j = 2*q + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**3\/6 + n**2\/2 - 958*n. Let d(b) = -7*b**2 - 7*b - 4. Give -d(x) - 4*h(x).\nAnswer: 7*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 3. Let x be y(5). Suppose -2*l + 18 = -4*a, 4*a - a + 24 = -2*l. Let g be a\/(-8) + 130\/8. Solve 25 = 5*q + r + x, -g = -3*q - 4*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3769 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11732326.\nAnswer: 2, 727, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 49928 <= 49930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (85\/(-15) + 9)\/((-4)\/(-6)). Find the third derivative of 8*x**5 - 84*x**2 - 12*x**3 + 22*x**3 - 2*x**6 - 8*x**g wrt x.\nAnswer: -240*x**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-5) - 9\/(-15). Let p = 0 + -3. Let x = 5 + p. Which is the nearest to -1?  (a) 0  (b) x  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*l - 0*l. Let p(n) = 5*n**2 - n - 3. Let d(k) = k**2 + k. Let w(g) = 4*d(g) - p(g). Let y be w(l). Is -2 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 8*x - 14. Let w(j) = j + 127. Calculate z(w(f)).\nAnswer: 8*f + 1002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4 + 90*l**3 - 868*l**2 - 3264*l - 2304.\nAnswer: -2*(l - 24)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*v = 0, 2*u - 2 = 7*u + 3*v. Suppose 0 = t - 2*l - l - 3, t - u*l = 0. Let f = t + 12. 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 242 divided by 135490?\nAnswer: 121\/67745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222545 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-243)\/360 - 2\/((-20)\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66)\/(5\/((-20)\/6))*(-4970)\/3976?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143*j + 17*j + 46*j + 147*j + 545*j.\nAnswer: 898*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 11*n + 12. Let z be t(-12). Suppose 2*a = 4*l, 6*l - 3*l = 7*a - 22. Solve z = -l*o + o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1333912, 5, 72.\nAnswer: 0, 5, 72, 1333912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1514706 + 5?\nAnswer: 1514713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 888 and 176640?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 + 57\/(-15))*(2 - (-16)\/72). Is -773 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -233*x + 1171. Let p(d) = 39*d - 195. Let k(s) = -39*p(s) - 6*y(s). Find the first derivative of k(h) wrt h.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/1 - (-5 - -7). Let w(h) = -h**2 - 9*h + 2. Let r be w(-9). Solve r*v - 3*v = i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 120110011211120022?\nAnswer: 120110011211120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -6.9 and -25395702528?\nAnswer: 25395702521.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -17.981. Let h = 1.869 - f. Let c = -2.1 + h. What is c rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195801 at most 1370608\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -535, -2053, -4547, -8017?\n\"Answer: -488*z**2 - 54*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210 = 3*f - 4*k - 199, 4*k - 4 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)\/m*m*(m*m**(-1\/2)*m)\/m*m)**(-1\/14) assuming m is positive.\nAnswer: m**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1, -6, -1, 4 in ascending order.\nAnswer: -6, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10934921 and 2684?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 917*d - 245 + 1162 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -328470 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(68) + 1) - sqrt(68).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.4, 2\/19, 0.2, -1 in decreasing order.\nAnswer: 0.4, 0.2, 2\/19, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.2 - -6.96. Let s = -2.76 + q. Let u = 12 - 8. What is the nearest to s in -4, 2\/5, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 - 9*g - 118 + 2*g**2 + 9*g - 3*g**2 in the form t*g + j*g**2 + w and give w.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 483.00000212 - 483. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 109841988 and 27460497?\nAnswer: 109841988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 3. Let r(y) = y + 1. Let m be r(-1). Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -698*u**2 + 2*u - 2*u - 2 + 749*u**2.\nAnswer: 51*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6155 (base 11) to base 6.\nAnswer: -101451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5256 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 13*h**2 + 6*h + 7. Let c be t(12). Suppose -i - z - 138 = 0, -2*z + 126 = i - 2*i. Let d = i + c. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 + 21*i**3 - 15*i**3 - 19*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236615?\nAnswer: 5, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*v - 107*v = -220. Suppose -8*n + v = 3*n. What is the closest to 0 in n, 2\/5, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -16) + -147 + (223 - 40).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n - 0*d - 2*d, -3*n + 2*d = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) + (sqrt(480)\/sqrt(32) - sqrt(60)))\/(6*-1*sqrt(12)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1081*t**4*z**3 + 48*t**3*z**3 - 2*t*z**2 + 71704*t + z**3 wrt t.\nAnswer: 12972*t**2*z**3 + 288*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.12 + 0.18. Let s = -7.06 - -7. Which is the third biggest value?  (a) g  (b) -2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-2)*(-5)\/(30\/3688). Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17+-55\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 328 or 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 111*k**2 + 1379*k - 8. Determine z(11).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*m + x - 4, -6 = -2*m + 2*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27853\/6 - 4632. Calculate the common denominator of q and 35\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(2\/13)))**34*g**(2\/9)*g*g\/((g*g**(-10))\/g)*g assuming g is positive.\nAnswer: g**(935\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-8 - -27) + -7 + -18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.69 times 0.1?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 18*b**2 + 21*b - 7. Is z(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g**2. Let f(i) be the second derivative of i**4\/12 + 48*i. Calculate j(f(l)).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-231)\/((-495)\/15))\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3093, 3097, 3101?\n\"Answer: 4*n + 3089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 44*a - 25. Let i be g(24). Find the common denominator of i\/21 + (-2)\/7 and -25\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 61057, 0, -15 in increasing order.\nAnswer: -15, 0, 4, 61057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8 + (-833)\/(-518) + (5 - -1) and 50\/9?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-41 + 103 + -69)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**3\/3 - 6*n**2 - 6. Let w be r(-12). Solve -13 - 7 = -5*d, -3*o - d - 2 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 3*r = 54. Let p = r - 13. Solve -c + 2 = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-336)\/(-32)*2*2\/(-4)*132\/(-33).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ratr when four letters picked without replacement from rrttoatrotootaar?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 254026075?\nAnswer: 5, 2777, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 127268215913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 2 + w**3 - w**2 + 0*w**3 + 2*w**3 - w + w + (2*w**2 - 2*w**2 + 2*w**2)*(-5*w + 3*w + 0*w) + 0*w**3 - 3*w**3 + w**3.\nAnswer: -3*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1  (b) 3  (c) 0.27  (d) 6  (e) 4\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134781 is divided by 288?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 16 = -0*j. Suppose f - j*k = -0*k + 25, 20 = -f - 5*k. Suppose -3*s + 5 = -2*s. Calculate the greatest common divisor of f and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13919, 27851, 41797, 55757?\nAnswer: 69731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 187929 and 627?\nAnswer: 2067219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(242) + -1.\nAnswer: -1 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20\/15*((-4617)\/(-2))\/3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 748 is divided by 122?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-6)*3 - -1. Let x(v) = -v + 7. What is x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -j + 30, -3*p = 3*j - 5*j + 45. Let g(q) = 68*q**2 + q. What is the remainder when g(1) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.882375 millennia in years?\nAnswer: 4882.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - (8 + -38)*(-1 + (-21)\/(-15)). Solve -5*l + d = 5*p, 2*l + 3*p = -2 + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 5*a - 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -134a72 - 9?\nAnswer: -134a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 4*g**2 + 356*g - 79104 = 0.\nAnswer: -192, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/(-27) + 1\/3. Let y be (p + 3)\/(4 + -5). Let i be y\/(-3 - -4)*-5. What is the highest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -189 divided by -7\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**3 - 6*i**2 + 4*i - 31. Suppose -2*p - 4*a = -32, p - 3*a + 29 = 3*p. What is the remainder when d(4) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d + 10. Let a(c) = -4*c - 481. Let s(n) = 4*n + 402. Let j(i) = 5*a(i) + 6*s(i). Give 8*j(y) - 5*m(y).\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -320 divided by 1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 122*l + 45. Let m(b) = -75*b - 29. Let q(i) = 8*m(i) + 5*p(i). Determine q(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181350 divided by 2015?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26157 + -18404. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -24, 3, 31262?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3677782009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 1 - 1)*(g**3 + 3*g + 0*g - g).\nAnswer: -2*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5 + (sqrt(75) + -2 + sqrt(75)*-1 + 4 + (sqrt(75) - (sqrt(75) + 1)) + sqrt(75) - (-3 + sqrt(75)*2 + 6*(sqrt(75) - 2*sqrt(75)))))**2.\nAnswer: -50*sqrt(3) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2455.968 minus -0.00201639?\nAnswer: -2455.96598361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**3 + 10 + 10 - 28 - 110*n**2 + 8 to the form i + h*n**3 + s*n**2 + x*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 1, n: 4, g: 2, u: 2, y: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1852208, 7408763, 16669680, 29634953, 46304576, 66678543, 90756848, 118539485?\nAnswer: 150026448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 22659242 * -0.3\nAnswer: -6797772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 16 = -9*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 33 = -2*q - 14, 0 = q - 3*y + 26. Let z(x) = 5*x. Calculate z(q).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4 = -34. Suppose r = 2*n + n. Solve n*c + 2 = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -13*h - 10. Let t be j(-5). Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -156\/29?  (a) -1  (b) -4\/7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 9. Suppose -175 = -5*z + b*z. Let c = -15 - z. What is the greatest common divisor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13546 - -13555. Calculate the remainder when (-2)\/(-4) + 41\/2 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/8 - 18\/8. Find the common denominator of 87\/8 and (2\/(-72))\/(x\/(-318)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eaeeeeeeeeeee. What is prob of picking 1 e and 1 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 37747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 38*k**2 + 4*k + 16. Let c(i) = 87*i**2 + 9*i + 38. Let p(f) = 7*c(f) - 16*g(f). Calculate p(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*k - 418*k = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2488015 - 2487925 = -30*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57 - -55. Let n(d) be the second derivative of d**5\/10 + d**4\/4 + d**3\/6 + d**2 + 5*d - 31. Give n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -12200200022?\nAnswer: 12200200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(9\/2)*p*p)\/p)**(-32) assuming p is positive.\nAnswer: p**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 401588932 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1423515 - 320291954\/225. Let o = u - 19\/25. Find the common denominator of o and -59\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 6017?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 20*q + 7. Determine c(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-3))\/(4*(-52)\/24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 119\/118?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/700 and 133\/600?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-173 + 358 - 864 - 819)*(-v**2 - 3 - 3 + 4).\nAnswer: 1498*v**2 + 2996","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a + 1. Calculate i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + -1 + sqrt(68) + 0 + sqrt(68)*-1)**2 + (((sqrt(68) + 1 - sqrt(68)) + sqrt(68))*4)**2 + -4*(sqrt(68) + 2).\nAnswer: 56*sqrt(17) + 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**5\/30 + g**3 - 11. Let d(q) be the third derivative of n(q). Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-11*p + 29*p + 7*p) + 4*p - 2*p + 4*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2413914 and 92.9.\nAnswer: 2414006.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 300620 and 390806.\nAnswer: 3908060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 9*k - 15. Suppose 0 = k*j - 4*j - 7. What is the lowest common multiple of j and (-2 + 1)\/((-4)\/112)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of l**7\/2520 - l**6\/1080 - l**5\/360 + l**4\/72 + l**3\/6 + 9*l**2. Let t(y) be the first derivative of q(y). Factor t(d).\nAnswer: (d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84, -167, -250, -333?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -901*m - 915*m - 948*m - 21 + 3762*m - 890*m as d*m + t and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 0. Let w(b) = -4*b**2 + b - 2. Let m be w(n). Let k = 22 + m. Solve 3*v = -k - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40 by -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k**2 + 3*k**2 - 38*k - 11 + 18*k + 8*k. Let b be m(13). Sort -4, b, 5, -8.\nAnswer: -8, -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19 equal to 160840\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -63, -63, -73, -99, -147, -223, -333?\n\"Answer: -m**3 + m**2 + 4*m - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04136 - 0.850891.\nAnswer: -0.809531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + (-7 - (3 - 16))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1850 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6421, 6787, 7153, 7519?\nAnswer: 7885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5532487217 and -6.\nAnswer: 5532487211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 5  (c) 125  (d) -1\/3  (e) -22  (f) 1\/3  (g) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -5 + (7 + 0 - 3) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-532)\/38)\/(1*-1). Solve -3*a - p*a = 85 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, 4, 11623\/4?\nAnswer: 11623\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 789\/308 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 13 + -7 + 3 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45*l**2 + 89*l**2 + 62*l**6 - 11*l - 43*l**2 wrt l.\nAnswer: 7440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 582 = 40*r + 1502. Suppose 0 = -k - 8 - 12. Let o = k - r. Solve -2*h - 3*h - 9 = -4*f, 2*f - 7 = o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 420 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w**3 - 2*w - 1. Let o be z(-1). Let q be o\/14 + (-1214)\/(-14). What is the tens digit of 2\/(-5) + q\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.013287 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/293850 and 7\/8.\nAnswer: 1175400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**4 + 2*n**4 + 2*n**4 - n**4 + 3*n**4 - 3*n**4 + (n - n - 3*n**4)*(3 - 6 + 2) - 5*n**2 + 2*n**4 + 5*n**2.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-6)\/((-2)\/1). Suppose 0 = -t - 11 + 8. Let o = 7 + t. What is the smallest value in -1\/6, o, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 26*l - 11. Let r(c) be the third derivative of 13*c**4\/24 - 5*c**3\/6 + 7*c**2. Let z(n) = 2*i(n) - 5*r(n). Differentiate z(h) wrt h.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -19*f + 9. Let g(i) = 18*i - 8. Let w(c) = -5*g(c) - 4*z(c). Differentiate w(k) wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.11 + -0.11. Let x = 11 - r. Suppose -3*q = -0*q. What is the second biggest value in -1\/7, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 + 0.3. Let r = 60\/7 - 9. Let b be 16\/(-12) - 4\/(-6). Put j, b, r in increasing order.\nAnswer: b, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32\/7 in -3, 1\/7, -4, -6\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.24 + 0.24. Sort 3\/8, p, 2\/51 in decreasing order.\nAnswer: 3\/8, 2\/51, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 39344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 0.11237?\nAnswer: -5.11237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3)*-419*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmuuuum. Give prob of picking 3 u and 1 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 336*c**2 - 166*c**2 - 22*c + 22*c - 168*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*p**2 + 14*p**2 + 15 - 16)*(-7 + 7 + 3*p + (-1 - 3 + 6)*(4*p - p - 2*p)).\nAnswer: 25*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9448 - -23291. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4*(2\/(-4))\/1. Let b be ((-6)\/24)\/(y\/8). What are the prime factors of 3 + (-3 - b*-34)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 72. Let z = t + -17. Suppose 0 = z*a - 21*a - 1. Is a >= 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 81680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1699039222 to the nearest integer?\nAnswer: 41219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.23 - 22.23. Let a = p - -19. Let w = a + 3.1. Sort w, 1\/3, 7 in ascending order.\nAnswer: w, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d - 1. Let l(c) = 4*c + 1. Let h(u) = 5*l(u) + 3*t(u). Let n = 1 - 1. Let b be h(n). Solve 4*z + v = -z + 16, 2*v + 4 = b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 1346832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 53*k + 1114. Let o be z(-21). Sort -1, 21, -4, o.\nAnswer: -4, -1, o, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (41746\/(-14))\/(14\/(-12)). Let k = 2556 - x. Let n = k + 319\/196. What is the common denominator of -28\/9 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(720) + 3*sqrt(720) + -2) - (0 + 1*sqrt(720) + (sqrt(720) + -1 + sqrt(720))*-1))*-4)**2.\nAnswer: -40320*sqrt(5) + 2592784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) -0.2  (c) -4  (d) 3\/4  (e) -1\/1458\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -0.3  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 7 = -2*y + 75, 5*w = -2*y + 112. Suppose 3*g = g + w. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 9*m + 10. Let n be u(8). Let y be (326 - n) + 0 + 1. Suppose 0*w + 5*w - y = 0. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4979.754 months?\nAnswer: 0.4149795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnnnennnnnn. What is prob of picking 3 n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**7\/c*c**(-1))\/(c**(-2\/7)*c*c)**(-16\/3))\/(((c\/(c*c**(-2\/3)*c*c*c))\/c**3)\/(c**(6\/5)\/c**(2\/21))) assuming c is positive.\nAnswer: c**(2266\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 124392228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18105*i - 5*x = -18108*i + 95, 5*i - 165 = 15*x for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*o + 3. Suppose 16 + 14 = o*q. Suppose -2*w - 2*x + 6 = -4*x, 0 = -5*w - 5*x + 45. What is the remainder when q is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + n**3\/2 - n**2\/2 + 2*n. Let s(f) be the first derivative of l(f). Differentiate s(t) with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + -9c?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 5*i = -58, 0*i + 37 = 2*u - 3*i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 680\/20 - (-1 - -12). Solve -4*d - 6 = -5*w, -18 = 5*w - 21*d + g*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -577409072 + 577409132.00000034. Let d = 59.97 + 0.03. Let q = s - d. What is q rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 4*o - 20821, -8470 = -3*t - 2*o + 4021. What is the highest common factor of 57 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 0  (b) -5  (c) 0.2  (d) -0.464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 + 19. Let x = -22 - -62. Let o = -24 + x. Calculate the remainder when o is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4417?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6 = -22. Suppose -9*p = -y*p. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -16*g**2 + 34*g + 173. Let s be h(-6). Let j = 609 + s. Solve j*v + r = v, -3*r + 6 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - y**2 - 6*y - 5. Let q = 35 - 18. What is the remainder when b(5) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4438841573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u - 3. Let h(p) = p**2 - 14*p + 7. Let c be h(13). Let a be f(c). Solve 2*j = a*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*n**2 - 200704 - 448*n.\nAnswer: -(n + 896)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 23 = -5*q - 233, 3*f = 0. Suppose 0 = -2*w - 6 - 0. Let p be (-7)\/(q\/24) - (w - -1). Solve -2*t + p*t + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5)\/u)**(5\/6)\/(u\/(u**0*u)*u**0*u)*((u\/u**(-1\/3))\/u)\/(u**(2\/13)*u*u)*u\/(u\/(u*u**(1\/2)\/u))*u**(-3) assuming u is positive.\nAnswer: u**(-253\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 5:20 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + q**2 - q - 121. Let l be i(0). Let t = -967\/8 - l. Put 1\/6, t, 2\/5 in descending order.\nAnswer: 2\/5, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 403726, 3229848, 10900744, 25838800, 50466402, 87205936, 138479788, 206710344?\n\"Answer: 403731*k**3 + k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12812*p + 6408*p - 10*p**3 + 6404*p.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 24 = -3*u, 5*j + 11 = -5*u - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/80 and -63\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 16371, 16740, 17127, 17532?\n\"Answer: 9*k**2 + 342*k + 16020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -4*z, 3 = 59*x - 58*x - 4*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85223324 is divided by 1697.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 318136867 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 920005338 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 74808140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64 and 259508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -277.78 - -278. Put -1\/2, 1\/3, -4, b in increasing order.\nAnswer: -4, -1\/2, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 244, -11, -37 in ascending order.\nAnswer: -37, -11, 1, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, 0, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1929 + 1932. Let x be 2 + 0 - (-8 + 8). Suppose -4*c = -4*i + 20, -2*c - 20 = x*c. What is the nearest to i in w, 2\/13, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**2 - 3194*o - 3196 = 0.\nAnswer: -1, 1598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/5 + 2626576*x\/5 - 1050632.\nAnswer: 2*(x - 2)*(x + 1313290)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2\/3)*b)\/b)\/b**(-6)*b**3*b**(-5\/6)*b)**(1\/14) assuming b is positive.\nAnswer: b**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, c: 1, h: 1, s: 1}. What is prob of picking 1 h, 1 t, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10110011001001011000 (base 2) to base 3\nAnswer: 1101021120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3455 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -218936309*p**3 - 302180*p**2 + 8 wrt p.\nAnswer: -1313617854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280, -2868, -10076, -24214, -47592, -82520, -131308, -196266?\nAnswer: -279704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-seven quarters of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14414\/495 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -10*y - y**2 + 0*y - 5 + 1 - y + 5*y. Calculate n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 111957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -22*u**2 + 22*u - 16. Let y(q) = 147*q + 144*q - 5 - 7*q**2 - 284*q. What is -5*v(x) + 16*y(x)?\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(1539)*-3 + 2.\nAnswer: -27*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.446 + 3.36723. What is u rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64770, -129431, -194092?\nAnswer: -258753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnddddndddnennenn. What is prob of sequence ndn?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -520835 divided by -161?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 46866.2 milliseconds?\nAnswer: 46866200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -18*l**2 - 5*l - 2. Let d(y) = -1 + 1 + 3 + 24*y**2 + 3*y**2 + 8*y. Let q(j) = -5*d(j) - 8*z(j). Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2*t = -26. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -71\/3 + 23. Let u = -3 - -3.1. Which is the third biggest value?  (a) 4  (b) i  (c) -2  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(68) + sqrt(68)*-2 + sqrt(68))*1)\/(sqrt(192)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -313 (base 7) to base 14\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 34*g - 22*g - 16*g - 1. Let y(j) = j. What is -f(v) - 2*y(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5935*74\nAnswer: 439190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8485 - 2037*x - 8485)*(-2 + 2 + x).\nAnswer: -2037*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d**2 + 7*d + 13. Let r(a) = -6*a**2 - 7*a - 14. Let q(b) = 4*o(b) + 3*r(b). What is the remainder when 27 is divided by q(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t - 10. Let p(u) = -127*u. What is p(r(g))?\nAnswer: -254*g + 1270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -93.32  (b) 1\/12  (c) 26.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11313, -22619, -33907, -45165, -56381, -67543, -78639?\nAnswer: -89657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -10 - 34*1807\/(-13) is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 16. Let j = 5 + z. What is the closest to 1 in 0, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 12. Is (-2 + (-8)\/(-3))\/(c\/64335) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*r - 228 = 0, 5*n = -3*r + 325 + 264. Calculate the highest common factor of n and 3808.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1118)\/(-8) + 9\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 24. Suppose -c = -u + 28, 0 = -3*u - c + 114 - f. Let b = 50 - 33. Calculate the remainder when u is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/63 - 18\/(-14). Let u be 0 - 28\/(-20) - p. Let j = -98 - -98. Sort j, -0.17, u in descending order.\nAnswer: u, j, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06289 - 807322.2\nAnswer: -807322.13711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.052 + -58.948. Let o = 63 + s. Which is the biggest value?  (a) 0  (b) o  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -45*w + 33*w + 60. Let q be 1\/4 + 18\/(-8). Let k be -1 + 2\/q - -5. Sort -3, w, k in ascending order.\nAnswer: -3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10, k: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o + 4*j + 15, 7*o - 5*j = 4*o + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -1 - v**2 - v + 0 + 0*v + 2*v. Let k(q) = -3*q**2 - 5*q + 3*q**2 + 8*q**2 + 4. Let u(t) = k(t) + 5*o(t). Find the first derivative of u(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + 1. Let s = 10 - y. Let t be (-1 - s)\/(-2 - 0). Which is greater: t or -1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85372 = 30*q - 83482 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4812 = 3*j, 7*x - 3*x = -4*j + 6424. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 14, x: 4}. What is prob of sequence gx?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 401 - (-2 + -4) - -4. Let n = 377 - b. Which is smaller: n or -30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 978 + -974. Suppose -3*d - d = -8. Suppose -4*p - 5*y = -43, 0*p - z*p - d*y = -34. Solve -5*h + 0*r - p = 2*r, 7 = -3*h - 4*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**4 - 860*y**3 + 4344*y**2 - 2628*y - 7830 = 0 for y.\nAnswer: -435, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dvmwfdfvqdv. What is prob of picking 2 f and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*t - 304 = 0, -2*j + 75*t = 76*t + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -o**2*v - 19*o**2 + 790*v wrt o?\nAnswer: -2*o*v - 38*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 2, 17, 48, 101, 182, 297?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -a - 12, 19*f = 2*a + 16*f - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*2\/20*1\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -170 (base 13) in base 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6678 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*f, -2*t - 3*t = 2*f - 12. Solve d = -t + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t + 45. Let o be r(9). What is the least common multiple of 4 and 1 + o - (-7)\/(63\/171)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 83 and 3?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuupupuspihiuhihuz. Give prob of sequence iu.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6752 (base 14) to base 6\nAnswer: 214524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115460 = -7*c - 44802. Is c a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + h + 2*h = -8445, 0 = -h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 8*i - 10. Let w be b(-4). Let o = w + 44. Suppose o*m = -m + 3*x - 3, 2*x = 4. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iydx when four letters picked without replacement from dzixiyx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/3?  (a) -3\/5  (b) -24  (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*n**3 - 476*n - 227*n + 703*n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -c - 1\/12*c**4 + 2\/3*c**3 - 2*c**2 + 0. Factor j(u).\nAnswer: -(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-198)\/(-15))*16\/20?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.7 + -90.7. Let h = -72 - u. Which is the closest to 1?  (a) 7  (b) 4\/5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times -0.0296?\nAnswer: -0.1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-13958)\/2415 - (-25)\/((-17250)\/(-60)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 66 - 44. Let j be 2*(-3 + g\/4). Let o be 314\/j - 5\/(-25). Calculate the highest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2216160294?\nAnswer: 2, 3, 113, 1433, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1d804 (base 14) to base 10\nAnswer: -75660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 5*k - 143. Calculate the remainder when 1*-10 - (-610 + 168) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*d**4 - 6 + 6 - 2*d**2 + 8*d**3 + 3*d**4 to the form p*d**3 + l*d**2 + w + t*d**4 + f*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9555630, -9555677, -9555744, -9555825, -9555914, -9556005, -9556092?\nAnswer: -9556169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 2:44 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -43\/503404 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u - 54 = 15. Put -14, u, 5 in decreasing order.\nAnswer: 5, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20337663 divided by -67121.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3308 * 1.1.\nAnswer: 3638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 5 - 9. Suppose c - k = -3. Is c greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -177473, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -484292, -968595, -1452914, -1937249, -2421600?\nAnswer: -2905967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/15)*m\/m**26)\/(m**(-17)\/(m**(4\/19)*m*m)) assuming m is positive.\nAnswer: m**(-1688\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttktttkkttk. What is prob of sequence kktk?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-890)\/8*16\/(-10) + 13. Solve -q = -s - 193 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1)\/d)**15\/((d*d**(2\/7))\/d)**(-19) assuming d is positive.\nAnswer: d**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 2463321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 7 + 0)*(-n**3 + 0 + 0) - 6*n**3 + 0*n**3 + 9*n**3 + 7 as x*n**3 + h*n + k*n**2 + o and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19152302 and 10?\nAnswer: 95761510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus -523.88?\nAnswer: -522.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150 + 34 + 59 - 16*m + 57.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2*k**3 + 2 - 3 + 3 - k**3 + 8*k - 5*k**3 - 8*k + (3*k - 3*k - k**2)*(3*k - 5*k + k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 0*x = -x - 15, 3*p = -3*x + 75. Is -3 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 7*f**2 - 49*f + 57. Let g be n(11). Solve g*w = -3*h + 10*h + 31, -3*w = 4*h + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 - 1212?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjssjjjjjsssjj. What is prob of picking 2 s?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40 - -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**3 - 2*v**2 - 3*v + 2. What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 10 = 3*d. Let u be (0\/(-2))\/(7 - (d - -4)). Sort -3, u, 5 in increasing order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32\/20*(24 + 1). What is the common denominator of 45\/16 and 0 - -2 - (-244)\/f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5611*u**3 - 374*u?\nAnswer: 33666*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5*1\/2*12\/210*-7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 825321979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, b: 1, v: 4, g: 1, c: 2}. What is prob of sequence bc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2 - 3 + 3)*(-4 - 1 - 3).\nAnswer: -16*v - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*y - 11*y = -56*y - 737 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -65*y**2 - y. Let i(u) = 12*u - 10. Let w(l) = -7*l + 6. Let d be (2 - -7 - -1)\/(18 - 16). Let s(z) = d*w(z) + 3*i(z). Determine a(s(m)).\nAnswer: -65*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 378*c + 1653 = 291*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (329*c - 603*c - 46*c - 397*c - 493*c - 84*c)*(-4*c**4 + 4*c**4 - 10*c**4).\nAnswer: 12940*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*(-3 - (-2 + 0)). Let l(x) = x**2 - 76*x + 666. Let h be l(10). Solve h*u = g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 4*d - 3, 2*d + 6 = 2*f. Solve 10 = 4*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 50\/11  (b) -0.1  (c) -5\/6  (d) -2  (e) -205\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2385423 divided by 475.\nAnswer: -2385423\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.296 and -1.4837?\nAnswer: -0.4391752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2058 + 4099 + 2*s**2 - 301*s - 2044 to the form h*s**2 + t + v*s and give v.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = 177 + 103. Let t be ((-28)\/a)\/((-7)\/5 + 1). Solve -3*k = -4*x, 2*k - t + 1 = 3*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -14.628\nAnswer: -43.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165 + 277 + 336 = 389*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 2 + 30\/(-9). Let c(w) = -w**2 + 15*w - 1. Let q be c(15). Is l not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2031033233 (base 4) to base 14\nAnswer: -110ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -9592*n**3\/21 + 2482*n**2\/3 + 3608*n\/21 + 8\/7 = 0?\nAnswer: -2\/11, -3\/436, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -39, 5, -928336 in descending order.\nAnswer: 5, -7, -39, -928336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.8 + -0.3. Let t = 7 - 9. What is the nearest to -0.1 in l, t, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2359921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -333 + 2?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, r: 3}. What is prob of sequence nnrn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -1254*r - 64. Let a be l(-10). Let o = a + -363. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 560*b + 2\/3*b**3 + 600 - 118\/3*b**2.\nAnswer: 2*(b - 30)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 - -639\/7. Is s equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**36*u\/((u*u*u\/u**(-2\/15)*u*u)\/u*u)*u*u*u\/((u\/(u*u**(-5\/4)\/u*u*u*u*u))\/u) assuming u is positive.\nAnswer: u**(2257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -2 + 57 + -4 - -28\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t - 28. Suppose 5*s - 18 = -2*n, -5*n + s = 3*s - 3. Let g(j) = -2*j. Calculate n*g(y) - p(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 + 3*c**4 - 3*c**2 + c**2 - 5*c**4.\nAnswer: -2*c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.7 - 0.7. Let p = b - 6.1. What is the nearest to p in -1, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1478.7 in -1\/8, -185, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -0.0849, 1\/5, -0.0258?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -364*j = 97*j + 2305 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/3 + 1 + 1. Let f be (4 - 2)\/(-12)*-3. Let q = 0.07 - -1.93. What is the closest to b in f, 0.4, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2571660 = -20*x + 2572420 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188273298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 17. Suppose 6*h = 3*h + k. Let s = 6 + h. What is the remainder when 32 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -299 + 7472\/25. Let t = 309\/700 + f. What is the common denominator of ((-51)\/(-9))\/((-14)\/(-3)) and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-8 + (-99)\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, p: 2}. Give prob of sequence hhph.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 6 + 4. What is the smallest common multiple of 7 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-429)\/77 - (-3)\/(-7). Let h be (-102)\/(-13) - u\/39. Suppose 0 = g - w - 7, 0 = g + 2*w + 5 - 0. Solve -3*p - s - 16 = 0, -g*s = -h*s - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - n**2 - n. Let g = -12 - -11. Let k be z(g). Suppose 0 = 4*h - 7 - k. Solve -4*t - 5*u + 29 = 0, -h*t - u + 4 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -205523, -410379, -615235, -820091?\n\"Answer: -204856*z - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/9)\/(2\/6). Let v be (-1)\/d - 20\/2. Let r = v - -21. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 3*j - 14 - 38, j + 4*b = 28. Suppose 4*k + 0*f - 4*f = -j, 4 = f. Solve 5*p + k = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/15444 and -61\/1140584.\nAnswer: 4403794824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -27267  (b) 3\/4  (c) 0  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3026  (b) -0.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from {x: 2, b: 1, f: 2, o: 4, w: 2, z: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and -11700584.\nAnswer: -11700584.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -233765\/214414 - -36\/2281. Calculate the common denominator of 48 and n.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -13*l. Suppose 5*s - 6 = -1. Let x be 3 - 7 - (s + -4). Give c(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158536442 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 hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6677022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 369 or 1?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 522 (base 8) to base 10\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/54 + 119763\/(-7938) + 14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5591 is divided by 5506?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-13)*p**3)\/(p*p**(-2\/13)\/p)**12 assuming p is positive.\nAnswer: p**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r + 3. Suppose 3*j = -15, -9*y - 5*j = -6*y + 202. Let h = 88 + y. Let n = 22 - h. What is l(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + (1*sqrt(70) - sqrt(70))*1)\/sqrt(10))**2 + (1 + sqrt(112))**2 + 3.\nAnswer: 8*sqrt(7) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pjbk when four letters picked without replacement from jjcpckjcjbjccccb?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {a: 3, v: 3, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 118647 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/2)*q\/(q**12*q))\/(q\/(q**(-3)\/q))**(1\/12) assuming q is positive.\nAnswer: q**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (39\/((-33852)\/(-155)))\/((-30)\/(-36))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (-37 + 13) - (12 - (-5 - -10))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-2*(5 + -1 + sqrt(208) + sqrt(208))**2 - (4 + ((sqrt(208) - sqrt(208)*2) + sqrt(208))**2*-2 + -5))*2.\nAnswer: 1280*sqrt(13) + 16962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2\/15, -2, -0.023, 5 in ascending order.\nAnswer: -2, -2\/15, -0.023, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5829 + 20*c**2 - 5829.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) -0.48326  (c) 5  (d) 4  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 14*j. Solve -u + 1 - 4 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a - 8. Let k be o(3). Suppose 2*n - 202 = -4*l, -2*n + k*l + 263 = n. Calculate the remainder when n is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**3 - 17*s**2 + 21*s + 14. Give z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 8, -13102, -2 in ascending order.\nAnswer: -13102, -2, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2 + 532*t + 17837. Determine i(-39).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and -2910.4.\nAnswer: -2910.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 22 = -2*y, 0 = 4*a - 5*y - 106 + 65. Calculate the smallest common multiple of 7 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-40) + 88\/440.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 41382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllklkl. What is prob of picking 2 k and 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*h - 5*y, 3*h = -5*y - 5 + 2. Which is the closest to h?  (a) 4\/5  (b) -5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2655722 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + ((-2)\/9 - 172\/36). Suppose 0 = g*m + 2, -m - 4*m + 140 = 5*z. Let k be 582\/4 - 5\/10. Calculate the greatest common divisor of k and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3  (b) -73  (c) -0.2  (d) -0.4  (e) -0.01  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b\/(b**(-14)\/b)*b)\/(b**(-9\/2)\/b*b) assuming b is positive.\nAnswer: b**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 4, u: 1, h: 2, m: 3, z: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wwywpytpptwpp.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 49\/11 greater than -1014\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 27 = -12306*m + 12302*m, 5*c + 2*m + 17 = -2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 17*d**2 + d. Let h be q(1). Let b be 4\/18 + 338\/h. Let n be -2 + (-6)\/15*-5. Solve n = -5*m - 1 - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, j: 2, k: 1}. What is prob of sequence tj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-203)\/(-14) - 2\/4. Suppose 2*h - 2 - u = 0. Solve 0*i - 2*i = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2214 (base 5) to base 10.\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 4*u - 32, 0*u = 4*t + 5*u + 13. Solve 3*a + 3*h = -t, 4*h = 2*h + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, -1\/60, -6\/11.\nAnswer: -4, -6\/11, -0.3, -1\/60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000197630819 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, b: 12}. What is prob of sequence xbbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 1. Calculate the least common multiple of (-5 - -6) + (y - 0) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oykomoomyyomkyy. What is prob of sequence oyy?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 4:54 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1297.4 and 3?\nAnswer: 3892.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 3:11 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/10 and 71\/1784?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 784086024 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336386 is divided by 1160.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 50*s - 1. Suppose -2 = 5*x + 2*z, -4*x + z = -2 + 1. Suppose -3*t - 3 = x, -3*t - 3 - 1 = -y. Is j(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 123*p**2 + 146*p + 14. Let w(r) = -62*r**2 - 74*r - 7. Let q(n) = 3*l(n) + 5*w(n). Is q(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r + 49 = 2*k + 17*r, -2*r = -3*k + 26. Solve 18*s - k*s - 24 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4969, -9956, -14941, -19924, -24905?\n\"Answer: g**2 - 4990*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - c**2 - 5*c + 4. Let p(y) be the first derivative of y**2 + y + 3. Let o be p(1). Let j be (o\/(-6))\/(3\/(-18)). What is i(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -y**3\/6 + y. Let w(d) be the first derivative of -13*d**3 - 1481. Determine w(i(r)).\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 567*f**2 - 11111*f + 12976. Determine k(-586).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/13090 and -107\/3740.\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17383 divided by 19?\nAnswer: 17383\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 919.23.\nAnswer: -459.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*z**2 + z**3 - 8 + 37*z**2 + 33*z**2 to l*z**3 + a + v*z**2 + y*z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2 + 0 = 0. Let k(l) = -35 - 2*l - f*l + 18. What is the units digit of k(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-653)\/93 + (-105)\/(-15). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 3) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17205 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208574.\nAnswer: 2, 104287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43\/(645\/(-330)) + 24846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from wwswwwwswwwswwswswww?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 + 113. Suppose -p = p - z. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295320 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -u + 13, -2*b = -3*u - 4*b + 31. Let r(k) = k**3 - 6*k**2 - 5*k - 9. Let t be r(7). Let f = u - t. Let z(a) = -a - 2. Calculate z(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + h**5 + (3*h**3 - 3*h**3 - h**3)*(0*h + 0*h - h)*(6*h + 8*h + 18*h).\nAnswer: 33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1572175?  (a) 0.5  (b) -3\/4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 10*d + 165. Calculate r(-9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*d + 41*d - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/25 - 3\/(-6). Let k = 1\/70 - d. What is the closest to 4\/9 in -4, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 12*l**2 - 15*l - 5. Let x(a) = 10*a**2 + 3*a + 1. Calculate -b(s) - 2*x(s).\nAnswer: -32*s**2 + 9*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 11102 times -0.1\nAnswer: -1110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 + 82. Suppose -w*r = -32*r - 60. What is the third smallest value in r, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -1 - (-160 + 87 - -74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*(sqrt(784) + sqrt(784)*4) - sqrt(784))\/((sqrt(72) - (sqrt(72) + -3*sqrt(72)*-5))\/sqrt(9)).\nAnswer: -112*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/6)\/(6\/(-9)). Calculate the common denominator of a\/3 - (-1270)\/(-660) and (36\/24)\/(12\/(-98)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 1 = 11. Suppose d*r - 3*r = 7. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r - 2. Let x be m(-4). Suppose -f = -x*f + 20. Solve -2*n = 4*c - 6, 7*c - f*n - 40 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2143*h - 53504. Give o(-25).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -215  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.6  (b) -49  (c) -460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(55)\/((sqrt(245) - sqrt(245)*-3) + sqrt(245) - sqrt(245)).\nAnswer: -5 + sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -94 + 93. Let j be (387\/18)\/(a\/(-2)). Suppose -232 = -v - j. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -151*l**2 + 56*l**2 + 65*l**2 + (-2*l - 2*l + l)*(2*l + 2*l - 5*l).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 + 595\/20)\/(10\/8). What is the highest common factor of 2983 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7497790 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 13 = 2*s, 0 = -5*q - 5*s + 3*s + 27. Suppose q*i - 85 = 5*a, 13 = -a - 4*i + 3*i. What is the units digit of 5\/a + (-8)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -221000 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(729)*2*3 - 6*(2*sqrt(729) + sqrt(729)))\/(-3*(sqrt(324)\/sqrt(6))\/sqrt(2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 4:07 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 183*z**2 + 181*z**2 - 361*z**2. Let t(o) = -o - 5 - 12 + 7*o. Let y(b) = -b + 3. Let j(k) = 6*t(k) + 34*y(k). Calculate n(j(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -221111 (base 3) in base 2?\nAnswer: -1010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1091 divided by -13.\nAnswer: 1091\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of j**8\/896 + j**7\/70 + 5*j**6\/64 + 19*j**5\/80 + 7*j**4\/16 + j**3\/2 + 4*j**2. Find y such that o(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 166894, 333811, 500728?\nAnswer: 667645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-18 - -14)\/(2\/(-1)). Suppose 4*j + 2*x = 1806, -5*j + 1351 = -2*j - i*x. What is the greatest common divisor of 41 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 22 + 1 + 1 + -2. Suppose 0 = -7*o + 83 + 1. Let v = m - o. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 3 - -3 - 1 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/6 and -50\/8881211?\nAnswer: 53287266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 501317467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*o**2 + 83*o**2 - 29*o**2 - 29*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -87.2 and -3.535?\nAnswer: 308.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 - -2bc?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*i**2*r**2 - 3846*i**2*r + 48*i*r**2 + 210*r**2 wrt i.\nAnswer: 8*r**2 - 7692*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 82994 and 1020?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand d + 20 + 32 - 2 + (-4 + 5 + 0)*(-d + 2*d - 2*d) - d + 2*d - 4*d + (-2 + 3*d + 2)*(-5 - 5 + 4) - 2 - 1 - d + 2.\nAnswer: -22*d + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5082059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -6*o + 29. Suppose 11 = 5*m + g, -4*m - g = -m - 5. Suppose -o*q - z = -m*z - 157, -1 = z. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.220135 and 0.5.\nAnswer: -0.1100675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4891004017 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/3, 23.4.\nAnswer: -3, 1\/3, 23.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9055 - -0.0055. Which is the second biggest value?  (a) q  (b) 2\/7  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341a (base 16) in base 8?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 542868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -2\/17, -3, -14, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*((n*n*n*n**(1\/20))\/n)\/n*n)\/n**(-7\/3))\/(n\/(n\/(n\/((n\/n**(-1\/2))\/n)*n*n))*n**(2\/13)\/n*n))**(-39) assuming n is positive.\nAnswer: n**(-2129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) 5  (c) -1536  (d) 3\/2  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 68*r**2 - 61*r - 420. Give g(67).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*a*g**3*w**3 - 179498*a*g**3 - 23066*a*g**2 + 39*a*g*w**3 + a*w**3 + 2 wrt g.\nAnswer: 36*a*w**3 - 1076988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x - 9522*x**3 + x - 5*x.\nAnswer: -9522*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, j: 3, s: 5, n: 3, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13851 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: Suppose 10 = 3*f - 14. Let w(k) = 2*k**2 + k - 33. Let m be w(f). Let p = 123 - m. What is the highest common divisor of p and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 11*v**2 + 77*v + 3. Let z be w(-7). Suppose 5*j = z*j + 2*o, -o + 4 = 0. Solve 0*y = -3*y + 4*b + 3, j*y = 3*b + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000062 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 190, 762, 1716, 3052, 4770, 6870?\n\"Answer: 191*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of r**6\/300 + 7*r**5\/150 + r**4\/10 + 10*r**2 + 2. Factor o(l).\nAnswer: 2*l*(l + 1)*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(21\/(-10)))\/((-16)\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 52276.65 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - x + 4*x)*(5 - 26 - 11) + (3 - 3 + 3)*(17*x - 4*x - x)*(2 - 2 + 2).\nAnswer: -152*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6522839.\nAnswer: 1549, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 980 is divided by 70.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + -48 + 114 + -52.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (40*85\/(-40))\/(2\/(-148) - 0). Is v <= 6291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1541?  (a) -3  (b) -5  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1276, -1272, -1264, -1252, -1236?\n\"Answer: 2*t**2 - 2*t - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.30034998 to 3 decimal places.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -133, 0.3, 1\/1328, 2\/9 in decreasing order.\nAnswer: 1, 0.3, 2\/9, 1\/1328, -1, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -w**3 - 92*w**2 - 40944*w + 1.\nAnswer: -6*w - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 + 3*m**2 + 3*m + 1. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 159, -227.\nAnswer: -227, -5, 0, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -5, -2, 383\/4, 1.2 in ascending order.\nAnswer: -5, -2, -2\/13, 1.2, 383\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwvvqvvvvkvvvvwdvdq. Give prob of picking 1 d and 2 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.298  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 10:43 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + 0.17353571512?\nAnswer: 0.07353571512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 479, 4003, 14079, 34145, 67639, 117999, 188663, 283069?\n\"Answer: 573*d**3 - 162*d**2 - d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 604 a factor of 43233716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 192333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 75250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5811\/22 + 264. Suppose 0 = -7*h + 213 + 291. Suppose -3*q - h = -72. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/((-1 - -4)\/(-60)). Suppose 2*r - k = -0*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11165, 21963, 32763, 43565, 54369, 65175?\n\"Answer: m**2 + 10795*m + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 + -66. Calculate the greatest common factor of c and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 214\/(-14) + 2\/7. Let t = v + 28. Suppose 13*b = 111 + 19. Calculate the lowest common multiple of t and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(27*3\/162)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/8 + 34575*k\/4 + 14546129\/8.\nAnswer: (k + 211)*(k + 68939)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -133\/13 - -1609\/156. Let w(r) be the third derivative of -h*r**4 + 0 + 0*r + 2\/3*r**3 - 1\/30*r**5 - 8*r**2. Factor w(g).\nAnswer: -2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - -15 - -4 - (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-12)*6\/34. Let p = g - -65\/102. Let h be (-21 + (-1152)\/(-54))*1. Which is the closest to h?  (a) p  (b) 1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -31*i - 13. Let q be h(11). Let o = q + 4687. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from ssseesesaasegsegsee.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 10 = -1. Let k be (-8223)\/(-6) - 0 - y\/6. What is k rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**4 - 71730*c**3 + 143480*c**2.\nAnswer: -5*c**2*(c - 2)*(c + 14348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 146*a**2 - 4*a - 577. Let g be f(-146). Solve 2*l + 2*n + 2 = 0, 3*l + 3*n = -2*n - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 3*k + 1. Let g be r(4). Let x(w) = w**2 + 5*w - 2. Let t be x(-5). Let j = g - t. Which is bigger: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/1*(-105)\/63. Let o(n) = -5*n**3 + 4*n + 2. Let z(f) be the first derivative of -9*f**4\/4 + 7*f**2\/2 + 4*f - 3. Determine k*o(l) - 3*z(l).\nAnswer: 2*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ba855 (base 13) in base 4?\nAnswer: 1102122123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 1. Let m = 0 + 2. Let d(h) = -m + 0 - 3*h**2 + 2*h**2 - 5*h**2. Let v(n) = -d(n) - 4*x(n). What is the first derivative of v(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -13*z**3 - 6*z**2 + 6*z + 6. Let p(w) = -532*w**3 - 247*w**2 + 247*w + 247. Determine -247*h(n) + 6*p(n).\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + -1)\/(2\/1). Suppose 15*i = -0*i + 45. Solve k = -i*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -27*h**2 + 4*h + 2. Calculate x(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -6. Suppose 3*m = 3*q - 12, 5*m + f = 3*q - 6. Let a be m\/42 - 5\/35. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 3*j**2 - j**3 + 2 + (3*j - 4*j + 5*j)*(-6 + 6 - 3*j**2).\nAnswer: -13*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - -0.7. Let q = 1 + -2. Let r = q + f. Put -0.3, r, 0.1 in decreasing order.\nAnswer: 0.1, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267531 is divided by 3260?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 4*k + 2365, -k - 21 + 16 = 0. Is f a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 4*f - 2*a - 22, -4*f - 4*a = -20. Solve -20 - f = -3*d - 3*c, c = -3*d + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13969, 15334, 16699?\nAnswer: 18064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, o: 2, a: 1, l: 7}. What is prob of sequence xox?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of -251 + 0*g - 4*g**2 - 17\/3*g**3. Let p(v) = v**2. Calculate q(p(r)).\nAnswer: -17*r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = v - 5*v. Suppose -4*q + 6 = v. Which is the third biggest value?  (a) -0.3  (b) 2\/13  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/(14\/(-4))*-2. Let h(g) = g**2 + g - 9. Let z be h(v). Find r, given that 36*r**4 - 48*r**3 - 183*r**4 - 36*r**z - 12*r**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 235411854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 - 0)*(-4)\/6. Suppose -2*f - 2*h = -4*f + 16, -4*h + 4 = 5*f. What is the second derivative of 0*v - o*v**2 + f*v + 0*v wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.2 - 4.7. Let u = 4 - j. Which is the second biggest value?  (a) u  (b) -5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-3)*3)\/(-5) + 2480\/1200. Factor -4\/3*k**2 - x*k - 1\/3*k**3 - 2\/3.\nAnswer: -(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (551\/29)\/(-3 + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*x - 0*x. Let d(f) = 2*f - 88. Let i be d(0). Let z = i + 88. Put -5, x, z, 3 in descending order.\nAnswer: 3, z, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/8 - (-246885)\/4360. Solve t*y = 42*y - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 7. Let k be l(0). Let q = 5 + k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-18) + (-498)\/(-54). Let p be ((-6)\/(-2))\/(z\/6). Suppose 4*c - p*c + 2*l = 16, -12 = 3*l. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 16 = -2*n, 7*n + 5*i - 11 = 4*n. Suppose 0 = -3*b, 3*b + 385 = -n*r + 8*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -444933\/5 at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 6:25 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 17 = 2. Does 53 divide 6\/g + 1454\/10 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*a**4 - 8*a**4 - 2*a + 0*a**4 + (2*a + 0 + 0)*(-2 + 2 - 6*a**3).\nAnswer: -14*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 6 = 1. Put a, 3, -9 in decreasing order.\nAnswer: a, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*251.\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8 - 9 - (-1 + -28). Suppose -s = a - 2*a. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, 4, 4505503, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -245728 (base 9) to base 8\nAnswer: -442144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 128\/(-32) - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 485146 and 37550?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3656*t**5 - 2*t**2 + 1648*t - 1 wrt t?\nAnswer: 73120*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + q**2)*(-844*q**2 - 3906*q**2 - 5064*q**2).\nAnswer: -9814*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 - 42*w**2 - 261*w - 25. Let g be q(-6). Let t be 1732\/(-14) - 2\/7. Let f = g + t. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 5*v - 6. Let r be z(-6). Let l = r + 22. Let k be 2 - (-110 - 4\/(-2)). What is the greatest common factor of k and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*v - 9. Let h(u) = 7*u**2 + u. Let j(z) = -8*z**2. Let c(a) = v*j(a) + 5*h(a). What is the second derivative of c(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 8*r**2 - 2*r - 16. Let n be l(-8). Which is smaller: 2\/193 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15173 from 1.47.\nAnswer: -15171.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 147 + -86. Let l = q - 57. Solve 0 = 3*i + 5*d + 8 - 24, 5*i + 35 = l*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 6429\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.1715 + 1.171476714. What is h rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 5*a = 108, 39445*z + 4*a = 39450*z + 79 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 574 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9\/2 - -17\/4. Let f = -2.1 + 1.7. What is the nearest to f in 3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c + 46. Calculate f(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 3*b**4\/4 + b**3 + b**2 + 6*b - 25. What is the units digit of o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5983.3 + 5983. Sort 5, -26, 3, g, -1 in increasing order.\nAnswer: -26, -1, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 1. Let v(c) = -c - 3. Let j(i) = 2*i + 20. Let l be j(-9). Suppose l*z - 14 = -18. Determine z*g(a) + v(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -496 - -492. What is the second biggest value in 3, -32, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69524696 - -69524695.928099206. Let u = y - -0.0719. Round u to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2905 - 1928. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -6*g**2 + 3*g + 4. Give j(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 + 3*x**2 + 59. Let p(s) = -s**3 - 2*s**2 - 60. Determine -3*p(c) - 2*z(c).\nAnswer: -c**3 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -380121 at most 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + l = -60. Let g be 792\/5 + (-12)\/l. Suppose -4*m + 62 = -g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2289?\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 7*v**2 - v + 9. Suppose 5*l = -14 - 21. Calculate the remainder when 46 is divided by u(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88*-66337.\nAnswer: -5837656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/367470 and -151\/42?\nAnswer: 2572290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(2\/7))*o)**(1\/12)\/(o**1)**(-1\/17) assuming o is positive.\nAnswer: o**(169\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 1, -674, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(4\/5)*k))\/k)**(-1\/18) assuming k is positive.\nAnswer: k**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 - 2*i**2 + 4*i**2)*(-11626 - 2300 - 5547).\nAnswer: -38946*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 2*v**3 - 36*v**2 - 78*v - 40 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 9:01 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s - 99 = -31*n, -5*n + 5*s + 220 = 210 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 10:32 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85\/4 + -37. Calculate the common denominator of 25\/616 and f.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16200 bigger than 16201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {k: 9, e: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.073 * 2295852.\nAnswer: -167597.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/6 - (-147)\/(-6). Let x = 28 + b. What are the prime factors of -72*(1 - x\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105061 = -680*m + 2051*m + 998*m - 122363 for m.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35905 + 4518. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2092622601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -111*x + 102. Let c(y) = -222*y + 204. Let b(r) = 3*c(r) - 5*l(r). Differentiate b(f) with respect to f.\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*w**2 - 3*w**2 - 3*w**2 + (4*w + w + 2*w)*(w + 3*w - 2*w) to t*w**2 + r*w + d and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -48085 divided by -5?\nAnswer: 9617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 6:53 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 268*h**5 + 0*h**2 + 2*h**2 + 1 + 9*h**3 - 85*h**4 + 1039*h - 264*h**5 + 52*h**4 + 0*h**2 wrt h?\nAnswer: 240*h**2 - 792*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 560 = -3*l - 7*x, -5*l + x + 936 = 0. Calculate the remainder when l is divided by (-23)\/(253\/(-33)) - -18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 49*i**2 + 2401*i + 79. Let r be d(-49). Solve -r = -16*k - 31 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -141?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 75136 (base 8) to base 7\nAnswer: 160221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/7)*w*w**(-6)*w\/(w*w*w**(5\/2)\/w*w)*w*(w*w**(3\/14)*w)\/w*w*w)**(24\/7) assuming w is positive.\nAnswer: w**(-744\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 1 - (-3 + 1). Suppose -2*f + 18 = r. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 53153 + 11418. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -162. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 5*c**2 + c + 15. Suppose -12*d + 15*d = 6, 0 = -2*w - d + 14. Give q(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 2*s - 4. Let t be l(-8). Suppose -3*p + t = -p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 11. Let i(a) = -a**2 + 11*a - 12. Let u be i(9). Suppose p*r = u*r. Solve d = 4 - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.027212 to 4 decimal places.\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9*(2 + 168\/(-9)). Let f(y) = -4*y**2 + 2. Let l be f(2). Let t be r\/l - 6\/(-21). Let o(a) = -7*a**2 + 2*a. Let p(n) = 4*n**2 - n. Give t*p(s) + 6*o(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b13 + 2?\nAnswer: b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -65  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109 - 41. Suppose 3*d - p = -d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 * 2.6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/(-6) + 41 + -39. Which is the closest to m?  (a) -5  (b) -2\/9  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.8 and -141.\nAnswer: -112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*b**2 - 12*b**2 + 9*b**2)*(b + 3*b - 2*b) + (0 + 2*b + 0)*(-2*b**2 - 2*b**2 + 2*b**2) - b**3 + b**3 - b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 143*t - 2275. Calculate b(-125).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - (sqrt(240) + sqrt(240)*2)\/sqrt(12))\/(-2*sqrt(16)\/sqrt(4)) - (1*(-6*(sqrt(720) + -1) - ((sqrt(720) - sqrt(720)*-2) + -3)))**2.\nAnswer: -58401 + 1945*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1400, 1408, 1416, 1424?\n\"Answer: 8*k + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232*y = 147*y - 123799971. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -101 - -96. What is the smallest value in 1, 8, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(1\/48)*h)\/h**22*h**19*h**(-31))**(-30\/11) assuming h is positive.\nAnswer: h**(7685\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 559, 561, 563, 565?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 43*i**2 - 226*i + 4026. Determine s(46).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-1\/2))*p*p*p\/((p*(p*(p**(-1)*p*p*p)\/p)\/p)\/p*p))\/(p*p\/p**(-2\/13)*p*p\/(p*p**5\/p)*p*p))**4 assuming p is positive.\nAnswer: p**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5*t**2 - 43*t - 8. Calculate the remainder when 239 is divided by o(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149 = 169*i - 20*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/1*(-13)\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 4:25 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1339 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 5*j**2 + 14. List the prime factors of d(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6591 is divided by 3292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4790\/3 + -1581. What is the common denominator of -59\/8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 15256, -3\/8, 5\/4 in ascending order.\nAnswer: -3\/8, 5\/4, 28, 15256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1138376591.\nAnswer: 11, 9408071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, s: 2, q: 1, b: 7, v: 2}. Give prob of sequence qb.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0.5. Let r be (-6)\/20 + (-2)\/4. Suppose -38*k + 41*k + 6 = 0. Put k, r, l in ascending order.\nAnswer: k, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 250454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15\/220*2205\/27. Is 5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3167 - 1?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 11:18 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - h = 58, -3*j + 38 = -2*h + 6. Suppose 0 = 6*s - j - 18. Suppose -s*o - 4513 = 5*t + 1642, 2463 = -2*o - 3*t. Round o to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -8*q + 9*q - 14, 4*q - 24 = 0. Sort -15, h, -7.\nAnswer: -15, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-3\/7)*z**(-14) assuming z is positive.\nAnswer: z**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3060853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2*(1 + 4*(sqrt(192) - (-2 + -1*sqrt(192)))*6))**2.\nAnswer: 150528*sqrt(3) + 1779079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 484656 - 39?\nAnswer: 48461a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w. Let r(n) be the second derivative of -n**5\/20 + n**4\/3 - n**3\/2 + 1329*n. What is r(z) + 5*t(z)?\nAnswer: -z**3 + 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**4 - 2408552*s**3 + 2408556*s**2.\nAnswer: -4*s**2*(s - 1)*(s + 602139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of -171*f**4\/4 - f**3\/3 + 59*f**2\/2 - 390. What is the third derivative of v(k) wrt k?\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q - 4*q + 5*q. Let x be ((-11)\/(-2))\/(2\/(-4)). Let p(t) = 5*t**2 - 11*t + 11. Let j(k) = -k**2 + 2*k - 2. Let c(w) = x*j(w) - 2*p(w). Give c(g(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 825\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 4*p - 3*p)*(-1 + 0 + 0)*(-5*p + 1 - 2 + 4*p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.06  (b) 3\/13  (c) 7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 202 and -5?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from {k: 1, q: 2, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -16. Suppose -w + n = -4*g - 0, 5*g = -10. Solve -3*m - m + 12 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 284 - 283. Solve -3*v - 4*u - 23 = 0, -v - 7 = u - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/316 and -63\/172.\nAnswer: 13588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 4, v: 1, e: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 12*g**2 - 5*g**2 + 12*g - 9*g + g**4 + 5*g**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**3 - 3*q**2 + 5*q - 4. Let o(n) = 2*n**3 + 4*n**2 - 4*n + 3. Determine -4*o(l) - 3*w(l).\nAnswer: -2*l**3 - 7*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 320*n**4\/13 + 1926*n**3\/13 + 36*n**2\/13.\nAnswer: 2*n**2*(n + 6)*(160*n + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2090*p**2*q**3*t + 67171*p**2*q**2 - 368*p*q + 1060*q**3*t - q**2 + 3*t wrt q.\nAnswer: -12540*p**2*t + 6360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/5)\/((-4)\/(-30)). Suppose -s - b + 1 = -11, g = s - 5*b. Let f be (1*4)\/(8\/s). Solve -v - 3*u = 19, f*v - 4*v + 28 = -4*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4876, -4873, -4860, -4831, -4780, -4701, -4588, -4435?\nAnswer: -4236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 41 and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -372040 (base 9) in base 5?\nAnswer: -24141233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -453*y = -4*x - 448*y, -7*x + 3*y = -3*x + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 - 0.35. Let k be 4\/(-4) - 2\/(-3). Which is the closest to 0?  (a) 1  (b) t  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + 0. Let t(g) = 157*g - 9. Let f be t(v). Round f to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17458332 and 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h**3 + 5*h**3 - 5*h**3 + 3*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25426530 = d - 4*i + 2302454, -5*d = 3*i + 138645012. What is d rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 698 + -137. Suppose -11968 = -17*z + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.09  (b) -2  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.5 + 3. Let z = -42 + 42. Which is the nearest to 0?  (a) o  (b) z  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003571977 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4255 less than -10035?\nAnswer: -14290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - (1\/(-3) + (-35)\/(-15)). Suppose 3*l = 4*q - 3897, 0 = -5*l - w*q - 4205 - 2264. Let x = l - -2406. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1 + sqrt(176) + (sqrt(176) - (sqrt(176)*1 - sqrt(176))))**2*-4*4.\nAnswer: -11282 - 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 2, q: 3, t: 2, j: 2, p: 5, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4, 5, 14, 23?\n\"Answer: 9*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 41\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 123.04 - 119. Let n = 0.04 - c. Sort 0.2, -0.3, n in decreasing order.\nAnswer: 0.2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 16.1?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10112318?\nAnswer: 2, 23, 367, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30.2 + 30. Let v = -10 + 10. Let j = -82.3 - -71.3. Sort j, a, 0.5, v in descending order.\nAnswer: 0.5, v, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/9 - 2991\/54. Let u = h - -55. Sort 1\/4, -0.1, u.\nAnswer: u, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3511782851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 3884145\/90 + 2\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -8*a**3 + a**2 + a + 1. What is k(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9363 is divided by 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzkzklghzklkzkzkgoz. Give prob of picking 1 k, 1 o, and 2 g.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 11, -0.1 in decreasing order.\nAnswer: 11, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -5*g - 40, -58 = 5*g - 0*r + 4*r. Let f = 15 + g. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3132\/13, -301, 2\/11 in increasing order.\nAnswer: -301, -3132\/13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -9.4, -2\/5, 17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4196388.\nAnswer: 2, 3, 7, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z + 2*z + 0*z + (-13 + 3 + 4)*(-5*z + 3*z + z) to a*z + y and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (1 - 6 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -181*d**2 - 4163*d + 11. Determine b(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.60861cm in meters?\nAnswer: 0.2960861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15978233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-345342)\/183*(-6)\/133812*-7. Let w = 1\/3599 - r. Calculate the common denominator of -79\/18 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 5790  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1411, 1411, 1409, 1405, 1399, 1391, 1381?\n\"Answer: -x**2 + 3*x + 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165 - 395 = 80*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -30, -188, -448, -810, -1274, -1840?\n\"Answer: -51*z**2 - 5*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5753094.3 seconds in hours?\nAnswer: 1598.08175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -73, 171, -5, 0 in descending order.\nAnswer: 171, 0, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 - -36. Let h(i) be the third derivative of 0 - 3*i**y + 0*i + 1\/12*i**4 + 0*i**3. Let x(k) = -k. Determine x(h(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 + 7*b**2 - 2*b + 10. What is the tens digit of q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 65 + (-19 - 41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 66\/7  (c) 244  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 28129542 or 2?\nAnswer: 28129542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27 - -27. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -125*m**4 + 127*m**4 + 142*m**4 + m**4 + 7*m**4 - 4*m**4 - 5*m**4 - 2*m**4 + 5*m**4 + (m**3 + 4*m**2 - 4*m**2)*(-1 + 1 + m).\nAnswer: 147*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -624, -994, -1612, -2478?\nAnswer: -3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**3 + 43*r**2 - 22*r + 20. Let v be l(21). Put 2\/3, -2, -3, v in increasing order.\nAnswer: -3, -2, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 689*m**2 + 45000*m + 2330. Determine l(-73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1752329 or -1752296?\nAnswer: -1752296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 h, and 2 b when four letters picked without replacement from pgcbblbpppbhp?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 73.4 - 55. Let m = 17 - i. Let p = -1.4 + m. Round p to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 21. Let v be y(0). Suppose 4*j - v = 23. Suppose -j = 4*c + 1. Let x(i) = -5*i - 1. Let s(z) = 6*z + 2. Give c*s(f) - 4*x(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*i + 2*w - 12, 5*i - 3*w = 9. Suppose -h = i*h + 2*g + 18, -5*h - 5 = -g. What is the closest to 0.2 in 0.2, 2\/15, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298033?\nAnswer: 29, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence muh when three letters picked without replacement from {m: 2, u: 3, h: 12, o: 1, g: 1}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 835*p**2 + 1164?\nAnswer: 1670*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3972.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22053301 (base 6) to base 13.\nAnswer: -1a17a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(33\/5))**(-38))**(-14\/9) assuming p is positive.\nAnswer: p**(5852\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 16. Put 4, y, 3 in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/2 and 834\/(-1970) + (9 - 836\/95).\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) -0.4  (c) -0.04  (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -17, -5\/16 in descending order.\nAnswer: -5\/16, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2234 + 7?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmme when four letters picked without replacement from hcmmmhecmmcehmmme?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50929810.\nAnswer: 2, 5, 5092981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t**2 + 13*t + 9. Let f(d) = 2*d**2 - 6*d - 4. Let p(u) = 9*f(u) + 4*i(u). Give p(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*q - 10 = 134*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3292307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from viixixxixxxixxi. What is prob of picking 1 x and 2 i?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 0.1, -721, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -85 at least as big as -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 9*d**2 + 2*d - 29. Let h be a(9). Let s be -3 - (-1 + 1 + 7). Is s greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -8. Solve -u + 6*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + 0)*-1 + -2.\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4060\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.8870594052 to five dps.\nAnswer: -0.88706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 11*o + 34. Determine q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/5)\/((6\/5)\/1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 4. Suppose -4*a = -5*a + 8. Let l = d + a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 4 = -4*k, h + 0*k + 8 = 2*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 73. Let n be q(-24). Let w(k) = k**3 + 50*k**2 + 49*k + 5. Let v be w(n). Let y(l) = -5*l + 12. Give y(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4*1\/(-2) - 53. Suppose h - 4*v + 109 = 0, -3*v - 194 - 103 = 3*h. Let n = c - h. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, i: 1, r: 3, b: 3, y: 2}. Give prob of picking 1 m, 1 r, and 1 b.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -806 + 801. Let v = 0.43 + 2.57. Which is the closest to q?  (a) v  (b) -1\/6  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3787 and 714661?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from alolaooeooea.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + 2 + 0)*(-4)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4758 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 11 = 2*a + 1, -f - 10 = -2*a. Let u = -15 + 29. Suppose 0 = 2*g - 3*k - 2*k - u, -3*k = a*g - 35. What is the lowest common multiple of g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*l = 74*l + b + 5, -b + 15 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 364920, 364771, 364632, 364509, 364408, 364335?\nAnswer: 364296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert b4a287 (base 12) to base 3.\nAnswer: 12100011200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = -4*c, 5*t - 4*c - 28 = 0. Suppose 35 - 11 = t*k. Find the third derivative of 42*w + 5*w**2 - 22*w**6 - 9*w**k - 42*w wrt w.\nAnswer: -3720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 1 + 14. Let b be (-27)\/2*(-14)\/21 + -2. Suppose -b*p + 13 = -6*p - q, 2 = 2*p + 4*q. Solve -t*o - 3 = p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1574 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112328 is divided by 37055?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - -2 - (0 - -1). Suppose -5*h = 4*x - 148, -3*h + 16 = h. Let u = x - y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 17, 117, 4, -7281?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1038, 1036, 1032, 1026, 1018, 1008?\n\"Answer: -g**2 + g + 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2769, -2658, -2547, -2436, -2325, -2214?\n\"Answer: 111*m - 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -124 by -530.\nAnswer: 62\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*c + 2 = -9, -2*c - 4 = 3*v. Let r = -24 - -52. Suppose r = 4*h - v*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 11*v + 77. What is z(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**3 + 2*p + 4 + 2*p**4 + p - p**4 + 454*p**2 - 469*p**2 to w*p + s*p**3 + b*p**4 + l*p**2 + j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**5 - 55*x**4 + 90*x**3 + 10*x**2 - 95*x + 45 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-21) + (-68)\/(-14). Suppose w = -2*b + 173, 264 = f*b + w - 170. Let o = b + -46. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2194 (base 15) in base 2?\nAnswer: -1101111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 4:20 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.14 and -130958672?\nAnswer: 130958673.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-9 - (10 - 33)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 29520 divided by -15?\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/3867840 and 49\/45504?\nAnswer: 3867840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i - 17. Let y be f(-5). What is the units digit of y\/(-5) - (-3672)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*a = 3*a + 364. Put 12, a, -2, 5 in decreasing order.\nAnswer: 12, 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + (3*(sqrt(396) + sqrt(396) + 0 + 4))**2).\nAnswer: 3456*sqrt(11) + 57580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 254647717351 + 64.4.\nAnswer: 254647717415.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.379 or 10.229?\nAnswer: 10.229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -231215206*s**5*v - s**4*v - 6*s*v - 7889755*s wrt s?\nAnswer: -4624304120*s**3*v - 12*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*r - 2571 - 1121 = -1107 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01?  (a) 3  (b) 1\/4  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-112 - -110)\/(4\/18 - (-13)\/(-18)). What is the smallest value in 1, 412, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.3, 1\/160, -1, 6 in increasing order.\nAnswer: -1, 1\/160, 2.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -26018 minus -0.409955?\nAnswer: -26017.590045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 9, l: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 2. Suppose 2*x - s*x + 19 = 0. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -105\/4 + 26. What is the nearest to 2\/5 in i, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1035 or -9328\/9?\nAnswer: -9328\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 17*l - 39. Let q be h(19). Put 2, -11, q, 0 in decreasing order.\nAnswer: 2, 0, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -570 + 1483. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.78  (b) -3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) -1\/64  (c) 5  (d) -0.5  (e) 0.04  (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 458, 457, 456, 455, 454?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4 + 9*o - 6 + 28*o**2 - 5 - 27*o**2. Let p be a(-10). Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 993 = 17*o, 5*l - 56506*o - 108 = -56504*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*a, -a + 2*a - 101 = -4*y. Let g(i) = -45*i - 216. What is the remainder when g(-7) is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*3\/7*(-4816)\/(-1548)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8736 bigger than 8736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 290903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 4100728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txxt when four letters picked without replacement from {x: 4, g: 6, t: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-286)\/2)\/(40\/(-35) + 1). Suppose -o + 343 = -7*t. Calculate the remainder when t is divided by (-20)\/(-1) - (-2 - -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2568*u = -2921*u - 3128*u - 3183*u - 50*u. Factor b**2 + 1\/3*b + b**3 + u + 1\/3*b**4.\nAnswer: b*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20 + (-840)\/42)*(2\/2 - 0). Suppose 1\/8*m**2 - 5\/8*m + j = 0. What is m?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 5*g + 8, -t - 10 = -5*g + g. Let n = -3 + t. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 40*j - 5*j - 2*j**2 - 71 - 7*j**2 + 6*j**2 + 2*j**2. Let q be u(31). What is the greatest common factor of 371 and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0*(-1)\/(-1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 11*z**2 - 11*z + 16. Let a be k(-12). Let d be (-582)\/a*28\/42. Let w = d + 136. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 353 + -16551086.32831.\nAnswer: -16550733.32831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 204321319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w - 6 = 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -1 + 8. Let r(c) = -5*c**2 + 2*c + 1. Let d(g) = 11*g**2 - 5*g - 3. Give o*r(m) - 3*d(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**4\/2 + 1579*c**3\/2 + 417366*c**2 + 74821960*c + 503572384 = 0 for c.\nAnswer: -524, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 16*t**2 + 13. Let g be n(16). Suppose -g*f + 840 = -5*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -29220.\nAnswer: -29219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 118, 235, 372, 535, 730, 963, 1240?\n\"Answer: k**3 + 4*k**2 + 98*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 1:27 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 122.\nAnswer: 3\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81980 is divided by 40826.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 0*i**3 + 70 - i + 0*i**2 - 1\/4*i**4. Let q(c) = -4*c**3 - 2*c - 5. Calculate 5*b(m) - q(m).\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + 4. Let y(i) be the third derivative of i**4\/12 - 8*i**3\/3 - 4*i**2. Calculate the remainder when r is divided by y(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 - 3*u + 3. Let d(y) = y**3 - 5*y**2 + 5*y - 6. Determine -3*d(z) - 5*o(z).\nAnswer: -3*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5307647, -10615293, -15922939, -21230585, -26538231?\nAnswer: -31845877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 a factor of 42226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.10892569 to 3 dps.\nAnswer: 1.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 8*q**2 - 11*q + 11. Let h be f(-6). Suppose -2*x = t + 7, -4*x - 9 = h*t - 4. Solve t*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299 + 265 - 160 + 48 + 2*c + 273.\nAnswer: 2*c + 725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*k + 5*h - 245, 4*k - 112 = 3*h - 69 - 64 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 7 = -k, 4*k + 5*b + 12 = -2. Let l = -23775 - -23763. Put k, l, -4 in descending order.\nAnswer: k, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1123685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/184561 + -1133019941\/3506659. Let w = -323 - s. Which is the closest to -1\/4?  (a) -0.3  (b) -12  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 - -50. Suppose -18 = -2*b + y. Suppose 5*f + 4*w - 36 = b, 3*w - 9 = 0. Solve -c + f = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 45\/9*(-4)\/(-5). Suppose -3*k + y*k - 99 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9541 - 9537. Let y(q) be the second derivative of -1\/18*q**i - 25*q - 2*q**3 + 0 - 27*q**2. Solve y(z) = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -4*j + 48. Let z be 4\/j + (-21)\/(-18). What is the closest to -0.1 in 2\/17, z, 3\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5*k = 35, 0 = -5*k + 21 - 1. Is x - (-16957 + (-25)\/(2 - 7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - -1. Suppose o*w - 8*w - 26 = 0. What is the remainder when 48 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 2 = -2*f, 5*k - 29 + 4 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/14*(-28)\/336*28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 1:42 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**3 - 2*a**3 + 4*a**3)*(-4 + 10 + 5).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {s: 6, v: 2, i: 3, p: 1, c: 4, y: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j + 143 + 0*j - 6*j + 5*j - 42 in the form w*j + p and give p.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/116 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*v**5\/2 + 11*v**4 - 37*v**3 + 30*v**2 - v\/2 - 5 = 0. What is v?\nAnswer: -10, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3347597673.\nAnswer: 3, 7, 71, 89, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 707357, 1414731, 2122119, 2829521, 3536937?\nAnswer: 4244367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 9, u: 5}. Give prob of picking 4 n.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 79*a*y**4*z - 2*a*y**2*z**2 - 22*a*y**2*z - 9*a*y*z**2 + 2*a*y*z - 32*a*z**2 - 37790*y**5*z**2 + 10*z**2 wrt y.\nAnswer: 1896*a*y*z - 2267400*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from jttjtgsgqtjjguj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -642055*u + 16261428.\nAnswer: -642055","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Solve 1265*l = 1256*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2\/5*g**5 + 24642\/5*g**3 - 444\/5*g**4 + 0*g**2 + 0*g + 0 = 0?\nAnswer: 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -8*x**3 - 6*x**2 + 6*x - 2. Let j(u) = 8*u**3 + 5*u**2 - 5*u + 2. Give 6*j(k) + 5*s(k).\nAnswer: 8*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + n + 0*n)*((-7 + 1 + 3)*(-n - 4*n + 2*n) + (-2 + 0 + 0)*(-2*n + 3*n - 2*n) - 12*n - 6*n + 3*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10880 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of -w**7\/45 - w**6\/48 + 13*w**5\/180 + 5*w**4\/48 + w**3\/18 + 10*w**2. Find h, given that r(h) = 0.\nAnswer: -1, -2\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 - -33*1 - 2 and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 2 r, and 1 k when four letters picked without replacement from gzraakzrrz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 40494056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 9. Suppose -4*f + 1 = -7, 0 = -3*v - 5*f + 52. Let s be (1 + v\/(-10))*-5. What is the third biggest value in s, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6679 divided by 3\nAnswer: 6679\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -3, r - 5*c - 61 = 47. Solve -r = -5*v - 143 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + w + 1, 5 - 1 = 4*v - 4*w. Let s be (-1 - -2 - v)*2. Suppose -s*u - u + 18 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-3) - (-1)\/3. Let f(q) = -21*q - 1. Let a be f(t). Let d = -14 - a. What is the highest common divisor of 56 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(102)\/(sqrt(24)\/sqrt(4))*4.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 16\/(-4) + 8. Let i = 154 - 91. What is the greatest common factor of i and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21\/36)\/(105\/4900) + 2\/(-9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yytttt. What is prob of sequence ttyt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*q + 455 = -840. Suppose -q*w = -26*w - 324. Calculate the smallest common multiple of w and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 (base 5) in base 3?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 - 6*u**2 + u - 16. Let x be h(-5). Let w = 90 + x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133 = -50*a - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162837 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -6*v**2 + v - 1. Let b = 2 - -1. Suppose 2*q - 10 = -b*q. Let p = 3 - q. What is j(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20573632 by -6592.\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -20\/3*s**3 - 33\/2*s**2 + 0 + 7*s. What are the prime factors of b(-5)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26652136?\nAnswer: 2, 7, 19, 37, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/121422 and 64\/103929.\nAnswer: 12263622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 398439911?\nAnswer: 398439911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1 = -23. Suppose 0 = 4*u - u - a. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0, -3, 0.4 in decreasing order.\nAnswer: 0.4, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of k**4\/4 + 4*k**3 + 7*k**2\/2 + 3*k + 721. Give y(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 8:50 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -137, -888, -2829, -6524, -12537, -21432?\n\"Answer: -94*j**3 - 31*j**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 4 - 4*t**3 - 192*t + 3*t**3 - 227*t**2 + 2*t**3.\nAnswer: t**3 - 227*t**2 - 192*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 139*n**3 - 100 - 145*n**3 - 199 - 119 + n**2 to the form b*n**2 + v*n + w + m*n**3 and give w.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*x = 1, 0 = -6*t + 9*t + 4*x - 7. Solve -9 = 2*m - r, 5*r = -t*m + 2*r - 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7283828?\nAnswer: 2, 1820957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.416 plus 0.7?\nAnswer: 12.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -106*u + 1899. Determine b(17).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2056 and 18?\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148974 is divided by 153?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -10734, -10395, -10056, -9717, -9378?\n\"Answer: 339*a - 11073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 1  (c) 1\/108  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -690 = -3*a + 4*g, -2*a + 3*g - 6*g + 477 = 0. Let w(o) = -o + 19. Let u be w(-7). Calculate the greatest common factor of a and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a*(a*a**(-2)*a*a*a*a)\/a*a)\/a))**2)**46)**33 assuming a is positive.\nAnswer: a**(-6072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -20) + (-34 - -23) + 24\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1650 + 2981. What are the prime factors of o?\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3189710 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11177894 and -0.5.\nAnswer: -5588947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 393491824 divided by 49186478\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2006.2621 - 1908.262252. Let q = 98 - j. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -584584, -584571, -584562, -584557, -584556, -584559?\nAnswer: -584566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -17. Let h = -2 - 10. Let r be ((-1)\/h*3)\/(2\/24). Solve 3*q = r*b - w, -b - 3*b = -12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 + (-86)\/(-18). Suppose h = x*h. Solve -2*m - 5 + 1 = h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 0, -1, 56 in ascending order.\nAnswer: -1, 0, 1, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 - -31. Let f(j) = 1 + 220*j - 216*j - d - 4. Determine f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-8)*-4*2 - -6. What is the fourth biggest value in -5, 1, 21, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11339 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 947*4.8723.\nAnswer: 4614.0681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -95.6678 - -1.6.\nAnswer: -94.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.81*0.4.\nAnswer: -1.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4749371914?\nAnswer: 2, 7, 941, 360511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 775*w - 323*w = 274*w + 355*w - 16992 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0494 + 291.0494. Let n = u - 290.8. Which is the closest to n?  (a) 3  (b) -2\/21  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003461806 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 20*d**2 - 39*d + 38. Is 7 a factor of r(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114446774?\nAnswer: 2, 13, 4401799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 81 - 77 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25a563 - -3d1?\nAnswer: 25a944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9412*n + 18848*n - 4*n**2 - 9436*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -1 + 25 + -21 + -34 + 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-12))\/(3*(-2)\/9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -7 + (-4 - -17) + -2 + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -305436.3 to the nearest one thousand.\nAnswer: -305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141291*l**2 + 70648*l**2 + 70632*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.49 - 0.41. Let c = s - 0.1. Sort c, 0, -0.2, 5.\nAnswer: c, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from nywkjjuwkjyuwwnk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2544, -5113, -7684, -10257, -12832?\nAnswer: -15409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11.8?  (a) -0.4  (b) 0.4  (c) -1  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 318777, 637544, 956311?\nAnswer: 1275078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 15*d**2 + 42*d + 130. Determine s(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1770 times 72877\nAnswer: -128992290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1501866 rounded to 3 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k**3 + 47385*k**2 - 471055*k - 21726765 = 0. Calculate k.\nAnswer: -17, 27, 9467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 2 + -45 + 31 - 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*u + 20*u + 23 + 2*u**3 + 41*u**2 - 6 - 45*u to v*u**3 + b*u + c + o*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*((-2)\/(-6))\/(12\/9). Which is the third biggest value?  (a) q  (b) -3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5 - 556*c**4 + 3282*c**3 - 4896*c**2 = 0. What is c?\nAnswer: 0, 3, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3889975 times 0.13\nAnswer: 505696.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) -1\/3  (c) 84838  (d) 1  (e) 3  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -3. Let u be o\/3 + 58\/6. Suppose 0 = c + c - u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -3*r**5 - 105*r**4 - 291*r**3 - 87*r**2 + 294*r + 192 = 0?\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2792\/(-934) - ((-2)\/6 - 472\/177). Is -0.1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196.952 rounded to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of -4*t**2 + 1\/60*t**5 - 8 + 11\/6*t**3 + 0*t + 1\/2*t**4. Factor q(l).\nAnswer: (l + 1)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 14*a**2 - 9*a - 17*a**2 - 3 + 6*a. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -8*b + b**3 - 10 + 27*b**2 - 58*b**2 + 25*b**2. Let v be (-19)\/(-3) + 38\/57. Determine d(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 6*w - 5. Is f(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1177, -1234, -1311, -1402, -1501?\n\"Answer: q**3 - 16*q**2 - 16*q - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 10*o - 5 + 10*o.\nAnswer: -3*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 462183 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 2*n - n)*(-2*n + 4*n - 5*n) + (-3*n + 6*n - 4*n)*(0*n + n - 3*n) + (-10*n + n - n)*(-5 - 4*n + 5).\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2792*f + 3362 = -5566*f + 2856*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 - -32. Let h = p - -26. Let i = -1597.4 + 1597. Which is the closest to 1?  (a) h  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from xxnrrnnnr.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*k - 8 = y, -3*k + y + 28 = 0. Let p(q) = 1312*q - 9104. Let g be p(7). Calculate the highest common factor of k and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*-3 - (5 - 2). Let p be -293*-6*3\/m. Is (p\/5)\/(18\/(-45)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5083797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*q**4 + 3*f**2*q**3 + 1818*f**2*q**2*v - f**2*q**2 + 3*f**2*q*v - 21*q**3*v wrt q.\nAnswer: 24*f**2*q + 18*f**2 - 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 2*u + 2 = 0, n + n + 18*u + 712 = 918 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + 1.3. Let j = 16.5 + -17. What is the second biggest value in j, u, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**3\/2 + 2899*j**2 + 5796*j = 0. What is j?\nAnswer: -5796, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 4*q**2 - 4*q**2)*(3*q - q - 4*q) - 4*q**3 + q**3 + 2*q**3 + 6*q**2 - 2*q - 24 + q**3 + 24.\nAnswer: 4*q**3 + 6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + 3 + -5)**2 - sqrt(102)\/(sqrt(66)\/(2*sqrt(11))).\nAnswer: -6*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/3264*425 - 2\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 3*j**5\/5 + 21*j**4\/4 - 8*j**3 - 25. Determine p, given that i(p) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 721 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2643, -1535, -5687, -9801, -13865, -17867?\nAnswer: -21795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, z: 14}. What is prob of sequence zzz?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + l + 0*l)*(-136 - 60 + 122)*(2*l - 49 + 49 + 4*l - 6*l - 2*l - 1 + 2*l + 1 + (-2 + 2 + 2)*(2*l - 2*l + l) - 3*l + 0*l + 2*l).\nAnswer: 148*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2409312332 to the nearest integer?\nAnswer: 49085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 4*y - 19. Let m be g(-7). Let k = -1 + 7. Let n be (-1)\/k - 6\/(-36). Solve -4*p - m*c + 0 + 10 = 0, n = 5*c + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3920 and 8093330?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 200183 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100100110000 (base 2) to base 6.\nAnswer: 120452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -236743651 - -5673088111325\/23963. Let s = -3\/773 + m. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.622 not equal to -6\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6605580 by -182.\nAnswer: -3302790\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**5\/4 + 25*n**4\/6 + 80*n**3\/3 + 80*n**2 + 25*n + 51. Let l(h) be the first derivative of a(h). Let l(i) = 0. What is i?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 6*q - 10. Let t be 4\/(-16) - q*470\/8. What is the tens digit of 1*(6 + -5)*t\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 9*z**2 - 8*z. Let j(u) = -6*u**2 + 5*u. Let g = -49 - -54. Let b(l) = -l**2 - 6*l + 3. Let p be b(-5). Calculate g*a(n) + p*j(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 183637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2198381 and 161844?\nAnswer: 26380572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 366 - 384.95. Let i = o - 0.05. Let q = i - -20. Which is the closest to q?  (a) -1\/3  (b) 4  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 + 8*c + 17. Let o be l(-5). Is 180\/o - (-1 - 4)*1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/20 and -3\/76587644?\nAnswer: 382938220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 258*d**4 - 6*d**3 + 8*d**2 - 2. Let a(n) = -517*n**4 + 13*n**3 - 16*n**2. Let f(r) = 6*a(r) + 13*t(r). Find the third derivative of f(c) wrt c.\nAnswer: 6048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 420*r - 4. Let j be y(-3). Let z = 7655\/6 + j. Calculate the common denominator of (-98)\/32 + ((-12)\/(-16))\/3 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 2*p**3 + 8)*(390*p**2 - 21*p + 86*p - 383*p**2).\nAnswer: 14*p**5 + 130*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12795 + 13080. What is the highest common factor of s and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*v - 23*v + 4. Let s = 6 - 6.4. Let j = -45.8 + 44.8. Which is the nearest to j?  (a) -2\/13  (b) v  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 18 = 2. Suppose 4683*s - 4643*s = -120. Let k = -1 + 4. Put k, s, 7, j in decreasing order.\nAnswer: 7, j, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nxrnrxrqrrpww. Give prob of sequence qw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7139541, -7139543, -7139547, -7139553?\n\"Answer: -j**2 + j - 7139541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9, b: 7, k: 1, c: 2}. What is prob of sequence kc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 743470\/(-117)*-1 + (-4)\/9. Calculate the highest common divisor of l and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3619 - 3346. Solve 279*p = h*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -45347669.\nAnswer: 3\/45347669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27020771?\nAnswer: 27020771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -24*p - 9*p**2 + 11*p - 2*p**2 + 12*p. Calculate f(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9034.209 years to centuries.\nAnswer: 90.34209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**2\/19 + 69708616*u\/19 - 69708618\/19 = 0. What is u?\nAnswer: -34854309, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1723282um to kilometers.\nAnswer: 0.0000000001723282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/193728 and 5\/544?\nAnswer: 3293376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w - 5*w + 3*w)*(-3*w - 3*w + 5*w) + 8*w**2 + 3*w**2 + 60*w**2 to the form k*w + s + p*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6\/u**(-1\/5))**(5\/14) assuming u is positive.\nAnswer: u**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1318 + 15be2?\nAnswer: 148c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 741 a factor of 78204813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 201871271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {p: 1, l: 3, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**6\/120 - v**5\/10 + v**4\/24 + 10467*v**2. Let u = -5 + 3. Let m(r) = 4*r + 2. Let w be m(u). Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f + 13. What is the units digit of d(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 4:00 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 21, -1\/4, 0.5, -1\/10, 0.08, -363?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004864 rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 6450220?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c - 6. Let n be m(-10). Let u = 39 - 35. Suppose -h + 8 = -2*o + 5*o, 0 = h - 5. Solve o = x + 2*w, -x + n*w - 1 = -u*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 17265*a.\nAnswer: 5*a*(a - 3453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -9*q - 41 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand t + 2*t**2 - t + (-4 + 3 + 3)*(6*t**2 - 3*t**2 - t**2) + (4*t - 3*t + 0*t)*(3*t + 0*t + t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 777 = -d + 854. What is the remainder when 769 is divided by d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 73*l - 38*l + 94*l - 32329077. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of 99*l**5\/10 - 103*l**3\/6 + 11*l - 1. What is the second derivative of x(d) wrt d?\nAnswer: 1188*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.27  (b) -26\/19  (c) -2  (d) 1\/3  (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*f = -4834470, 10*h - 4*f = 14*h + 19338024. What is h rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*1\/((-4)\/(-8)). Solve -4*o = j*u - 10, 2*o = 2*u + o + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*-1 + 1 + 5 + 2*sqrt(108))**2 + -5)*2.\nAnswer: 144*sqrt(3) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001 - -100110101111100101?\nAnswer: 100110110000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1367 less than or equal to -1368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.9 + 4.1. Let i = -15 + 15. Let y = 0.5 - 0.3. What is the second biggest value in g, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15847*a**3 - 5807 wrt a?\nAnswer: -47541*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -22. Suppose -r*d + 30 = -2. What is the greatest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*t = 3*k - 56, -5*k - t + 52 = 0. Let j(z) = 3*z + 0*z - z**2 - 15 + 3*z + k*z. What are the prime factors of j(11)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 24  (b) 1\/2  (c) 28\/5  (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 3*w + 12 + 24 = 0, -3*v - w = -20. Suppose -v = -2*d, 2*d + 0*d = 2*o. Let s = o - -1. Let n(z) = z**3 - 5*z**2 + 6*z - 4. What is n(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 72*o**3 + 29*o**4 - 6*o**2 + 2 - 9*o**2 + 14*o**2 - 33*o**4 to c + t*o**4 + i*o**3 + r*o**2 + b*o and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rtrr when four letters picked without replacement from rrrtrtr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30676, 61530, 92542, 123706, 155016?\nAnswer: 186466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sbsj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 10. Let a be (-6)\/(3*4\/(-42)). Let j = z + a. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 408 and 141848?\nAnswer: 425544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 92 - 56 = 0. What is the lowest common multiple of n and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and -3.94197?\nAnswer: 2.94197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1207\/1743 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 76600322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 6*q**2 + q - 3. Let f be l(6). Let t = -6806.949 + 6802. Let o = t - 0.051. Which is the fourth biggest value?  (a) o  (b) f  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1100 + -1099.999998415. Round j to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 323*o**3 - 1 + 5715*o**3.\nAnswer: 6038*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**6\/20 - d**5\/60 + d**4\/24 - 68*d**2. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49.7 - -16. Let s = x + 34. Let f be ((-2)\/(-8))\/(2\/(-4)). Put 3, f, s in ascending order.\nAnswer: f, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, e: 3, q: 6, z: 2}. Give prob of sequence zz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5632 rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = s - 3*c - 4, c + 10 = 5*s. Let k(u) = 395 - 395 + s*u. Let x(h) = 2*h. Give x(k(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohoqohooqooq. Give prob of picking 1 h and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 678 + -675. Suppose -27 = 14*s - 69. Solve 9 = -o*z + s*b, 4*z = 3*z - 2*b + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 327612288 and 5016.\nAnswer: 3603735168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-10) + (-32)\/(-5). Let c be ((-2)\/k)\/(4\/(-36)). Let f(m) = -m**3 + 5*m**2 - 3*m + 1. Is 5 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16\/11 - (0 + 2). Which is the third smallest value?  (a) -1\/9  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 473258447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 divided by 75?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -623 divided by 67?\nAnswer: -623\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4982 is divided by 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4702 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 122750144 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*z**2 - 5*z**2 + 3*z**2)*(40*z - 20*z - 8*z) + (-2*z**2 - z**2 + 2*z**2)*(-2*z - z + 5*z) to the form u*z**3 + c*z + v + n*z**2 and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 6364, -1, 18, 4, 0 in descending order.\nAnswer: 6364, 18, 4, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 9 - 15 = 0. Let n = 3 - 2. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + 0 - (4 - 8). Suppose r = o - 2*i + 8, -o - 7 - 6 = -3*i. What is the second derivative of -3*n**o - 9*n + 3*n**2 - 8*n**4 - 2*n**4 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1105816.\nAnswer: 1\/276454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-6))\/(16\/(-16))*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1561049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 1 - 16 = 0, -3*k = -4*s - 32. Calculate the lowest common multiple of k and (-19998)\/(-1010) - (-2)\/(30\/(-27)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(0 + -3*sqrt(75)) + (sqrt(75) - (sqrt(75)*-1 + sqrt(75)))*2*2)**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.939632 minutes to microseconds.\nAnswer: 296377920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -n**11\/166320 - n**10\/75600 - 51*n**5\/10 + 5*n**2 + n. Let u(i) be the third derivative of g(i). Factor u(o).\nAnswer: -2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1499 + 1535. Calculate the remainder when 148 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (152*t**3 - 27*t**3 + 116*t**3)*(1 - 3 + 0)*(t + 0*t - 6*t) to z*t**2 + c*t + j + q*t**4 + i*t**3 and give q.\nAnswer: 2410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 11:27 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3399*y + 91539. What is c(-27)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**3 - 4*y**2 - y**3 + 3*y**2 + y + 0*y**3 - 13. Determine u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -167414\/33 + 5069. Let w = -1084\/3 - -357. Let r = c - w. What is the smallest value in 9\/2, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -348776, -348853, -348934, -349019, -349108?\nAnswer: -349201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-3 - -1) + 0). Let b(q) = 76*q**2. Let l be b(r). Let a = -34 + l. What is the greatest common divisor of 105 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-4) + 15\/(-180). Sort i, 4, 0 in ascending order.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*y - 80 = 0. Suppose z = -4*z + y. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4366, 9218, 14584, 20500, 27002, 34126, 41908?\n\"Answer: 6*u**3 + 221*u**2 + 4147*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2210 + -2\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 13*d + 3. Let m be p(-9). Let o = -27 + m. Let h be 78\/o + (-1)\/(-2). What is the highest common divisor of h and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11392565 + -7893794. Let a = -19286336.999998 - h. Let b = a + -22. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 21*n**2 - 19*n + 6. Let k be m(20). Find the second derivative of 25*s**3 + 28*s - 4*s**3 + 13*s**3 + k*s wrt s.\nAnswer: 204*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 77 + -65. Let b be 89 + 1 + (-1 - 3). Suppose 0 = 5*o + i + 4*i - 50, -5*o = -4*i - b. Calculate the smallest common multiple of p and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126514 (base 7) in base 5?\nAnswer: 1231143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6208754 to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*3 + (-5 - -5). Suppose -3 - 27 = -5*r - 3*p, -18 = -n*r + 2*p. Find the common denominator of 54\/20*22\/r and -20\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 7*n**2 + 8*n - 6. Let l(o) = o**2 - 1. Calculate a(f) - 6*l(f).\nAnswer: f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(6))\/sqrt(7) - sqrt(4)\/(-3*sqrt(2)) - (sqrt(162) + ((-1 + sqrt(162))*3 - sqrt(162)) + sqrt(162) - (sqrt(162) + 0 + 1))**2.\nAnswer: -1474 + 652*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 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: Let j = -59 - -59. Suppose 3*i - 21 = -i - 5*v, 4*i - 3*v = 13. Which is the closest to i?  (a) -1\/10  (b) 4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 19874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u = -77 - 25 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 1\/7*z**4 + 12\/7*z - 12\/7*z**3 - 36\/7.\nAnswer: (z - 6)**2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6453\/11 + 56039\/77. Let a = m + -141. Let b = -5 - -5.2. Put b, -1\/2, a in increasing order.\nAnswer: -1\/2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 855465 and 1230?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*i = 4*k + 21, i = -2*k - 7. Let o be 0*(1\/i)\/(3 - 2). Suppose n = -4*n + 60. Solve n = -4*r - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let u(s) be the first derivative of -77 - 28\/3*s**3 + 0*s**4 + 0*s + 0*s**2 + 1\/6*s**6 + 41\/5*s**5. What is the third derivative of u(m) wrt m?\nAnswer: 60*m**2 + 984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3441 and 61624869.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3*6*(1 + sqrt(20)*-2).\nAnswer: -23 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3051255.\nAnswer: 3, 5, 203417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -564542 divided by -25661?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.23 and -1147.\nAnswer: -263.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*n - 2*m - m, 3*n + 5*m = 37. Sort n, -1, -22 in ascending order.\nAnswer: -22, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -w**3\/3 - 11*w**2\/2 - 24*w - 185. Factor x(b).\nAnswer: -(b + 3)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((2*sqrt(80) + sqrt(80))\/sqrt(5))\/(sqrt(8) + sqrt(288)))**2 + 1)*1.\nAnswer: 67\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -1\/6  (c) 34850\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*f - 1\/3*f**2 + 0.\nAnswer: -f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - k**2 - k - 3. Calculate the smallest common multiple of (7 + 1)\/(-2 + 3) and v(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 217433460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*j**2*m**2 - 4938*j**2*n**2 - 14*j*m**2*n**2 + 15*j*m*n**2 + 17*m**2*n - 2 wrt j?\nAnswer: -10*m**2 - 9876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 5) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/j**(-1\/6)))\/(j\/(j\/(j\/((j*j*j**3\/j*j)\/j)))))**(7\/6)\/((j**0*j)**(-11\/4)*j\/j**1*(j**(-2\/3)\/j)\/j) assuming j is positive.\nAnswer: j**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l + 44*j - 46*j + 4, -2*j + 6 = -0*l - 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 18466\nAnswer: -7386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -9083*d**2 - 24*d - 49. Let f(b) = -9083*b**2 - 25*b - 59. Let k(o) = 5*f(o) - 6*n(o). Find the second derivative of k(x) wrt x.\nAnswer: 18166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 19\/228*37276 + 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from ehhnhnxxenxhxd.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -14*i + 1. What is h(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m**4\/10 - 7863986*m**3\/5 + 30921137904098*m**2\/5 = 0. What is m?\nAnswer: 0, 7863986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 138 and -4.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -8*u - 29. Suppose -135 = 36*x - 9*x. Suppose -2*l + l + 15 = 0. Calculate the remainder when l is divided by h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (1 - (-7 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 8*w**2 + 10*w + 12. Give g(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11.3 - -23.3. Let d = 168.5 - 168. Which is the second smallest value?  (a) -1  (b) w  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 971687860 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (504*a**3 + 457*a**3 + 191*a**3)*(-1 + 0 + 0).\nAnswer: -1152*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -524*h**3*i**4 + 409*h**3 wrt i.\nAnswer: -2096*h**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 986 + -966. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(19) + -2*sqrt(19))*2 - (((sqrt(76) - sqrt(19)) + -4)*3)**2.\nAnswer: -315 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*h + 3*f - 11, h + 1 = 3*f. Suppose 3*c + 2*a = 3749, 5*a - h = 6*a. Round c to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + (3 + -4 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 211?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 67, 267, 581, 991, 1479, 2027, 2617?\n\"Answer: -3*z**3 + 75*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 514508 is divided by 1762.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1682209866 rounded to three dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 9*t + 12. Let z be n(8). Let v(q) = q**3 - 3*q**2 - 3*q - 5. Let u be v(z). Let r be 14\/(-8) + -1 + 2. Are u and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -18, -5*y + 2*u + 164621 = -19386. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/42)\/(44*4\/24).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 703120 at least as big as 703106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26.27 - 26.07. Sort -35\/12, u, -1\/3, -0.2, -2\/7 in descending order.\nAnswer: u, -0.2, -2\/7, -1\/3, -35\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t + 12 = 18*t. Let k(d) = 19 - 1147*d + 1154*d + t. Let q be k(-16). Which is smaller: q or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/4))**35\/(((y\/y**(-7)*y)\/y)\/(y**0*y)) assuming y is positive.\nAnswer: y**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -87.2931 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**2*f*f)**19\/(f**2)**(20\/11) assuming f is positive.\nAnswer: f**(1005\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34915, -34937, -34959?\nAnswer: -34981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1958, 5839, 12076, 20669, 31618, 44923?\nAnswer: 60584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9*5)\/(15\/(-20)). Let n = -20 + 30. What is the highest common factor of j and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*a**2 + 985533*a - 985533*a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-4 + -6*(sqrt(833)*-2)**2)*3.\nAnswer: -59991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 30. Suppose t + 2*t = u. Suppose t*k - 165 = 4*k. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/8 + -3)*((-85)\/15 - -5). Solve 5*f + 15 = b*g, 4*f - 4 = g - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 94392 and 40973120?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1063261 is divided by 787.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -r**5\/20 - r**4\/8 - r**3\/3 - 5*r**2 - 15*r. Let s(c) be the first derivative of q(c). Calculate s(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 8*u - 8. Let z be n(-9). Let p = -6 - -15. Let w be p*(z - 4\/6). Is 2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776 a factor of 9813337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**5*i - 222006*f**4*i**2 - 768*f - 56*i**2 + i + 2 wrt f.\nAnswer: 40*f**3*i - 2664072*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 73967 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {o: 1, e: 1, z: 1, c: 1, b: 2, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43923038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide (16\/(-6))\/((-2)\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 6\/19  (b) -1\/11  (c) 2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2. Let g(o) = -27*o - 9. Let d(m) = 13*m + 4. Let z(f) = 9*d(f) + 4*g(f). Calculate z(y(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203089.\nAnswer: 43, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 104030191.37 to the nearest 100000.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44*d**3 - 4760*d**2 + 129168*d - 23328.\nAnswer: 4*(d - 54)**2*(11*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 2*p - 3. Let m be 7 + -1 + (-5 - p). Find the first derivative of m - 3 + t + 1 wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 204635 (base 7) to base 9\nAnswer: 53378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-209634)\/(-8))\/((-6)\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 - -1011?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1\/1)\/2 + 22161\/166 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3084973 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6691046440.\nAnswer: 2, 5, 13, 1291, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s + 88 = 0. Suppose -j = -5*j + s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -8*y - 92. Let k be p(-12). Solve 2*a = k*w - 6, 2*w + 2*a = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 15*r + 625 = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 73. Let w(n) = n. Let r(p) = p**2 - 2*p. Let v(a) = o*r(a) - 3*w(a). Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - p)*(3*p**3 + 64*p - 102*p + 57*p) in the form x + u*p**4 + m*p**3 + b*p + q*p**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 782300171.\nAnswer: 19423, 40277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 504 - 6554\/13. What is the nearest to -2\/3 in -2\/17, 1\/5, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196*z - 150*z - 193*z - 200*z + 934*z - 202*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/28)\/(-18*(-16)\/1344)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mxmxmnmxxm. What is prob of picking 1 n, 1 m, and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1961*s + 4001*s + 3301*s + 1085876 = -6462*s for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 9*l**2 + 2*l. Let c be t(-13). Suppose 359 = 4*k + c. Let x be (6\/2 + -2)\/((-4)\/k). Round x to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 56*u**3 - 2*u**2 + u. Suppose -5*l = -o - 5, -l + 27 = -0*l + 5*o. What is the tens digit of v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1749*x + 357*x + 46 - 95 + 49 as l*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14089 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 - 9*l**2 - 6*l + 49. Let p be h(-10). Calculate the highest common divisor of p and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6 + 31 - 11 - 2*r - r**3 + 27*r**2 + 28. Let x be a(27). Suppose -v = -x*v. Solve v = 2*m + 5 - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -376*k*o**3 + 308375*k*o + 70*o**5 wrt o?\nAnswer: -2256*k*o + 1400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j = 38*j + 1386. Let q be j\/(-216) + (-8)\/(-18). Which is the nearest to 0.4?  (a) 1  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -655 + 660. Let z(w) = w**3 - 6*w**2 + 10*w - 18. Let d be z(m). Put 4, 3, -4, d in ascending order.\nAnswer: -4, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (19*o + 5016 - 5016)*(39 - 4 - 6 + 33) in the form p*o + h and give p.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 801 - 799. What is the smallest value in -6, 0.2, y, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 bigger than 381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**4 - 6*z**3 - 7*z**2 + 26*z - 10. Let q(t) = -t**2 - t - 1. Let n(i) = p(i) + 2*q(i). Factor n(y).\nAnswer: 3*(y - 2)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78162 is divided by 19386.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - 0 - (-38)\/(-247). Is 1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d**3 + 25*d**2 + 24*d = 0. Calculate d.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.05 - 0.3?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 23 = 5*j - 0*n, -23 = 4*j + 3*n. What is the tens digit of (70\/j)\/(-2 - (-27)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 821860215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 1239823.\nAnswer: -6\/1239823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 53626373293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 88820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -5) + (-1 + 3 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u + 4*s + 164, 4*u + 8304*s = 8301*s - 126 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 20 = 4*k. Let f(m) be the third derivative of 0*m**4 + 0*m**3 - 1\/240*m**5 + 0*m + 2*m**k + 0. Determine j so that f(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 6. Suppose -4*u = -f - 514, -25*u + 21*u - 2*f + 520 = 0. Let n = 136 - u. Is v greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -491 + 492.496. Let w = -2.189 + b. What is w rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 4. Sort k, 3, 6 in increasing order.\nAnswer: k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y**3 - y + 1. Let b be j(1). Let x = b + 7. Solve m = -x*v + 12, 1 = -5*m - 4*v - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2714001?\nAnswer: 3, 904667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 63217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42918 and 35765?\nAnswer: 214590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 299 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42924*x + 42923*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 505769448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -10326926 to the nearest ten thousand.\nAnswer: -10330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 + 51. Sort k, 1, 27 in descending order.\nAnswer: 27, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04889  (b) -0.5  (c) 0  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847 a factor of 71815054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 846, 2730, 5770, 9966, 15318?\n\"Answer: 578*j**2 + 150*j + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 204073151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6.55 and 3130.\nAnswer: -20501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3841\/917 - -6\/131. Let o = -1504\/87 + 18\/29. Calculate the common denominator of p and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*k**2*n**3 - 3*k*n**3 - 2*k*n**2 + 2*n wrt k.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 201 = 5*f - 0*f, 4*y - 5*f = 263. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p**2 + 70*p - 62. Let w be k(13). Solve -4\/13*c + 2\/13*c**4 - 10\/13*c**2 - 6\/13*c**w + 0 + 2\/13*c**5 = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 14. Let g = -1 - k. Suppose -q = 5*d + 2*q - 4, -4*q = 3*d - 9. Which is the smallest value?  (a) d  (b) -0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - 414\/80)\/((-18)\/(-4)). Let u = l - -1\/12. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 12:22 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x + 25. Let c = 30 - 50. Let g be z(c). Let p(y) = 2*y**2 + y - 1. Let u be p(1). Solve 6*a = 5*m + u*a + 14, -g*m - 13 = -3*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -201\/662 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(-2\/15)))\/(q*q**3))\/(q**(-2\/3))**(3\/2)*q**(-7)\/(q\/(q**(-2\/5)*q))*((q**(-2\/3)*q)\/q)**(-20) assuming q is positive.\nAnswer: q**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 9*h + 396 = 0. Let x = h - 51. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -1  (b) -1\/3  (c) -12.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, i: 3, x: 7, c: 7}. Give prob of picking 1 j and 2 i.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -2*v. Suppose -3*k + 4*b - 8 - 6 = v, 0 = -5*k - 2*b + 20. Suppose -h = k - 8. Calculate the remainder when 16 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2979704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**5\/60 - v**4\/24 + v**3 - 6*v**2. Let w be d(0). Suppose w*t + 70 = 196. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00814 less than 4655?\nAnswer: 4655.00814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 35537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 435176029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.5, 0.3, 1, 49 in increasing order.\nAnswer: -5, -0.5, 0.3, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 16 = -2*f, 0 = -4*h + 2*f. Let t = h + 5. Suppose 336 = 5*l + 2*z, -t*z - 10 = -2*z. Round l to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 AM and 12:24 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14002537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p**3 - 12520*p**2 + 150785*p - 440300 = 0 for p.\nAnswer: -2516, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*w - 2*w + 0*w + (-1 + 3 - 1)*(-2*w + 0*w - 2*w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-45)\/50)\/1)\/(1\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in 4, -8.7, -1\/13, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 7 = 3. Let r be (840\/105)\/(2\/7). Suppose 3*j + d - 16 = -d, -d = 4*j - r. What is the smallest common multiple of j and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 2. Let q be -1*1 - (-3)\/3. Suppose 0 = 3*c - q*c. Give y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -61912.71 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 13 - 9 - 22*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59521024?\nAnswer: 2, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -128*c**3*q**3 + 2*c**3*q**2 + 62*c**3 + 11*c**2*q - 3882*c*q**3 + 386*q**2 wrt q.\nAnswer: -768*c**3 - 23292*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3189193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 - 38. Let n = x + 10. Is n less than or equal to -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 0 - 2*u**2 + 3 - 1 + u**2. Let r(t) = -15*t**2 + 33. What is -33*i(l) + 2*r(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -72 + 32. Let q = m - -39.9999942. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -9) + 2 + -8 + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-8)\/14)\/((-12)\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22723758 by -1502.\nAnswer: 15129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2306 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - l - 157 = 0, 4*b - 3*l + 583 = 2*l. Let x = -241 - b. Let i = -53 - x. Calculate the greatest common factor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 20 = -2*i, 11*p - 7*p - 48 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*w = -25*w - 3. Suppose 5*y + 3*s = 2*y - 9, -2*s - 14 = -2*y. Solve x - y*m = -4, 5*x + 13 = -0*x + w*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 4 = -4*r. Let m = -914 - -937. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + j + 2. Let y(i) = -65*i**2 + 4*i + 6. Calculate -4*p(z) + y(z).\nAnswer: -69*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (19 - (2 - -11))\/((-3)\/(-3)). Solve -2*x + 2*v - d = 0, -2*x + 11*v = 10*v + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g - 1 = 3*t - 43, -18 = 3*t + 4*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k**2 - 7*k - 11. Let q be o(8). Let b = q + 473. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(360) - -2*sqrt(360))\/sqrt(10))\/(sqrt(12) - (sqrt(12) - -1*sqrt(192))) - (sqrt(36)\/sqrt(1452) - sqrt(27)\/sqrt(9)*2))**2.\nAnswer: 7803\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-793)\/(-117) + (-10)\/(-45). Solve 3*f + 3*i - 9 = 0, f - d*i + 10*i - 9 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2, 0, 4, 10, 18, 28?\n\"Answer: o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 273224 and 204?\nAnswer: 819672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 432 = v - 0*v, 5*v - 2232 = -m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 12 - 8)*(-82 - 7*n + 82)*(2*n + n**2 - 2*n) + 5*n**3 + n**3 - 3*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -605*a**2 + 2012*a - 177. Calculate o(3).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89\/(-712)*6\/(-9)*-9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -873078, -873081, -873086, -873093, -873102, -873113?\n\"Answer: -a**2 - 873077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 5)*(-2*q + 2*q + 14*q**2).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11010 - -13?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2853425 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (7 - (12 + -6 + 26 + -15))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9427 and 37708.\nAnswer: 37708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(114)*-5)\/((sqrt(66)*2 + sqrt(66))\/sqrt(11)*-2).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 113*y**4 + 12*y**4 - 6*y**4 + (-y + y + 2*y)*(-y**3 - y**3 + 4*y**3) in the form c*y**4 + a*y + p*y**3 + h*y**2 + i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 10*k**2 - 10*k + 12. Let o be u(9). Suppose -2*t = o*t. Let x(z) = z**3 + z**2 - z - 9. What is x(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-15)*(-27)\/(-60)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 6)*(4*q - 7*q + q + (2 + 3 - 4)*(3*q - 2*q - 3*q) + 27*q - 240*q + q) to the form p*q + n and give p.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5784 or 5782?\nAnswer: 5782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/9 and 14\/20 + (-2)\/1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -6*k + 3*k. Let f = 0 - k. Let y = 3 - f. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15533 and 7693.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmxmhohmxnxoxhxoxxo. Give prob of picking 1 o and 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - m - 1)*((-m**2 - m**2 + 0*m**2)*(-m + m - m**2) + 3*m + m**4 - 3*m - 26*m**2 + 26*m**2 + 8*m**4).\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33660*p**4*x**2 - 678*p**2*x**2 + p**2 + p wrt p?\nAnswer: -807840*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 708*z - 704*z - 16 = 0. Let i = 0 + 4. Suppose 2*a = -i*o + 506, 0 = z*a + 3*o - 0*o - 1022. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 85\/8  (b) 4\/5  (c) 5  (d) 2\/7  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-14 - (-13 + (6 - -7)) - 49)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**3\/7 - 914*x**2 + 102952*x\/7 + 231480\/7 = 0.\nAnswer: -3215, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*-1*14\/273?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2323 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -268 - 155. Let o = m - -2039. Suppose -3*s - 2*a + o = -a, -3*a = -s + 552. Round s to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 2) + (-64 + (-2 - -5) - 5) + -2\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -308 + 308 - 13*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16275 and 4453575.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 86880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2717770*s**4 + 45*s**3 - 245208931.\nAnswer: 10871080*s**3 + 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 11*o + 12. Let t be n(9). Let g be (-2)\/6*(t - 0). Let a = g + 0. Solve -h + 3*w + 5 = a, 0 = 5*h - 5*w - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 149*v = -153*v - 52, -3*r - v = 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21057 (base 10) to base 2\nAnswer: -101001001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2789.778 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(0*y**3 + 2*y**3 + 0*y**3) + (0*y + 0*y - 2*y)*((-2*y + 3*y - 3*y)*(-2 + 2 - y) + 5*y**2 - y**2 - 3*y**2).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + 9 + 5 + (-21 - -8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.1444381ml?\nAnswer: 0.0001444381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((8\/(-8))\/(4\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 421, 839, 1259, 1681, 2105, 2531?\n\"Answer: p**2 + 415*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127501040 is divided by 815.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (1 + 2 - (-6 - -9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (3 + 4) - 1 - 0 - -20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*k - 11*k = -k + 1500 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.2, -3\/16, -4, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/2)\/t**(8\/11)*t*t**5*t\/(t\/(t\/((t*t**1)\/t)*t)))**(17\/5) assuming t is positive.\nAnswer: t**(2533\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1941*j - 543*j + 583*j in the form s + g*j and give g.\nAnswer: -1901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**2 - 35*i**4 + 3*i**3 + 2*i - 16 - 7*i + 19 to the form u*i**3 + o*i**2 + x + b*i + n*i**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v - 4. Let p be x(-3). Solve 27 = p*o + 2*a, 2*o - 6*o = -3*a - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66493703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 110010000110101100011101 (base 2) to base 11\nAnswer: 7461265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -34384569.7 minus 4?\nAnswer: -34384573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 494, 1158, 2020, 3122, 4506?\nAnswer: 6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -185 - -283. Suppose -5*s + t = -67. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 8:45 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -866*v = -876*v. Sort -2, -6, v, -8 in increasing order.\nAnswer: -8, -6, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 7\/605516?\nAnswer: 7\/605516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*s + 4460 + 4814 + 5*s**2 - 2304 - 4*s**2.\nAnswer: s**2 - 32*s + 6970","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*d + 5*i = 12, -2*d + 4*i + 24 = 0. What is the lowest common multiple of d and 2204?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 923717?\nAnswer: 337, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-893*n**2 + 2055*n**2 + 2 - 2*n - 882*n**2)*(-2 + 2 + 2*n**2).\nAnswer: 560*n**4 - 4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**2 + 967*v - 6655. What is f(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 6*g + 21*g + 11*g to i*g + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4589*r**3 + 18320*r**3 - 4585*r**3 - 4585*r**3 - 4576*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-5))\/((-4)\/290). Let w = s + 97. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 15 + b - 3*b - 2*b.\nAnswer: -4*b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + 6*h + 4. Let g be p(7). Let z = 13 - 8. Let u = z + g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 5*s + 225 = 0. Let z = s - -47. Let x(w) = 2*w**3 - w**2 - 2*w + 3. Give x(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20369?\nAnswer: 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 585350 by -1018.\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 123541 and 141207.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-790)\/1185)\/(((-1)\/(-9))\/(11\/(-6)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from hkyhhhuhjkukhhhuyjkk?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 4*a**2 - 2 + 2 - 4*a**2 - a**2 in the form w + t*a + z*a**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 208885 at least as big as 208883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*v - 17, 5*r - 3*v = 25 - 21. Sort -10, 5, r in descending order.\nAnswer: 5, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 5*j - 4*d - 28, 5*j - 10 = -5*d. Suppose -3*i = -0 - 6. What is the third derivative of 0*s**2 - 5*s**i + 5*s**6 + 2*s**j - s**2 wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 503759*r**5 - 131*r + 143 wrt r.\nAnswer: 10075180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**0)**(-9)\/(((g*g\/g**(2\/9))\/g)\/g**(-5)) assuming g is positive.\nAnswer: g**(-214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3502 + -8742. Round f to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.036 less than -220?\nAnswer: -219.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13335, 1, -388, 0.4.\nAnswer: -13335, -388, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(70) + 1*sqrt(70)*5)*1)\/(4*(sqrt(800)\/sqrt(5) + sqrt(10))))**2.\nAnswer: 63\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*a**3*c**2 + 31*a**2 - c**2 - 137 wrt a?\nAnswer: 15*a**2*c**2 + 62*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 - 494730*w**2 - 1484145*w.\nAnswer: -5*w*(w + 3)*(w + 98943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-13))**(1\/84)\/(y*y*y**13*y)**(-1\/33) assuming y is positive.\nAnswer: y**(305\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4 + sqrt(117) + 0 + -1)**2.\nAnswer: 18*sqrt(13) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2*j = 20, 0 = 4*l - 5*j - 14 - 34. Let s be 8036\/l*(-3)\/(-6). Suppose 0 = 8*g - 74 - s. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -12. Let v = -5.8 + w. Which is the biggest value?  (a) 3  (b) -0.2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81990871 + 40995433 + 40995438 + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7619 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 97*n - 87*n - 30. Solve 1656\/5*z**4 - 778\/5*z**n - 16\/5 - 188\/5*z**2 + 136\/5*z - 162*z**5 = 0.\nAnswer: -2\/5, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-1 + -1*6*(sqrt(192) + sqrt(192)*-2))*-1*1)**2.\nAnswer: -27652 + 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-4 - -1)*(0 + -2) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-1)\/6*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*r*s**4 + 737065*r*s**3 + 2*r*s**2 + r*s + 9838*r - s**4 + 5*s**2 + 11*s + 2 wrt s.\nAnswer: -480*r*s + 4422390*r - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -159 - -166. Let r(d) = 3*d**2 - 15*d - 8. Calculate r(i).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 12972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -53008362 > -53008362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/4*(-18)\/10)\/((-14)\/(378\/(-1053)))\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/2 and 93\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -240 divided by 120?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(-9) + 420\/315*(-2)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3\/5 - 2593548*n**2\/5 + 197096652*n\/5 - 748950816.\nAnswer: 3*(n - 864440)*(n - 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 3:31 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2*p**2 + 2)*(-36 - 12 + 15 + (2 + 1 - 5)*(1 + 0 - 3)) + (4 - 2 + 1)*(1 - 1 - p**2) to the form h*p**2 + n + r*p and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 57*l - 399. What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)\/sqrt(2)*6)\/(sqrt(200)\/sqrt(2)) - 3*sqrt(40)\/(sqrt(40)\/sqrt(5))*-5)**2.\nAnswer: 6561\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3511*j**5 + 1028*j + 4.\nAnswer: 70220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.6 * 0.3.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1459 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 9. Suppose -c - 33 = -o*p - 4*c, -3*c + 6 = 0. Suppose -p*q - 126 = -684. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + 645\/559*39.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -202.1866 - 82?\nAnswer: -284.1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**3 + 3*h**2 - 2*h + 12. What is u(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (2 + -3 + 1)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 3*s**2 - 9*s - 20. Let r be z(-2). Factor 12*a**3 - 12*a - 2*a**4 + 6 - 19 + 18*a**2 - r - a**4.\nAnswer: -3*(a - 5)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39938*q - 52954*q + 35565*q.\nAnswer: -57327*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 17 + 6. Suppose 2*i = -7 + o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, p: 6, a: 5, y: 1, u: 2}. Give prob of picking 1 p, 1 e, 1 a, and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)\/(sqrt(8)\/sqrt(4)) + 4)**2 + (sqrt(175) - (-3 + sqrt(175) + 1))**2)*6.\nAnswer: 48*sqrt(7) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 325081.3 to the nearest one hundred.\nAnswer: 325100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -1.544\nAnswer: -3.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 37  (b) 0.1  (c) 3.9  (d) 92\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x. Let d(o) = 5*o**2. Suppose 3*f - 4 - 2 = 0. Let h(k) = -4*k**2 + 2*k**2 - 2*k**f. Let l(n) = -3*d(n) - 4*h(n). What is l(m(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p + 9 - 2*p - 3*p - p. Let b be q(4). Factor 33*d**2 + b - 20*d**2 - 16*d**2 + 2.\nAnswer: -3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = f + 14, -4*f = -44 + 64 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1095331\/290 - 3777. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 3*r + 9, -262*k + 265*k + 2*r - 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 12669739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.37 - 4.3. Let z = c + -0.11. Which is bigger: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -2*w + 66, -g - 3*g - 3*w = 132. Let q be 0 - (6\/g - 0). Let a be 80\/720 + (-10)\/9. Is a not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5716483205 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, o: 7, v: 4, a: 2, w: 2}. Give prob of picking 1 m and 1 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 34 = 3*b - w, -4*b + 3*w = -25. Let u be 28\/30 + -8 + (-420)\/(-50). What is the nearest to b in -0.3, u, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -3. Suppose 2*b = -0*b + 8. Suppose 4*c = 4*k - 32, -b*k + c + 0 = -20. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k - 14. Give v(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 2\/5, -1\/3, -0.6, 0.11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118 by -25.\nAnswer: 118\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, h: 6, c: 1, n: 2}. Give prob of sequence zzzc.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1545539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109 = 44*o + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 28*n**2 - 54*n + 44. Let r be c(30). What is the greatest common divisor of r and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*t. Let n(c) = 4*c**2 - 2*c**2 + t*c**2 - c**2 + 3 - 3*c. What is the tens digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 151, -2\/3, -0.4?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 (base 6) in base 10?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 345083097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 + 26. What is the second biggest value in 1.3, 1\/3, j, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**4\/36 - 41*n**3\/9 + 83*n**2\/6 + 1127*n. Determine c so that z(c) = 0.\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 185220 and 28539.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 1)*(1 - 2*l - 1) - 3*l + l + 6*l + 0 + 0 - 2*l - 3*l + 3*l - 7*l + (-1 + 1 + 2)*(4 - 4 - 2*l)*(105 - 38 + 37).\nAnswer: -417*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 203113099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31652659\/3287190 + -11417\/9006. Let s = l - -53\/5. What is the common denominator of s and -70\/3?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 14*b**2 - 14*b - 84. Is 16 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, z: 1}. Give prob of sequence ss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 152058807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 13*t = -8*t + 226, x = -4*t + 81. Let l(p) = x*p - 13*p + 25*p + 107*p. Let q(s) = -2*s**2. Determine l(q(g)).\nAnswer: -392*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -7660*m - 16262. What are the prime factors of s(-9)?\nAnswer: 2, 26339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6*((-1444)\/(-12) - (-1)\/6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.11 + 1.09. Let k = 1.4 - v. What is the nearest to 1 in k, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 58*k - 40. Let q be 316\/20 + 2\/10. Let d be y(q). Suppose -13*z + 1595 = -d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 + 3 + 1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 11, g: 4, e: 4}. Give prob of picking 1 s and 2 g.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 335\/6 + 2\/12. Suppose 0 = -v*k + 61*k - 50. What is the least common multiple of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Let z = -0.1218 - -0.1218. Let x = z - m. Do x and -0.11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 215*d - 634. Give m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2154 and 360.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*x - 792, 5 = -2*x - 1. Let v be 8 - (-5 - r\/(-21)). Which is the closest to v?  (a) 4\/9  (b) 0  (c) 0.2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 8*n = 45. Let p = n - -155. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (19 + 2)*(-2)\/(-6). Solve 4*q + 7*n + 27 = 4*n, 0 = -q + 2*n + j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1218 and 59.\nAnswer: 71862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18337103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74 + -48. Calculate the greatest common divisor of y and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y = -6*y + 2*u - 7, 3*y - 15 = -3*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Let s be (1 + 0)\/(f\/(-1)). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*r = b - 311, 4*r - 2*b - 642 = 0. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 10*k**4\/3 - 4*k**2 + 2*k + 21. Let w(b) be the first derivative of q(b). What is the derivative of w(s) wrt s?\nAnswer: 80*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-7)\/21)\/(2\/(-12)). Factor i**z - 12*i + 18*i - 2 + i**2 - 6*i**3 + 0*i**3.\nAnswer: -2*(i - 1)*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = 8 - 0. Let z be (0 + s - -1)\/(1 + -3). Suppose -2*i = g - 11, 0 = 3*i - g - 10 + 1. Solve -5*c + 2*b + 0*b + 1 = z, i*c + 13 = -3*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u**5\/2 + 101*u**4\/2 + 1484*u**3 + 10636*u**2 + 26312*u + 21160 = 0. Calculate u.\nAnswer: -46, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6131.\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19908*v**2 + 4029*v**2 + 15877*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - 952\/(-42))\/(498\/(-171) + 3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(153)\/sqrt(9)*-5 + 3 + (sqrt(136)*5)\/sqrt(8) + 3 + sqrt(17) + 0)**2.\nAnswer: -168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 10:45 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -2505100 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b + 7. Calculate the remainder when 42 is divided by k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 353934*-2.\nAnswer: -707868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -9*y**6\/40 + y**5\/30 - y**4\/4 + y**3\/6 + 45*y**2. Let u be n(-9). Round u to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11760?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75576 is divided by 830?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 12*y - 120 = 0. Let x = 27 - y. Solve 4*l + x = -f, f = -5*l - 16 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 6:05 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09, 0.5, 29, 1\/6, -1\/12 in decreasing order.\nAnswer: 29, 0.5, 1\/6, -1\/12, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + 0)**2 - (sqrt(19) + 1)*1 - (1*sqrt(1216) - (sqrt(76)\/sqrt(4)*-1)**2))*-6.\nAnswer: -1932 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2. Let c = 410\/11 - 13065\/352. Let i = -7\/160 - c. What is the second smallest value in m, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -48*m**3 - 28*m**2 + 19*m - 19466. Let c(g) = 10*g**3 + 6*g**2 - 4*g + 3893. Give -4*a(z) - 19*c(z).\nAnswer: 2*z**3 - 2*z**2 + 3897","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4130, 16994, 38436, 68456?\nAnswer: 107054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 209.082899 rounded to two dps?\nAnswer: 209.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12884*m = 13569*m - 34935 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1302657415 - 1302657277.0000059. Let z = -138.006 + 0.006. Let q = z + j. Round q to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 3:00 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -463 = 8*h - 415. Let u(i) = -29*i - 170. Let s be u(h). Solve -r + 6 = d + r, 0 = -3*d + r + s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**3\/6 - 9*n**2\/2 - 2*n. Let x(r) = 1. Let y(t) = 2*x(t) - z(t). What are the prime factors of y(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285 - 348 = -7*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3853  (b) 2  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 9*k = -30, 0 = -266*k + 229*k + 20 - 94 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 1288 + 336 = 0. Suppose -2*x - 5*y = -6*x + k, -y - 74 = -2*x. Suppose 0 = -3*u + 483 - x. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 divided by 481?\nAnswer: -55\/481","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + v = -22671 - 4514. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -346944 divided by 86736\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38*h**3 - 106*h + 121*h - 3*h**4 - 3 + 22*h**3 wrt h?\nAnswer: -36*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -48154*1\/(-4) - 3\/6. Let o = 17001 - x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*((5*(sqrt(121)*-2 - sqrt(121)) - sqrt(121)) + -5*-2*sqrt(121)))\/((sqrt(891) - (sqrt(891) - sqrt(891)*-1))*-5 - (2*sqrt(891) - sqrt(891))*-5))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -604*m - 595*m = 570*m - 1852*m + 5395 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpzppdzpdzpd. Give prob of sequence zzp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/5)*u**24)\/((u\/(u*u*u**(2\/19))*u)\/((u**1*u)\/u)) assuming u is positive.\nAnswer: u**(2461\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2270 and 1190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*i = -119*i - 1475. List the prime factors of i.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w**2 - 3*w**2 + 5*w**2 + (-3*w**2 - 3*w**2 + 5*w**2 - 2)*(-4 + 16 + 22) in the form j + r*w + b*w**2 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -58, -31, 12, 71, 146, 237, 344?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -4*d + 73. Calculate n(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, h: 1, u: 2, q: 1, l: 4}. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwvqqdqwww. Give prob of sequence qdq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4*p = 0, p + 8 = 5*z - 7. Let f be (2\/(-12))\/((-2)\/z). Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*h - 1060191 + 4107070 = -649898. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 1236544*v**3\/9 + 13606432*v**2\/9 + 48932*v\/9 + 44\/9 = 0. What is v?\nAnswer: -11, -1\/556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-291)\/(-1) - (-2)\/(-2). Suppose 0 = 5*i + 2*u - 19, -2*u + 4 = 2*i. Suppose i*g - 3*g = w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -208700*h*z + 78*h - 536 with respect to z.\nAnswer: -208700*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -6 - 18. Suppose 4*q + 20 = -q. Let m be (6 + -8)\/(q\/(-10)). Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*h**2 - 28*h**2 - 20*h**2 + 76*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14\/49 + 0 + (-724)\/(-14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*b - 2*b. Suppose q + w = -2, 4*q - 5*w + 3*w = 16. What is the third derivative of 4*a**6 - a**q + b*a**2 - 5*a**6 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119154.\nAnswer: 2, 3, 7, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14636, -11990, -9344?\n\"Answer: 2646*m - 17282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*(14\/(-4))\/7. Suppose -2*i - 8 - 6 = -5*x, 3*x = s*i + 12. Let v = 88 - 89. Sort 4, x, v in decreasing order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3865 - 2666. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*y - 4 = -45*y. Let o(t) be the first derivative of -4\/9*t**y - 4\/27*t**3 + 0*t - 4. Factor o(a).\nAnswer: -4*a*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-616)\/(-55)*(-525)\/420?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 81 - -cc?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.089 - 0.609. Let j = l - -0.82. Let r(m) = m**2 + 4*m - 5. Let z be r(-5). Which is the closest to -0.1?  (a) j  (b) -1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 6, u: 8, v: 1}. What is prob of sequence uu?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26475 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -308068 smaller than -308043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 11 - 2. Solve -b*p + p + 4*l - 14 = 0, 15 = -p + 4*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/3*a**4 - 4*a + 5*a**3 + 5\/3*a**2 - 4\/3 - a**5 = 0.\nAnswer: -2, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/10 - (-48)\/(-60). Let n = 2 + 7. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6017.2891 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1321342943.\nAnswer: 137, 9644839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y**3 - 7*y**2 + 4*y - 11. Is o(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {s: 3, a: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 373254203 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -16592 (base 12) to base 13\nAnswer: -116c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2151464 divided by -8?\nAnswer: -268933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (232*z + 2*z + 183*z)*(0*z - 3*z + z) + (z**2 + 2 - 2)*(3 - 2 + 2) to the form l*z**2 + g*z + u and give l.\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 4*w + 2*o - 17 = 0, -21365*w + 21354*w - o - 2*o = -10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.07, -0.1, 5\/3, -1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 51*f + 283. Let d be t(5). Let k(r) be the first derivative of -r**3 + d*r + 1\/4*r**4 - 7 + 0*r**2. Calculate k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000565938005 rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -715*f**2*k**3*t + 2515*f**2*k**2 + 2*k**3*t - 3*k**3 wrt t?\nAnswer: -715*f**2*k**3 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - -3)*3\/1. Let q be (-1)\/(-3) - (-16)\/(-48). Suppose -5*s + 10*s - 20 = q. What is the highest common divisor of s and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 5*a = 20. Suppose 0*w + 36 = -4*f + 4*w, 0 = -2*f - 4*w - 12. Let b be 2\/(-2 - f) - 0. Sort -3\/7, b, a in increasing order.\nAnswer: a, -3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17592 divided by 6\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 10:15 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3621 + 3539. Is z less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 22.83. Let g = 0.17 - d. What is the closest to -0.1 in 1\/6, g, -4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 42, -1, 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k**3 + 48*k**2 + 86*k - 20. What is r(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314 - 333 = -19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -5. Let s(g) = -t + 0*g + g + 0*g. Let b be s(12). Solve -u - 1 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 5) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 254\/16161  (b) -36  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-520)\/(-195)*(-198)\/(-1232)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 - -58. Suppose 2*r - f = 15. Let b = -12 + r. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2378*c**2 - 162*c**3 + 2378*c**2 + 5 in the form z + r*c + f*c**3 + i*c**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*((((u\/((u*u**(-2\/47)*u)\/u))\/u)\/u)\/u)\/u)\/u**6 assuming u is positive.\nAnswer: u**(-374\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 + 105*m**3 + 2496*m**2 + 8112*m.\nAnswer: -3*m*(m - 52)*(m + 4)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 16*c**2 + 9*c + 183. Calculate the smallest common multiple of h(-16) and 7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 7:31 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f + f - 5 - 4*f. Let v(b) = b**2 - 15*b + 25. Let w be v(14). Let r(x) = 4*x + 7*x - 12*x + w - x. Give -7*d(j) - 3*r(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 1. Let y be -3 + (-3 - (-21)\/3). Suppose -5*z + 8*v - 7*v = -92, -v - 2 = 0. Let f(a) = -3*a - 18. Give y*f(l) + z*q(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -29  (b) 2\/17  (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 527081 in decreasing order.\nAnswer: 527081, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.1, 1, 196, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.1 + -2.1. Which is the fourth smallest value?  (a) -1  (b) 1\/5  (c) h  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 588762.027 seconds?\nAnswer: 0.9734821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 14697564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, e: 4}. What is prob of picking 1 e and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3*i + 0*i + 2*i**2 + i**3 + 4*i to b + d*i**3 + q*i + p*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1653 - 1607. Let s be 2 - 1 - (-113 + -1). Calculate the highest common divisor of s and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 1. Suppose -s + 25 = -5*j - 2, 3*j = -4*s - 7. Let i(z) = -z. Calculate s*r(k) + 5*i(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 PM and 1:36 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -30 - 18*p + 21*p**2 - 6 + p**3 - 8 - 35*p + 5*p. Let y be h(-23). Solve y*w - 8 = -2*u, -w - 3*u + 3 = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2064*l - 2056*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27774.07 litres to millilitres.\nAnswer: 27774070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*p + 739*p**3 + 2 + 4 - 38*p wrt p?\nAnswer: 4434*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k - 19*k**2 - 16*k**2 - 11*k**2 as y*k**2 + w*k + i and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 74567472 to the power of 1\/2, to the nearest integer?\nAnswer: 8635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1626085 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 3*x - 43629, -3*x = -3*k + 17831 + 25804. Is k a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 + 357. Calculate the common denominator of -17\/8 and g\/(-100) - 1\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 700*y**2 + 2065*y + 1370.\nAnswer: 5*(y + 1)*(y + 2)*(y + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1057\/(-140) - -8)\/(1\/4))\/((-6)\/90)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*x + 142 + 719 - 1 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 1553?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -250435640 - 5?\nAnswer: -250435645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -3 - (37 - 33)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2968 at least as big as 2989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-7\/6)*(l*l**34)\/l assuming l is positive.\nAnswer: l**(197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, s: 2, g: 1, x: 9, n: 2, t: 4}. What is prob of picking 1 i and 1 g?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/2203 or 1?\nAnswer: -2\/2203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -27, -139, -335, -615?\n\"Answer: -42*c**2 + 14*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 7*o + 4. What is j(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14109, 55476, 124409, 220902, 344949, 496544, 675681?\nAnswer: 882354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (10\/60)\/((16\/36)\/(-1))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 313 + -310. Let l(s) = -s**3 - 4*s**2 - 2*s - 3. Let n be l(-4). Solve t*f - n = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34756999\/143 + -243054. Let v = -23\/11 + z. What is the nearest to 0.2 in -0.2, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3361 + 2128. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -4*(-60)\/(-40)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x**4 + 40024*x**3 - 16440768*x**2 + 2240975360*x - 101704916992 = 0. Calculate x.\nAnswer: -40432, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 - 25*g - 78. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151659734?\nAnswer: 2, 29, 2614823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*d - 111*d - p + 825 = 0, 2*d - 1680 = 3*p. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -0.1  (c) 0.8  (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 3146 + 3*s**2 + 2952 - 2672 as t*s**2 + w + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -3*x + 44, 3*x - 19 - 27 = 5*s. Suppose -w + 5*p + x = p, 0 = -5*w - p + 123. Suppose 2*u + 2*u - w = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cmc when three letters picked without replacement from wwwmmcmwc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 233.44463 - -0.17537. What is n rounded to 0 dps?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66\/(-1617)*-837543 + (-6)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 4\/3*y**3 - 28 + 0*y + 15\/2*y**2. Let c(s) = s**2. Give a(c(h)).\nAnswer: 4*h**4 + 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8 + 18)\/((-3)\/(-33)). Let g = -137 + i. Which is greater: g or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 3)*(828*i - 172*i + 324*i + 1951*i + 639*i)*(1 + 3 - 6) as l + u*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 13.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-10)*8\/((-128)\/(-30)). Let j(l) be the first derivative of -2*l**2 + z*l**4 + 0*l**3 + 0*l + 4. What is the second derivative of j(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**3\/9 + 32*u**2\/9 - 602*u\/9 + 1960\/9 = 0?\nAnswer: -28, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(2*sqrt(252) - sqrt(252)) + sqrt(252))\/(-1*sqrt(36)\/sqrt(3)))\/(sqrt(144)\/(sqrt(144)\/(sqrt(12) - sqrt(432)))).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -503\/85, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2*f**2)*(-3 + 58*f + 4 + 5*f) + (-31*f + 13*f + 11*f)*(0*f + 0*f - 2*f**2) as q*f + p*f**3 + j + g*f**2 and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of z**5\/35 - 2*z**4\/21 + 21*z. Factor h(b).\nAnswer: 4*b**2*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3753773.193 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 4, 8, -4 in ascending order.\nAnswer: -4, -3, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -640*a**3 - 835*a**2 + 2935*a. Let c(m) = -59*m**3 - 76*m**2 + 267*m. Let f(g) = 65*c(g) - 6*r(g). Solve f(s) = 0 for s.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16) + sqrt(96)\/sqrt(6))\/sqrt(8) + sqrt(2))*-4.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7236.586 milliseconds to nanoseconds.\nAnswer: 7236586000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20*(-234)\/2250 + (-2)\/25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (239*p**4 - 988*p**4 - 1475*p**4)*(3*p - 3*p - 2*p).\nAnswer: 4448*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.2 - 1.24. Which is the nearest to -13?  (a) 0.5  (b) j  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**2. Let z(a) = 8*a. Suppose 6 = -5*q - 3*i, 6*q + 2*i + 3 = 3*q. Let f(w) = 40*w. Let c(k) = q*f(k) + 16*z(k). What is h(c(r))?\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -217526*h**2 + 1522778*h - 672.\nAnswer: -2*(h - 7)*(108763*h - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -209*f - 252 wrt f.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -9*a + 52. Let x be -11 - 3*266\/(-42). Calculate f(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50459.29cm in millimeters?\nAnswer: 504592.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 18*t. Let v(b) = -12*b - 1. Calculate x(v(i)).\nAnswer: -216*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1053) + sqrt(1053) + sqrt(1053) + -2)**2 + ((sqrt(1053) - (sqrt(1053) + -2 + sqrt(1053)))**2*6 - sqrt(1053) - sqrt(1053)) + 0.\nAnswer: -342*sqrt(13) + 15826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8522483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1681, -6869, -15563, -27763, -43469?\nAnswer: -62681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 - 78*w**2 + 8*w - 317. Give j(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*14*(-2)\/8. Is t at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hxv when three letters picked without replacement from {v: 3, x: 1, h: 13}?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.525 - -0.475. Which is the closest to -1\/43?  (a) -3  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4432122023 (base 5) to base 2\nAnswer: 100100110010110011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/52)\/(-3*(-15)\/(-18)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, g: 7}. What is prob of sequence zgzg?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55 or -0.20037?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3373*o - 6166*o + 9506*o.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -1  (c) 0  (d) -27\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -830*f**3 + 7051*f**2 + 819*f**3 - 14105*f**2 + 7054*f**2.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.77 + 0.37. Which is the second biggest value?  (a) -2\/11  (b) d  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 153\/((5 - 2)\/(-3)). Let a be (-6)\/9 + (-22)\/3. Let i be a\/(-6)*l\/(-6). What is the highest common factor of i and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 172871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 659531503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33.1 * 0.07.\nAnswer: -2.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - y - 3)*(1 + 0 - 2) + (-y - y + y)*(-3931 - 449 + 4137) to u + v*y and give v.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 709 - 2595 - 560 + 26*q - 16*q + 0*q + 0*q + 2*q + (5*q - 2*q - 4*q)*(-4 + 2 + 4) - q + 0*q + 2*q.\nAnswer: 11*q - 2446","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -102 - -102.0001628. What is t rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52992827 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010682 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2233\/28 + -4)\/((-45)\/(-1380)).\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 1\/15*f**6 - 4*f - 1\/12*f**4 + 0*f**5 + 0*f**2 + 0*f**3 + 0. Find the third derivative of x(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-386)\/6)\/((-7)\/21). Let j = k - 193. Find u, given that -2\/7*u**3 + 6\/7*u**5 - 10\/7*u**4 + 10\/7*u**2 - 4\/7*u + j = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or -4.34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(343) + -1)**2 - (sqrt(847) - sqrt(847)*1 - sqrt(847) - (sqrt(77)*-2)\/sqrt(11)).\nAnswer: -5*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s + 29. Suppose -2*v = -17 - 1. Let n be i(v). Suppose n*w - 121 = -7. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14599 + -14594. Which is the second smallest value?  (a) -1\/4  (b) -1229  (c) g  (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3099 or 54250?\nAnswer: 3099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2355544 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15084 + 15141. Let w(v) = -v - 47. Let g be w(0). Let m = g + q. Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -5  (c) -0.4  (d) 2.7  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -182, 2, 601 in decreasing order.\nAnswer: 601, 32, 2, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 divided by 52.\nAnswer: -23\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 385355059 - 385355036.8999993. Let h = -22.1 + j. What is h rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 8, -10*l + 8*l = -f - 10. Suppose -4*m + 4*p = -12, -l*m - 2 = -p + 1. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14431 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9884 - 112*l + 9884)*(5*l**2 - 3503*l + 3503*l + 6 + l**3) as b*l**3 + s*l**2 + d*l + n + v*l**4 and give d.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -0.5  (c) 2\/9  (d) -255  (e) -13\/4  (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3609*t - 286 = -3622*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1054 + 527 + 527 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/2*(21\/(-9) - -1). Let x(k) = 3*k + 1752*k**2 - 1 - 4*k - 1565*k**2. Is x(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 32 + c?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o - 12. Let s be b(-13). Let l = 83 + s. Suppose -3*h + 5*h = l. What is the least common multiple of h and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 379.927 to zero dps.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 15*g + 8. Let i(v) = 14*v + 7. Give 6*c(b) - 7*i(b).\nAnswer: -8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 1:51 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -437*d = 245*d + 584*d - 65832 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -121*q**5\/5 - 7667*q**4\/3 - 5552*q**3\/3 - 504*q**2 - 6167*q. Find g such that d(g) = 0.\nAnswer: -63, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2 + 44*j + 336 = 0.\nAnswer: -6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 428172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v**2 - 4*v**2 + 3*v**2 + (2*v + 0 + 0)*(v - v + 2*v) + 0 - v**2 + 0.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -808842 or -808786?\nAnswer: -808786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11165570 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r. Let n(j) be the first derivative of 3*j**2\/2 - 3*j - 413. Suppose -2*p + i = 3*p - 5, 3*i = 4*p - 4. Calculate p*n(a) - b(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 8:32 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -32. Suppose 5*o + 29 = s*r + 1, -3*o = 3*r - 48. What is the greatest common factor of r and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 4:38 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3269 + -2?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -29*u**6\/30 + u**3\/2 + 51*u**2\/2 - 565*u. What is the second derivative of s(y) wrt y?\nAnswer: -348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**4 + g**3 - g**2 - g - 1. Let n = 23 + -20. Let a(y) = -35*y**5 + 63*y**4 - 12*y**3 - 13*y**2 - 3*y - 3. Let z(f) = n*i(f) - a(f). Factor z(h).\nAnswer: 5*h**2*(h - 1)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**3 - 2*l**2 - 3. Suppose 0 = 5*m - 28 - 62. Calculate the remainder when m is divided by t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/(-112)*(-21)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 842 - 419. Let o = t + -422.783. Round o to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-6)*65\/(289835\/(-147)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 4*w**2 + 78*w + 12. Let o be x(-11). Let i be 2 + 3618\/170 + -1. Let f = i + -112\/5. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1371079m to millimeters.\nAnswer: 137.1079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 72 + -48. Calculate the lowest common multiple of f and 39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8480 and 35?\nAnswer: 59360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 605, 1150, 1755, 2450, 3265, 4230, 5375?\n\"Answer: 5*k**3 + 510*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -427, -940, -1451, -1960, -2467, -2972?\n\"Answer: r**2 - 516*r + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3091000383 to the nearest integer?\nAnswer: 55597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3891 * 8\nAnswer: -31128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 1)*((-7)\/(-2) + -3). Is (q\/(-3))\/((-2)\/(-7269)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 - (-6 - (2 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1049717?\nAnswer: 1049717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.034222137 to four dps.\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6751 + 4031 - 3222 = 504*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -3. Let x(v) = 11*v - 18. Let q(c) = -5*c + 9. Let r(d) = a*q(d) + 4*x(d). Let y be r(6). Which is smaller: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in 186, 0.045, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-2 - 2) - 12\/(-16)*(-888)\/(-612)\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 17*p**3 + 11*p**2 + 3*p + 3. Let c(k) = -3*k**3. Let x be c(-1). Let w(m) = 3 - 3 + 1 + m + 4*m**2 + 3*m**3 + 3*m**x. Give 4*j(u) - 11*w(u).\nAnswer: 2*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j + 5 + 0*j - 3*j. Let f be t(4). Let l = -4 - f. Which is the nearest to 1?  (a) -4  (b) 4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y - 453 = -1335. Let x = y - 75. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -189, -750, -1685, -2994, -4677, -6734, -9165?\n\"Answer: -187*i**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 11, 4, 0, 1069 in increasing order.\nAnswer: -3, -1, 0, 4, 11, 1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s. Let f(t) be the third derivative of t**4 + t**3\/6 + 117*t**2. Calculate 11*a(u) + 2*f(u).\nAnswer: -7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + (-47 - 22) + -48 + 165?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43 by -43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2880, -2879, -2878?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426576?\nAnswer: 2, 3, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 577017361 + 5?\nAnswer: 577017366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -14*b. Let j(g) = 10*g. Let l(y) = 10*j(y) + 7*o(y). Let c(n) = -1 + 3 + 4*n - 1 - 2*n. Give l(c(i)).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.5 - -5. Let x = -1.4 + 1.42. Let v = x + -3.02. Which is the second smallest value?  (a) 5  (b) r  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48903367?\nAnswer: 29, 67, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.80965 from -1291.\nAnswer: -1289.19035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182 + 14 = -12*b. Are 14 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3931*o**2 - 3934*o**2 + 6*o**3 + 5*o + 19*o**3 in the form k + r*o + d*o**2 + s*o**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0949041 milligrams?\nAnswer: 0.0000000949041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 16 = 18 + 75. What is the remainder when 5905 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6850 and 190156.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6703\/46308 - 10\/3859. Calculate the common denominator of n and -67\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(5 + 4\/(-1)). Suppose 350 = -w*o + 1271. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01 in -3, 5, -75, 2\/73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/11)\/(z\/z**(-3\/8))*(z**(-2\/7)\/z)\/((z*z\/((z*z**(5\/3)*z*z)\/z)*z)\/z))\/(((z*z**(2\/5))\/z)**(18\/5))**(11\/3) assuming z is positive.\nAnswer: z**(-281461\/46200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 13 = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*h - 1 + 4*h - 2*h - 3*h + 0*h + 3*h - h - h - 5*h + 4*h + (-h - h + 4*h)*(-2 - 2 + 3) - h + 0*h - h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3502.161416 rounded to 0 decimal places?\nAnswer: -3502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 131.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -51, 0, 3 in descending order.\nAnswer: 10, 3, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*t**3 + 258*t**2 - 5115*t = 0. What is t?\nAnswer: 0, 31, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -4*y - 30, 0 = -y - 9*w - 1201 + 1177 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/7  (b) -0.3  (c) -0.1715  (d) 5  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -3241433303?\nAnswer: -3241433303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 109 - 113. Which is the closest to y?  (a) -3  (b) -0.3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + 4. 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 0.2564857 micrograms in tonnes?\nAnswer: 0.0000000000002564857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5*(1 + ((sqrt(1584) - -1*sqrt(1584)) + sqrt(1584) - sqrt(1584))**2 + sqrt(1584) + 5 + (sqrt(1584) + 1 - sqrt(1584))*-5 + -5 + sqrt(1584)*-2)*1.\nAnswer: -31665 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11389*-20568.\nAnswer: 234248952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-3*((sqrt(171) - (-3 + sqrt(171))) + 5)*4*-3)**2.\nAnswer: 1327104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -5*f + 0 - 4 - 1 + 1 - f**2. What is the units digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -8*a**3 + 3*a**2 + 3*a + 3. Let v(f) be the second derivative of 3*f**5\/4 - 5*f**4\/12 - 5*f**3\/6 - 5*f**2\/2 + 10*f - 23. Give 10*u(p) + 6*v(p).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18.4 + -3.4. Let p = v + -15. What is the nearest to p in -3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24.2 - -5.8. Let v = r - 29.93. Let k = -0.070044 + v. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**5))\/u*u*u*u)\/(u*u\/(u*u**3*u)))**17 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -83 - -81. Let n(d) = -5*d - 5. Does 2 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1191  (b) 0.04  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of i**4\/24 + 5*i**3\/2 - i**2. Let z be w(-15). Let u = 101 - 503\/5. Does z = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1521 by -3.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.75911059 rounded to one dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -7\/255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -56 - -50.6. Let z = 38 - 33. Let l = h + z. Which is the second smallest value?  (a) -0.5  (b) 3\/2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-360)*-100 - (-22)\/(-104)*-14\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((108\/16)\/(-9))\/((-12)\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15 + -11 + -14 + -2 + -10 + 3 + 5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 8*q + 125. Determine r(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/12 and (-10)\/(-4) - (-1336)\/(-256).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10736 and 15664?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -66*k + 1538. Let l be x(23). Solve -59*i = -55*i + l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y + 4. Let o be u(0). Let x be 1\/12*(48 - -2). Let r = o - x. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -517*(-6)\/(-33)*(-1425)\/950?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 312 - 303. Let r be (-150)\/(-100) + u\/(-2)*3. Which is the biggest value?  (a) r  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 109, 259, 469, 739, 1069, 1459?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15293\/7 + 2185. Find x, given that 1\/7*x**3 - 1\/7*x**5 - 2\/7*x**4 + 0 + 0*x + t*x**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-2.2\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 719794487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 49969 or 49887?\nAnswer: 49969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3819348362 to the power of 1\/3, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5269812557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4310130 divided by -3\nAnswer: 1436710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -105053*j**3 + 105038*j**3 - 12336 - 94*j**2 - 60*j**2 with respect to j.\nAnswer: -45*j**2 - 308*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/19 in -1, 2855, 165, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c = 12*c - 198. Is -22 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 12:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -7552*f - 45265. Give p(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(5 + (-12064)\/2416). Solve -43*m - 107 - t = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 34b - 0?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4976559, 9952936, 14929311, 19905684?\n\"Answer: -l**2 + 4976380*l + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 90 - 87. Which is the nearest to d?  (a) 3\/4  (b) -1\/3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 5*w**2 + 4*w - 1. Let s be x(-3). Let m(g) = g + 3*g - s*g - 11*g. Let c(f) = -2*f. Determine c(m(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1666, -1664, -1662?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c + 4*c**2 + 3*c - 12*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.48 times 24?\nAnswer: 227.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(117) + 1*(sqrt(117) + -2) - sqrt(117))**2 + 5 + (sqrt(117) + -6*(0 + sqrt(117)) - (sqrt(117) - ((-2 + sqrt(117) - sqrt(117)) + -3)**2)).\nAnswer: -30*sqrt(13) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 299154 and 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 2:11 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1782987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*s**2 + 5*s**2 + 405*s**3 - 398*s**3 - 3*s - s + s - 5 to m*s**3 + t + l*s**2 + c*s and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15954.781 - 15955. Let g = -0.1 - -0.1. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 122024, 488195, 1098480, 1952879, 3051392, 4394019?\n\"Answer: 122057*s**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 714, 702, 688, 672, 654, 634?\n\"Answer: -j**2 - 9*j + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*c**3 + 54*c**3 - 24*c**3 - 23*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 1. Let j(h) = 4*h**2 + 11. Give -j(x) - z(x).\nAnswer: -3*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 50.3 and -0.2.\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 10039118000 to the nearest one million.\nAnswer: 10039000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/2)*n**35*n**41\/n**6 assuming n is positive.\nAnswer: n**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04397 less than -8106439?\nAnswer: -8106439.04397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14322.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 42*p + 3 - 42*p - 7*p**2 - 5. Let t(o) = 15*o**2 + 5. Determine -2*t(g) - 5*y(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12584292?\nAnswer: 2, 3, 7, 37, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 8*a + 2*a**2 - a + 0 + 31*a**3 + 4 - 39*a**3. What is the units digit of n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-9)\/(-18))\/((-3)\/(-624))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 36*b**2 + b - 1. Let t(y) = -y**2. Let d(z) = m(z) + 6*t(z). Determine d(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23412545341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1098, -4492, -10154, -18090, -28306, -40808, -55602?\nAnswer: -72694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-157677)\/22392 + 2 + 5.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p. Let s(u) be the first derivative of -43*u**6\/360 + u**3\/3 + 15. Let c(a) be the third derivative of s(a). Calculate c(y(l)).\nAnswer: -43*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 124 - 124.3. Let w be (-8)\/(-20) + 11\/10. What is the second smallest value in o, w, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 6:16 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.36076 centuries to decades.\nAnswer: 93.6076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 14*k**4 + 172*k**3 + 34*k**2 - 172*k - 48 = 0.\nAnswer: -12, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1677*b - 2079*b + 1938*b as n*b + y and give n.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22787.0729 + 0.15.\nAnswer: 22787.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1990 - 5?\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 10:15 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2292, -4, 0, -5, 2 in increasing order.\nAnswer: -2292, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 0 - 1 + 2. Let h(b) be the second derivative of -b**3\/2 - 6*b**2 + 43*b. What is -12*d(r) - h(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 (base 6) in base 16?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g + 29. Let h be j(8). Solve 15 + h = 7*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8628396 > -8628401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 + 166*y**2 - 6889*y.\nAnswer: -y*(y - 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**5\/60 + u**4\/24 - 100000*u**3\/3 - u**2. Suppose 3*q = q. Let w be n(q). Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide (-3)\/15 + 646\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -24*r - 362. What is the smallest common multiple of 262 and l(-16)?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 11, q: 6, e: 2}. Give prob of picking 2 q.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 3403.\nAnswer: -5\/3403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-790)\/(-15) + (-4)\/(-12). Suppose -13*u - 1197 = -20*u. Let o = u - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 6 - 14. Let q be 0 - (-3 - (-4 - i)). Is 35 - 0\/(q - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p**3 - 4*p**2 + 58260*p - 192774 wrt p.\nAnswer: 6*p**2 - 8*p + 58260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -4\/5959  (c) 0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -4*n**3\/3 + 28*n**2 - 50*n + 176. Let h be f(13). Let k(j) = -2*j**3 + j**2 - j - 1. Give k(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 4)*(-26*p + 2720 - 5437 + 2721) to b*p + a and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 1\/4*k**4 + k**3 + 0*k + 6 + 0*k**2. Find the third derivative of b(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**4 - x**3 + x - 1. Let t(c) = 28*c**4 + 14*c**3 - 14*c. Let n(y) = 14*b(y) + t(y). What is the derivative of n(u) wrt u?\nAnswer: 168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 131*k - 2982. Calculate c(29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1248 and 2704?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3 + 3 - g - 1. Suppose 14*q - 1 = 15*q. Let o(n) = 1. Determine q*v(x) + 3*o(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 16 - 4 = 0. Let d = s - 2. Let y(z) = z + 5. Let q(k) = -3*k - 14. Let o(b) = -6*q(b) - 17*y(b). Let m(u) = -3*u + 5. Give d*o(v) + m(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.023 + -4.577. Let n = 4.256 - 0.056. Let k = v + n. What is the nearest to -2 in 2\/5, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 3, 6072087.\nAnswer: 3, 6, 6072087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 295, 586, 877, 1168?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/1747228 and 71\/8656?\nAnswer: 3781001392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.02 + 0.38. Let i = 2 - 1.4. Let f = -0.7 + i. What is the closest to f in k, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 + -50. Suppose 18*l + 25 + 29 = 0. Let g be (-7 - (-4 + 1))*(l - 1). Calculate the highest common divisor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6977*q + 41859. What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84 + -134. Let a = 53 + j. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (4 + 3 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -211 = -2*u + 5*v, -2*u + 3*v + 0*v = -205. Suppose 2*m = u + 90. Suppose -q = -4*y + 300, 3*q + m = y - 2*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26640 by -9.\nAnswer: -2960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(1377) + 0))**2 + (sqrt(1377) - (-1 + sqrt(1377))**2*4) + sqrt(1377) + 3 + 1 + sqrt(1377).\nAnswer: 999*sqrt(17) + 29017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1. Let b(g) = -2 - 5*g + 13*g + h*g. List the prime factors of b(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -30 and -9.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 less than or equal to 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 305 + -466. Let g = 290 + y. What is the common denominator of 0 - g\/42 - -2 and -37\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6\/11 - 4\/11*a + 2\/11*a**2 = 0. What is a?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52229 is divided by 124?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/12)\/(-1)*(-9 - (12 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1088)\/4930*(-55 - 0) + -12.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + b - 178 = 603, 7 = 2*b + 5. Let j = -22 + 37. Calculate the greatest common divisor of z and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 15 - 6 = 0. Let x(j) = j**2 + 5*j - 3. List the prime factors of x(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 2:48 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + 5*y - y + (-3*y - y + 2*y)*(-5 + 1 + 3) + (0 - 3 + 1)*(37 - 7*y - 37).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.184839912 to five decimal places.\nAnswer: -0.18484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 896, 3860, 9042, 16640, 26852, 39876, 55910?\nAnswer: 75152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -8*k**2 + 64*k - 444. Calculate q(-13).\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20\/(-28)*(-644)\/1380. Find d, given that -b*d**5 - 22\/3*d**2 + 7\/3*d + 5 + 7\/3*d**4 - 2*d**3 = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2412 - -2520. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00668108233 to six dps.\nAnswer: 0.006681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 11*m**2 - 19*m - 30. What is the hundreds digit of l(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7028000 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -3. Suppose p + 2*p = q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.204 and 0.02?\nAnswer: -0.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 3*b + 3. Let u = 3 + 0. What are the prime factors of j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oxxxxo. Give prob of sequence xxxo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288358 divided by -20597.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165915 is divided by 32738.\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 131.181 + -131. Let l = -5.181 + p. What is the biggest value in -4, 0, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3102242963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28*r**4 - 1420*r**3*t - 18*t + 3494 wrt r?\nAnswer: -112*r**3 - 4260*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 - 11)*(-5*r + 6*r + 3*r) - 4*r - 3*r - 3*r in the form q*r + a and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58042542*y**5 + 18216441*y.\nAnswer: -1160850840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-32)\/(-28)*(-21)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4*w = 3819, -2*w + 1530 = 2*r - 3*w. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72.33*245\nAnswer: 17720.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - 6. Let h = -7 + 5. Let t be (-64)\/616 + 6\/(-33). What is the closest to t in 3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 8:31 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*z + 34 = 0, -16 + 82 = 2*x + 4*z. Suppose -5*m - 7 = -4*k + x, -5*k + m = -19. Suppose k*y = 2*t + 2*t + 1, 12 = 4*y. Solve t + 0 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1436292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124505*p - 11218*p + 19322*p.\nAnswer: -116401*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/(-21) - (-16)\/112.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.099073 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 2*b**2 - 2*b. Let o be j(-3). Is 53 a factor of 19\/7 + o - (-54456)\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.52680106 + -0.527. Round b to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5954 and 68450161.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33987669983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*((-38)\/57 - -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 748, 986, 1632, 2890, 4964?\n\"Answer: 34*r**3 + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000041975 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + 4*p - 1. Suppose t = -2 - 2. Let q = 6 + t. Let n be f(q). What is the smallest value in n, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2115, -3858, -5601, -7344, -9087, -10830?\n\"Answer: -1743*k - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2 + 20*h + 22. Let z be t(-9). What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-37)\/(-962))\/(1\/(-12)))\/(945\/(-65) + 13).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 73800528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 7*t - 32. What is the tens digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -5*u - 2*k + 1, 2*u + k = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 25 = -13*t. Let o(d) = -d**3 - 3*d**2 + 6*d - 6. Let m be o(-5). Let c be 2\/5 - 53\/(-5). Solve m = t*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence feet when four letters picked without replacement from eeefpetf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 5*r + r**2 - 3 + 3*r**2 to the form n*r**2 + f*r + j and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*m**2 + 12*m**2 + 4*m**3 + m**3 - 10*m + 11*m + 56*m**2 to r + u*m + k*m**3 + j*m**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 111111101111 (base 2) to base 10\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6297, 6274, 6251?\n\"Answer: -23*h + 6320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 90893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -170.8 - -150. What is y rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2.9  (b) -3\/2  (c) -135\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 17 + (-12954)\/1071?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1716 + -5069\/2. Let b = y + 794. Calculate the common denominator of b and -45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 2*y - 8. Let t = 2 + 1. Suppose 8*j = t*j. Is y > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 + 2. Let u = 41 - l. Solve -2*d - 10 = u*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-514)\/(-10280))\/(5\/(-8)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + (20 - (-7 - -24) - -10).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -28  (b) 2\/9  (c) 1  (d) 4  (e) 17  (f) 3\/206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5240345, -5240340, -5240335, -5240330?\n\"Answer: 5*b - 5240350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -3\/2  (b) -1\/7  (c) 5  (d) -10.8  (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - w**2 - 2. Let j = -29 + 29. Calculate b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (14 - -4) + -10 - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**3 + d**2 + 2*d - 2. Let b be s(2). Let o be 8\/(-40) - 2\/b. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + -10. Suppose 4*n + 0*n - k = 0. What is the lowest common multiple of (-30)\/255 + (-822)\/(-51) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -22, -2\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 222 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88992189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-134)\/201)\/((-1)\/(-15)). Let v(f) = -f**3 - 11*f**2 - 12*f - 19. Calculate v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 12:58 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2881, -5755, -8629?\nAnswer: -11503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 36199186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -819, -877, -1017, -1269, -1663?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/(-3) - (-1 + 28\/21). Solve 8 = d*a - a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 543.997833 + -544. What is r rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 248 and 558.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5290 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13448754 - -1 - (-19 + 8 - -7). Let a(p) = 1879752*p + 1. Let y be a(-5). Let r = y + i. Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y + 56. Let a = 59 + -86. Let o be w(a). Solve 0*s**3 + 3*s**3 - 178*s**5 - s**4 + s**o + 177*s**5 - 2*s = 0 for s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -0.6, 1\/3, 15\/8, -0.4, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6994, -7031, -7096, -7201, -7358, -7579, -7876?\nAnswer: -8261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 1\/4, -2\/3, 5522 in ascending order.\nAnswer: -3\/4, -2\/3, 1\/4, 5522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532355\/326 != 4700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*r - 2 = 2, 4*r + 16 = -g. Let d = 10 + -7. Suppose -d = 2*p - 1. Put g, p, 1 in increasing order.\nAnswer: p, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - -2 - -1*16. Let b = x - 8. Let m = 17 - b. Calculate the remainder when 23 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -81*c - 3. Let m(j) = -1. Calculate l(y) - m(y).\nAnswer: -81*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 y when three letters picked without replacement from cturcrtttutuyt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ctttticitc. Give prob of picking 2 c and 2 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k + 5. Let c be x(7). Let h(b) = -b. Let o(w) = -12*w + 6. Let i(s) = c*h(s) + o(s). Let l be i(-7). Round l to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 15*u**2 + 5*u + 5. Let n(v) = -7*v**2 - 2*v - 3. What is -2*f(d) - 5*n(d)?\nAnswer: 5*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -510b - 3?\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*w = -32*w - 27*w + 38*g - 76, w + 3*g = -11 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 6:02 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2. Let k = 4 + 1. Suppose 20 - 50 = k*g. Let i(l) = 3*l - 2. Let v(f) = -16*f + 11. Let z(t) = g*v(t) - 33*i(t). What is h(z(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, e: 3}. Give prob of sequence eel.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.77 + -0.733. Let w = x + -0.437. Which is the closest to -0.1?  (a) w  (b) -9  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, l: 3, d: 2, u: 1, n: 1, j: 1}. What is prob of sequence kk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -53800\nAnswer: -53800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -170?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*o**5 - 15*o + 22*o - 15*o**5 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -392*h**3 - 203*h**2 wrt h?\nAnswer: -2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 28928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/((a\/(a\/((a*a\/(a\/(a*a*a**(4\/11)*a*a)))\/a)))\/a))\/(a\/(a\/a**14)*a**1) assuming a is positive.\nAnswer: a**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {u: 4, v: 1, x: 1, g: 5, w: 3, p: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -12*w - 97. Suppose 3*f - 12*f + 135 = 0. What is the remainder when a(-18) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 134 = -5*z, -g = 5*z + 2*g - 146. What is the highest common divisor of z and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2237*m**2*s**2 + 1782*m**2*s + 2*m**2 + m*s**3 - 2*m*s - 488*s**2 + 478 wrt s.\nAnswer: 4474*m**2 + 6*m*s - 976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 112584959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/18*(-990)\/(-1320)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 13*f**2. Let d(t) be the third derivative of t**6\/360 + t**3\/3 + 6*t**2. Let w(s) be the first derivative of d(s). Give u(w(a)).\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjnnnjunn. What is prob of sequence uj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6128.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1256405 and 3245?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 959250 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 - -4.34.\nAnswer: -4.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2743665?\nAnswer: 3, 5, 101, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + 3. Let f(m) be the second derivative of -m**3\/3 - 3*m**2\/2 + 1590*m. Let r(l) = -3*l + 0*l - 5 + 0*l. Calculate i*f(d) - 4*r(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzezzzzrzzz. What is prob of picking 2 z and 1 e?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**2 - 59*o + 175. Let n be g(16). Let j(y) be the first derivative of -y**4\/4 + y**3\/3 - 1. Let z(d) = 2*d**2 + 2. What is n*z(r) + 2*j(r)?\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 2  (c) 0.02  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366*s**3 - 15*s + 15*s.\nAnswer: 366*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than 0.7728502?\nAnswer: 0.6728502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 - -77. Let g = 0.27 - -20.73. Let o = 21.3 - g. Sort -0.5, d, o.\nAnswer: -0.5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 + -25.0000009. Round j to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -398607, -398632, -398673, -398730?\n\"Answer: -8*u**2 - u - 398598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7165.3905 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 5*d + 15. Let m be v(-4). Suppose 5*g - m = -106. Let j = g + 41\/2. Which is the second biggest value?  (a) 3  (b) j  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15db7 (base 16) to base 4\nAnswer: -111312313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11*4\/(4\/5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 328 - 871*r - 655 + 327 - 1207*r + r**2 + 764*r**4 wrt r?\nAnswer: 9168*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49960 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1568 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3388 - 0.3888. Suppose -5*s + 31 = 6. Suppose s = -5*g - 0. What is the nearest to g in -0.2, q, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47686364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 4:46 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/1590343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 5*d + 7980 = 3*p, -2*d = -5*p - 5299. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of -f**4\/6 - 2667*f - 2. Let i(t) = -2806*t. What is i(k(z))?\nAnswer: 5612*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f - 122 + 230 - 104. Let c(a) = a - 5. Let r = 5 + -11. What is r*l(g) - 5*c(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 885449184?\nAnswer: 2, 3, 9223429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 - 49. Let r be b*(48\/20 - 2). List the prime factors of (-170)\/r + 16\/(-64).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 + 2*f - 21. Let i be l(-5). Let y(g) be the first derivative of 5\/4*g**2 - i + 0*g + 5\/12*g**3 - 5\/16*g**4. Suppose y(k) = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 3*s + 2. Determine p(9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1976560?\nAnswer: 2, 5, 31, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0127014 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1007958 + 1007777.84768. Let u = 175.553 + c. Let d = u + 4.6. What is d rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3975, -3971, -3967?\nAnswer: -3963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**4*x**2 - 3*u**4 + 15*u**3*x**3 + 174*u**2 + 2*u*x**3 wrt u?\nAnswer: -24*u*x**2 - 72*u + 90*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = i - y, 0 = -5*i - 4*y - 0*y - 6. Let x be 10\/i - -4 - -10. Calculate the highest common factor of 15 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 65 = -64. Let p be h + 1 + 2 + -3. Is (147 - p) + (-30)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(2736) - (-2 + -3*sqrt(19))**2) + (2*(-4 + sqrt(304)*-1))**2.\nAnswer: 164*sqrt(19) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7305 + -175379\/24. Calculate the common denominator of s and 35\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10850, 87062, 294036, 697154, 1361798, 2353350, 3737192, 5578706?\n\"Answer: 10897*u**3 - u**2 - 64*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 395\/48 - 385\/16. Calculate the common denominator of f and 101\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 83.05?  (a) -70  (b) 1  (c) -1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -47 - (-34 + -7) - 30?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2841 * -1.94\nAnswer: 5511.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-5))\/(-10)*1056\/(-1144)*(-13)\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*c + 69 - 88 = 1013 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42510 is divided by 3976.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 62 + 53*n**2 - 43*n - 37*n**2 - 34*n**2 + n**3. Let a be d(20). Calculate the greatest common factor of 14 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/5)\/((-6)\/(-60)). Let v = 1 + r. Suppose -42 = -2*a - 0*a - 2*p, -3*a + 23 = -v*p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-2*5)*0. Suppose 2*c - 42 - 6 = r. What are the prime factors of (-44)\/(-24) - (-4)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*z - 8*z + 4*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -210 - 67. What are the prime factors of h?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3221 (base 9) to base 6\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 62*k**3 + 2*k**2 - 5*k + 3. Let a be x(2). Let g = a + -310. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 3d6d87?\nAnswer: -3d6d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*p**6*s + 4*p**3*s**2 - 2*p**2 + 190*p*s**2 wrt p?\nAnswer: -480*p**3*s + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 8*x**3 + 4*x**2 + 1. Let f(n) = 9*n**3 + 5*n**2 - n + 1. Let d(v) = -3*a(v) + 2*f(v). Calculate the least common multiple of d(-1) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 6*j - 12. Calculate the greatest common divisor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6374 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 4*h - 14 + 20, 6 = 2*h - 4*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2791 - m**2 - 2*m**3 + 14*m + 2791 to the form z + w*m**2 + f*m + a*m**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 4*g**2 - 5*g + 4. Let y(s) = -2*s**2 + 52*s + 49. Let r = 97 - 70. Let o be y(r). Determine j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 4764 = -681*k, 5*k - 338*h = -343*h + 50 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 2663813.\nAnswer: -53\/2663813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3*g = 2075, -4*n + 1824 = -5*g - 275. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.3 + -0.3. Suppose b = 5*j - 19, 2*b - 61*j = -56*j - 18. Is b smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 85, -5, 5, -7 in ascending order.\nAnswer: -7, -5, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13 + 21 - 18*t - 8 + 3*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 - 120*r**2 - 16*r + 480.\nAnswer: 4*(r - 30)*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2\/11  (b) -1.9  (c) -1424  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -597603 (base 10) to base 13\nAnswer: -17c016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -8. Suppose -11 = -d*t + 16. Suppose 3*l + m = 24, -3*l + 0*m + 36 = -3*m. What is the greatest common divisor of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1e (base 16) to base 7.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 116981, 233964, 350961, 467978, 585021, 702096, 819209?\nAnswer: 936366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 27186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 + 3*d + 4*d + 44 - d - d as h*d + p and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 4, 132, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8653 and -227.\nAnswer: -1964231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*c + 27*c = -95. Calculate the smallest common multiple of c and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**2\/8 + 76362816*d + 3887519778299904 = 0. What is d?\nAnswer: -101817088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**4*u\/((((u*u**(-11\/6))\/u*u*u)\/u)\/u))\/((u\/(((u*u*u*u\/((u\/(u\/(u**(1\/14)*u)))\/u))\/u)\/u))\/(u\/u**(-28))))**(-36) assuming u is positive.\nAnswer: u**(-9264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from {q: 2, s: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 59 = -14*l, -3*l - 6 = -5*c - 3. Let 0 + 0*g + 0*g**2 + 1\/4*g**c = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 11:05 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2 + -0.25. Let z = 0.153 + -0.363. Let t = -0.11 - z. Put t, a, -1\/2 in decreasing order.\nAnswer: t, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0099626482 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from owbwowwwoobwowo. What is prob of sequence wbw?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 18*d**3 - 1675*d**2 + 92*d + 64. Determine q(93).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1076324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9590 + 9910. What is the remainder when u is divided by 89?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**3 - 18*s**2 + 60*s - 56 = 0. Calculate s.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -639 or 2\/5?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 12:58 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 553 is divided by 147.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5384382?\nAnswer: 2, 3, 109, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 68 - 52 = -x, -5*k - 199 = -2*x. Let s = k - -59. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 171269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/3)\/(n\/n**(-2\/13)))**(-1\/11)*(n\/(n*n\/n**(-2\/5)))**(-24)\/(n**(-5)\/(n*n*n**(3\/4)*n)) assuming n is positive.\nAnswer: n**(363743\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*d + 11*d + 15*d - 5, -10*d - 7 + 47 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(2\/3)\/t))\/t**(2\/9)*(t*t**(1\/5))**1 assuming t is positive.\nAnswer: t**(59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -t - 60. Suppose -5*o + o = -t. What is the remainder when 41 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-4))*s**(-2\/17)*s)**(-1\/53)*((s\/s**(2\/5))**(-48))**(-40\/9) assuming s is positive.\nAnswer: s**(115245\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*i**3 - 53*i**3 - 12*i**3 + 80*i**3.\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 483 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*b = -0*a - 51, -37 = -4*a + 5*b. Let c = a + -10. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - f**2 + f - 1. Let z(i) = 46*i**3 - 8*i**2 + 6*i - 6. Calculate 6*v(j) - z(j).\nAnswer: -52*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 132827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 6*s**2 + 40*s.\nAnswer: -s*(s - 10)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(700\/(-21)))\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -31*o - 32. Let n be k(-8). Let f = n - 212. Let y = -16 - -17. Solve f*g - 5 = -y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*f**2 + 8734405*f - 8734405*f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9829721?\nAnswer: 11, 47, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1450650 - 6*g**2 - 1450650.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -12699*q + 7491*q - 11357*q - 12240*q + 1140*q as t + h*q and give h.\nAnswer: -27665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 2*g**3 - 32*g**2 + 90*g + 324 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -428717661*d. Let a(x) = 2*x. Determine o(a(p)).\nAnswer: -857435322*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7260 by -11.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 6*d**4\/7 - 6*d**2\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -37*s**2 - 1216*s + 14405. Calculate k(12).\nAnswer: -5515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11, 24, 39, 56?\n\"Answer: s**2 + 10*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.6 + -1.1. Let m = 0.2 + -0.2. Let x = r - m. What is x rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p. Suppose -61 = -14*h - 5. Let b(n) be the second derivative of -15*n + 0 + 1\/4*n**h + 0*n**3 + 0*n**2. Calculate b(w(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsssysysssvssasssys. What is prob of sequence yy?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -22*q**4 - 3*q**3 + q**2 - 2*q. Let d(y) = -67*y**4 - 8*y**3 + 4*y**2 - 5*y. Let s(c) = 4*d(c) - 11*i(c). What is the third derivative of s(r) wrt r?\nAnswer: -624*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -3. Suppose 5 = i*a, 4*a - 75 = -5*w - 21. Calculate the remainder when 17 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 8:52 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/2040 and 179\/9690.\nAnswer: 38760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -89*h + 7083. Calculate b(81).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p**3 + 3*p**2 - p**3 - 4 + 2*p**3 = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n**2 + 2*n - 2. Suppose 12 = -7*u + 3*u. Let p(b) = -5*b**2 - 3*b + 3. What is u*r(w) - 2*p(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17839468 is divided by 5946476?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49611815 and 2420?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 188908387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2057600 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + 0.34. Let z = -12.86 - w. Let o = z - -10. What is the second biggest value in o, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**4 - 6*i**3 - 1655*i**2 - 525346*i.\nAnswer: -24*i**2 - 36*i - 3310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -585*c**3*l - 3*c**3 - 91*c**2*l + 35943*c**2 + 19*c*l + 4*c - 2*l + 2 wrt l.\nAnswer: -585*c**3 - 91*c**2 + 19*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -10. Suppose -12*u + o*u = -20. Solve -2*f = -2*z + u + 7, -6 = 4*f + 5*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1140 and 108642.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 362*w + 20441. What is r(-54)?\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 273, 949, 2257, 4407, 7609, 12073?\nAnswer: 18009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -8. Is (1 - -1)\/(y\/(-230)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g = 609. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 72\/96 - (-25)\/(-12). Which is the second biggest value?  (a) -0.3  (b) -14  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 24304, 48650, 73046, 97510, 122060, 146714, 171490?\n\"Answer: 3*g**3 + 7*g**2 + 24304*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**3 - 7*f**3 - 7*f**3 - 2*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002795 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 381057\/38 or 10027?\nAnswer: 381057\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -605*q - 285*q + 1031*q - 457*q - 549*q + (-4 + 1 + 1)*(-3*q - q + 3*q) + 4*q - q - q.\nAnswer: -861*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 120.88 + -121. Let c = 0.61 + y. Let b = 0.19 - c. Sort 0.3, 0.028, b in decreasing order.\nAnswer: 0.3, 0.028, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -466, -601, -746, -907, -1090?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 5567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 - 174. Let l = r + 124.5. What is the second biggest value in 0, 0.9, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4697760\/75 - -1*(-16)\/20. Suppose 0 = o - 5*o + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -3282.\nAnswer: 2\/1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0082436 rounded to 4 decimal places?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r**2 - 1. Let p be -4 + 4 + (-6)\/(-2) - 4. Give w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 104*d**2 - 11695*d + 5266. Determine a(112).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-1)*(-4)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10 - ((-4 - -2) + 6). Let q(h) = -h + 6. Calculate q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15563 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-5 + 4 + -16 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-56)\/318*(-6033)\/14077?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-5))\/((-12)\/(-8388300020)) - (-2368)\/1776. What is l rounded to the nearest 1000000?\nAnswer: -559000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -2*z - 3*z + 67, -96 + 203 = 2*v - 4*z + 93 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 272*d. Let w(r) = -4*r**2 + 31. Calculate t(w(c)).\nAnswer: -1088*c**2 + 8432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -171 - -182. Let z(u) = 2*u - 10. Calculate the least common multiple of z(7) and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -5 - (122 + 37 + -158)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 465 (base 11) in base 12?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 31 times -0.11\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 4544?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 363 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.2 + 3. Let u = 8670413\/46565 + -2\/9313. Let k = 186 - u. Which is the closest to k?  (a) i  (b) -3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(68) + -2 - (sqrt(17) + (2*sqrt(187))\/sqrt(11)) - (1*sqrt(17)*1 + -5*-1*sqrt(17))))**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 356965 and 43741.\nAnswer: 503677615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000162816 to 6 decimal places.\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 835120, -1\/4, -3\/2 in ascending order.\nAnswer: -2, -3\/2, -1\/4, 835120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/1098 and -97\/670?\nAnswer: 367830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (5 - (16 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (170*t**2 + 146*t**2 - 360*t**2)*(0*t**2 + 3*t**2 - t**2).\nAnswer: -88*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45301*k**2 + 20327*k.\nAnswer: -90602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1049*a + 89341 - 8407 = -2771*a for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2, 1\/4, 0.021, -0.690202?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139 + 438 = 61*x + 2190 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 9. Suppose 2*x + 170 = 156. Determine u(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**3 + 5*z. Let t(m) = -22*m**3 - 22*m + 9. Let v(o) = -5*o**3 - 5*o + 2. Let a(h) = 2*t(h) - 9*v(h). Calculate -12*a(u) + 3*c(u).\nAnswer: -3*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -b**5 + 65*b**4 - 245*b**3 - 10*b**2 + 980*b - 173. Factor c(a).\nAnswer: -5*(a - 49)*(a - 2)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g - 2. Let a be m(10). Let b = 35 + a. What are the prime factors of -3 + 1 + 0 + b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of -3*t**2 + 0 - 3*t + 1\/6*t**3. Suppose 3*n + 2*f = 4*n - 11, -5*f - 15 = 0. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of d**6\/80 + 7*d**5\/120 - d**4\/12 + 8*d. Let g(k) be the third derivative of w(k). Differentiate g(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 6:19 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 701, -130, 1, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11 + 7 + 4 - 20*y**3 - 23*y**2 wrt y?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -107 - (-73 - (-8 - 100)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84.016 - 84. Let c = -0.109 - t. Round c to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 + -6*(-11 - (15 + 0 - (-2035)\/(-74)))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-4))\/(3*89\/534)*4*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -40536 to the nearest one hundred.\nAnswer: -40500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 237*g = -166*g + 1206 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11021 - -1111220212?\nAnswer: 1111202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -18 - 18. Let l = o + -5. What is the least common multiple of l and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2. Suppose -2*l - 2*l = m. Is l less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 183564.013 to the nearest 100.\nAnswer: 183600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 6*p - 2. Let g(y) = 2*y**3 - 9*y**2 - 7*y - 2. Let s be g(7). Let h = 189 - s. What is z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26255 and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1548 - -2168. Calculate the lowest common multiple of 1240 and n.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 9:43 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/772 + -1933\/772. Sort h, -1.6, -0.3.\nAnswer: h, -1.6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/(40\/96))\/(-1). List the prime factors of (-3)\/x*2*1458.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -30*i**3 - 4501*i**2 - 166*i - 2324. Calculate k(-150).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = v + g - 23 + 9, v - 269 = -27*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25265 and 55?\nAnswer: 277915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a**4 + a**2 - a**2)*(5 + 3 - 3) - 4*a + 52*a**4 + 43*a**2 - 50*a**4 + 221*a**2 as t*a**3 + b + r*a + s*a**4 + k*a**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 11*y**2 - 99*y + 51. What is k(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Suppose 2 = -n - h. Sort 1, -3, n in decreasing order.\nAnswer: 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/7)\/(164\/287) + (-11)\/(-2). Sort q, 1, 4, 0, -3 in decreasing order.\nAnswer: q, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 93 + -83. Let i be (3\/2)\/(-4 + 45\/g). What is the third derivative of 17*o**i + 10*o**2 - 57*o + 34*o**3 + 58*o wrt o?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((0\/(-8))\/11)\/5. Does -5\/856 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15775\/(-9465)*(-2 - (-52)\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -3*r. Let q be u(-2). Let k(c) = -3*c - 6 - 6 + 27*c. Is k(q) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -13154, -26176, -39198, -52220, -65242?\n\"Answer: -13022*t - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 2*n + 3. Let b(f) = 61*f**3 - 2*f**2 + 7. Let k(z) = 30*z**3 - z**2 + 4. Let y(j) = 4*b(j) - 7*k(j). What is the tens digit of y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 - 4*b - 6. Suppose 2 = -3*u - 13. Suppose -5*j + 39 = 9. Let r(h) = 2*h**2 - 3*h - 5. Give j*r(v) + u*t(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2405985.6ms?\nAnswer: 40.09976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - 30\/(-7) - (-12)\/7. Suppose -k*i = -0*m - m - 35, 3*i - m = 52. Find the second derivative of 6*c + i*c**2 + 10*c + 6*c + 4*c wrt c.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 12*r**2 - 25*r + 29. Does 15 divide j(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -60*b + 114. Let s(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 3*g**2\/2 - 1. Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -6*n - 169 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -503614, -1007226, -1510834, -2014438?\n\"Answer: 2*j**2 - 503618*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**5 + 4*f**4 - 10*f**4 + 96*f**2 + 128*f + 2*f**5 - 8*f**5 + 3*f**5 - 40*f**3.\nAnswer: 2*f*(f - 4)**2*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14201010 rounded to the nearest ten thousand?\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-5)\/l*l\/(l*l\/(l**(-20)*l*l))*l*l**(-3\/2)*l*l*l*l**(-2\/5) assuming l is positive.\nAnswer: l**(-229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 15*x**2 - 19*x + 40. What is k(14)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 = -42*v + 277 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -86*s - 1\/4*s**4 + 1\/60*s**5 - 2*s**2 - 1\/2*s**3 + 0. What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1562 - 1562 + 891*h)*(-7 + 1 + 2) + (-2 + 3 + 1)*(0*h + 0*h + 2*h) + h - 3*h + 0*h + 0 + 0 + h - 3*h + 4*h + 0*h to the form u + w*h and give w.\nAnswer: -3560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0235 - 26.9765. Which is the closest to s?  (a) 1  (b) -0.5  (c) 5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4521 and 4308924?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15 - 0\/(0 - 5 - -3). Solve 0*c = -5*c - b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/677434 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 302, 25, 79, 2.\nAnswer: 2, 25, 79, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = s + 24. Let g(v) = -3*v - 5. Let t be g(s). Suppose 0 = 5*k + 3*j - t, j - 14 = -k - 3*j. Put 1, 3, k in descending order.\nAnswer: 3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/7 equal to -184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 10:35 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3.6+-0.0284\nAnswer: 3.5716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 168 - 5879\/35. Let q = i - 1228\/105. Let y = q - -12. Which is the nearest to 1?  (a) y  (b) -1\/4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) 23  (b) -4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30870952?\nAnswer: 2, 7, 167, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 20. Let b(f) = -f - 1. Determine b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 5*c**3 - 110*c**2 + 7*c - 119. Calculate n(22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + 2*(sqrt(192) + sqrt(192) + 0))**2 + 1*(sqrt(192) + 2))*-2.\nAnswer: -9604 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -12*y + 124. Let d be c(-22). Let q = -307 + d. What is the remainder when q is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*h**2*s + 5*h*s - 2*h + 37*s - 1 wrt h.\nAnswer: -52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-144)\/(-81) + (-3 - -1). Put q, 2, 0.04 in ascending order.\nAnswer: q, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 4. Let b be u(-3). Let t be 4 - (b + (-2 - 2)). Let p = t - -9. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 9. Suppose -r - 27 = -4*z, -100*r + 103*r = 15. What is the greatest common divisor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -41. Let o = n - -17. Calculate the smallest common multiple of 4\/32*10*o and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 9*w - 35. Give j(-16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -222 - -220. Suppose -3*k - 2*k = -35. Suppose 1 = -3*h + k. Sort h, o, -12 in increasing order.\nAnswer: -12, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1008?  (a) 3  (b) -1\/12  (c) 0  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/10 - 8\/(-20). Let l be (-28)\/(-12) - (1 - p). Let c = -52 + 158\/3. What is the biggest value in c, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30165*w + 30224*w - 60572*w.\nAnswer: -183*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/1320 and -93\/13160.\nAnswer: 434280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 251*k + 7*k**3 + k**4 + 125*k - 2*k**2 + 132*k to the form u*k**4 + x*k**3 + f + b*k + g*k**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 15 = -7. Let f = 7 - 2. Suppose f*q + 47 = 3*x - 2*x, 0 = -r*q + 8. Round x to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -d**4\/6 - d. Let m(n) be the second derivative of n**4\/6 + 2*n. What is m(i(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 15*a + 11. Give m(16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -571379, -1142554, -1713729, -2284904, -2856079, -3427254?\n\"Answer: -571175*t - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1450 divide 171877371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2493413051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -408146, -408147, -408148, -408149, -408150?\n\"Answer: -r - 408145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - (-4 + 0 + 11 + (13 - 29))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6007535, -7, -0.1.\nAnswer: -6007535, -7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.7  (b) 25  (c) 77\/3  (d) 3  (e) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 232b (base 12) to base 16.\nAnswer: f53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -467059, -934230, -1401511, -1868902, -2336403?\nAnswer: -2804014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 0 - 1\/16*k**5 + 0*k**3 + 1\/160*k**6 + 1\/8*k**4 + 0*k - 42*k**2. Factor n(l).\nAnswer: 3*l*(l - 4)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2*q - 19 = 12, 0 = d + 3*q - 14. Suppose -l + 0 + 4 = 0. Suppose l*b - 9*b = -40. Calculate the lowest common multiple of d and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.84077371 + 36177.\nAnswer: 36178.84077371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 - b**4 - 32 - 8*b**3 + 2*b + 6*b**3 to the form h*b + p*b**2 + u*b**4 + g*b**3 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -1) + (-8)\/(-6). Let d = 4 + -4.01. Let t = 0.39 - d. What is the biggest value in l, t, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjpjppggppjjpppj. What is prob of picking 4 j?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhcccec. Give prob of sequence chh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 968 divided by 22\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 605971238*s - 649265989 wrt s.\nAnswer: 605971238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -19. Let h(m) = q*m - 7*m - m. Let z(t) = 4*t**2. What is z(h(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*h + 246*h - 1000 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51\/9 - 5 - (-209)\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*a + 3 = 0, v + 2*a = a + 7. Let g be 2 - (v - 0 - 2). Calculate the smallest common multiple of 16 and g - 2 - (-1 + -12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 6. Let q be r(-6). Let c(n) = -n. Let b(l) = -231962 - 8*l + 231962 + 10*l. What is q*c(f) + 5*b(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -14*l. Let k(d) be the second derivative of -9*d**4\/4 - 2*d - 36. Calculate k(t(i)).\nAnswer: -5292*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49543.\nAnswer: 13, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*k**2 + 339 - 667 + 305)*(-6*k - 3*k + 3*k).\nAnswer: -78*k**3 + 138*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3696524 by -134.\nAnswer: -27586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15772026 (base 8) in base 12?\nAnswer: 128a106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 86320 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o - 3*v - 4, 2*v = -4*o + 63 - 51 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -99264 divided by 6?\nAnswer: -16544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3 - 2*c**2 - 7*c + 3*c + c. Suppose 2*d - 16 = -2*d. Suppose -4*n = -12 + d. Calculate s(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i + 4. Suppose -21*z + 19*z = 0. Let p be f(z). Differentiate 3*q**4 - p + 144*q - 144*q wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 14, w: 5}. What is prob of sequence www?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + (9 - (1 + 21)) + 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a2 (base 14) to base 8.\nAnswer: -2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 753808597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -67.97 + -1.23. Let t = h - -69. Which is the closest to 3?  (a) -4  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 2*b - 20 = 0. What is the third derivative of p**5 + 4*p**2 - b*p**2 - 3*p**2 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3*(-1 + 4). Suppose 530 = 129*h - 23*h. Solve -s = 3*y + h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49289 and 198168?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 6*t**2 - 232*t + 671. Let b be c(3). Find h, given that 0 + 3\/5*h**5 + 0*h**b - 6\/5*h**3 + 3\/5*h + 0*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1357770991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d**3 - 7. Let l(r) = -r + 3. Let u be l(9). Suppose -35 = 5*q - 2*t, 3*t = -t. Let v(k) = -5*k**3 + 6. What is q*v(a) + u*m(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10961?\nAnswer: 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 5) + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*m - 8 = 4*h - 130*m, 5*h + 10 = -3*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*o = 16, 10 = 2*k - 3*o + 2. Suppose 4*v - 3*y = 7, 2*y - 7 = -k*v + 15. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15579521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/50*5\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -31 - 15835?\nAnswer: -15866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.97 - -0.03. Let j = h + -6.1. Let n = j + -1.8952. Round n to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1748, 7109, 16072, 28625, 44756?\nAnswer: 64453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 - 9*h + 1 + 9 + 1 - 3. Let c(i) = i**2 - 9*i + 7. Let y(q) = -2*c(q) + 3*t(q). Calculate the remainder when y(-5) is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*x**3 - 445*x**2 + 350*x + 115.\nAnswer: -5*(x - 1)*(x + 23)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 349327.3664 to the nearest one thousand.\nAnswer: 349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40, 137, 290, 499, 764?\n\"Answer: 28*m**2 + 13*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49707017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2207 + 5177. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3134 - -3134.06972. Round c to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 11 = -u, 7*u + v - 71 = 2*u. Suppose -17*q + u*q + 129 = 0. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - 2*n + 5*n)*(5 + 5 - 2).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.0325, 0.3, -5\/4, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 19 - 4 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 10:21 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 442307939 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1109736 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - 128\/(-28))\/2. Which is the closest to y?  (a) -1  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x**3 - 111*x**2 - 30*x - 129. What is the tens digit of t(40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 322*z**2 + 55*z + 55. What is the hundreds digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 755 (base 13) in base 10?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19569 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.151738432478 + -0.1?\nAnswer: -0.251738432478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, 3, 0.3, -0.347, -9, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 1 - -34) + (17 - (136 - 103)) - -15?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, i: 2, w: 1, c: 2, y: 1}. What is prob of sequence giyw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4680\/(-48))\/65)\/((1*-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8488636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -21.313.\nAnswer: -63.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - m = 12, -63*p + 84 = -60*p - 5*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 202159213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -792, -804, -824, -852, -888, -932, -984?\n\"Answer: -4*n**2 - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 61 - 8*q + 1 - 25. Is u(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4907030 is divided by 132622.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 91283800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 100267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 441 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j = -10*j - 8700000. What is j rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 9*n - 23*n + 75*n - 2*n + 13*n. Let t(v) = 4*v. Give t(z(s)).\nAnswer: 288*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**6 - 296*d**4 + 7*d**3 + 168835*d**2 wrt d.\nAnswer: -240*d**3 - 7104*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, n: 4, q: 5}. Give prob of sequence nd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11408189 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 7:35 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by 14944.\nAnswer: -39\/14944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h + 169. Let c(d) = 75*d + 8. Let g(j) = 56*j + 6. Let s(y) = -6*c(y) + 8*g(y). Determine s(p(t)).\nAnswer: 6*t - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 452250 and 542700.\nAnswer: 2713500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104450, 104547, 104710, 104939, 105234, 105595, 106022?\nAnswer: 106515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*p + 2*d + 247, 4*d = 4*p - 996. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 101 - 149. Find the common denominator of q\/(-15) - 5\/10 and 133\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 100745 or 100741?\nAnswer: 100745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3*f = -36, 2*p - 51 = -2*p + 5*f. Solve -p*y = -4*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 13166165?\nAnswer: -13166165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, g: 1, w: 1, i: 2, p: 2}. What is prob of picking 1 d, 1 g, and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 1142416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.15 + 0.086. Let w = 0.036 - m. Let h = 0.4 + -0.8. What is the closest to w in -2\/11, -1\/7, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**4\/3 - 3*m**3\/2 + 8*m**2. Calculate the remainder when u(-4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6445 - -130234?\nAnswer: 120456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -22869000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/10 - 12980\/(-50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.7 - -0.3. Let u = 36574\/7 - 5225. Which is the closest to w?  (a) -1\/5  (b) 1\/2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -164*m**3 + 29 - 367*m**3 - 29 + 534*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/((-70)\/4635)*2. Suppose -6*l = s - 2655. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 divided by 5744?\nAnswer: -101\/5744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/4 - (-33)\/12. Let i = 72 + -69. Let p(v) = -v**3 + 7*v**2 + 4*v**i - 2*v**2 - 2*v**r + 2*v. What is p(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7952 and 1568.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 580 is divided by 158.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - 6682207.1567564.\nAnswer: -6682199.1567564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 3\/5, 2, -123?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26187068*s**4 - 18629065 with respect to s.\nAnswer: 104748272*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -2\/7  (b) -3  (c) 4  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -16 - 0. Let x be (-8)\/16*d\/(-1). Solve 2*p = 3*p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55589 divided by 55589.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -60, -62, -54, -30, 16, 90?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 4:42 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 + -34. Suppose -3*h - d*w + 7 = -0*w, h - 4*w = 7. Suppose 3*n = x + 86, -h*x = 2*n - 2*x - 64. Calculate the least common multiple of 7 and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 6*w. Let m(v) = -2*v**2 - 3*v. Let l be m(-2). Calculate s(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8945*d + p = -8940*d + 34, 28 = -2*d + 4*p for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 11*g - 20. Let b be (-96)\/7 - 2\/7. Suppose 3*u + 77 = 2*l + 9, l - 24 = 4*u. Calculate the least common multiple of l and v(b).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (29 + 4 + -20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 993.161 + -989.2. Let l = n - -0.039. Which is the closest to -2\/3?  (a) 19  (b) 3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**6\/120 + c**5\/15 + c**4\/12 - c**3\/3 + 3*c**2 - 14*c. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/4)\/(d\/(d**12\/d)*d)*d**(-6\/13)\/d**(14\/5))**(-1\/46) assuming d is positive.\nAnswer: d**(-1297\/11960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17565 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10704 and 4014.\nAnswer: 32112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 3*p**3 + 0*p**3 - 4*p**3 - 22.\nAnswer: -p**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33094 is divided by 63?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 x, and 1 e when three letters picked without replacement from ejjuuuuaxuueaja?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/10464 and -53\/120.\nAnswer: 52320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16667 rounded to the nearest 100?\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**4 - 96*a**3*v + 2*a*h*v - 71*h*v - 17*v with respect to a.\nAnswer: 4*a**3 - 288*a**2*v + 2*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 6*a + 3 = -u, a - 4*u + 6 = 0. Suppose a*r = 12*r - 18. Let q(j) = 11*j. Let l(s) = -4*s. Give r*q(b) + 8*l(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, f: 1, b: 2}. What is prob of picking 1 b and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -1 - (-54)\/1. Suppose -56*s + 4590 = -89*s - 52*s. Let y = s + d. Solve 2*a + y + 0 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - -20) + (13 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12212002 (base 3) in base 5?\nAnswer: 114033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212212121222 - -22?\nAnswer: -212212121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25070, -25071, -25072, -25073?\n\"Answer: -g - 25069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12a6 (base 11) to base 9.\nAnswer: -2276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (32 + 0)*2\/(-4). Let d = l + 13. Which is smaller: d or -5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3021030 (base 5) in base 8?\nAnswer: 136211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 23. Suppose z = -2*z - 9. Sort 5, v, z in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7*(-20)\/(-315)*3)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 233?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4\/(z\/(z*(z*z**(6\/11))\/z)))\/(z**(-12)*(z\/(z\/(z\/z**2*z)*z))\/z) assuming z is positive.\nAnswer: z**(204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w. Let r be g(-12). Let c(h) = -2*h**3 - 15*h**2 + 18*h - 7. Is c(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/6 - 9601*o\/3 - 31363436\/3.\nAnswer: -(o + 4174)*(o + 15028)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((1 + sqrt(448) - sqrt(448)) + sqrt(448)) + -4)*-2 + (6*(-2 + sqrt(448) + -1))**2*-4.\nAnswer: -65788 + 7008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4825 times -116\nAnswer: 559700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 8:19 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 18\/5, -31.4, -0.7.\nAnswer: -31.4, -5, -0.7, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(1\/4))**36\/(d*d*d\/d**3)**(-2\/19) assuming d is positive.\nAnswer: d**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -5*i - 664, -4*i = 6*f - f - 1119. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 317 - 101. Let m(y) be the first derivative of -y**4\/4 - y**3\/3 + 4*y**2 - 5*y + 19. What is the remainder when s is divided by m(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z + 4. Let b(w) = 3*w - 4. Let v(u) = -5*b(u) - 4*g(u). Suppose -15 = -3*d + 3*h, h + 2*h = -4*d - 15. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10501 + 16623. What are the prime factors of b?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 2*b - 100. Let y be c(8). Calculate the common denominator of -157\/276 and (-206)\/(-12)*(-6)\/y*1.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - 3*d + 1. Let j be k(2). Let u = 104 - 100. Let m(p) = -p + j*p - u*p. Let v(h) = 11*h. What is m(v(z))?\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-627)\/2090)\/(1\/2))\/(6\/(-290))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(2 + 0 + 0)*(-2 + 2*l - 5*l + l).\nAnswer: 8*l + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 + 20 = 0. Let g = 5 - k. Let v(x) = x**3 - 10*x**2 + 20*x + 44. Let a be v(6). What is the greatest common factor of a and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019858963 rounded to six dps?\nAnswer: 0.001986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -69*k**2 - k + 5. Let n(u) = -8. Calculate 2*n(p) + 2*v(p).\nAnswer: -138*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -78*(-2 - (-15)\/9). Suppose -3*g + 31 + u = 3*l, 0 = 3*g - 3. What is the remainder when 71 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3398*p + 7261 wrt p.\nAnswer: -3398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/5)\/((-117)\/(-39))*48?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + r**2 + 6. Let m(l) = l**3 - 4*l**2. Let f be m(4). Is g(f) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -431, -1528, -3347, -5888, -9151?\nAnswer: -13136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 185 - 7. 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: How many minutes are there between 8:16 AM and 5:58 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1387581?\nAnswer: 3, 13, 47, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 148044697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is 250640062 a multiple of 1297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.5 - 0. Let g = 4 - x. What is the smallest value in 1\/9, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 9*l**2 - 12*l + 4. Let j be w(-6). Suppose 4*a + j = -x + 5*x, -5*a = -3*x + 304. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037947226 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/611562 and -131\/36.\nAnswer: 3669372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57 + 28. Let k = m - -29.2. Sort k, 3\/7, 10 in descending order.\nAnswer: 10, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/3 + 34411*s**2\/3 + 100312993*s + 28040487123.\nAnswer: (s + 289)*(s + 17061)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1751788783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*c**5 + 939563*c**2 + c + 52977788 wrt c?\nAnswer: -320*c**3 + 1879126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 55*n + 24*n + 6 + 78*n in the form x + g*n and give g.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 11) to base 6\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*x - 2*y + 25, x - 5*y = -10. Let g(j) = 3*j**3 - 21*j**2 - 7*j + 7. Let w(c) = -c**3 + 7*c**2 + 2*c - 2. Let m(a) = -4*g(a) - 13*w(a). Give m(x).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*d - 64 = -7*i, 4*d = 5*i - 45. Calculate the greatest common divisor of 91 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/14 - (0 - (-18)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 4:53 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9045325393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/17  (b) 6\/7  (c) -1\/16  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 7*s. Let q be j(7). Suppose -2*m - 4*b + 30 = q, -b = 4*m - 5*b - 108. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7127*d + 6754*d - 11470*d - 2567 with respect to d.\nAnswer: 2411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3162 is divided by 144?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2432 and 640.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -4, -50, 1, 231 in decreasing order.\nAnswer: 231, 5, 4, 1, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y**2 - 10*y. What is the units digit of z(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 140\/20 - 4\/1. Find the third derivative of 31*p**2 + 19*p**4 + 3*p**q - 15*p**4 - 8*p**2 wrt p.\nAnswer: 96*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 91 = z - 4*t, 49 = 3*z - t. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(540) - -3*sqrt(540) - sqrt(540))*3)\/(sqrt(192) - (sqrt(192)*-1 + sqrt(192) - sqrt(192)) - 6*(sqrt(75) - sqrt(3))).\nAnswer: -27*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 562 and 1529483?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and -52*(-4)\/16 - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 66 = -11*n. Let y = n + -66. Round y to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -390508 by 838.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c. Let x(q) = 6*q - 11. Let s be x(8). Let t = s + -35. Let y(b) = 14*b**2 - b**t + 187 - 187. Determine w(y(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 - 3 + 6)*(-33*x - 92*x + 56*x) in the form u*x + m and give u.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (35\/(-5) - -4)*40\/(-6). Calculate the common denominator of 4\/4 - (-194)\/40 and m\/360*(-2 + (1 - 6)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 356, 722, 1094, 1472?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-1435)\/(-820))\/((-1)\/((-8)\/2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -2. Let g = 0.28 + -0.18. Which is the closest to g?  (a) 2\/17  (b) l  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 471 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36064 and 3978464?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39334296 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-26)*m)\/(m\/((m*m\/m**(-1))\/m))*m**(-8)\/(m*m**(1\/22)) assuming m is positive.\nAnswer: m**(-727\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84518*i - 4500 = -84293*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -28 - -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/10 - 17\/30. Let o = -0.8 + -0.2. What is the second biggest value in o, c, 0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + i + 1 + 2)*(3*i**3 - 3*i**3 - 2*i**3).\nAnswer: -2*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/3))**26*b**11\/(b**(-20)*b) assuming b is positive.\nAnswer: b**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {e: 6, z: 10, h: 2}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 22. Calculate the remainder when 6480\/140 + 4\/(-14) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 - 45. Let a(d) = 2*d**3 + d**2 + 2. Let g be a(-2). Let h = g - -12. Solve -6 = -h*y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let -2376 + 38*y - 304*y**2 - 8*y**3 + 11*y**3 + y**3 + 2638*y = 0. Calculate y.\nAnswer: 1, 9, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.5808718 grams?\nAnswer: 580871.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2821, 22590, 76249, 180742, 353013, 610006, 968665?\nAnswer: 1445934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 + (-7 - (-9 + (-1 - 2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 202*b**3*s - 537*b**3 wrt s?\nAnswer: 202*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -833*o + 10518 = 16928 + 21079 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 3*r**2 - 3*r + 5. Suppose 8 = -w - 3*w. Let g(n) = 2*n**3 + n**2 - 4*n. Let s be g(w). Determine k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-8)*n*n*n*n**7\/n*n*n)**(-9)*(n\/(n\/(n\/(((n**(-2\/11)*n)\/n)\/n)))*n\/(n*n**(1\/6)))**(5\/4) assuming n is positive.\nAnswer: n**(-6463\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**(-16)*i\/(i*i\/i**(-16)*i*i)*(i**(-8))**(-47) assuming i is positive.\nAnswer: i**374","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 3*m**5 - 219*m**4 + 4950*m**3 - 20574*m**2 - 443961*m + 2893401 = 0?\nAnswer: -9, 7, 21, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 - -24. Let d(n) = n**2 + 6*n + 4. Give d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 11:05 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3\/9 + 988*j**2\/3 - 833170*j\/9.\nAnswer: -2*j*(j - 1105)*(j - 377)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 385 and 3850.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 4:42 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 2. Suppose -4*a = -4*r + 11 + 21, 3*a = -5*r. Let p(w) = -w - 2. Let z(u) = a*p(u) - 4*d(u). Calculate z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -6*h - 462. Let b(z) = 31*z + 2308. Give -2*b(v) - 11*j(v).\nAnswer: 4*v + 466","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = f + 376, -358*a + 357*a - 3*f = 78. What is the second smallest value in a, -3, 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 172*d + 401*d - 51 + 51 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 6 = -2*v. Let u = 1 - 4. Let o = u + 2.5. What is the second smallest value in o, -3, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 - 101?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 8:15 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -11*s. Let a(u) = -u. Let b(i) = -12*i. Let p(r) = 28*a(r) - 2*b(r). Determine p(f(h)).\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -9, -0.3, 3, -0.2 in decreasing order.\nAnswer: 3, -2\/11, -0.2, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 7835286.\nAnswer: -2\/3917643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-68)\/(-17))\/(2\/(2*-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)\/sqrt(3) - sqrt(3) - sqrt(21)\/sqrt(175)) + (sqrt(3) - (-5 + sqrt(3)*4) - (sqrt(3) + (sqrt(243) - (sqrt(243) + sqrt(243)*-1))))**2.\nAnswer: -641*sqrt(3)\/5 + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 5*i**4 - 8*i**3\/3 - 10*i**2 + 8*i - 8. Solve j(o) = 0 for o.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (956\/15057)\/((24\/(-7))\/4).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/((1 + 3)\/(-668)). Let q = v + 2030. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19\/4 - -5. Let q = 31.8 - 9.4. Let r = -22 + q. Sort b, 0, r in ascending order.\nAnswer: 0, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -11  (c) -2843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 217, 1481, 4761, 11017, 21209, 36297, 57241, 85001?\n\"Answer: 160*o**3 + 48*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1190 and 790?\nAnswer: 94010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.9 + 3.3. Let k = 8 - 7.7. Let s = k + -0.1. Which is the biggest value?  (a) s  (b) 5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -81 - -47. Let r = 28 + z. Which is the smallest value?  (a) r  (b) -3\/2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 2*g - 12 = 0, 4*b + 3*g - 703 = 0. What is the highest common factor of b and 4806?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3713 and 5056.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 981 + -967. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*z = 27*z + 38*z - 1144 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(sqrt(19) - (1*sqrt(19) + 0) - (sqrt(95) + (-1*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95)) - sqrt(95))\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 4. Let u(w) = -3*w**3 - 3*w**2 + w - 5. Let o(r) = 4*r**3 + 3*r**2 - 2*r + 6. Let f(j) = -4*o(j) - 5*u(j). What is f(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(280)\/sqrt(8)*1)\/((sqrt(84) + (sqrt(84) - (sqrt(84) - 3*sqrt(84))) + sqrt(84) - sqrt(84))\/sqrt(12)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/(-18) - (-3)\/(-2). Let p = 2134 - 2136. Suppose 3*x = 4*r - r - 9, 2*r + 6 = 0. Sort x, p, c, 1 in decreasing order.\nAnswer: 1, c, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83921?\nAnswer: 83921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96643519.\nAnswer: 7, 19, 37, 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.11 - 1.11. Is k at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/2 in 4068\/13, -2\/9, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 3. Let k = 1 - t. Is k\/3 - (-38)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 2, -4 in decreasing order.\nAnswer: 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3137.09 + 3109. Let u = 1751.1 - 1778. Let g = u - v. Round g to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -86534, -173130, -259726, -346322?\n\"Answer: -86596*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 6:52 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2890 and 680?\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 40621.07ml in litres?\nAnswer: 40.62107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 367 + 407 + 421 + 4*i**2 - 1607 + 412.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**3 - 3*u**4 + 0*u**3)*(-3 + 2 - 3).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g + 32. Let b(s) = -2*s + 33. Let z(c) = 4*b(c) - 3*j(c). Suppose 3*d + 2*d = 0. What is the remainder when 143 is divided by z(d)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 4*t**2 + 5*t + 10. Let u be s(-3). Let v(i) = -3*i - 2. Give v(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: What is prob of picking 2 q when two letters picked without replacement from sqqssssss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmfmmmmfmmmm. Give prob of sequence mmf.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.00874 and -0.0473.\nAnswer: 0.000413402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -0.94488.\nAnswer: -3.05512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v**2 + 0 + 0)*(0 - 4*v - 11 + 8) to the form b + g*v + k*v**3 + y*v**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131 = 5*b + 4*r, 5*r + 40 = -2*b - 9. Let v = b + 49. Let c = v + -1. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 108, -22, 2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*x - 5*q, -2*q = 3*x - 8 + 3. Let g be (-156)\/(x\/5 - 3). Suppose 5*d - g = -n, 5*d + 135 + 159 = 3*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 9*w - 3. Let f be l(-7). Let n = f - -12. Which is the nearest to n?  (a) 2\/7  (b) -2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 5*t + 108 + 196, g - 4 = 0. Suppose n = 3*p - 212, 0*n - 2*n = -2. Let z = p + t. What is the highest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 685 and 0.6?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22238904 by -421.\nAnswer: 52824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16908918, -33817842, -50726766, -67635690, -84544614?\nAnswer: -101453538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*x + 1354176 = -174*x. Let t(h) = -h**2 + h + 40232. Let f be t(0). Let c = f + x. What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141 + 141.4. Let g = 12.6 + -3.6. Which is the nearest to g?  (a) 0.5  (b) 2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 7*p - 5. Calculate t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -120057?\nAnswer: 120053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 1. Suppose 3*t - 4*m - 6 = 0, 0 = 5*m - 10*m. Let y be -1*(t + o)*-21. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 559949053 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 560343, 560945, 561547?\nAnswer: 562149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.02495 + -0.42495. Let v = 1 - 1. What is the third biggest value in j, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -150 greater than or equal to -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -193, -777, -1751, -3115, -4869?\nAnswer: -7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14654ca6 + -1?\nAnswer: 14654ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*b - 10 = -132*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c2da + 76?\nAnswer: c372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-9)*l)\/l**(-4))\/((l*l*l**(3\/10)\/l)\/l*l**(2\/13)))**(7\/5) assuming l is positive.\nAnswer: l**(-4053\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 9, -3\/37, -0.3?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 8*m + 4. Is 6\/36 + (m - 1486\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**3 - 12*c**2 - 10*c - 2. Let d be g(6). Let x = d - 150. Factor 6\/5*v**3 - 3\/5*v**5 + 0*v**2 + 3\/5*v**x + 0 + 0*v.\nAnswer: -3*v**3*(v - 2)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 2*i**2 + 2*i - 3. Let j be b(-3). Let f(c) = -c + 8. Let k be f(j). Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142757 - 14091*b + 142757 + 14091*b + 54*b**2.\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/(-92))\/(1 + 30\/(-16)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 79.1168 + 0.0832. Let f = 79 - z. What is the closest to 0 in -3, 2\/33, f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14.5593*19.\nAnswer: -276.6267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3782 = 277*g + 373 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14195 - 14252.268. Let f = z + -0.232. Let v = -57 - f. Sort v, 0, -0.2.\nAnswer: -0.2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(5\/3))**16 assuming i is positive.\nAnswer: i**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4109 - 39622239.\nAnswer: -39626348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/7, -0.3, 2, 12, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1335651, 2671297, 4006941, 5342583, 6678223, 8013861?\n\"Answer: -l**2 + 1335649*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34800 = -10*w + 14*w. Round w to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20592*z - 2*l = 20574*z + 6, 4*z = 4*l - 148 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 66058498 to the nearest integer?\nAnswer: 8128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 35. Suppose -l = -w - 9. Suppose 2 - 26 = -w*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - (-57 + 46)) + -20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 581714 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-15)\/(-6))\/((-1)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4093825*z**3 - 89419*z - 2 wrt z?\nAnswer: -24562950*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52 - 11 - 51) + (-2 - (-10 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 409320 and 162?\nAnswer: 1227960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 91*i + 655 = -1484. Calculate the remainder when 6669 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 21\/14*(-4)\/(-2). Suppose -7*g + 3*g + 6 = 2*x, -g = -2*x - 14. Differentiate 13*v**4 + 25*v**g - c + 7*v**4 - 24*v**4 wrt v.\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -42.3, -2\/625, -4, -2, 0.4?\nAnswer: -2\/625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*y - 128 = -176 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -16\/7, -15\/8, 11 in increasing order.\nAnswer: -16\/7, -15\/8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*r - 33 - 7. Which is the smallest value?  (a) 1\/4  (b) -0.4  (c) r  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 45*h - 26*h. Let d be 15\/(-3) - (-9 - (-2 - h)). Solve -3*v = 4*b - 3*b + 3, -d*b + 7 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 2\/7  (c) 3  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 35 = -2*d, -8852*t + 8851*t = 4*d - 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 < -0.149817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -4 + (1 + sqrt(1300) + -2 - (-1 + 1 + sqrt(1300))) + 3)*-3)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1363 rounded to two decimal places?\nAnswer: -2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/9 - 40*b**2\/9 - 21398*b\/9 + 42940\/9.\nAnswer: 2*(b - 113)*(b - 2)*(b + 95)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 - b + b + (-5*b + 2*b + b)*(6*b - b - 3*b) - b + b - 2*b**2 + 0*b**2 + b**2 - 2*b**2 - 4*b + 6*b - 2*b + 42932*b**2 - 40952*b**2.\nAnswer: 1974*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -746 divided by 3776?\nAnswer: -373\/1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.008034 * 9550\nAnswer: 76.7247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4998 - 1645 + 820 + f**2 - 6421 - f to c*f + y + d*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 4 = -21*t + 23*t, -3*h = 2*t - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 120938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*q - 4*s, 2*s + 6 = 5*q + 4*s. Suppose 5*k + 296 = g, -q*k = -2*g - 132 + 708. Calculate the highest common factor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 4*l + 9. Let n be z(-5). Calculate the highest common factor of n and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i - 14. Let p(n) = n**3 + 6*n**2 + 3*n - 10. Let s be p(-5). Suppose 3*g - 34 = 3*q + 8*g, -4*g + 4 = s. Does 12 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 88 = -4*v, 6*v = 8*v - 6. Let x(y) = -4*y. Let g be x(-10). What is the highest common divisor of g and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of g**4\/2 - 2*g**3 + 3*g**2 - 7*g - 57. Let v be x(3). Which is the third smallest value?  (a) v  (b) 1\/2  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000005934622566 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of 4*m**5\/5 - m**4 - 16*m**3\/3 + 8*m**2 - 334. Factor h(z).\nAnswer: 4*z*(z - 2)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**5 - 4*z**5 + 4*z**5)*(90 + 128 - 647).\nAnswer: -858*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 501228 and 3717441.\nAnswer: 44609292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + 205\/50)*5\/2. Factor -y - 1\/4*t**2 - 1\/2*t.\nAnswer: -(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/64 and -149\/938928.\nAnswer: 3755712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*b**3*y**3 - 67*b**3*y - 113*b**2 + 6*b*y**3 - 3*b*y + 2*b - 10*y**3 + 57*y**2 wrt b.\nAnswer: -102*b*y**3 - 402*b*y - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113913418?\nAnswer: 2, 79, 720971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/127455 and -191\/2610.\nAnswer: 764730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -728*h**2 + 3*h + 104*h**4 + 52 + 48 + 240 + 110*h**4 - 218*h**4 wrt h?\nAnswer: -48*h**2 - 1456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.718533 nanograms to tonnes.\nAnswer: 0.000000000000000718533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.13 times -100370694\nAnswer: 13048190.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 33*i**2. Let g(w) = -10605*w. Give g(h(n)).\nAnswer: -349965*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 828*z + 467. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1701)*2*6)\/((sqrt(4032)*1)\/sqrt(9)).\nAnswer: 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*p + 390 = -3*p, i - 4*p = 195. Let h = 112 - i. Let u = h - -92. Is 12 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*n - 2*n. Suppose -n*f - 12 = -6*f. Suppose u + 4 = f*u. Solve s - 8 = -j, u*j = -0*j + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*a, 7*k + 164 = 9*k + 4*a. Suppose 3*g + 4*j - 13 = 32, 4*j = 3*g - 21. What is the highest common factor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9)*m*m**(-19))\/(m**(1\/7))**(1\/5) assuming m is positive.\nAnswer: m**(-946\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 559962 and 311090.\nAnswer: 2799810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 + -25. Let w be f + (-842)\/211 + 0. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 0*w + 2\/7*w**2 + 7 + 46\/21*w**3 - w**6 + 19\/14*w**4 - 46\/35*w**5. Solve c(z) = 0 for z.\nAnswer: -1, -2\/21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wxn when three letters picked without replacement from {u: 2, n: 5, q: 3, w: 1, x: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l + 4. Let i be (4\/6 + 1)*3. What are the prime factors of k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21279*u**3 - 42558*u**3 + 21287*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.74305*0.28.\nAnswer: -0.488054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -121*z**3\/9 + 84139*z**2\/9 - 198367*z\/9 + 13013 = 0.\nAnswer: 13\/11, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1911 - 19*i**3 - i**2 + 3*i**2 - 1893 - i**2 in the form a*i**2 + q*i + k + m*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + sqrt(1216)*2)**2.\nAnswer: -14640 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*d**4 + 2*d**3 - 35*d + 2*d**2 + 0*d**2 + 16*d**4 to b*d**3 + n*d**4 + f*d + j*d**2 + a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1100 (base 2) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4 + 10508*l**3 + 62962*l**2 - 73472*l = 0. Calculate l.\nAnswer: -5248, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 5:52 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o**(-2\/7)*o)**(-4)*(o**1)**(-2\/33))**(-18))**36 assuming o is positive.\nAnswer: o**(544752\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5292181723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -8*(-3 - -2 - 0). Let f = -471 + 474. Suppose -4*h + f*w + 6 = 0, 4*w = -16*h + 19*h - 1. Solve 2*z - l + 8 = -5*l, k = -z - h*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**6*c\/((c**5*c)\/c))\/(c**7*c*c**(-3\/5)))\/(c**8\/c**9)**(31\/4) assuming c is positive.\nAnswer: c**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2499*x. Let j(k) = 122*k**2. Determine l(j(h)).\nAnswer: 304878*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 729 bigger than 730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t\/(t\/(t*t*t**(-1\/8)))*t)\/(t**(2\/53)*t)*t**(-14)*t**(3\/2) assuming t is positive.\nAnswer: t**(-3673\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 + 2*s**2 - 5*s**2)*(-s**2 + 0 - 8 - s**3 - s**3).\nAnswer: 4*s**5 + 2*s**4 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/33532 and -21\/141100.\nAnswer: 14251100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -84.7 + 5.7. Let l = 78 + t. Let x = 0.84 + -0.14. Which is the nearest to 0.2?  (a) x  (b) l  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29220586 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1778 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/94 bigger than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/2*-2 + 1. Let v = 11 - r. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/19 in -0.1, -2, -1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14818 is divided by 407?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2454*n**5 - 205*n**2 + 2*n?\nAnswer: 147240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -5*a + 4*z - 47, 2*a - 3*z = 34. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) 5  (c) -5  (d) -6  (e) -4  (f) 28  (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-10 + -6 + 16)) + (-3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 723465503 is divided by 4195.\nAnswer: 4193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -5*n**4\/12 - 7*n**3\/6 - 8*n. What is the second derivative of w(z) wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34 - 8) + -28 - (-1 + -8) - -30?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 122 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -31, -46, -63, -82, -103?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 2. Let h be z(0). Put h, -1, -5 in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*c = 78*c - 107964. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12933 * -0.3.\nAnswer: 3879.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 5*r + 135. What is the units digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 52*d**5 + 43*d**5 - 143*d**5 + (0 - d**4 + 0)*(-3 - 2*d + 3) - d**5 + 3*d**4 - 3*d**4 + 2*d**2 + 2*d**5 - 2*d**2.\nAnswer: -45*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + 1\/(-3)*-9. Let f = 66 - 34. Calculate the greatest common divisor of c and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -157814, -159747, -161682, -163619, -165558?\nAnswer: -167499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4229?  (a) -1  (b) -11  (c) 1\/4  (d) 1\/3  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-47)\/((-705)\/20)*39\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 39, 68, 107, 162, 239?\n\"Answer: b**3 - b**2 + 25*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6\/39 + (-1330722)\/(-741) is divided by 164?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 3130566642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (120\/(-2))\/((-8)\/(-76400)). Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 538313 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 20\/17  (c) 2  (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**5 + 1315*t**4 + 171395*t**3 + 333485*t**2 - 506190*t = 0 for t.\nAnswer: -94, -3, 0, 1, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2667215242.\nAnswer: 2, 59, 1733, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*t - 9337 = -2333. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 1518538?\nAnswer: -7592690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 8*d = 5*w - 70, 0 = 4*d + 5*w - 57. Calculate the remainder when d is divided by (-35)\/(-2)*2\/(-25)*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of q**3\/3 - 5*q**2\/2 - q - 4. Let t be -8*(-2 + 6\/4). Determine c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 2:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 31959143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6181512, -6181496, -6181454, -6181374, -6181244, -6181052?\nAnswer: -6180786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 4*g**2 + 5. Let x(w) = 27*w**2 + 12*w + 32. Let n(h) = 675*h**2 + 297*h + 801. Let c(l) = -4*n(l) + 99*x(l). What is -5*c(u) - 36*m(u)?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, r: 3}. What is prob of picking 2 j?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 3*a - 3*a)*(-299*a - 288*a - 40924 + 228*a + 40930 - 266*a).\nAnswer: -1250*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/6*(-6)\/(-10). Suppose -84 = -n*c - 14. What is the highest common factor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11574.3 - 11457. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 - 2*d**2 + 6*d**2 + (-3*d**2 + 4*d**2 - 2*d**2)*(0 - 7 - 5) + d**2 + 0*d**2 + 0*d**2 + (4*d - 2*d - d)*(0*d + 2*d + 2*d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 42661901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24355 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 16 = 5*k, 7 = -k + 6*p - 10*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 1 - 4. Suppose -4*w - 3*f + 1 = 7, -3*f - 9 = 5*w. Let s be (w + -3)*(-2)\/u. Put s, -2, 2 in descending order.\nAnswer: 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*g - 18*g - 88. Which is bigger: g or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**2 - 2*m - 4. Let p be l(3). Suppose 5*v - p - 1 = -4*x, 15 = 2*v + 3*x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 - 5?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2982 * -108069\nAnswer: 322261758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0025 + 7.\nAnswer: 7.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 234*b - 4771. Determine w(21).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/16*-2*(-2704)\/845.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbslbstbsssssss. Give prob of sequence lts.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 43\/4 of a micrometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 73*j - 227. Let m be u(76). Put -547, m, 5, -4 in descending order.\nAnswer: 5, m, -4, -547","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 23 = 37. Suppose c = 3*o - 0*o. What is the second derivative of 4*q - 16*q**5 + o*q**5 + 6*q**5 wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 39  (c) 0.3  (d) -1.9  (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 580*o**2 - 20025*o + 19440.\nAnswer: 5*(o - 27)*(o - 1)*(o + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 975988673.\nAnswer: 11, 43, 79, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 + -13 - 8) + 12 + -13 + -65.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -9. List the prime factors of (-134)\/b + (-4)\/8.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -30\/28949 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - 2 - (0 + -3). Let o be -2 - v - -27 - -3. Let g = -15 + o. What is the greatest common divisor of 52 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54276616 and 3154.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*((-192)\/(-18))\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1.28 times -5\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -17*o. Let b(l) = -11*l**2 + 21*l**2 - 9*l**2. Calculate i(b(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h**3 + 21*h**2 + 2*h + 3. Let b(q) = 8*q**3 - 64*q**2 - 7*q - 10. Determine -7*a(c) - 2*b(c).\nAnswer: 5*c**3 - 19*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 5 = -5*g, -4*g - 12 = 2*b. Let t be (4\/(-32))\/((-2)\/b). Let c = -260 + 261. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -129824 or -389476\/3?\nAnswer: -129824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*m + 96 = -12*m. Suppose 4*k + m*p = 8*p + 1976, 5*k + 4*p - 2470 = 0. Is k a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y. Let g(r) = -177*r**2 + 3*r - 3. Let j(w) = -175*w**2 + 4*w - 4. Let l(z) = -4*g(z) + 3*j(z). What is x(l(f))?\nAnswer: -183*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57)\/133*(-6)\/27*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1315*m - 8450 = -479*m + 19138 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 + s**2 - 2*s**3 + (1 + 1 + 0)*(492*s**3 + 12957 - 12957) to f*s**2 + v*s + n*s**3 + y and give n.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72664 and 31432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*v - 11, -4*v + 0*r + r + 2 = 0. Let u(m) = -m**2 - 4*m + 4. Calculate the least common multiple of u(-4) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - (6 + 1 + -2). Let z be 49\/28 + v\/(-4). Suppose -3*s = -z*s - 797. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2627\/15 + -175. Let j be 0 + 3 - (-1 - -1). Let m be j - (0 - -2 - 0). Is p less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -39*p**2. Let r(y) = y**2 + 6. Let q(v) = -1. Let l(t) = 6*q(t) + r(t). Determine l(d(f)).\nAnswer: 1521*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-1)\/8*8\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b = -4*f - 18, -2*b - 3*f = -4. Let s = -0.3 + -5.7. Let c = -6.4 - s. What is the smallest value in c, b, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1333 < -2023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 3*f + 4, -w = -2*f - 13 + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8\/39  (b) -3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 45*h**5 + 8*h**4 + h**2 + 60*h - 24 wrt h?\nAnswer: 2700*h**2 + 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -109\/2?\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -104 - -116. Let y = 3 + -6. Let f be (-1 - 43*1)*y. What is the greatest common divisor of m and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2905, -11465, -25733, -45709, -71393, -102785?\n\"Answer: -2854*s**2 + 2*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 18 - 12 = 0. Suppose 0 = 2*u - 4*b - 38, 1 + 9 = -t*b. Solve m - 1 = h + 4, -h - u = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.31 + 115.91. Let l = y - 115. Let v = 233 + -2099\/9. Sort v, 0.5, l, -1\/10.\nAnswer: l, v, -1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(468) - sqrt(468)*5).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25*h**2*m - 6*h**2 + 2*m + 1 wrt m.\nAnswer: 25*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y + 30. Calculate o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 612683 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.042 - 0.542. Let o = 14 + -13. Let g = 3\/4 - 23\/20. What is the closest to 10 in o, z, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 10 - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 + -26 - (-6 - 1)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 9*d - 707. Suppose -13*x + 3 = -d. Solve -3*o = 7 + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 14*b - 20. Let d be m(-14). What is the least common multiple of 516\/15 + 1\/(d\/8) and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(-13*r - 2*r - 4*r) - 4*r - 4*r + 6*r + (1 + 4 - 3)*(r + 3*r - 6*r) + 3*r - 2*r + 0*r - 1 + 2*r + 1.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3380\/(-39)*27\/(-15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) + (23212\/70 - 4). Let c = i + -320. Solve 0*p - 8 = -c*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -8885?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 11:54 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*s - 27 = 17*s. Put 0, 2, s, 6 in decreasing order.\nAnswer: 6, s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32815711 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 404224 (base 5) to base 8.\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -96*o - 13*o**2 - 14 + 5*o**2 + 4 + o**3 + 97*o. Give p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.15+158\nAnswer: 157.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 60\/6*(-1)\/(-2). Suppose -4*a = z*s - 10, 3*a - a = 0. Suppose 1 - 7 = -s*x. Solve 0*b - b = x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 4, w: 5, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -509 in decreasing order.\nAnswer: 3, -1, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ozozozzoozooooooooz. What is prob of sequence ozzz?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/9 and 13\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 178205563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 604.7943 months in centuries?\nAnswer: 0.50399525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4488 and 2376.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 846358 is divided by 2239.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49951 = -4278*t + 4267*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (119*u - 77*u**2 - 119*u)*(-2*u**2 + 2*u**2 - 4*u**2) - u**4 + 0*u**4 + 2*u**4.\nAnswer: 309*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2437214?\nAnswer: 2, 13, 93739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 17*k - 45*k + 19*k + 14*k + 3. Let r(m) = -14*m - 10. What is -2*r(z) - 7*w(z)?\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/3 - 834\/9. Let h = 123 + j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r**2 - 6*r + 1. Suppose 175 = -8*y + 199. Give n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g + 2*g + 0*g)*(3 + 3*g - 3) - 278*g**2 - 4*g + 94*g**2 + 7*g - 164*g**2 - 3*g to f*g**2 + l + m*g and give f.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n + 4. Suppose -5*p = -2*z + 23, -13*z = -p - 10*z - 15. Determine w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3*x + 1)*(-x - 4*x + 3*x) + (x - 8*x - 5*x)*(-2*x + 3*x + x) as d*x + k*x**2 + l and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-6))\/((58\/(-8700)*-25)\/((-1)\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -704 + 704. Let u = -0.8 + 2.9. Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9278 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 + -5.5. Let s = 16.3 - 16.4. Let m = s + 0. Which is the third biggest value?  (a) 5  (b) 0.1  (c) g  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/11 - (-3 - 1152\/(-440))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 26*l**3 - 412*l**2 - 89*l + 397. Calculate z(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 36*k**3 + 14*k**2 - 7*k - 6. Let z be w(-2). Which is bigger: -198 or z?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 1. Suppose d + 15 = g*w + 2*d, 3*w = -2*d + 2. Solve w*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -537214*c + 643830 wrt c.\nAnswer: -537214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 9, h: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j + 10. Let x be q(-4). Let b be (0 + 8\/x)*18\/4. Let y = 101 + -59. What is the highest common factor of b and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/4937340 and -121\/570?\nAnswer: 4937340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 18*c**2 + 19*c - 17. Let l be n(17). Solve 2*y - 4*m + 13 = m, 0 = -5*y - 3*m - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15643375.14275 + -0.5?\nAnswer: -15643375.64275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*d**5 + 3466484*d**3 + 318222810*d wrt d?\nAnswer: 860*d**3 + 20798904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 523917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42206017?\nAnswer: 7, 6029431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - l - 0*l + 10, -4*f = 4*l - 16. Suppose -f = -2*m + 6. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128677224 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 216540\/19 - 36793351\/3230. Let t = 27\/17 + a. Calculate the common denominator of (-1 + 15)*(-22)\/(-136) and t.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*c**2 + c**2 + 0*c**2)*((-586*c + 957 - 957)*(-c - 2 + 2) + 2*c**2 - 2*c + 2*c) in the form w*c + r + i*c**2 + u*c**3 + o*c**4 and give o.\nAnswer: 5880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5068760*w**3 + 133737*w**2 wrt w?\nAnswer: -30412560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**3 - 7*l**2 + 7*l + 8. What is the hundreds digit of r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6\/z*z*z**(-5))**(7\/3)\/((z**1)**(-9)*z**(-1\/4)\/(z\/(z*z*z**(-4)\/z))) assuming z is positive.\nAnswer: z**(187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-316958.\nAnswer: 63391.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 9*g - 6*g - 3.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 15*v**2 + 15*v + 10. List the prime factors of k(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -10*f + 3. Let c be -2 + 2 + 0 + -3. Calculate the remainder when 65 is divided by q(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -190 + 212. What is the smallest common multiple of s and 2\/(-1*(-1)\/2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -79694*m - 637549. Determine t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -207516 + 9?\nAnswer: -207508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, e: 9}. Give prob of picking 1 q and 1 e.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**2 - 3*t**2 + t**2)*(0 - 9 + 16)*(-48 + 60 + 123).\nAnswer: 1890*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 4 + 3)*(0*i**2 + i**2 + i**2) + i**2 + 5*i**2 - 4*i**2)*(-3*i**2 + 2*i**2 - 7*i**2)*(2*i - 4*i + 0*i)*(4 - 1 - 1).\nAnswer: 576*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 723.0728 - 723. What is u rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-18)*((-466)\/(-51) + 64\/192). Are k and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g + 16. Let i = 43 - 31. What are the prime factors of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 1197*s + 83796. Calculate t(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*t - 16 = 0, -5*i - 4*t = -2*t + 2. Sort 0, -1, -4, i in descending order.\nAnswer: 0, -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -82\/2473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -107984511 bigger than -107984509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 112 = -51*s - 211, -3*k - 2*s + 30 = -18 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 1946169706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -75*q + 41*q + 35*q - 8. Let h be i(3). Let j(x) = -33*x + 21. Let w(s) = 8*s - 5. Give h*j(d) - 21*w(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5040 and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*sqrt(200) + -3 + sqrt(200) + -3 + sqrt(200) + -5 - ((sqrt(200) - (2 + sqrt(200) - sqrt(200))) + -2 + -3 + 5))**2.\nAnswer: -540*sqrt(2) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*86930.\nAnswer: -260790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/9 + 8326*g**2\/9 - 330640*g\/9 + 3298400\/9.\nAnswer: -2*(g - 4123)*(g - 20)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -10*p - 6. Let g be v(6). Let n be 5\/(-25) + (-174)\/5. Let j = n - g. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1723*f**2 + 3819682 - 6*f - 3819682 + 6*f.\nAnswer: -1723*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**2 + 3039*k - 76986 = 0 for k.\nAnswer: 26, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 641?\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 + 121 = 4*f. Suppose 0 = -f*k + 10*k - 25. What is the closest to 1\/23 in 0.1, -4, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4521566.9438 + -795.\nAnswer: -4522361.9438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -4 - 20*g + 11*g + 12*g + g**2 + 5*g. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 12, -2\/3, 10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/7, -0.09186333, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -175\/4 - -653\/20. Suppose 2*p = -2*p - 84. Calculate the common denominator of r and (-239)\/102 + 7\/p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/((28\/(-12))\/(17\/(-51)))*(-50)\/(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*h**4 + 29*h**3 + 638*h**2 + 2*h - 1024474 wrt h?\nAnswer: 12*h**3 + 87*h**2 + 1276*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 306 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 8:42 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/55 + 24\/(-11). Let t be -4 + (-4)\/c - 2. Let x be t\/6 - 22\/(-6). Solve 0*q + 3*q = -x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 201 + 433200?\nAnswer: 433401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 405 = -3*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (0 + -3 - (11 + -5 + -21)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -737817 and -92?\nAnswer: 737725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -6, -505, 23, -2\/5, -1 in increasing order.\nAnswer: -505, -6, -1, -2\/5, 1\/6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 863597 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41344887698 + -41344887926.99999863. Let y = d - -229. Round y to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u - 31*u = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 9*b + 10. Let u be d(-8). Let t = u - 0. Let j(i) = 11*i**3 + 4*i - 3. Does 24 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78636 - 18051 = 35*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 5*u + 4. Suppose 0*o = o - u. Calculate the greatest common divisor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 797275.6t?\nAnswer: 797275600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -123 - -6 - (-5197 + 5164)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6427360 or -6427361?\nAnswer: -6427360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 2  (b) 3  (c) -0.1  (d) 199\/2  (e) -61.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**4 - 40*o**3 - 108*o**2 - 72*o.\nAnswer: -4*o*(o + 1)*(o + 3)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -2383860, 2, 5 in increasing order.\nAnswer: -2383860, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1386 divided by -2113?\nAnswer: -1386\/2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-105 - -102)\/(1\/(26\/(-6))). Suppose 2*y + t*y - 30 = 0. Solve y*g = 5*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 187076*c + 3 - 9.\nAnswer: 187076*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**2 - 31*j**3 + 0*j**2 - 280*j**3.\nAnswer: -311*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 392, 415, 452, 503, 568?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*z + 4 = -2*z, 16 = 4*z. Suppose -4*r + 44 = d*w, 7 = 2*r + 4*w + w. What is the remainder when r is divided by ((-297)\/(-132))\/((-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 + 82. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 20. Let q(r) = -4*r + 1. Let n(c) = -26*c - 14. Let v(m) = 9*m + 5. Let u(j) = 6*n(j) + 17*v(j). Calculate i*q(z) - 6*u(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7543304 divided by -942913.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 47*d**2 + 34*d + 698. Determine a(-45).\nAnswer: -4882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -4*r + 3. Let b(u) = -5. Let i(c) = -5*c - 6. Let l(h) = 2*b(h) - i(h). Calculate 6*d(a) + 5*l(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 105*r**2 - 21*r + 22. Calculate the least common multiple of 106 and l(1).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**5\/20 - z**4\/6 + z**3\/3 - z**2 + z. Suppose -5*y + 8*q - 5 = 11*q, -2*y - 2*q - 6 = 0. What is x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 252 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h**0))**(-10))**(1\/33) assuming h is positive.\nAnswer: h**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/930 and -94\/465?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-4 - (-6741)\/7). Suppose 4*a - 2*l = 3942, -a - 4*l = l - u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x - 6. Let m be v(4). What is the units digit of 6\/m + (-366)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.2 and -276.\nAnswer: 883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.78 + -749.56419.\nAnswer: -747.78419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20.28 + 1.32. Let c = 22 - k. Let f = 11.4 - 11.2. Put c, -0.4, f in ascending order.\nAnswer: -0.4, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*w - 5*w - i, i - 32 = -5*w. Let j(a) = -a**3 + 7*a**2 - 5*a + 1. What is j(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2001 divide 24005997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 298, 451, 632, 841?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 1. Let c(b) = 5*b + 1. Let n(j) = c(j) + 3*x(j). Let w(s) be the second derivative of s**3\/3 + 5*s**2\/2 - 2*s. Calculate 5*n(r) - 4*w(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -55, 15\/11, 120\/343?\nAnswer: 120\/343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of 7\/120*n**6 + 8 + 0*n - 14*n**2 + 0*n**4 + 1\/3*n**3 + 1\/60*n**5. Let g(l) = -3*l**3 - 1. Determine 5*g(q) + 2*w(q).\nAnswer: -q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 3:05 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -19.818, -3\/7, 4, -3\/2, 2, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7763 - 1) + (-3 - -3). Let z = -8\/7050281 + -1204956475253\/155106182. Let u = i - z. What is the common denominator of u and -121\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31808 is divided by 560?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 256*g**3 - 10725*g**2 + 10725*g**2 + 64*g**3)*(g - 2 + 2).\nAnswer: 320*g**4 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 1908)\/(21\/(-2186 + 23)). Round c to the nearest 1000.\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2291 - 2307 - (1 + -39).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**2\/5 + i\/5 + 12\/5 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aiijaymayaaaaiiiamj. Give prob of picking 1 a, 1 y, and 1 m.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - d**2 - 1)*(-9*d - 2*d + 23*d)*(-30379 + 30379 - 290*d).\nAnswer: 3480*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.4, -3, -4, 21, -167, -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uwuuuuuwuwuwuuwu. Give prob of sequence uuuu.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 416 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (150\/1400)\/((-2)\/8)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-4*sqrt(306) + sqrt(306))*6 - sqrt(306))\/(4*sqrt(2)*1 + sqrt(162)*-1).\nAnswer: -342*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -843020*y. Let h(b) = 41*b**2. Determine h(u(c)).\nAnswer: 29137991536400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 71, 92, 121, 158?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143*j*m*r**2 - 10*j*m*r + j*m - 2*j*r**2 - 2*j*r - 67590*j + 151944*m*r**2 - m*r - m wrt r?\nAnswer: -286*j*m - 4*j + 303888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 606 - 296. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 83 + 11. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -539*h. Let t(b) = 5*b - 10. What is t(x(q))?\nAnswer: -2695*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - 6*g + 15. Let t be o(4). Suppose 6*b + 5*m - 13 = 8*b, 4*b = -m + t. Sort -25, b, -1.\nAnswer: -25, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -11*t + 38, -t + 12911 - 12903 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 522 divided by 38888\nAnswer: 261\/19444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 251385 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*y = 3, 3*p - 3*y = -0 + 18. Calculate the remainder when ((-2)\/(-6))\/(1\/9) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137 + 113 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let u(r) = -13 - r + 3 + 8. Let c = 53 + -47. Give u(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 42*f**2 - 5333*f - 133. Calculate h(127).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22496853 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 9*l**2 - 3*l + 9. Let j be x(-8). Let r = j - -38. What is the second smallest value in r, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1210*l**5 + 24762*l**3 - 492575182*l**2 wrt l?\nAnswer: 72600*l**2 + 148572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 458.61939 and 51.3.\nAnswer: 509.91939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 93\/(-63) - 2\/(-14). Which is the third biggest value?  (a) 1\/2  (b) 2\/9  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -20615  (c) 1\/231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3*r - 10. Let b = 11 + -7. Let g(w) be the second derivative of -2*w**3\/3 + w**2\/2 - 77*w. Let s(c) = -3*c + 1. What is b*g(f) + r*s(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.123 - 85.123. Let r = l + -50. Let h = -144 - r. Which is the biggest value?  (a) h  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 - 46. Let a be (-2)\/(-85)*(13 + x). What is the biggest value in a, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 120 - 130 = 0. What is the least common multiple of 275 and v?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -27*y + 4. Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 76*c**2 - 4*c + c - 17029*c**3 + 17026*c**3 to v*c**3 + q + h*c + l*c**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -160 - -84. Let x = p + 79. What is the nearest to -1 in 1\/3, 23, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 2*m + 137 = -429, -g - 4*m = -100. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(20\/(-8))*((-9352)\/280 - -34)*30\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b + 4. List the prime factors of h(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3283*g + 151 + 3283*g - 191*g**2 wrt g.\nAnswer: -382*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 61 in 2, -0.4, 0.5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1103630 by 6.\nAnswer: 551815\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -39 + 59 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1038170624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2805839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -35) + -6 + 195 + -172\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 + 8\/(-2))*-3. Suppose -222 = a*d - 9*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3*u + 9. Suppose 0 = 12*q - 9*q + 21. Let d(j) = -2*j + 5. What is q*d(b) + 4*k(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.21118nm to meters.\nAnswer: 0.00000000621118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l + 5. Let n be i(3). Let x(o) = o**2 - o + 5. Let f be x(n). Solve f = 7*s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 25 = 3*h. Let g = -69 + 58. Let l(x) = x**3 + 9*x**2 - 26*x + 4. Calculate the remainder when l(g) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17799, -71332, -160597, -285594, -446323?\nAnswer: -642784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 61710\/2046 + 7\/(14\/(-60))?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-402)\/36)\/(40\/(-24)*1\/10). Calculate the greatest common factor of 8576 and t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-34)\/(-2) + -3)*(-5095)\/(-10). Let h = f + -2248. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 + 1151520*t.\nAnswer: -3*t*(t - 383840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-5) + ((-2)\/2)\/(680\/(-1781192)). Calculate the greatest common divisor of d and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k**3 + 1862565*k**2 - 260832600*k + 9129998500 = 0. What is k?\nAnswer: -372653, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of 3*p**3 + 9*p**2\/2 - 6*p. Is a(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.3  (b) -1\/2  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {g: 1, b: 7, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-9) - (-86)\/(-18). Let o(a) = -a - 3. Let u be o(c). Suppose u = 4*z - 18. Solve 0 = b + k - 3 + 1, 4*b - z*k + 19 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 9*l**2 - 6*l + 9. Calculate w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1165 by 5.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 28364, 28354, 28330, 28286, 28216, 28114, 27974, 27790?\n\"Answer: -t**3 - t**2 + 28366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -45*o - 118. Let k(i) = -88*i - 237. Let a(q) = -7*g(q) + 4*k(q). Let h be a(-6). Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.43597 - 3022.0848?\nAnswer: -3021.64883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 + 40*v**2 + 29*v - 61. List the prime factors of w(-19).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 2709248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cvvv when four letters picked without replacement from vcwnvvnwnhk.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90886 divided by 907.\nAnswer: 90886\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.3216 and -410711.14?\nAnswer: 410708.8184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130728 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 1267894.\nAnswer: 1267894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*r + 16 = 0, -2*y - 2*r = r + 6. Let u be (8\/(-12))\/(1\/y). Let f be (6\/2)\/(-7 + u). Is -2\/5 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.1 - -2.1. Let s = -8 + v. Let m = 4.32 - 4.38. Which is the closest to s?  (a) m  (b) 2  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t - 19*t - 2*h = 16, 5*t - 2*h = 22. Solve 16 = -t*a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 5*c = 10, 4*c - 560 + 552 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*d + 29*d - 81660. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -7770*z + 31077. Give c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*o - 16 - 8, -15 = -v - 4*o. Solve -3*y - 4*m + 18 = -3*m, -5*y = -v*m - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, j: 1, e: 4, p: 1}. What is prob of sequence pdze?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (158\/4)\/(1 - 3\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 750 and 10338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 - 3*m**2 - 24*m - 4. Let d(l) = -l**3 + 3*l**2 - l - 4. Let a(c) = -2*d(c) + h(c). Determine a(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 5:47 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6906376 or 41438255\/6?\nAnswer: 41438255\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -46 - 51 - 4*x - 31 - 41 + 112. Calculate q(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 9*z**2 + 11*z + 23. Calculate s(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6 - -6)*(-10 + 9). Suppose -3*j - 5*l + 1049 = m, 3*l = 3*j + 183 - 1224. What is the remainder when j is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71, 100, 171, 302, 511, 816, 1235?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 2:20 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.317981 to 3 dps.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140781?\nAnswer: 3, 167, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 883*f. Let j(c) = 14*c + 9. Determine v(j(p)).\nAnswer: 12362*p + 7947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -3*j. Let r(q) = -1729518*q**2 - 3*q + 1. What is b(r(k))?\nAnswer: 5188554*k**2 + 9*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 1  (c) 0  (d) -275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -259 - -262. What is the nearest to -1\/5 in -0.2, g, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 57*a*u**4 - 29954*a*u + 162*u**5 - 4*u**2 wrt u?\nAnswer: 1368*a*u + 9720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 113181  (b) -3  (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -221*n**4 + 24*n**3 + 96 + 29*n**2 - 222*n**4 + 160*n + 445*n**4 + 67*n**2.\nAnswer: 2*(n + 2)**3*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 0.158  (b) -3  (c) 1  (d) -7660  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/9*-3)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 475 - 475 - 13*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21.17 + -1848.17. Let g = 1828.478 + n. Round g to two decimal places.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2496*v**3 + 2*v**2 + 17*v + 16. Calculate the remainder when m(-1) is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwgrgwrgggwrrgrgggrg. What is prob of sequence gr?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 4*v - 0 + 6, 6 = -3*x + 5*v. Is 45 a factor of ((-36)\/(-14))\/(x\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5314163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h*w**3 - 7*h*w**2 + 4*h + 955*w**3 - 3*w**2 + 34065*w wrt w.\nAnswer: -12*h*w - 14*h + 5730*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00090660989 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**5 + 2*b**5 - b**5 + (2*b**3 - 2*b**3 + 2*b**3)*(3*b - 3*b - 2*b**2))*(2 - 1 - 2).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-5))\/(n\/((n\/(n*n**(-3\/2)*n))\/n)))**50 assuming n is positive.\nAnswer: n**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -3*h - 2. Let j be c(-1). Calculate the greatest common factor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - 262\/12)\/((-1)\/6). Let i = 155 - n. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905190 to the power of 1\/2, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**2\/5 - 694994*a\/5 + 417000 = 0.\nAnswer: -347500, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 - 737*n - 732*n - 730*n + 2195*n as f + z*n and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1 times -0.08?\nAnswer: -0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 1:39 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1088529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1099 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.66 * -0.063.\nAnswer: -0.10458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 11*l - 28. Let z be o(8). Let g be (-227)\/4 - 15\/z. Let d = -53 - g. Solve -d = 4*c, -s - 4*s - 2 = -3*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61 - -122?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 3:56 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2313 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 3. Let l be f(-8). Let y be -2 + (l\/1 - -3). Let j = y + -1. Solve 3*s + j = 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1191*p = -54*p + 12109 - 3394 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20568 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -137508 (base 10) to base 3.\nAnswer: -20222121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 327 - 298. What is the derivative of -s*z**4 - 56*z**4 + 44*z**4 - 102 wrt z?\nAnswer: -164*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 429248 and 6422?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 84560748 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: Suppose 3*b = j - 0*j - 51, j - 48 = 4*b. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -529 - -556. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96388040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p - 5*p + p + p in the form r + f*p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 423*d**4 + 1728*d**4 - 5*d**4 + 6*d**4 - 3*d**4 - d**4 + (-d**3 - 3*d**2 + 3*d**2)*(-4*d - 4*d - 3*d) as s*d**3 + x*d**2 + k*d**4 + v*d + y and give k.\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 - 1)*(-3*h + 3*h - h) - 5*h + 4*h + 3*h + 0*h - 3*h + 5*h + (-2 + 3 + 0)*(0 + 0 + h) + (-11 + 16 + 22)*(3*h - 7*h + 3*h) as k*h + m and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*o = 446*o + 456*o - 8082 - 330 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 557, 1087, 1617, 2147?\n\"Answer: 530*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 2. Let m be v(10). Let i = 36 + m. Suppose -2*c + 3*c - 154 = 0. What is the highest common divisor of c and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55771*u**3 - 9065*u + 2.\nAnswer: -334626*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 55807.1 and -6?\nAnswer: -334842.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12575267 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 143b + 1104?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/13, -0.015, 31, -1, -2\/9.\nAnswer: -1, -2\/9, -0.015, 7\/13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**4 + i**4 + 7828560*i - 1240 - 7830690*i - 120*i**3 - 1015*i**2 = 0 for i.\nAnswer: -4, -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 214341.6um?\nAnswer: 0.2143416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 7 + 3 + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31 - 19) + 134\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 (base 8) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - 1 - (0 - -121). Let i = 183 + s. Let k = i - 17. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -5194, -10220, -15246, -20272?\n\"Answer: -5026*m - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + -1 + (43 - -2). Suppose 0 = 5*m + w - 223. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.8622 + 2.8622. What is the smallest value in d, -2, 3\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2881884127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-38468)\/(-163))\/(4\/(-12)*6\/4). Is b >= -472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + -9. Let n be (-3 - 40\/z)*717. Suppose n = 4*a - 5*l, l - 79 + 200 = 2*a. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6434 + 15*f + 12869 - 6435.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*v**3 - 807*v**2 + 424*v**2 + 383*v**2.\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/4 + 77*d\/4 - 872.\nAnswer: (d - 32)*(d + 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 6*j**2 - 5*j + 13. Let x(z) = z**3 - 3*z**2 - 3*z + 7. Give -3*u(p) + 5*x(p).\nAnswer: 2*p**3 + 3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-6)\/(-12))\/1*(-32)\/(-168)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40*(-3)\/(-24)*2*248\/(-4278)*-23?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 426077698841 and 5?\nAnswer: 426077698836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 316052*m**2 - 316197*m**2 - 3 to q*m**2 + f*m + j and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28186 - 28114. Solve 2*h = -a*h - 148 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2\/7*s**5 + 0*s + 100\/7*s**4 - 1144\/7*s**3 + 0 - 2704\/7*s**2 = 0.\nAnswer: -2, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 446*l**3 - 221*l**3 - 224*l**3 + 39*l + (-3*l**2 + 2*l**3 + 3*l**2)*(4 - 2 - 3) - 4*l - l**3 + 4*l + 3*l**3 + 6*l**3 - 3*l**3.\nAnswer: 4*l**3 + 39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*o + o - 12*o - 12*o in the form i + u*o and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 18173.9 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ivacxxs. Give prob of sequence aisv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 13*d**3 - 9*d**2 + 18. Let y(o) = 7*o**3 - 5*o**2 + 9. Determine 6*f(n) - 11*y(n).\nAnswer: n**3 + n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11505 + 5?\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 33856 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**3 + 6*h - 2. Let j be g(4). Let a = j - -152. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/3, -2\/11, -0.7 in descending order.\nAnswer: 3, 1\/3, -2\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000029073 to 7 decimal places.\nAnswer: -0.0000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m + 0*m + 3*m)*(0*m + 0*m + m**3) - 23277*m**4 - 23892*m**4 - 19708*m**4 + 17533*m**4 as b*m**2 + h*m**3 + k*m + w + l*m**4 and give l.\nAnswer: -49345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l + 1818. What is the least common multiple of 197 and y(19)?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175344 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 607*l**2 + 4*l**3 + 6 - 245*l**2 - 362*l**2.\nAnswer: 4*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 3696.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 1\/794337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -204200 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*k - 2163 + 819. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -2\/47, 5, -5, -3?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -923 - -923.000000761. What is t rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 4. Let x be n(2). Is x + 48\/26 + (-224875)\/(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yybcsftbcctccyy. Give prob of picking 1 b and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 5*d - 15 = 0. Suppose -2*m = 3*i - 22, -11*m + 2*i = -16*m + 33. Solve -4*k - 5 = -m*v, -4*k + 3*v + 0 - d = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6404405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 (base 10) in base 13?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 13*l**2 + 20*l + 28. Let z be v(11). Solve -z = -50*k + 47*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)*432\/(-450)*-5 + -5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*o + 256 - 2987 + 265 + 557 - 3753.\nAnswer: -8*o - 5662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1047509, -4189847, -9427077, -16759199?\nAnswer: -26186213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, v: 2, n: 3, b: 7}. Give prob of sequence nnnb.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.52 * -36.17.\nAnswer: -18.8084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x. Let f(k) be the third derivative of 0*k**4 + 2\/15*k**5 + 0*k - 4*k**2 + 0 + 0*k**3. Calculate f(j(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 172*i - 1913. Calculate x(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/6 - 479*h**2\/6 - 6088*h\/3 + 6328\/3.\nAnswer: -(h - 1)*(h + 28)*(h + 452)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*x + 17*r - 13*r, -4*x = -r + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssaalallabsasls. What is prob of sequence blll?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-88) - (-12 + (-1310)\/(-110)). Which is the closest to 1\/2?  (a) 3  (b) v  (c) 0  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-3))\/(4700\/(-21432))?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31765*i**3*z**2 + 626*i**3*z + 2*i**2*z**2 - 780*i**2*z + i**2 + i*z**2 + 277*z - 1 wrt i.\nAnswer: -190590*z**2 + 3756*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pt when two letters picked without replacement from tuspo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16, 27, -0.53?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 3*a - 3, -2*v + 11 + 7 = 3*a. Solve 0 = a*m + 11 + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 3*l + 580, -l + 3*l + 600 = 4*h. Suppose 2*d + o - 221 = 0, -3*d - 6*o + 338 = -11*o. Calculate the greatest common divisor of h and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 7 = -5*p, -8 = -p - 3*j - 0*j. Let m be ((-200)\/80)\/(-1*-1*3). Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2. Let m(s) = -s + 0*s + 0*s. What is c(m(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 76756837 a multiple of 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -36. Suppose -3*n - 15 = -45. Let w = j - n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-1) - (-18)\/6. Suppose k*t = t. Which is smaller: t or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 83 and -0.274.\nAnswer: -22.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1000 + 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134431 (base 8) to base 13.\nAnswer: -18750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 0.128472.\nAnswer: -0.256944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 43411.71172 and -7.\nAnswer: 43404.71172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36\/(-32) + 16308\/2304 + -6. Let s be 4\/14 + 4\/(-14). Is t at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 + 51. Put -5, o, 88 in decreasing order.\nAnswer: 88, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 - a**2 - 2*a + 8. Let o be m(2). Let p(z) = 11*z**2 - 2*z - 23. Let h(w) = -4*w**2 + w + 8. Calculate o*h(s) - 3*p(s).\nAnswer: -s**2 - 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1391 and 297856.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13253 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, v: 3, z: 7}. Give prob of picking 2 i and 1 z.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -163*f - 139*f - 166*f to the form i + l*f and give l.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.1 - 0.9. Let z(t) = -t**3 + 18*t**2 - 34*t - 32. Let k be z(16). Let v = k + 69. What is the nearest to 3 in v, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 7:33 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1975 divided by -25.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2. Let q(a) = -a + 40. Calculate -4*d(i) - q(i).\nAnswer: i - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 39930414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5292*h**3 - 17461 wrt h.\nAnswer: -15876*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/96 and -1\/9350.\nAnswer: 448800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73.2 - -434.8. Let g = s + -508.287. What is g rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**2 + 4*a**2 + 14*a**2 + 14*a**2.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {t: 9, o: 11}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1054666609.\nAnswer: 239, 251, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, p: 1, s: 2, e: 2}. What is prob of picking 3 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*m + 934438 - 927442 = 0 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0754 minus -206.188?\nAnswer: 206.1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 760283936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 5*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 405\/88 or 5?\nAnswer: 405\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(19)*5*3.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25878135 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4438\/(-805) + (-5 - -11) - (-6)\/(-69). What is the third biggest value in -0.5, p, 1561?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of 5*r**3 - 11*r**2\/2 - 15. Find the second derivative of q(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 2*d**2 - 10*d + 23. Determine j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from ftwwwwtggewgfgwewwie.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 920 (base 14) in base 15?\nAnswer: 7e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-68)\/170*5)\/(20\/550*-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*c**2*i**3 + 4409362*c**2*i - 148013*c*i**3 + 61*c*i wrt c?\nAnswer: -8*i**3 + 8818724*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/227 and 67\/415864.\nAnswer: 415864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6710 and 22.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 12 - 6*l**2 - l**2 - 2*l**2 - 12*l. Is 10 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61 and 433.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/140*-45)\/(7\/44*(-1)\/(-7))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000728444 to 7 dps.\nAnswer: -0.0000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -671 = -37*t - 153. Calculate the remainder when 15\/2*84\/5 is divided by (t\/(56\/86))\/(1\/2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5040\/(-32)*(-370)\/777?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2776196 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiliiiiiiliiiii. Give prob of sequence iill.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -270  (b) -30  (c) -1  (d) 3\/4  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 7*r + 2. Suppose -3*c + c + 14 = 0. Let i be d(c). Let n be 1\/i*1\/(-3). Is 0 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 1 + 7 = 0. Let m be 2\/(12\/(4\/d)). Let v be 2\/(-5) + (-109)\/(-35) + -3. Which is the nearest to m?  (a) 3  (b) 3\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-2))\/(3\/(-10)). Suppose 10*v = n*v + 25. Suppose -82 = -4*i - 2*s, i - 2*s - v = 8. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5719626079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/4)\/((-3)\/6). Suppose 3*u = 3 + f. Suppose 3*c - 265 = -u*w, 2*w - 5*w + 3*c + 390 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11637 divided by -6.\nAnswer: 3879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49819 and 12782.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) - (-1*sqrt(17) + 4 + sqrt(17)) - sqrt(17)))*3)**2.\nAnswer: 72*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 3*w - 20771 + 20799 = 0, -2*s + 4*w = 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -10  (b) -3\/28  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 5 = 3*d, 4*q - 34 = -3*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -766112 divided by 89.\nAnswer: -8608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17054\/7 + -2436. What is the third biggest value in 2, 5\/4, i, 1\/3, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x - 7 = -52. Let c(q) = q**3 - q**2 + q. Let g be c(0). List the prime factors of g\/(6 - x) - -48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 320583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1166, 1169, 1168, 1163?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 - 30. Put 3, 2, z in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1181 * -172.28\nAnswer: -203462.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 243 divide 25029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*sqrt(11)*-3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 6*(5 + 5*(sqrt(76) + 2)*1) + -3)**2.\nAnswer: 11040*sqrt(19) + 76864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 6*d + 3. Let h = -13 - -8. Let l be w(h). Let p be 0 + ((-6)\/10 - 0). What is the second smallest value in 1, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(27) + -3 + -1)*-6)**2.\nAnswer: 3456*sqrt(3) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -1  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -924901*z**2 + z + 115091 wrt z?\nAnswer: -1849802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 1267 = 3*v, 57*v - 59*v = 2*h + 850. Let q = v - -551. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-25))\/(4\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = 24 + 56. Let h(q) = 77*q**2 + 11*q - 32. Is h(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/15 in -4, -18502, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3\/4)\/(r**(1\/25)*r)*(r*r**(-8))**19 assuming r is positive.\nAnswer: r**(-13479\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9644538 hours in minutes?\nAnswer: 57.867228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -492 divided by 6.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*g - 78*g**2 + 55*g**2 - 10*g**3 + 22*g**2 + 2*g in the form r*g**2 + n*g**3 + p + z*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.354 and 12936394?\nAnswer: 12936393.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -17 - 1 - (66 - 66) - 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20395*i**2*p**3 + 2*i**2*p*u**2 + 682*i*p**3*u + 38*i*u + i + 3*p**3*u**2 wrt i?\nAnswer: -40790*p**3 + 4*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 19*v. Let c(n) = 28*n. Suppose 0 = 4*z + 38 - 18. Give z*c(w) + 8*l(w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6183.203 centuries to years.\nAnswer: 618320.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 10*d - 5*d - 23, 3*d - 126 = -4*f. Suppose -5*y + 54 = -2*y. Calculate the remainder when f is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + -3)\/4*1. Solve x = 5*d + 8 - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 24 = -6. What are the prime factors of -2 - 1*(-1 - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*s**5\/2 + 8820*s**4 - 45324*s**3 - 507984*s**2 + 425880*s - 86400 = 0. What is s?\nAnswer: -240, -6, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**4\/4 + 1855*g**3 + g**2\/4 - 1855*g = 0. What is g?\nAnswer: -1, 0, 1, 7420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/1058 and 35\/16?\nAnswer: 8464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 18*n**2 - 7*n + 44. Let u be l(18). Is u at least as big as -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 8*q**3 - q**2 + 6*q + 9. Let l(t) = -t**3 - t - 1. What is -14*l(z) - 2*v(z)?\nAnswer: -2*z**3 + 2*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**2 + 2842 + 2826 - 6*g - 5650 + (-3*g**2 + 3*g - 3*g)*(4 + 3 - 5).\nAnswer: -8*g**2 - 6*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 13*k - 12. Let l be o(-12). Suppose l = -3*u + 4*u - 4. Suppose -u*p + 25 = 3*j, -4*j - 19 = -p - 8. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4047821 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, u: 1, j: 3}. What is prob of sequence ljl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-377496)\/(-11984))\/(11*9)?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2866 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148724, -594923, -1338580, -2379689, -3718244?\nAnswer: -5354239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 4:44 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d**2 - 3*d - 2. Determine i(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 5*f - 1331 + 1361, -5*f - 30 = -5*s. Solve -30 = 5*g - 4*z, s = -4*g + 6*z - 5*z - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148494 is divided by 79?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 53993 + 94498 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -169309748544229649.928599361 + 169309748696317869. Let h = w - 152088219. Let i = -0.0714 + h. Round i to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 296 - 19b187?\nAnswer: -19abc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/16)\/((-371)\/(-212)*(-4)\/14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38625?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125365 divided by 125365.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -415 + 769. Let x = -674 - -734. What is the remainder when l is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 + 2*o**2 + 6*o - 5. Calculate s(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.7, -2\/53, 0.3, -5, -1\/11, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 192 + -108. Let r = k - -71. What are the prime factors of r?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/5, 0, 0.5, -3\/7, 424, 42, 0.04?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 16 - -13) + -3 + 21\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 12*k - 1. Let a = -4 + 6. Let m(r) = 2*r - 1. Let h be m(a). Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 168 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*sqrt(119)*5)\/((-1*sqrt(77))\/sqrt(11)) + (sqrt(136)*-2 + sqrt(136))\/sqrt(2) + 1 + 1.\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 13*z + 172, 3*z - 971 + 929 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -g**2\/2 + g + 5. What is z(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 317045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qtnjqqqoffjqqtq. Give prob of picking 2 q and 1 o.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u - 10*u + 21189 = 3*s, 3*s - 21174 = -2*u. What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4.7007  (b) -4  (c) 0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + x. Suppose -12 = -70*m + 478. Let l(c) = -c**3 + c. What is m*l(k) - 6*a(k)?\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 0*f - 4*f**2 - f - 2 - 3. Let a(h) = h**2 + h - 1. Let v(b) = -8*b**2 - 6*b + 1. Let x(q) = -5*a(q) - v(q). What is -2*k(w) - 3*x(w)?\nAnswer: -w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 2*d - 136 = 0, -3*d + 111 = 5*s - 3*s. What is the lowest common multiple of s and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15562, -742, 4, 3 in decreasing order.\nAnswer: 15562, 4, 3, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*m - 23*m = 7. What is the hundreds digit of (577 + m)\/1 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 662, 171, -0.5, 2\/13?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -17*u**6\/120 + 11*u**3\/6 - 11*u**2. Find the first derivative of b(n) wrt n.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 182 - 171 - (24 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(912)*-4)\/(3*sqrt(3)*-5).\nAnswer: 16*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13)\/((-246)\/(-86) - 3). Let q = x - 93. Let d be 5 + (-8 - (-132)\/55). Which is the nearest to d?  (a) 3  (b) 2\/5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 57*c**2 - 59*c - 165. Give i(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + -2. Let z be (u\/8)\/(2\/(-8)). Let y(n) = 2 + 3*n - n - z*n + 1. Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -13*u - 12. Determine f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/3 + 23\/(1173\/(-442))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 47*s - 66. List the prime factors of l(7).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5300 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 + 0 = 16*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.3, -0.2, 4, -2\/3, -1051 in ascending order.\nAnswer: -1051, -5, -2\/3, -0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1939 + 1938. Let l = -0.3 - 0.2. Which is the closest to u?  (a) -4  (b) -2\/23  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**30*z*z**42*z**(2\/17)\/(z\/z**(-5\/12)) assuming z is positive.\nAnswer: z**(14627\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 19 - 7. Let p be 8\/(-6)*(-1)\/k. Let x(i) = -i + 8. Let r be x(6). Which is the second biggest value?  (a) p  (b) r  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39693 is divided by 1228.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 7*w**2 - 81*w - 574. Let y be z(-8). Solve -y*p = -4*i - 6*p, p = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1e94 (base 16) in base 6?\nAnswer: 100124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 29*l + 21. Suppose 3*u + 5*g - 6*g = -78, 102 = -4*u + 2*g. Is 15 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.07?  (a) 2\/19  (b) -0.7  (c) 0.1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31588 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 129*b - 13. Let j(n) = 52*n - 6. Let y(q) = 5*j(q) - 2*l(q). Let h(o) = o - 1. Let g = 3 + -2. Calculate g*y(s) - 5*h(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*f + 77*f + 147873 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/44 - (-184)\/(-44). Let i = l + 4. Suppose r - 3 = 0, 2*r - 15 = -3*n - i*r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2034999476 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -4*c + 32, -4*c = -1413*l + 2819*l - 1410*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9\/5  (b) -5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 7*r + 2. Let v be u(-7). Suppose 4*q = 2*o + q - 54, -50 = -v*o + 4*q. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61.8 + 61.99. Let j = -2799 + 2798.81064. Let w = j + v. What is w rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 0.4  (b) 0.01  (c) -7  (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((-4 - (-9 + -2 + 6)) + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + x + 16. Let g be i(0). Is 16 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 70*l**2 + 135*l + 62. Let w be f(68). Let v = -3.4 - -0.4. Let u = -0.7 - -0.2. What is the closest to -2 in w, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(17) + -1*((sqrt(17) - sqrt(17)*-2)**2 - sqrt(17)).\nAnswer: -152 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 7) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 - 63089820618004.\nAnswer: -63089820618003.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.338 - -0.338. Is r at most as big as 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.4 - 0.4. Let y be (1053\/(-1430))\/3 + 4\/20. Which is the nearest to y?  (a) q  (b) -0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 3*c**2 - 35*c - 13. Let s be k(8). Solve -9*f - 9 = -s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 15 = 0, -11*o + 13*o - 14 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -33 + -30003?\nAnswer: -30102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 477*v**2 - 6*v.\nAnswer: 3*v*(159*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 18 - ((-184)\/(-35))\/(-43 + 11033\/255)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 16386?\nAnswer: -114702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(17) + -1)*-3 + (sqrt(17) - sqrt(102)\/sqrt(6)) + -5 - (sqrt(816)*-3 - sqrt(51))\/((sqrt(105)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 54 - 21 - 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1099, -2357, -3793, -5395, -7151?\n\"Answer: 2*m**3 - 101*m**2 - 969*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 635277776 to the nearest integer?\nAnswer: 25205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63422 by -33.\nAnswer: 63422\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {f: 6, s: 2, h: 1, y: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3 = -2*i + 13, -3*p + i = -4. Let s(c) = 24*c. Let m(z) = -23*z. Let l(g) = -6*m(g) - 5*s(g). List the prime factors of l(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2699 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 2*p + 6. Suppose 2*i - p - 2 = 0. Suppose 26 = -i*n + 342. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -2) + 9\/(810\/(-288))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 807305?\nAnswer: 5, 161461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 467.3 - 443. Let f = w - 24.2. Let i be (-128)\/3 + 1\/(-3). Are f and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -15*y + 212. Let n be z(14). Which is the second smallest value?  (a) n  (b) -4\/5  (c) -4  (d) 0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 bigger than 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/5 in -5\/86, -4, 21.1?\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 720*u**2 + 737*u**2 - 270327 + 270324 - 1387*u**2.\nAnswer: 70*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -267 - -255.3. Let u = 85.3 - o. Let y = u - 97.0000388. What is y rounded to 6 dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c**2 - 122 + 0*c**2 + 123 + 3*c)*(0 - 5 + 0).\nAnswer: -25*c**2 - 15*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 27) + 113 - 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*c**6 - 1251*c**5 + 1241*c**2 - 10 wrt c.\nAnswer: 1440*c**3 - 75060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2*(-6*sqrt(11)*-5 + sqrt(11))**2.\nAnswer: -21146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p - 4. Let v = 7 - 2. Suppose 5*i = 30 + v. What is the highest common factor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, 206361\/2, -26, -3\/5?\nAnswer: 206361\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17743270.\nAnswer: 2, 5, 1774327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5218 + 2?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2. Let v(h) = 1 + 173*h**3 - 174*h**3 - 2*h**2 - 2*h**2 - h. Let w be v(0). Let a(x) = 2*x**2. Let t = 0 - -1. What is t*a(z) + w*d(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-247)\/(-855) - (-4)\/(-60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -19*a + 305. Let k(v) = 7*v - 102. Calculate -11*k(o) - 4*w(o).\nAnswer: -o - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -20*m + 3. Let q be j(0). Find d such that 7*d**2 - 8*d**3 - 6*d**q - 13*d**3 - 14*d**3 + 40*d**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in -0.3, -4, 18, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {w: 1, n: 1, h: 1, f: 2, q: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 17*m + 54. Calculate the greatest common divisor of m and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1100, 2581, 4932, 8153, 12244?\n\"Answer: 435*v**2 + 176*v + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.035111 * 4.\nAnswer: 8.140444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (100*p - 511 + 511)*(-2*p - p - 3*p) as w + m*p**2 + l*p and give m.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3150*d + 92571. What is u(-30)?\nAnswer: -1929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*v**2\/7 + 788*v\/7 - 88\/7 = 0 for v.\nAnswer: -22, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10232 (base 11) in base 16?\nAnswer: 3a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1258 - 800. Let a = t - 259. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 6 + 31, 224 = -2*y + 2*b. Let j = -55 - y. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10388329.\nAnswer: 7, 1484047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 37968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7987 and 627550?\nAnswer: 4392850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92598\/5 + -18631. Let u = 111 + r. Which is the closest to 0.1?  (a) u  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 536?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (i**2 - 3*i**2 + 0*i**2)*(4 - 5 - 1) + 2*i**2 - 2*i + 2*i + 2*i**2 - 5*i**2 + i**2 + (-11 + 11 + 15*i)*(1 - 1 - i) as w + k*i + z*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l**4 + 3 - l - 3*l**4 - 2*l**4 as m*l**3 + s*l + y*l**4 + d + o*l**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z**2 - 25*z**2 - 6*z + 17*z - 17*z**2.\nAnswer: -51*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/13)*o**(-19))**(-28\/5) assuming o is positive.\nAnswer: o**(6944\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 255831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -5*z - 183, 2*c + 33 = -3*z + 2*z. Let o = z - -43. Let i(f) = f + 5. Let g be i(0). Solve 4*a - a + d - 19 = 0, g*d = o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 9 + 0 - z + 1 + 2. Let f be m(10). Suppose 4*r = 5*r - f*t - 38, -4*t - 166 = -5*r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20080491 - -35890491. What is r rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7319890 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*o + 137 = -211. Let d(p) be the third derivative of p**4\/12 + 5*p**3\/3 - 3*p**2. What is d(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6096 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 5*m**2 + 5. Let j be f(-5). Suppose 3*o + 4*d = -0*o + 47, -3*o - j*d = -52. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1626799975659 - 0.06?\nAnswer: 1626799975658.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and 673.0927465?\nAnswer: 669.0927465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -5*i**3 - 5*i**2 + 28*i - 25. Give n(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (9 + (-4 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -76 + 16. Calculate the least common multiple of 10 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 7818 - 1626. Let y = -727 + h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**2 + 12*m + 2. Let w be h(2). Put 0, w, 4 in decreasing order.\nAnswer: w, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5655625?\nAnswer: 5, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -92977.307 - -88991.63. Let w = k - -3991. Let y = 5.3 - w. What is y rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 18  (b) 1\/820  (c) 0.9  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 3*k - 158, -4*k = f - 67 + 17. Suppose 0 = -5*z - 231 - f. Let a = z - -92. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -8*s**2 + 49*s + 227. Determine t(-5).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 1050, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -26, -26, -24, -20, -14?\n\"Answer: z**2 - 3*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + w = -w - 76, 23743*o + 4*w = 23744*o - 42 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nhk. Give prob of sequence hk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 1 - 7) + (-14 - -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2, 3, 12, 25, 42?\n\"Answer: 2*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -337, -382, -493, -676, -937, -1282, -1717, -2248?\n\"Answer: -u**3 - 27*u**2 + 43*u - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3186760 is divided by 2014?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -220 or -1530\/7?\nAnswer: -1530\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, u: 2, n: 6}. What is prob of sequence ua?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 4*r - 24*o + 27*o, -4*r - 4*o + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 3 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/2 - 564537*f**2 - 1129071*f\/2 + 1129073 = 0. What is f?\nAnswer: -1129073, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -322960899.1 from -1010.5.\nAnswer: 322959888.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 6*j + 5. Let f(u) = -u - 1. Let g = -238 - -249. Suppose 0 = -5*h + 5*d - 10*d, -4*h + 2*d = -12. Let v(i) = g*f(i) + h*k(i). Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 - -48. Let d = x - -9. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11772 - -2772. What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*g - 3*o - 56, -3*g + o = 52. Let j = -7 - g. Let y be (18\/(-4))\/(3 - j). Are y and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 8364270827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a**3 + 8*a**3 - 34*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 - -31. Suppose -4 + r = 3*j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -919*a - 100*a - 28532 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4629*g**2*p**3 - g**2*p - 11*g*p - 212*p + 2 wrt p.\nAnswer: 27774*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**3 - 3*m**2 + 3*m - 1. Let p be d(1). Which is the nearest to 6?  (a) 2\/17  (b) p  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (5 + 21) - ((-2 + -1 - 3) + 13)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 54931042 divided by 2?\nAnswer: 27465521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -1 - ((-21 - 6) + 26)) + 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of 74 - 119\/3*v**3 + 0*v + 76*v**2. What is the second derivative of y(s) wrt s?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 13) to base 10\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**47\/a)*a\/a**39)\/(a**33*a\/(a\/((a\/a**(1\/2))\/a*a)*a)))**(-1\/36) assuming a is positive.\nAnswer: a**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1734427 divided by 5?\nAnswer: -1734427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 357 + 371 = -4*w, 4*w + v + 35 = 0. Which is the third smallest value?  (a) 1\/4  (b) -0.4  (c) 7  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3, -4*o - 16 = -p + 2. Let u = p + -15. Are u and -9 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*r - 18. Let t = -12 + r. Factor 2\/3*q**3 - 2\/3*q**2 + 0 + 0*q - 2\/3*q**t + 2\/3*q**4.\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r**2 + 18*r + 19. What is the tens digit of u(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*z = -m + 34, -6*m + 4*z + 204 = 0. Solve -5*l - 3*f = 32, -4*l + 14 = f + m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 * -2611\nAnswer: 44387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -636, -1207, -1630, -1905, -2032, -2011?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5958866?\nAnswer: 2, 887, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - 24*g - 108. Determine u(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 5:03 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147*t**6 + 4*t**2 - 10*t.\nAnswer: 17640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1367 - 1305 - 295 + 391)*(0*c - 5*c + 3*c).\nAnswer: 5152*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 19597 divided by 19597\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 greater than or equal to -295096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of u**6\/360 - u**4\/3 + 2*u. Let h(w) be the third derivative of m(w). Let s(y) = 1 - 4*y - 1. Determine h(s(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 6. Let x(f) = 5 - 4*f - f**2 + 1 + 2*f**d. What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -1 - 2 - (3 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - 11*g**2 - 12*g - 1. List the prime factors of w(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 68*m - 62*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*2*(sqrt(156) + (-3*sqrt(156)*-3 + sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156)))\/(sqrt(300)*1*-6 + sqrt(300) + (2*sqrt(300) + sqrt(300))*4))**2.\nAnswer: 7488\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 4 = m, m + 2965 = b + 2999 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*u + 5*u + u + (-3 - 1 + 3)*(-u + 3 - 3) in the form t*u + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4.4*0.07\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/(-4))\/((-33)\/(-44)). Let k be (1\/u)\/(-1)*2. Let d(r) = -11*r**3 + r**2 - 1. What are the prime factors of d(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 39. Let s be g(12). Let m(o) = o + 14. Let y be m(-7). Let v(a) = -189*a + 4 + y*a**2 + 180*a + a**s - 2*a**3 + 1. What is v(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + c)*(0*c + 0*c + 2*c) + (2*c - c - 3*c)*(8227 - 8227 - 170*c).\nAnswer: 342*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 50 = -2*k. Let z be k + -11 + 199\/1. Suppose 0 = i - 4*i + z. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -13*o - 11. Let y be q(9). Let h = y - -150. Suppose -4*b + 3*l + 28 = -16, 2*b - h = 3*l. Calculate the least common multiple of b and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62238 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/157, -2.771, -0.1?\nAnswer: -2.771","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*l + 41*l - 20*l in the form p*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12627 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4360114 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 + 19. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*f - o + 15, -109 = -39*f + 83*f - 43*f - 4*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 468*p**2 + 233*p**2 + 225*p**2 - 2*p**3)*(-p + 0*p + 3*p)*(p - 16 + 16) + 0*p**4 + 2*p**5 + 0*p**4.\nAnswer: -2*p**5 - 20*p**4 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -5*s - 1. Let v be m(2). Let w(i) = i**3. Let z be w(1). List the prime factors of -3 - v - -2*z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5 = 0, -3*z + 4*m - 16 = 22. Let k(x) = -x**3 - 7*x**2 - 3*x + 1. What is k(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**8*q*q)\/q**9)\/((q\/q**(-1\/8))\/q**(-2\/7)) assuming q is positive.\nAnswer: q**(-23\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 344*y - 344*y + y**2 - 26*y**3 - 37*y**3 - y**2.\nAnswer: -63*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -5*n. Let j be i(1). Let t = 10 + j. Solve p - 3*g = -p - t, 5*p + g = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**6\/s*s*s**(4\/3)*s*s*s**(-2\/15)\/s*s\/(((s\/(s\/s**(-2\/13)))\/s)\/s))\/(s**7*s*s*s\/s**(-3)*(((s**(2\/3)\/s)\/s)\/s)**(2\/47)) assuming s is positive.\nAnswer: s**(-14177\/9165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10541161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**4 - 74*i**3\/3 - 18*i**2 - 351. Determine v so that r(v) = 0.\nAnswer: -18, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 81367461946\/3766763 + -8\/538109. Let v = 4082492\/189 - y. Let z = v - -28\/27. Which is the nearest to z?  (a) -0.3  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4679*f**2 - 14*f - 27. Let y(v) = -4678*v**2 + 16*v + 31. Give 8*a(q) + 7*y(q).\nAnswer: 4686*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2 + 223200*v - 6227280000.\nAnswer: -2*(v - 55800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-0.478.\nAnswer: -1.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -472*w + 485*w. What is the second biggest value in 1.7, w, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71655515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z. Let a(j) = 1. Let r(o) = o - 2. Let w(x) = 4*a(x) + 3*r(x). Let y(k) = -2*i(k) - w(k). Determine y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*r - r - 1 - 1 - 126*r**2 in the form n*r + j*r**2 + c and give j.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -84\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2891.14376 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17751*f**3 - 10499*f**2 wrt f?\nAnswer: -106506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**5\/7 + 160*d**4 - 79512*d**3\/7 + 22240*d**2 - 77284*d\/7.\nAnswer: -4*d*(d - 139)**2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 2*z**2 + 2. Let u be g(-2). Suppose -13 = -4*s + 3*c - 1, -5*s = u*c - 15. Solve o + s = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-6 - -10) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -146617 times 113\nAnswer: -16567721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = u - 10. Suppose -5*i + 5*m = 15, -m + 3*m - 3 = u*i. What is the remainder when 2 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567) + -4*(sqrt(567)*1 + sqrt(567)) - (5 + sqrt(567) + (sqrt(567) - (sqrt(567) + 1)) + sqrt(567)).\nAnswer: -81*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f\/f**(-1))*f)**(3\/41)\/(f*f**(1\/3))**(-2\/39) assuming f is positive.\nAnswer: f**(679\/4797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*m - 51, 3*z - 4*z = 4*m. Let s = z - -2. Let c = -6 - s. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -16 - 5*h**2 + h**2 + h**2. Let z(s) = 7*s**2 + 5*s**2 - 14*s**2. What is z(l(y))?\nAnswer: -18*y**4 - 192*y**2 - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 2:01 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 150464 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 62, 94, 170, 308, 526, 842, 1274?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.163 and 1892.\nAnswer: -308.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-70)\/119 + 960\/(-2992)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v*v*v**(-6)\/v)\/v*v**(-5))\/(v**(-1\/2)\/(((v*v\/(v\/(v*v\/v**(7\/5))))\/v)\/v)) assuming v is positive.\nAnswer: v**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001011011101001100011 - 1?\nAnswer: 11001011011101001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22.33 - 3.43. Let c = p + -18. Let r = 0.6 - c. Round r to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of w**6\/180 - w**5\/90 - w**4\/36 + w**3\/9 - 17*w**2\/2 + 29. Let h(q) be the second derivative of c(q). Factor h(r).\nAnswer: 2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 take away -19370586?\nAnswer: 19370593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 13. Let y be f + 7 + 2\/1. Solve 4 = y*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 0, 11065*v - 4*w - 5 = 11070*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**3 - 5*z**3 + 0*z**3 + (-8 + 5 + 8)*(2*z**3 + 0*z**3 - 3*z**3).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 320a6 (base 13) in base 2?\nAnswer: 10110000001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(459)*6)\/sqrt(3) - (-6*(0 + sqrt(17)) + 0 + -1 + sqrt(17))**2) + 4).\nAnswer: -2532 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 696*z**4 - 2*z - 1091.\nAnswer: 2784*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1211510 (base 6) in base 10?\nAnswer: -63906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 2 + 2 + (-2 - 2 + 5)*(a - 2*a + 0*a) + 596*a + 48000 - 48000)*(1 + 2 - 1)*(0 + 4 - 1).\nAnswer: 3558*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-4 + 5)\/(2*(-3)\/(-252)) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 18 = -9*j + 54. Let k(p) = -p**3 + 7*p**2 - 4*p - 13. What is k(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -469 (base 11) to base 3\nAnswer: -202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -9*l - 6, -4*l = -3*a + 17. What is the closest to 12\/11 in a, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 1159*z**7\/7 - z**5\/5 + z**3 - 765*z**2 - 6274. Find the third derivative of s(b) wrt b.\nAnswer: 139080*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8612964 divided by 6.\nAnswer: -1435494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i - 78 = -3*w, -3*w - 126*i + 242*i - 24 = 121*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-5) + 39\/15. Let x be 1*6*1\/(-3). Let t be (x\/k)\/(6\/(-99)). What is the greatest common divisor of 88 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2 + 4*y + 2. Let x(c) = -7*c**2 + 5. Let n(g) = -11*g**2 + 8. Let a(p) = 5*n(p) - 8*x(p). Give h(a(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 66137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -27206172 divided by -4452?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 106 + -105. Suppose 4*r = 9 + 27. Suppose 2*l - 13 = -l - c, -2*c - r = -l. Sort u, -2, l in decreasing order.\nAnswer: l, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12032897 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 664 a factor of 8849366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*x + 6732 + 29*x**2 - 6732 - 2*x**3 to b*x**3 + c*x**2 + g*x + j and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 9*j**5 - 30*j**4 + 9*j**3 + 36*j**2 - 12*j = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 4*p - 16 = 0, 0 = 2*k - 1701*p + 1698*p + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 117446262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y + 13. Let f be i(-11). Let a(j) = -4*j**2 + 12*j**2 - 2 + j**f - 3*j**2 - j**3 + j. Calculate a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 1376.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -2. Let k(w) = -3*w**2 + 93*w - 78. Let c be k(30). Sort r, 0, c.\nAnswer: r, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*k - 4*k**2 + 3*k**2 - k**2 - 2*k**2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = 5*m + 75, -1365 + 1642 = 8*m - 73*w for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {v: 2, u: 8, e: 3, m: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145*y = -141*y - 32. What is the remainder when -1 + -1 - (1 + -31) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, u: 2, i: 1, d: 1, y: 2}. Give prob of picking 1 u, 1 y, and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(0*n**2 - 3*n**2 - 2*n**2) + 5*n**2 - 2*n**2 + 0*n**2 to the form g*n**2 + o + m*n and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9579 divided by -103.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**7\/42 - k**6\/4 + k**5 - 25*k**4\/12 + 5*k**3\/2 - 12*k**2 - 1. Factor i(h).\nAnswer: 5*(h - 3)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 95*v**3 + v - 2. Suppose q - 4 = -3*q. What is the units digit of f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -258.314302 to zero dps.\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6128 and 832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 196660475 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) 0  (b) 5  (c) -3\/28  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1))**27)**(-1\/18) assuming k is positive.\nAnswer: k**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54418545 is divided by 388?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 9:16 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-9)\/n)**24\/(n**(-4)\/(n*n\/n**(-20))) assuming n is positive.\nAnswer: n**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 109\/2 - 54. Let s(y) be the second derivative of 1\/20*y**5 + 0*y**4 + 0 - y**2 + y - k*y**3. Suppose s(o) = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 246*w + 15131. Let m be i(-123). Factor 4*d + 1\/5*d**m - 21\/5.\nAnswer: (d - 1)*(d + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-6) + (-4855)\/60*-4. Let y = 333 - n. Solve 0 = 5*b + 4*c + c - 15, 2*b - y = 2*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 251 divided by -3110.\nAnswer: -251\/3110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 2\/5  (b) -1  (c) 1.385  (d) 2\/9  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1758 less than -0.113725?\nAnswer: -1758.113725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {w: 2, m: 1, l: 1, b: 2, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*k**2*m**2 + 2*k**2*m*y + 73*k*m**3*y - k*y**2 + 108*k + m**3 wrt y?\nAnswer: 2*k**2*m + 73*k*m**3 - 2*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(520) + -5*(sqrt(520) - -2*sqrt(520)))\/sqrt(10)*2)\/(sqrt(36)*4 - ((sqrt(4) + sqrt(4)*4*1 - sqrt(4)) + sqrt(4))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*z = 25*z + 9. Let c = -79 + 72. Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 3*i**2 + i. Let w(o) = 6*o**3 + 14*o**2 - 4*o + 1. Let h(x) = -11*r(x) - 2*w(x). Calculate h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 s, and 1 v when four letters picked without replacement from {v: 1, q: 4, s: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - (sqrt(39)\/sqrt(3) + 0 - sqrt(13))) + sqrt(13) + -2 + sqrt(52)\/sqrt(4))**2 + (2*2*sqrt(156))\/(2*sqrt(48)).\nAnswer: -11*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -47.2 + 47.2. What is the second biggest value in 4\/7, -1.4, 5, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 5*p + 10 - 0, 4*f + 18 = -p. What is the remainder when -4 - (1 + -50 + 8\/(-2)) is divided by -3 + (-1)\/(f\/64)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (-897)\/52) + -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 9 + 2 + -3)\/1. Suppose 2 = -o*a + 14. Suppose 0 = i - 3*d - 10, -i - 3*d = -0*d - 10. Solve -a*b = i, -5*m + 4*b + 18 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1073 and 18821?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84597 - 82654 - 27294 = -1204*t - 3541*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h + 2. Suppose 3*c + 3*w + 8 = 4*w, -c + 5*w + 16 = 0. Let s(r) = r**2 + 4*r + 5. Let a be s(c). Let y = 7 - a. Determine p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 11:31 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-9))**(-31) assuming i is positive.\nAnswer: i**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002216 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1\/3  (b) -0.9  (c) -218\/7  (d) 4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6540 and 836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a - 26. Let p be n(19). Suppose 0 = p*u - 10*u - 506. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(154)*-2*3)\/(3*sqrt(539)))\/(2*3*2*sqrt(700)*1).\nAnswer: -sqrt(2)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 19*l - 12. Give q(16).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 406826 (base 11) to base 13.\nAnswer: 19b401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -85*o**5 + 2*o**2 + 364*o + 4. Let n(w) = 170*w**5 - 5*w**2 - 729*w - 10. Let b(z) = -5*g(z) - 2*n(z). Find the second derivative of b(r) wrt r.\nAnswer: 1700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 511707\/2*y**2 + 150 + 12390*y.\nAnswer: 3*(413*y + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1383 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) 1\/3  (c) 0.37  (d) -2\/7653  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 30*f**4 - f - 21 - 7*f - 26*f**4 - 5*f. What is the first derivative of g(h) wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -298, 0.099, -0.4 in increasing order.\nAnswer: -298, -0.4, 0.099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2803 - 2132. Let z = 186 - 593. Let y = n + z. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1568, 3140, 4710, 6278?\n\"Answer: -v**2 + 1575*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - g + 2. Let t be (-1)\/(-3) + 20\/12. Suppose 31 = 5*m + 4*z, 2*m + 0*z - 14 = -t*z. What are the prime factors of h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 22*s - 40. Give k(-18).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/15*20\/6. Let u = b + -38\/45. Let y = 37 - 39. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 427669 + -36882. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -96 - -99. Suppose 3 = -y + n. Let j(u) = u**2 + u - 12. Determine j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**3 - 463*x**2 + 267*x + 7797. What is s(-232)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k + 10. Suppose -k*j + 5*v = -7320, -4*j + 0*v + 5859 = -v. Suppose -2*w - j = -7*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270246 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 110*l + 7. Let j be (-41 - -43) + (0 - -1). What is the tens digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 96278.\nAnswer: 1\/96278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 53154*w - 53057*w.\nAnswer: 97*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 733423841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -8  (b) 0.3  (c) 4  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**3\/3 + 78*i**2 - 2842*i + 99238\/3 = 0?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19953 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/4)\/(27\/(-18)). Suppose -2*j + 283 = f*g, 493 = 2*g + 3*g - 2*j. Suppose 0 = 4*s + 5*r - 120, 0*r + 2*r - g = -3*s. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 88\/14 + (-4)\/14. Suppose 3*t - 3*v + 2 + 1 = 0, -4*t + v + 8 = 0. Solve m*q + 3 = -t*p + 3*q, -5*p + 4*q - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, l: 6, u: 3, d: 3, c: 1}. What is prob of picking 1 d and 1 u?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - 22. What is the least common multiple of o and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468728.\nAnswer: 2, 13, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 138\/35 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2 and -35720388?\nAnswer: 35720386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4469825.\nAnswer: 5, 178793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 6 - 8 + 164*b - 6 - 157*b - 6*b**2. Let y = 60 + -67. Give f(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 1, 14, -107, 4345 in increasing order.\nAnswer: -107, -2, -1, 1, 14, 4345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 138983\/30 != 4633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*r - 2*s = 56, -3*r - s = -6*s + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 + 72\/(-16))*-10. Let f(m) = -m - 7. Calculate f(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/7*2\/((-4)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -10, -78, 3\/23, -5, 4?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q + 3*q + 2*q to p*q + g and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h - 5*d + 14 + 66, -12 = -4*d for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -545 + 7941*w + 545 - 6683*w**2 + 6681*w**2 in the form p*w**2 + a + l*w and give l.\nAnswer: 7941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -37 + 31 - (0 - 1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.06 - 0.94. Let r = l + 1.1. Let u = 0.25 + 0.05. Which is the closest to 0.1?  (a) r  (b) -3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 13, 21, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*b - b**2 + 3*b)*(-1 + 4 - 2) - 47*b - 20*b**2 + 47*b)*(-6*b + b + 0*b) as i*b**3 + k + d*b**2 + m*b and give i.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -43*u - 6. Let r(k) = 7*k + 1. Let o(x) = 6*r(x) + s(x). Let a(g) = 344*g. Give a(o(l)).\nAnswer: -344*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22286 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 816799131.\nAnswer: 3, 90755459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 5  (b) 3  (c) -4  (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/(-72)*(-3)\/2 + 328\/12. Solve 9*v + y = -9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25\/40 - (3 - -1 - 3). Which is the closest to p?  (a) -2  (b) -0.5  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 36. Let x(g) = -1. Let w(t) = t - 14. Let m(k) = w(k) - 2*x(k). Let b(d) = -8*m(d) - 3*z(d). Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 11*f - 10. What is c(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1313 + -12?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -85*f**3\/3 - 9*f**2 + 1429*f. What is the first derivative of x(j) wrt j?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-16)*h*h\/((h\/h**(2\/73))\/h) assuming h is positive.\nAnswer: h**(1389\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 518982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rvrvvvvrvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 595*y + 16944. Calculate k(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 58889 divided by -5\nAnswer: -58889\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28889, 57413, 85937, 114461, 142985?\nAnswer: 171509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4592.849 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -163040497, -163040501, -163040505?\n\"Answer: -4*w - 163040493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1432731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458060771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 352924561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1, 3 in increasing order.\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1316, 1297, 1252, 1169, 1036, 841?\n\"Answer: -2*s**3 - s**2 - 2*s + 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.84, -2\/17, -0.1, 1\/7.\nAnswer: -0.84, -2\/17, -0.1, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, g: 4, k: 1, r: 7}. What is prob of sequence dd?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + 16. Let p = m + -26. Let g be 1\/(-8) + p\/(-40). Solve v + g - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/5  (b) -76912  (c) 2  (d) -0.2  (e) -4  (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 19*h + 3744. Let z be h\/(-36) + 8*(-3)\/(-108). Let x(l) = -l**2 + 6*l - 8. Let r(k) = k. Determine z*r(u) - x(u).\nAnswer: u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9737.9720339 - -6.\nAnswer: 9743.9720339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 225177697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g, 1 l, and 1 f when four letters picked without replacement from {c: 3, f: 5, m: 2, l: 1, t: 7, g: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*b - 225*b = -64 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3431 - -4752. Is 1317 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3376451, -2, 0 in ascending order.\nAnswer: -2, 0, 1, 3376451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*r = -0*q + 2, -5*r = 2*q + 18. Let y = 56 + -277\/5. Which is the third biggest value?  (a) y  (b) -0.1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 112322554*n**3 + 52260611*n**2?\nAnswer: 673935324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/13 in 0.3, 4, 1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80755 is divided by 6645?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 97*y - 187*y + 93*y. What is the tens digit of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*c*y**3*z - 38*c*y**2*z - 2*c*y + 6*c*z - 23*y**3*z - y**3 wrt y.\nAnswer: -24*c*z - 138*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2\/3, -10.9, 0, 7, 11.\nAnswer: -10.9, -1, 0, 2\/3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 30 - -61?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) - (2*(sqrt(84) - sqrt(84)*1) - sqrt(84)))\/(-1*sqrt(588)))**2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -16. Let p(x) = x. Let l(k) = 162*k**2 + 54*k + 8. Let n(g) = c*l(g) - 36*p(g). Factor n(j).\nAnswer: -4*(9*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by 647769.\nAnswer: -7\/215923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2349454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 47 = 14. Suppose -4*h + 3*a + 2 = -2*h, -a = 4*h - 18. Let v = 0 + h. Solve 2 = i*k - v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 153 + -50. Let m be 15*1*(-8)\/(-24). Suppose 0 = -10*g + m*g + 90. Calculate the remainder when d is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 23*b + 33. Determine w(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241*h = -222*h - 2588503. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 57. What is the units digit of (-4)\/10 + s\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 24*f**3 - 447*f**2 - 169*f - 71. Determine y(19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((-2 + -3 - -1) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -331210 (base 4) to base 8.\nAnswer: -7544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -710055?\nAnswer: 1\/710055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -3  (c) -567  (d) 2\/7  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -374\/3  (b) 0.1  (c) 4  (d) -2  (e) 0  (f) -4.8  (g) -3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.083912.\nAnswer: 0.41956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -12  (b) 1\/759  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00044951 to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-12)*x**(-14)*x**(-8)\/(x\/(x\/(x*x*x**(-13)))) assuming x is positive.\nAnswer: x**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 2*h - 5*h)*(-2 + 0 + 0) + (-17 + 16 - 5)*(-3*h - h + 2*h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 3 = 2*u. Calculate the smallest common multiple of 18\/(-4)*u\/(-3) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + (-2 - -3) + 61 + -154 + 103?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5656149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 10*n + 30. Let a be 418\/66 + (-4)\/(-6) - 2. Let x be f(a). Solve -4*j + x*j - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/549351 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (55*v**4 - 1 + 123*v**3 - 118*v**4 + 61*v**4)*(-5*v + v + 2*v).\nAnswer: 4*v**5 - 246*v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5753*d**3 + 2723*d**2 + d - 39847746?\nAnswer: 17259*d**2 + 5446*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - x - 7, -i - i - 1 = -x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.636 and 180?\nAnswer: -114.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k. Let m(b) = 13*b - 4. Let d(h) = 27*h - 9. Let l(q) = -4*d(q) + 9*m(q). Let z(j) = j. Let i(n) = l(n) + 9*z(n). Determine i(t(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-16)\/(-6)*29*(-1365)\/(-10556)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) + (sqrt(85)*2*-5 + sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85) - sqrt(85))\/(sqrt(5) + -1*sqrt(20)) + 1.\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 96172051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124*-30.9.\nAnswer: 3831.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 384\/216*(-25155)\/(-1118)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 892508179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 24. Suppose -3 = 3*g - w, d*w - w + 1 = -2*g. Let j be (9\/6)\/(1\/(-2)). Put g, j, 3 in ascending order.\nAnswer: j, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/328 and 49\/4?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1233\/40 + -156\/5. Let l = -14.4 - -77.4. Let o = l + -63.5. Which is the third biggest value?  (a) g  (b) o  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 11) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of -y**5\/30 - y**4\/24 + 5*y**2\/2 - 2. Let n(s) be the second derivative of c(s). What is the second derivative of n(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2716 divided by 6.\nAnswer: -1358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 12:52 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1719697?\nAnswer: 7, 245671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*d - 95*d = 30. Let f be 3*((-14)\/(-6) + -1). Is d less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (14994\/1887 - ((-1 - -1) + (-40 - -47))).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12539 divided by -52176.\nAnswer: 12539\/52176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239*u + 241*u = -417*u + 174*u + 28920 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 22.9. Let v = -0.8 + t. What is the closest to v in 0.5, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 11*m - 2*x - 4*x - 18, -3*m - 29*x - 8 = -25*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -6  (b) 0.2  (c) 0.05  (d) -329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 3*q**6\/2 - q**2 + 11. What is the second derivative of h(i) wrt i?\nAnswer: 180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 12*h**2 + 12*h + 18. Let p be z(13). Solve -4*s = -p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*g - 936 = -2436 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 24*g. Let l(y) = -5*y. Let o = 928 - 939. Determine o*l(w) - 2*u(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.5, -5, 0.04 in increasing order.\nAnswer: -5, -0.5, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -1337\/713?\nAnswer: -1337\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-11 - -10 - (-1 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 1291, -0.06, 1\/3, 0.112?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -70*f**3 - 285*f**2 + 27*f + 264. What is r(-4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 314079264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158 = -2*s - 5*p, -129*s + 293 = -124*s - 9*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1414190531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bvbvvccbccbvcccc. Give prob of picking 1 v and 3 c.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 261697 is divided by 130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -d**6\/24 + 7*d**5\/4 - 6*d**4 - 9915. Factor r(s).\nAnswer: -s**3*(s - 32)*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 4*z + z)*(4 + 1 - 3) + 26 - 11*z - 26.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11241 and 99?\nAnswer: 123651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u**4 - 3*u**4 + 4*u**4 + (-5 + 5 + 3*u)*(-2*u**3 + u**3 + 4*u**3) to i*u**4 + s*u**3 + q*u + l*u**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -10050.\nAnswer: -2\/5025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -320, 0, -0.1 in increasing order.\nAnswer: -320, -2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51938531.\nAnswer: 23, 89, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26263 is divided by 13159?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010344 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*h + 18 = 0. Suppose -4*k + 1 = s, 3*s + 2*s - 2*k - 5 = 0. Calculate the remainder when h is divided by (0 + 1)*(1 + s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 224 = -8*c. Solve -5*d = -4*a - c, d + a - 1 = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 1532 = 220*o, -1457702*o + 9 = -3*r - 1457705*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3130924 by 46043.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s - 2*s + 0*s)*(0 + 17 + 12).\nAnswer: -145*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + a = 112. Solve -a = -5*t + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 + -35. Solve f + j = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1846003 + -0.3556076. Let p = v - -0.171. Round p to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/1018 and -83\/14.\nAnswer: 7126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26783 + 26854. Solve 767 = -p*s + 270 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 13*u**2. Let q(w) be the third derivative of -319*w**5\/30 + 2*w**2 - 229*w. Calculate -4*q(n) - 198*r(n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6891158?\nAnswer: 2, 83, 41513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vrhavwrwhvhhrhn. What is prob of sequence nra?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (458\/(-687))\/(-2 + (-41)\/(-21)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-17325)\/1980)\/(15\/(-1)))\/((-98)\/(-56)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-58)\/18 - (-4)\/18. Put 1, 3\/4, m in ascending order.\nAnswer: m, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**3\/11 - 24*h\/11 + 32\/11 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d - 24*d + 2919 = 0. Let o = 1678 - d. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -217 + 217. Suppose 3*h = -3*a + 63, -4*h + f*a + 5*a = -120. Calculate the lowest common multiple of h and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2266, 4511, 6736, 8941, 11126?\nAnswer: 13291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -451.\nAnswer: 6\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1167222157\/585 + -17992418\/9. Let w = a - -11720\/3. What is the common denominator of -4\/55 and w?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3*(sqrt(396) + -1))**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-1 + 8 + 3 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 12741, 12816, 12885, 12948?\n\"Answer: -3*i**2 + 84*i + 12660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 3:55 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, b: 2, h: 3, s: 1}. Give prob of sequence ob.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6896 and 435741.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100891 and 4773139.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (13\/405*-93 - -1) + (0 - -2). Let q = 0 + 0. Is p < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lgkkllllgkkkllkkkgk. What is prob of sequence ggkl?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 28 = -7*b. Are 14 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r - r**2 - 7273 + 5*r + 14*r + 7261. Let g be c(20). Suppose -2*u + 0*u = -h - 15, -2*u + 3*h + 13 = 0. Is u at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043638 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 9*x = 337813. Let k = x + -84259. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 896, 326, -65, -1 in decreasing order.\nAnswer: 896, 326, -1, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2. Let n(b) = -2*b + 13*b**2 - 16*b**2 + 0*b. What is n(r(t))?\nAnswer: -12*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + 3 + 1 - -13. Let d be (3\/6)\/(z\/24). Factor -8\/7*j**3 + d*j + 0*j**2 + 2\/7.\nAnswer: -2*(j - 1)*(2*j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5142923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (1056587\/441*6\/1)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 - -7c269?\nAnswer: 7c271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -5*f - 170, -2*f - 73 - 14 = 5*h. Let n be 45 - (-5 + 2 + 2). Let o = f + n. Solve -2*k = k - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/(-14) - 204\/(-51).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0045506 rounded to four decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(18)\/(sqrt(6) - sqrt(96)) + sqrt(3)) - ((-1 + sqrt(75))**2 + 3).\nAnswer: -79 + 23*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**5\/3 - 2*y**4\/3 + 2*y**2\/3 + y\/3.\nAnswer: -y*(y - 1)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/20)\/(6\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-6) - 0)*747\/(-166)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*d**3 - d**4 + 12*d**2 - 31*d**2 + 17*d**2 + 1 in the form c*d**2 + z*d + h*d**3 + o*d**4 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 439*p**3 + 1 + 320*p**3 - 2*p to h + d*p + k*p**3 + y*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(171) + (0 + sqrt(171) + 2 + sqrt(171))**2)*2 + sqrt(1539)*1*5 + ((sqrt(228)*1)\/sqrt(12) + -4)**2.\nAnswer: 91*sqrt(19) + 1403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**5 - 17*g**3 + 0*g**2 - g**3 - 6*g**2 + 22*g**3 + 6 - 12*g**3 + 7*g = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -306*j - 245434 = -320*j. What is the greatest common divisor of j and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)\/(sqrt(36)\/sqrt(4)))\/sqrt(4) - (-2 + sqrt(39)\/sqrt(3)*1)**2 - (4 + (-5*(-1 + sqrt(1053) + -1 + sqrt(1053) + sqrt(1053)))**2).\nAnswer: -237046 + 2705*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 2 - (1848\/(-77) - -12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 - 18 - 11)*(x + 2*x + x)*(29*x + 7 - 31*x - 4)*(-4*x**2 + 3*x**2 + 7*x**2) in the form i*x**3 + v*x**2 + h*x + d*x**4 + g and give d.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**1)**(-45)*((p**(-1\/7)\/p)\/p)\/(p*p**(1\/7)))**(-1\/35) assuming p is positive.\nAnswer: p**(338\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 195 = 5*d. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 214  (b) -2  (c) 0  (d) -1\/4  (e) -2\/35  (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t + t + 0*t)*((3 - 2 + 3)*(12*t - 8*t + 22*t) - t - 1 + 1).\nAnswer: -515*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*d**2 + 12*d**2 + d**2.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 352 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8672 + 4902. Let i = y + 37763\/10. Calculate the common denominator of -109\/22 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53182.\nAnswer: 2, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -23*l**2 + 26*l - 343. Let n(c) = -3*c + 2. Give y(n(p)).\nAnswer: -207*p**2 + 198*p - 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 88 + 44 = -4*v, x = 4*v + 42. Is 32 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 168 and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -11. Solve 5*o - 8 + 3 = 0, f*t = o - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/5)*n\/(n*n*n**(-2\/3))*((((n*n**(-1\/36))\/n*n)\/n)\/n*n)\/(n*n*n**15*n))**(-24) assuming n is positive.\nAnswer: n**(6538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5527277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -36, 0.4, -1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -531*c**3 + 5*c**2 - 3*c**2 + 4 - 3 - 3*c**2.\nAnswer: -531*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/5)\/(418\/76)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1706469, 3412943, 5119417, 6825891?\nAnswer: 8532365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4382?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 164.38*22\nAnswer: 3616.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 228493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1519 and 141953?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16038 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43 - -30. Suppose -4*o - 7*t + 2*t = -x, -3*t = -3*o + 21. Solve -5*f = o + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*s + 14 = -39, 20 = 5*s. Let i = -4 - k. Suppose -5*x + 26 = -5*y + 1, -4*y - 4*x = 4. Put y, i, 0 in increasing order.\nAnswer: y, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -78*u**4 + 9736598*u**3 - 11483964*u**2 - 14979224*u - 1997232 = 0.\nAnswer: -2\/3, -2\/13, 2, 124827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8009.241ml in litres?\nAnswer: 8.009241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 1, 0, -4, 4, -1176 in descending order.\nAnswer: 4, 1, 0, -4, -17, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-75)\/66 + 2\/(-4) and (-156)\/10*(-2)\/(48\/18).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 251\/4 + ((-51)\/4 - -12). Solve -l + 53 = t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2778163182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 298?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7517264 millimeters to meters.\nAnswer: 0.0007517264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 4*b + 1512 - 1492, -22*x = -4*b + 162 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 1310130645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9372 divided by -11?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (419731*i**2 - 209864*i**2 + 6123*i**3 - 209867*i**2)*(-5 - 5 + 7) to g*i**3 + h + j*i + n*i**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 1:04 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-6) - 92\/(-6). Suppose 19*n - c*n + 36 = 0. Let f = -9 - n. What is the highest common factor of f and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 take away -0.252335?\nAnswer: 0.952335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52 + (3 + (6 - 4))*(36 + 2)\/190.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = t - 139, -4*g - 4*t = 14 + 150. Let l be 1*g + -1 + 0. Let n = -4 - l. What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-34)\/68)\/(5\/70)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440 = -991*t + 947*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 3:56 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -4916.\nAnswer: 1\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1659 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7*1\/(28\/(-8)). Let p(i) = 7 + 4*i - 3 + 9*i**f - 3 + 6 - 10*i**2. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14761 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/7 + 13*l**2 - 1448*l\/7 - 220.\nAnswer: -(l - 70)*(l - 22)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 175 - 175. Solve x*c = -6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-5 + -7 + -3 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*n**2 - 9*n + 5*n**2 + n + 16*n to the form k*n**2 + u + w*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 31476616?\nAnswer: -31476613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - -2. Suppose -3*b + 7 = -z. Suppose b*j + 3 = 59. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**3\/5 + 4*b**2\/5 - 96*b + 1728\/5 = 0.\nAnswer: -18, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of l**2 + 4*l**2 - 74 + 52 + 2*l wrt l.\nAnswer: 10*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 0  (c) 2  (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -5*k**2 + 60*k - 55. Determine v(18).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 808*t - 877*t - 759 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -196 divided by -3.\nAnswer: 196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 56*h**2 + 7*h + 7. What is the hundreds digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15653 - 1120*d**2 - 15653 + 823*d**2 + 2*d**3 + 297*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1347?  (a) 0.1  (b) -89  (c) 2  (d) -1  (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**10)\/f)**(-13)*f**(-4)*f*f**32 assuming f is positive.\nAnswer: f**(-101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00510382 rounded to five decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 33079798.6 to the nearest one hundred thousand.\nAnswer: 33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**11*w**(4\/5))\/(w\/(w\/(w\/(w\/(w*w**2\/w))))*w*(w*w**(4\/5)*w*w)\/w) assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -2*l**5\/15 - 39862*l**4\/5 + 36542672*l**3\/15 + 222125936*l**2\/15 + 148721696*l\/5 + 59616224\/3 = 0.\nAnswer: -60097, -2, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 + 3.6. Let o = -3 + j. Let f = o - 1. What is the smallest value in f, 5, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -751 - 10441 = 740*c - 1572 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, c: 7}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -295*b**3*g*x**3 - 3*b**3*g*x + 551*b**3*g + 23*b**2*g*x - 32*b*x**3 - 69*g*x**3 + 12*g*x wrt b.\nAnswer: -1770*g*x**3 - 18*g*x + 3306*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.4, -0.03, 20, 1, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*b = -14. Let k(n) = 32*n + 2. Let l be k(1). Let z = l - b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 10.5. What is the nearest to n in 0.3, 2\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 2*y**4 - 35*y**3\/3 + 13*y**2 + 2*y. What is the remainder when v(9) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -259704*i*t**4 - 5*i*t**3 - 2*i*t**2 - 84*i*t - 14*i + t**3 - 845*t**2 + 2 wrt t?\nAnswer: -6232896*i*t - 30*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 2, -5*i + 2*u = 1975 - 7753. What is the common denominator of 4063\/i + (-1 - 3) and -19\/10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 16, 5, -24, -77, -160, -279?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13278 is divided by 823.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*a**3*h*s**2 - a**3*s - 2*a**2*s + 34*h*s**2 - 10*h*s wrt s.\nAnswer: 12*a**3*h + 68*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1547 + 297 = -10*h. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.7 - 21.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of 4*h**4 - 56*h**3\/3 - 55. What is the third derivative of y(u) wrt u?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -2*g**3\/33 - 63*g**2\/11 - 124*g\/11 + 257. Factor d(o).\nAnswer: -2*(o + 1)*(o + 62)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/5 - (-26)\/65. Find the third derivative of 13*q**2 + 4*q**u - 12*q**6 + 24*q**6 + q**2 wrt q.\nAnswer: 1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 424019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 18*r**2 + 3*r + 3. Let a(s) = -s**2 - s - 1. Let b(j) = 4*a(j) + z(j). Calculate the remainder when (-205)\/(-3) - (-28)\/42 is divided by b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001699522 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(-9 - 155\/(-15)). Which is the biggest value?  (a) 1\/6  (b) 4  (c) p  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2743*v + 2740*v - 2.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**6\/120 + g**5\/30 + g**4\/24 + 83*g**3\/6 + 37*g**2. List the prime factors of m(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 484 and 11415140.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 1. Let n(r) be the third derivative of r**4\/24 - 65*r**3\/6 - 3*r**2 - 12. Let z(m) = -2*i(m) + n(m). Differentiate z(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24\/(-88) - (-68121)\/33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57.0765807 + -0.0765317. Let n = 57 - j. Round n to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1613418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1731 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*y - 7*y - 2*y - 1082*y**2 + 15*y to s*y**2 + o + t*y and give s.\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2*y - 12 = 0, -2*p + 0*p + 5*y = -9. Find the common denominator of 59\/5 and ((-5)\/((-120)\/66))\/(1\/p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 12:28 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**5 + 244*p**4 + 204*p**3 - 2116*p**2 + 2624*p - 960 = 0.\nAnswer: -60, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/((-48)\/(-30) - (-32)\/80). Solve 0 = -2*p + x - 5, m*p + x = 3*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1\/4)*s)\/s*s**(-1))**(-2))**(8\/9) assuming s is positive.\nAnswer: s**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-8)*(v*v**(-6)*v)\/v)**(13\/4) assuming v is positive.\nAnswer: v**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105 - 125 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 193.0243 + -193. Which is bigger: -0.03 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/74)\/j)\/j*j*j*j**(-5\/9)\/j assuming j is positive.\nAnswer: j**(-379\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2103, -2015, -1771, -1293, -503?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9615 by -3205.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lgauqauluouquugoulll. What is prob of picking 2 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d**(-2\/11)\/d*d*d)*d\/(d*d**(1\/13)\/d))\/((d\/(d*(d\/(d*d**(3\/4)))\/d))\/d)**(4\/3) assuming d is positive.\nAnswer: d**(158\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + s + 52, y = 6*y - 3*s + 308. Is y greater than or equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**5 + c - c + 0*c**4 - 3*c**5 + 0*c**4 + (0*c**3 - c**3 - c**3)*(-2*c**2 - 4*c**2 + 4*c**2) + (-2*c + 2*c - c)*(2*c**4 - 4*c + 4*c).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-7 + 0 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f**(8\/5))*f*f**(3\/22)*f*f*(f*f\/(f*f\/(f\/(f**(-22)*f))))\/f*f*f*f*f**27 assuming f is positive.\nAnswer: f**(5779\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3*o**2 - 139*o + 1134. Calculate r(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014773792 take away -29?\nAnswer: 28.985226208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/(-8)*0)\/(14 - 16))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -113 + -110?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 2*r**2 + r + 3. Let j(a) = 5*a**3 + 8*a**2 - 5*a - 14. Let m(g) = 2*j(g) + 9*t(g). Let h = -5 - -3. Determine m(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-5 + (sqrt(405) - 2*sqrt(405)) + sqrt(405)*-2 + -3)*-2*-5*-5)**2.\nAnswer: 38880000*sqrt(5) + 333810000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + i**2 + 16*i - 9. Is 3 a factor of o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -49167*n - 4. Let g be 295\/(-25) - (-2)\/(-10). Let f be l(g). Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1374814 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1369*a - 22768 + 3569 = 1223*a - 2855*a for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -404\/6233 - 6\/271. What is the third biggest value in i, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 13. Let n(v) = 61*v**2 - v. Give r(n(c)).\nAnswer: 61*c**2 - c - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -172, -495, -818, -1141, -1464?\n\"Answer: -323*g + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -11*f - 68. Let m(g) = -5*g - 34. Let k(a) = 3*d(a) - 7*m(a). Does 17 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*d**3 - 9 + 28*d**3 - 2*d**2 + 6 + 4*d**2 in the form t + y*d**3 + w*d + b*d**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 78468319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -219 - -225. Suppose 3*k + 28 = 5*d, -k = -3*d - l*k + 10. Solve 19 = 4*m - f, -3*m - 2*m = d*f - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3 = k. Let x(q) = 2 - 2*q - k - q - 2*q**3 + 4*q**2. Suppose 4*y - y - 6 = 0. Determine x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -10*f**3 - 6*f**2 - 7*f + 8. Let n(z) = 10*z**3 + 5*z**2 + 6*z - 7. Calculate 5*k(a) + 6*n(a).\nAnswer: 10*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70\/51 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -11, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 41026066 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**3 + k**2 - k. Let q be g(1). Suppose -q*d = 5*a - 25, -5*a + 6 = -4. Solve 2 = 5*f + 2*b, -d*b = 2*f - 4*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -260?  (a) 2\/13  (b) 3\/10  (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -3. Let j be (3 - 2 - 23)\/1. What is the units digit of y\/(-2) + j\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 38649614 and 17572?\nAnswer: 77299228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -m**7\/42 - 5*m**3\/6 + 2*m**2 + 4. Let d(p) be the second derivative of j(p). What is the derivative of d(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2011, 16239, 54885, 130159, 254271?\nAnswer: 439431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70.65 + -0.65. Let c = -5824130.00026 + 5824060. Let n = c + q. Round n to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 3:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - 6 - (3 - -2). Let q(b) = 8*b**2 - 22*b - 29. Let w(t) = -12*t**2 + 33*t + 43. Let s(p) = -7*q(p) - 5*w(p). Is s(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 454535, -3, 0, 0.09 in increasing order.\nAnswer: -3, 0, 0.09, 454535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100194520.\nAnswer: 2, 5, 37, 67699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 608*j + 153 + 391*j - 278*j - 153 to the form d + q*j and give q.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 6615 divide 688575195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.01 and 1.232?\nAnswer: -0.01232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 387520 - 791520. Round z to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5162 or 118755\/23?\nAnswer: 118755\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-3))\/(8\/(-1380)). Let q = 132 + n. Suppose 244 = 4*g - 232. Calculate the greatest common factor of q and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -4*(sqrt(77) - (sqrt(77)*1 + sqrt(77) - sqrt(77))*-3)\/((sqrt(70) + sqrt(70)*-4)\/sqrt(10))*-6.\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 3*w - 18440006, -4609992 = -u + 3*w + w. Round u to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -15*d**2 + 220*d + 12. Calculate b(11).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 3\/296705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 2:14 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3835886 is divided by 348716.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of p**5\/12 - p**4\/12 - p**2 - 4*p. Let m(w) be the first derivative of s(w). What is the second derivative of m(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -1. Let i(b) = 0*b**2 + 5*b**2 + 2*b**2 + 0*b**2 + b. What is the units digit of i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 17491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 9. Let i be z(-5). What is the closest to 1 in i, 2\/5, -4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 9) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217*p + 220*p - 149806 = 2*u, 0 = 2*p + u - 99887. List the prime factors of p.\nAnswer: 2, 5, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1138403 * -2\nAnswer: -2276806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*k\/(k*k**(-2\/5)\/k*k)))**(11\/4) assuming k is positive.\nAnswer: k**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 3*s + 164, -q + 10 = 3*s - 16. Suppose -q*z = -34*z - 1216. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*w + 104*w - 54*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44407060 - -5?\nAnswer: 44407065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 9 + -3 - (-2 + 8) - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**2\/(h**(-3\/7)\/h*(h*h**(-3))\/h))\/((h\/(h**(-7)*h))\/h*h\/((h\/(h*(h\/(h\/(h**3*h)*h))\/h))\/h)*h*(h*h**(2\/5))\/((h*h**(-4))\/h)) assuming h is positive.\nAnswer: h**(-349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1003 - 714. Let f = j - 163. Suppose 2*w - f + 16 = 0. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -4*k - 162. Suppose 0*c - 4*g = -3*c + 221, -2*c + k = g. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2431830?\nAnswer: 2, 3, 5, 103, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -102200000 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 1 + -1 - 4 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**3 + 3*l - 3*l + (-2*l + l**2 + 2*l)*(0*l + 0*l - l) + l**2 - 3*l**3 - l**2 - 5*l**3 + 3*l**3 + 3*l**3 + (0 + 0 + 2*l)*(8*l**2 + 4*l**2 - 22*l**2).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1271 + -0.2371. What is the nearest to -0.1 in f, 1, -14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 3*c + 6 = 0, -15*z = -19*z - 5*c - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -130 + 170. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73 - -58. Let l be 208\/28 + h\/35. Suppose 11*q + 20 = l*q. Put -3, q, -4 in increasing order.\nAnswer: q, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*j**3*l - 5*j**3 + 232091*j**2*l - 2394398*j**2 - 3*l**3 wrt l.\nAnswer: 3*j**3 + 232091*j**2 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -288\/5 + 16\/5*w**2 - 24\/5*w + 2\/5*w**3 = 0?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -10 + 5 - (-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 442, 443, 444?\n\"Answer: l + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 AM and 5:27 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 12, 5*a + 5*g - 10*g = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 911043 by 43383.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 138 * -136.\nAnswer: -18768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 25 = 4*k + 51, 0 = k + 3*a + 33. Let v = k + 67. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39768 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, f: 4, d: 7}. What is prob of sequence fddz?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = a + 3. What is the second biggest value in 5, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 39070800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 5 = 5*n. Let u be -1*3 - (0 - 1). Let v = u + n. Solve -5*b + 15 = v*i, 28 = 5*i + 3*b + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 0, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.09434187 - -6.09433237. Let l = -5.88 - 0.12. Let q = n + l. What is q rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**5\/90 - q**3\/9 - 40*q**2. Find n, given that w(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/32?  (a) 2\/9  (b) 4  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.172, -3, -5, -0.005, 5?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -631 + b**2 + 1182 + 2166 + (0*b**2 + 0*b**2 + 2*b**2)*(5 + 1 - 4) + (2*b + 3 - 3)*(-3*b - b + 5*b) to the form r + y*b + u*b**2 and give r.\nAnswer: 2717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 10. Suppose y*z - 79 = -7. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 514 = -u, -p + 2*u = 4*u - 499. Let h be (-8)\/4 + 2 + p. Suppose -63 = -4*x + h. List the prime factors of x.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -27. Let p be (-15)\/(-4) - 0 - z. Let r = 2\/81 - 413\/324. Which is the biggest value?  (a) p  (b) r  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -193, -365, -519, -655, -773?\n\"Answer: 9*g**2 - 199*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9873383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**2\/2 - 36409145*o = 0 for o.\nAnswer: -72818290, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, p: 6}. Give prob of picking 4 g.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1472*u**2 + 539*u**2 + 1418*u**2 - 687*u**2 + 470*u**2 to b + j*u**2 + m*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/1 + (-5862)\/(-15). Let k = 390 - d. What is the common denominator of k and -8\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w - 91*w + 309 = -285 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-9 - -2 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -166*r**3*y*z + 2*r*y**2*z**2 - 6*y**2*z**2 - y**2*z - 11*y**2 wrt r?\nAnswer: -498*r**2*y*z + 2*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30525 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 - 14 - 15 - 12 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + (2 + -2 - 0). Let g = 3 - v. Let l = 35557\/9 - 3952. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/248 - (-1)\/(4\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -179 + 297. Let m = y - 70. Suppose 3*n = -3*p + m, -2*n - 2*n - 2*p + 58 = 0. Solve -b - k - 2 = 0, -5*k = 2*b - 0*k + n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-15)*0*(-2 - -1). Suppose i = 9*b - 66 - 150. Suppose 0*u = -2*j - 5*u + b, 2*j - 2*u = -4. Solve -4*m - 3*q = j, q = 5*m + 2*q + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (60\/50)\/((-4)\/(-10)). Suppose 0 = a + r + 1 - 9, -4*a - u*r + 28 = 0. Let c(b) = -2*b + 8. Let f be c(a). Sort f, 1, -5 in decreasing order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -687 - 44. Let s = 745 + a. Sort -2\/13, 0, s, -0.1.\nAnswer: -2\/13, -0.1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21622, -21620, -21618, -21616, -21614?\n\"Answer: 2*c - 21624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -183 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = n + 10, 10*n + 5*c + 65 = 5*n. List the prime factors of (n\/(-2))\/(18\/1998).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-164)\/(-480) + 0 + (-5)\/15. Let g(q) be the third derivative of 0*q**5 + 0*q**4 - 2\/3*q**3 + 0*q - u*q**6 + 0 - 4*q**2. Differentiate g(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**5 - 15*p**4 - 72*p**3 - 104*p**2 + 48*p + 144.\nAnswer: -(p - 1)*(p + 2)**2*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 102287 and 878.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -21. Let j(z) = -z**2 - 11*z - a + 1 - 2 + 0. Let h be j(-10). What is the greatest common divisor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-3*((sqrt(45) - (sqrt(405)*3)\/sqrt(9) - sqrt(45)) + sqrt(45)))\/((sqrt(180)*-5)\/sqrt(5)) + 1).\nAnswer: -3*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.9 + 8. What is the nearest to -2 in h, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2495, -866, 16, -2 in ascending order.\nAnswer: -2495, -866, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2289)\/(-105) + 1\/5. Suppose -5*l = 3*j - 33, -l - 5*j + 11 - q = 0. Solve p = -2*p + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 353*m + 3644. What is y(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -34*k - 3. Is b(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -16, -32, -52, -76, -104, -136, -172?\n\"Answer: -2*p**2 - 10*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -28*y**2 - 12411 + 12411. Let t(d) be the second derivative of d**3\/6 - 3*d. Determine h(t(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.368 + -51.132. What is c rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 9 = 3*t, 0 = -4*t + 29 - 17. Suppose -24 = -8*q + 3*q - 4*u, -3*q - u = -13. Let a be q + -14 - -1*2. Sort -2, a, k in increasing order.\nAnswer: a, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 12 = -0*n. Let w(v) be the third derivative of v**5\/60 - 7*v**4\/24 + v**3 + 30*v**2. Calculate w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*o - k, 3*k = 3*o - o + 2. Let y = o + 4. What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 909 = 243. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(-325)*5)\/((-1558)\/(-95))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 16*y. Let n(g) = -790*g**2 + 328*g + 5. Calculate t(n(l)).\nAnswer: -12640*l**2 + 5248*l + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*i + 820 = 255*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 26303*q - 26303*q - 7*q**2. Let a be 0 + -2 + (-8)\/(-2). Let s(f) = 5*f**2 - 4*f**a + f**2. Give s(h(v)).\nAnswer: 98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -5*m - 10. Suppose 3*z - 2*n = -4, 2*z + n - 2 + 7 = 0. Let j be l(z). Put 3, j, -5, -1 in ascending order.\nAnswer: -5, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 (base 6) in base 4?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -92 (base 15) to base 14\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**5\/25 - x**4\/20 + x**3\/15 + x**2\/10 + 15. Solve z(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5 - -7)*(4 + (-8 - -6)). Solve g - r*a = 23, -4*g = g + 4*a + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - sqrt(24)\/(sqrt(24)\/sqrt(2) + sqrt(12))) + ((sqrt(2) + 2)*-4)**2.\nAnswer: 129*sqrt(2)\/2 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9423.131ms to seconds.\nAnswer: 9.423131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -88416?\nAnswer: -1\/22104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9894 + 4954 = -25*k + 9035. Calculate the highest common factor of 301 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a (base 12) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -208*z**5 - 191*z?\nAnswer: -4160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3\/9*-9*(-21)\/9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 13. Let m be (0 + 40\/12)*3. Let q be f(m). Let h = 28 - q. Calculate the smallest common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 89, 2, -6\/65, -8, 0.1 in decreasing order.\nAnswer: 89, 2, 0.1, -6\/65, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -12. Let l = 172.7 + -172.9. What is the closest to 0.1 in x, -5\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 5 + 137. Let c = 51 + f. What is the remainder when 123 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2\/13, 0.594, 0.1, 7, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148597?\nAnswer: 17, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/3)\/((-1)\/3). Calculate the greatest common divisor of x and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -89 - -125. Let r be s\/(-10) - 9\/(-15). Let c(i) = -i**2 - 3*i - 3. Let h(b) = 0*b + b - 2*b - 1. Calculate r*h(f) + c(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -1. Let n = 3.2 - k. Let d = -0.19999 + n. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 126 - 4. Let l = 145.8 + -278. Let s = l + j. Round s to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 3*p + 0 - 1\/3*p**3 - 1\/2*p**2. What is u(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2543847, 5087693, 7631539, 10175385, 12719231, 15263077?\nAnswer: 17806923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 26*y**2 + 3. Let z be f(-26). Suppose o - 44 = 2*p, -z*p = 2*p - 25. What is the remainder when o is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45.99 - -6.99. Let t = 14 + g. Which is the smallest value?  (a) t  (b) 0.2  (c) -1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119 + 11*c + 904 - 82 - 9*c.\nAnswer: 2*c + 703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-6*(-24)\/(-504))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -52128027\nAnswer: 15638408.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 18 times 7744.24\nAnswer: 139396.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**3\/7 + 1536530*u**2\/7 - 44560996*u\/7 + 6146352 = 0. What is u?\nAnswer: -768294, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 72691 divided by 68\nAnswer: 72691\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/69 and 34\/75279.\nAnswer: 75279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d - 75 = 9*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011110010 (base 2) in base 12?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 354.8823 centuries to months.\nAnswer: 425858.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4605 + -4114. What is the remainder when l is divided by 464?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 375 a factor of 3601923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127*(-4)\/144 + 8\/32 and 853\/70 - 2\/7.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119\/119*9\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 - -19)\/(-45)*-3. Is -1\/432 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78342320 and 2786?\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4 = -3*y - 16, 2*y = i - 9. Suppose 3*p - i*t + 6 = 0, -2*p + 7*p - t - 6 = 0. Solve 12 = -q - p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 12 + 9)*(-3 + 8 + 6)*(-2 + 2 + 5*v**3) in the form l + h*v**2 + d*v + i*v**3 and give i.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 360532 and 551739.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26727 divided by 2?\nAnswer: 26727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*c = 336, -8*c + 13*c = -4*v + 258. What is the remainder when 299 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8656 divided by 1082?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3026357.\nAnswer: 17, 178021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**(4\/3))\/((m\/(m**(-2)*m)*m*m)\/m))\/((m**48\/m)\/((m**33*m)\/m)) assuming m is positive.\nAnswer: m**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - f - 46 = -26, 5*q + 3*f = -30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*d**3 - 117 + d + 41*d**3 + 25*d**3.\nAnswer: 110*d**3 + d - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, h: 2, u: 1, c: 7, m: 8}. What is prob of picking 2 h, 1 c, and 1 u?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-46 - 11557\/(-254))*(-568)\/(-2)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43204 + -4.\nAnswer: -43208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*-4*(-9)\/24 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.23 - -0.575. What is d rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ficffmimnmcbmn. What is prob of sequence ffm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 846314 and 1916594?\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 9) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*(((k*((k*k*k*k**0*k*k)\/k)\/k)\/k)\/k*k)\/k)*k)**42*(k\/(k*k\/(k*k*k\/(k*k*k**2\/k*k*k)*k)))\/k**(1\/4))**(-33))**(7\/2) assuming k is positive.\nAnswer: k**(40887\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3462 + 3467. Let l(f) = -3*f**3 - 10*f**2 + 7. Let u(g) = 4*g**3 + 11*g**2 - 8. What is t*u(j) + 6*l(j)?\nAnswer: 2*j**3 - 5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2208.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-8))\/(5\/(-40)). Let f(a) = -a**3 + 11*a**2 - 11*a + 11. Let i be f(h). Let c be -1 + i\/(-3) + 1. What is the second smallest value in 2, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = 3*w + 9. Suppose 17 = 4*a + 5. Let i be 4 - (-2 + 1 - -1). Solve -k = i*k + a*o, k + w*o = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 244, 2246, 7764, 18556, 36380, 62994?\n\"Answer: 293*q**3 - 49*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4562 * -0.1\nAnswer: -456.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -202927*c**3 - 4460*c + 4.\nAnswer: -1217562*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10719 - 21421\/2. Which is the biggest value?  (a) 5  (b) o  (c) -1\/9  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*x + 506*x - 251*x + 198*x = -23808 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-342)\/702 + (-1)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34 in -0.029, 0.4, -3\/5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2956 - 2900. What is the closest to 0 in 1\/4, 4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -124*m - 42. Let k be d(5). Let o = 968 + k. Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zda when three letters picked without replacement from daza?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 4*o + 2*o)*(o + 0*o + o)*(-2*o - 9*o + 4*o - 2*o + 2 - 2 + (2 + 2*o - 2)*(3 - 2 - 2) + 3*o - o - 4*o + o - 1 + 1 + o - o + o).\nAnswer: 66*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/10886 and -7\/34?\nAnswer: 185062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-3 + (sqrt(2299) - 2*sqrt(2299)) - sqrt(2299))**2 - (2 + sqrt(2299))*-6)*-3*3.\nAnswer: 1782*sqrt(19) + 82953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -21\/2. Let t = -1 + j. Let g(l) = -3*l + 10. Let r be g(4). Which is the closest to 0.3?  (a) t  (b) r  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 32787512, 32787514, 32787516?\n\"Answer: 2*p + 32787510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -5, -1882\/21, 4, 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11050046 is divided by 2035?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4526 by 5.\nAnswer: 4526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 1242*o + 7560.\nAnswer: -3*(o - 6)*(o + 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.45 and 154499.\nAnswer: 154499.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 1122.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 5*b + 20, -2*u - 2*b = -6*b - 12. Suppose -1 = -4*j + 4*v + 3, 5*j + 1 = -v. Suppose 40*f = 18*f + 88. Solve -u*z = -j*z + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31 + -33322323020?\nAnswer: -33322322323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 88256?  (a) -3  (b) 1  (c) -3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 413, 715, 921, 1049, 1117, 1143, 1145, 1141?\n\"Answer: 3*k**3 - 66*k**2 + 479*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5865?\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 18*p**2 - 2. Let i(u) = -19*u**2 + 3. Give -3*c(l) - 2*i(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -27.704 * 27\nAnswer: -748.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32378\/5 + 6476. Which is the biggest value?  (a) -7  (b) -2  (c) 2\/9  (d) -1  (e) x\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -473*k - 132*k - 32*k - 16*k - 948*k to the form n + u*k and give u.\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -240052, -240043, -240022, -239983, -239920, -239827, -239698?\n\"Answer: n**3 + 2*n - 240055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 473 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37050482869 plus -0.2812?\nAnswer: 37050482868.7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -650, -1270, -1894, -2522, -3154, -3790, -4430?\n\"Answer: -2*m**2 - 614*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2028 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 48273563 to the power of 1\/2, to the nearest integer?\nAnswer: 6948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 - 19*z**3 + 42*z**3.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/10 + 16\/(-10). Let o = 28\/15 + n. What is the closest to -1 in 5\/4, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -1.9. Let i = -42.5 - -43. Let l be 2\/(-5) - (-4)\/5. What is the third smallest value in l, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 2*d**2 - d + 498. Let m be (24 - 24)*1\/2. List the prime factors of i(m).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.9 - 0.1. Let o = -165\/7 - -23. Which is the nearest to -1\/7?  (a) 0.3  (b) o  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131*-2.58.\nAnswer: 337.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen sevenths of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -25. Suppose d*h = 2*h. Which is greater: h or -3\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1220)\/13420)\/((-2)\/((-44)\/(-10)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -73*q**2 + 96*q - 8. What is b(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7a0 (base 16) to base 12.\nAnswer: -1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000774134 rounded to seven decimal places?\nAnswer: 0.0000774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -779112\/5 < -155822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 376*g - 3860. What is q(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssjssjssssssssjjsjj. Give prob of picking 1 s and 1 j.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -r - 41, -4*j - 2*r + 17 + 13 = 0. Suppose 1280 = -d + 5*d. Suppose 0 = -5*g - 0*g + d. What is the greatest common factor of g and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + (1 - 1) - (-68)\/(-20). What is the nearest to o in -4, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + (-4)\/(-6))\/(46\/1035). List the prime factors of (-2)\/((-10)\/v) - (0 - 178).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1606642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 - 54.5. Suppose 8 = -3*y + y. Let o be (-3)\/(-4)*(-6 + 372\/54). What is the closest to -0.1 in y, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -12 + (-18)\/(-4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5249\/2168 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 10*d**2 + 6*d - 27. Let f be w(-9). Suppose -x + 0*x + 4*h = -11199988, -5*x - h + 56000003 = f. What is x rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201\/(79 + -12) + (-7 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**5 - 9209*n**4 + 467879*n**3 - 267947*n**2 - 1976382*n - 1231344 = 0.\nAnswer: -1, 8\/3, 51, 3018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-7))\/((-1)\/(-7)*-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.0752 * -41926\nAnswer: 3152.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 27 + 5. Let d = y - 6. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 7:06 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 30 - 44. What is the highest common factor of u and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44322196277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*r**2 + 2003 + 8*r - 13*r - 1976.\nAnswer: -124*r**2 - 5*r + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(27) + 3.\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -455414135 - -14?\nAnswer: -455414121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -10\/3029?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + -1 + 2)\/(-1). Let g = -180 + 179.932. Let m = 4.932 - g. What is the nearest to -0.3 in c, 0.4, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m**4 - 81650*m**3 + 335289720*m**2 - 15949114510*m + 174636946435 = 0. Calculate m.\nAnswer: 17, 31, 8141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 4*q**2 - 2*q - 3. What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 32, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 6:21 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-155)*(-10)\/(-30)*-6\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -22*o + 23*o. Let i = o - -7. Let x(f) = -21*f - 3 - 12*f + 32*f - i*f**2 + f**3. Calculate x(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -3408103849 take away 69.29?\nAnswer: -3408103918.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -166736 (base 9) to base 16\nAnswer: -193dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2742*j + 2686*j - 5430*j + 11*j**2 - 3 - 2*j**4 to the form h*j**2 + s*j + a*j**4 + t + m*j**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 482 divided by 1917\nAnswer: 482\/1917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 36.831969 seconds?\nAnswer: 0.0004262959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*q = -11609 + 2860, 2*c - 8739 = q. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*b + 4 = 84*b - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4*f**2. Let s(a) = 2928*a**2. Calculate s(c(n)).\nAnswer: 46848*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 4*w - 2. Let y(g) = -71*g - 12. Give 3*l(c) - y(c).\nAnswer: 83*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271*x**3 + 825*x**3 - 21*x - 273*x**3 - 280*x**3.\nAnswer: x**3 - 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -138.747 and 0.01272.\nAnswer: -138.73428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -10*w**2. Let n(x) = -107 - 98 + 303 - 5*x - 93. Calculate o(n(t)).\nAnswer: -250*t**2 + 500*t - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/2456700 and -27\/20.\nAnswer: 2456700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 188 - 158.4. Let t = d + -29.4. Which is the nearest to t?  (a) 1\/4  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -98597, -99236, -99861, -100466, -101045?\n\"Answer: k**3 + k**2 - 649*k - 97950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 47 - 4\/(-3 + -1). Suppose -2*f = 4*h - 150, 0 = h - 2*h - 4*f + n. Suppose -3*a = 0, -2*a = -4*r + 2*r + h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -5*t + 695, -t = 2*t + 2*r - 424. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24831664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 12*b**2 + 31*b + 5. What is y(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**5 - 2695*j**4 + 1111*j wrt j.\nAnswer: 20*j**3 - 32340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 - -0.56. Let n = o - -0.04. Which is the third smallest value?  (a) 4  (b) -1\/3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 5*z = 5, 3*u + u + 4*z = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*p - 5*w + 4136 = 0, -5*w = 10. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s. Let t(v) = -2193*v. What is t(d(k))?\nAnswer: -4386*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m + 0*m + 0*m)*(19044 - 10214 + 22654 + 1276 + 2551)*(0 - 6 + 2) in the form d*m + g and give d.\nAnswer: 141244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 2*u + 38 - 30, 4*u - 8 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 1. Let p(y) = 2*y**2 + 44*y - 246. Let u(w) = p(w) - 4*q(w). Find b such that u(b) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 11:33 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2012\/4883 - 160\/257. Let i = 2 - 5. Let y = 3 + i. Is v greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -1. Let a be (-1)\/(-2)*(15 + 3). Let w(b) = -b + 11. Let s be w(a). Solve x = -0*i + s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/1080)\/(31\/744).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -72.87  (b) -5  (c) 1\/35  (d) -0.5  (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gvgggvgvvvvvvvgg. What is prob of sequence gv?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*v = -90*v - s - 13, 0 = -5*v + s + 21. Solve v*q = l - 7, -5*q - 3 = -5*l - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -n + 1620. Let g = n - -25949\/16. What is the common denominator of (369\/574)\/((-106)\/(-126) + -1) and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 133017460 by -7060.\nAnswer: -18841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 + -13 - (66 - -38)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*4*(-5)\/10. Suppose 0 = -s*x - 27 - 1. Let u = x - -14. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -142162 (base 7) to base 16.\nAnswer: -6a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 0 + 35*x**4 - 2 + 17 wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -202, -519, -1014, -1699, -2586, -3687, -5014?\nAnswer: -6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 + 20. Let r be 8\/6 + g\/9. Put 5, r, 3 in increasing order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1368 + 2289. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -95252000 rounded to the nearest 1000000?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3620383816.\nAnswer: 2, 7, 23, 401551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 28*i - 1. Let t(l) = l - 1. Determine -o(g) - t(g).\nAnswer: -29*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.5644 take away -0.35?\nAnswer: -12.2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 41, 28, 15?\n\"Answer: -13*b + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (((-29)\/(-2))\/(-29))\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 4\/9. What is the smallest value in -3\/17, s, -0.03, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/(((-3952)\/390)\/(-38)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 9*u**3 + 6*u**2 - 6. Let a(i) = 26*i**3 + 17*i**2 - 17. Let o be -17*((-2)\/2)\/1. Give o*q(n) - 6*a(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99 is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -56*k**4 + 7*k**3\/3 + 1183*k**2 - 3950. Find the second derivative of d(u) wrt u.\nAnswer: -1344*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + p - 19. Let g be j(-6). Let l(q) = -2*q + 25. Let m be l(g). Suppose x + 1 = -m. Put x, -5, 6 in decreasing order.\nAnswer: 6, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 1001.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11576*s + 11599*s - 23174*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12986, -25958, -38930, -51902?\n\"Answer: -12972*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 331933897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/1287 and 19\/26026.\nAnswer: 234234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 16 = -3*y, 29*y - 28*a = 30*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 20*l. Let o(u) = 1173*u - 3*u**2 - 1173*u + 2*u**2. Determine w(o(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-177)\/(-6))\/(5\/10). Suppose -5*o = -d - k, 5 = 4*d + 21. What is the remainder when 153 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/5  (b) 6706\/23669  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:04 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*v**5 + 296*v**4\/7 + 18*v**3\/7 - 216*v**2\/7 - 8*v = 0. What is v?\nAnswer: -2\/3, -2\/7, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k*s**5 + 16*k*s**4 - 2*k*s**2 - 11*k*s - s wrt s.\nAnswer: -20*k*s**3 + 192*k*s**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -50.41  (b) 20  (c) 0.01  (d) 8  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5 = 7. Suppose 2*l - 5*c = -x*c + 5155, 5*l = 5*c + 12875. Round l to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 480053515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -17915 divided by 3583?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 2*z**2 + 4*z + 1. Let c be b(3). Suppose 15 = -c*m + m. Let t(n) = -n - 2. Let y be t(m). Put y, 1\/5, -1\/5 in ascending order.\nAnswer: -1\/5, 1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of j**8\/1680 - j**4\/12 + 2*j**3\/3 + 1. Let k(c) be the third derivative of r(c). What is the derivative of k(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qmmmmzzz. What is prob of picking 1 q and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12020 (base 5) to base 7.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 49*t**4 + 4*t**2 + 13*t + 4. Let o = 21 - 20. Let d(b) = 2*b**4 - b**2 - 1. Let p(z) = o*i(z) + 4*d(z). Find the second derivative of p(k) wrt k.\nAnswer: 684*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o*o**6\/o)\/o)**(9\/2) assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 7*h**4\/24 + h**3\/2 - h**2 - 1075*h - 1. Let j(m) = 2*m**2 + 2*m. Calculate j(s(k)).\nAnswer: 98*k**2 + 98*k + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*p + 31*p = 16. Let l be -58*(p + -3)*(-75)\/2. Suppose 1470 = 15*k - l. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 53*c - 317. What is n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-44)\/33*-9*3. Solve c - 11 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 4 = -5*a. Let l(c) = -3*c + 5. Let b be l(a). Solve -b*r + 4*r = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(630)\/(sqrt(10)*-2))\/(sqrt(72)\/(sqrt(32) + sqrt(8)) - sqrt(9) - sqrt(9)).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -3  (b) -1\/66  (c) 3  (d) 1\/3  (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, p: 2, e: 4}. What is prob of picking 1 d and 2 p?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37134 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 983477008 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 123 + -112. Suppose -z*l - 816 = -13*l. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 164*i + 3176*i + 110220 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*l - 101 - 699. Let g(m) = -2*m**3 + 2*m**2 - 2*m - 3. Let w be g(-2). What is the greatest common factor of l and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4530*w**2 - 8953*w**2 + 4609*w**2.\nAnswer: 186*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70*-175.7681.\nAnswer: -12303.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 5*c**2 + 233*c - 2394. Calculate s(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -217*v**5 + 225*v**2 wrt v.\nAnswer: -13020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15)\/3 - (-1047 - -1) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -46*b*c**2 + 3*b*c - b - 2*c**2 wrt c.\nAnswer: -92*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 68 = -a + 2*h, -68 = -a + h. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 5*k - 15 = 0, -2*k = 28*o - 25*o + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 27 = -3*a, -a + 10 - 1 = 2*z. Solve o - 20 = -a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -0.9. Let g(f) = -8*f**2 + 333*f + 479. Let k be g(43). Which is the second smallest value?  (a) k  (b) -2\/9  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -369646*k + 1 - 1 - 239433*k.\nAnswer: -609079*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -255 - -277. Suppose -j*y + 133 = -6005. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 37.4 and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 36*i**4 - 6*i**2 - 2*i. Let w(p) = -180*p**4 + 31*p**2 + 11*p. Let z(m) = -11*f(m) - 2*w(m). What is the third derivative of z(n) wrt n?\nAnswer: -864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of 161*o**4\/12 + 21*o**2\/2 + 2*o - 59. Let l(b) be the second derivative of x(b). Let s(u) = -u. Give s(l(n)).\nAnswer: -322*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4680, 15731, 28694, 39105, 42500?\nAnswer: 34415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 237000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 18 - 20 = -n, 0 = 5*f + 2*n + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 793003.3 decades to years.\nAnswer: 7930033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 0.2  (b) -1  (c) 37  (d) -1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 137 = -3*x, 2*x = t + x + 61. Let i be (-459)\/(-6) - (-1)\/2. What is the least common multiple of t\/(-11) + 14\/i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v + 1. Let g be s(1). Suppose -5*j + 209 = -g*m, 0*j - 2*j + 86 = -2*m. Let z = j - 23. What is the highest common factor of z and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -268*r**3 - 1607*r**2 - 2437*r - 56. Let i(m) = -m**3 + m**2 + 2*m - 2. Let w(g) = i(g) - o(g). Suppose w(x) = 0. What is x?\nAnswer: -3, -2\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 3*q - 11*q - 2*q**2)*(0*q**3 + 3*q**3 - 2*q**3) + (2 - 2 - 2*q**3)*(6*q**2 - 3*q**2 - 2*q**2).\nAnswer: -4*q**5 - 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -7354 > -16450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-87 - 0) + 8 + -15 + 0 + -2 + 7\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-56)*(3 - (0 - 155\/(-45))). Which is the closest to -1?  (a) 2\/7  (b) 47  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -4*k - 12, 4*b = -261*k + 255*k - 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 373 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 14 = -7*o. Suppose 5*s = -5 - 10. Sort o, s, 5 in decreasing order.\nAnswer: 5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171976172 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 138, -2249 in ascending order.\nAnswer: -2249, -4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*i**2 + 0*i**2 - 23*i**2 - 8*i**2.\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*15\/(-63)*42\/(-35).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-20) + 28\/10. Suppose -s*i + 7*i = 0. Suppose -g - g = i. Solve g = -0*h + 5*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 2 + 16. Let g be (8\/6)\/(6\/h). Let a = 29 + -29. Sort g, a, -4 in ascending order.\nAnswer: -4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from eeehhpeypcfceccc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = c - 23 - 0, 4*c = -5*x + 56. Suppose -4*a + 40 + x = 0. Suppose 0 = 5*j - 2 - a, -5*i = 3*j - 279. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + (-912 + -3)\/(-3). Suppose 0 = -356*r + 351*r + t. What is the highest common divisor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 49 = 2*i. Suppose -5*v + 2*z = 17, -3*z - 58 + 21 = 5*v. What is the remainder when (-6)\/15 - 677\/v is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2178.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -979 - -10776\/11. Let m = w - 71\/77. What is the nearest to -2 in m, 0, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {c: 1, r: 1, e: 1, a: 2, y: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -29 + 299. Suppose -2*u + 4*u - a = 0. Let f(h) = -h + 14. What is the remainder when u is divided by f(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 - -152)*(-5 + 138\/12). Let h = a - 870. Solve -h = -t - 84 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -528 - -527.8. Which is the nearest to -0.1?  (a) -2\/7  (b) -3  (c) 0.3  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23506\/617872 + (-3)\/24?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34044605 by 972703.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 713, 2850, 6411, 11396, 17805, 25638, 34895?\n\"Answer: 712*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9913, -9914, -9915, -9916, -9917, -9918?\nAnswer: -9919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3456 and 208224?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 559.6\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18197 - 18180. Let n(x) = 8*x**2 + 9*x + 4. Let z(i) = 23*i**2 + 26*i + 11. Give c*n(o) - 6*z(o).\nAnswer: -2*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -57\/131, 0.3, 82?\nAnswer: -57\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/(-105) - 6\/150*15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 153 - 156 = 0. Suppose v = 5*f - 21, 15*f - 20*f + t*v = -13. Solve 0 = 4*i + i - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8506*i + 151*i - 83514 = 5564*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-536)\/(-402)*(-10)\/4*36\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (276*k + 1 + 160*k + 213*k)*(2*k + 1 + 3 + 2) in the form n*k + g + f*k**2 and give n.\nAnswer: 3896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 11*k - 7*k)*((-1 + 2 - 2)*(-2*k + 0*k + k) - 4*k + 5*k + k).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 2*c - 2673, l - 2*c + 4*c = 533. Suppose -u + l = 2*q, 2*q - 3 = 3*q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.4, -7\/5, -30, 3\/4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 264917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 - 9. Suppose 73 = r - 4*d - 7, -2*d - 300 = -3*r. Calculate the highest common factor of a and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-63)\/(-36))\/(2\/8*1). Let y(q) = 6 - 186*q - 187*q + 369*q. Let u(j) = 9*j - 13. Determine v*y(p) + 3*u(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-1)\/21*-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**3 - 66*a**2 - 105*a - 45. Let p be y(18). What is the highest common factor of p and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165091 = 5*h - 4*z, -2*h + 22*z - 18*z = -66022. What are the prime factors of h?\nAnswer: 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6719789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times -0.32747809?\nAnswer: -0.0065495618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37 - (-27 + 4 + 3)) + -39?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 9*w**2 + 31. Suppose 3*g = -7*g + 80. List the prime factors of i(g).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 6 = 0, -712 = -w - 8*q + 4*q. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*m + 1164 = 924 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 12*t**2 - 14*t - 13. Give s(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + v - 5. Let n be k(4). Suppose 4*p + p - n = 0. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 20 = 0, -24 = 4*i - 9*i - y. Suppose -4*b + 40 = i*b. Find the third derivative of -33*s**2 - 21*s**5 - 4*s**4 + 4*s**4 + 14*s**b wrt s.\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/(-20)*6*-2. Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 + 22 = -4*u. Let j be (-4)\/14 + 32\/u. What is the units digit of -4 + j + 1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -249\/716 + -72\/179. Let n = 0.7 - 0.4. Sort 7\/4, n, y in descending order.\nAnswer: 7\/4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3*a - 11, 0 = -4*j + j - 2*a. Let c(o) = 33*o - 4*o**j - 36*o + 3*o**2 - 2. What is c(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -11 - 563*y**2 + y - y**3 + 563*y**2. Give a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16.332 - -12.332. Let s = 0.03 + 4.97. What is the closest to s in w, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9212, -17994, -26776, -35558?\n\"Answer: -8782*a - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (45\/(-9) - -3)*(0 + -1). Suppose y*w = 4*b + 2, -2*w + 0*b + b = 1. Let g = w + 28. Calculate the highest common divisor of g and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 4) + (-2 - (4 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 51438648 or 51438649?\nAnswer: 51438649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (n - 4*n + 5*n)*(-n + 4*n + 2*n)*(-52*n**2 + 643 - 643) in the form f*n**4 + d*n**3 + y + t*n**2 + a*n and give f.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (2 + sqrt(3))**2)*-3.\nAnswer: -12*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.79 minus -0.78?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2150222 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 3*a + 1. Let v be 3 + 2 - -3*4\/(-6). Calculate w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(1\/3))**(-1))**(1\/16))**(1\/58) assuming z is positive.\nAnswer: z**(-1\/2784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from empze. Give prob of picking 1 z and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 8*o - 5. Let c be a(7). Suppose 5*s - h - 210 = 0, -3*s + 0*s + c*h + 126 = 0. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 9:45 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -396 (base 11) in base 7?\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -h. Let k = 3 + h. Solve 5*g = 2*t + 30, -k*t + g - 6*g = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1762578 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.644509ml?\nAnswer: 0.008644509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(-24*v**4 - 2366*v + 8*v**4 - v**2 + 2370*v).\nAnswer: 16*v**4 + v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 113160*c**2 - 312760*c wrt c?\nAnswer: 226320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2135 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1232527401*h**4 + 61672*h - 522 wrt h.\nAnswer: -14790328812*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(7\/4)*(v\/v**(8\/7))\/v*(v*v**(-3)\/v*v)\/v*v**(-1\/4) assuming v is positive.\nAnswer: v**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -8, 1.\nAnswer: -12, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -39. Suppose -4*r - 5*h = -r - 37, 11 = 4*r - h. What is the units digit of (r + g\/(-9))*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12633?\nAnswer: 3, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17983, 33404, 48825?\n\"Answer: 15421*r + 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - (((-4 - -2)*-2 - 9951) + -6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*y + 2*y + 3 - 32*y**3 + 10*y**3 + 0*y - y**2 - y**2 to the form u + a*y**2 + o*y + h*y**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 2*r**2 - r + 86. What are the prime factors of j(-13)?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1006 - -34?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 - 616168*p - 56704384.\nAnswer: 2*(p - 308176)*(p + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - t - 73. Let r be m(9). Let k be 6 + 10\/26*(r + -15). Sort -3, k, 2, -13 in descending order.\nAnswer: 2, k, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 2*z**3\/21 - 4*z**2\/7 + 8*z\/7 - 15. Factor l(f).\nAnswer: 2*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/(-20) - (-3)\/(-45)*-2 and ((-142)\/40 - -3)*7\/42?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-77)\/21 + -4)*-1*3. Solve 2*f + 3*s = -a, 5*f - 2*s + 10 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32080 + 536*n + 32080)*(3*n**4 + 0*n**4 - n**4).\nAnswer: 1072*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10335 and 30615.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from iaeaieazrorreeaiaee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c + 0 + 0 + (0 + 0 + c)*(-3 + 3 + 1) - 56 + 8*c + 56 + (-5 + 1 + 5)*(c + 4*c - 4*c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_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 h = 15.98 + -16. Let l = 61\/355 - -2\/71. What is the nearest to h in -2\/13, l, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-87*z + 31*z + 43*z)*(1 + 0 + 4)*(-6 - 1 + 1).\nAnswer: 390*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**3 - 2*u - 1179 + 7*u**4 + 3*u + 0*u**4 + 1174 to the form h*u + p + b*u**4 + v*u**3 + d*u**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2 = 2. Let f(k) be the first derivative of -7*k**2\/2 + 11*k + 230880. Give f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 2\/5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 97*g - 956*g + 369*g as i + s*g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y - 2*z + 118, -4*z + 108 = 4*y. Solve 2*p = 4*w + 26, y = 4*p - 2*w - 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -425\/7 equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/m**(-9\/4)*m)\/(m*m\/(m\/(m\/(m\/(m*m**(-8\/11)))))) assuming m is positive.\nAnswer: m**(219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 21*n**2 + 29*n + 1. Let z(u) = -u + 1. Let r(d) = -s(d) - 6*z(d). Let q be r(-22). Is q\/9 + -2 - (-7304)\/33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 98c988 (base 13) to base 8.\nAnswer: 15563452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*n - 9 + 6*n**4 + 4*n + 4*n wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 at least 15045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 13*m - 8. Let w be f(-12). Suppose o = w*o - 6. Solve -14\/5*a**4 + 0 + 4\/5*a**2 - o*a**3 + 0*a = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 722 and 721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -70 and -7.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 11*f**2 + 3*f - 29. Calculate n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 6:43 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4.88, -1, 0, 1, 3447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*v + 13541 = 182*v + 175*v + 25441 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 145 = 3*t, 47543*t - 47539*t - 5*k = -158 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-92*j + 716 - 716)*(2 - 2*j - 2 + j - 3*j + j + (-1 + 1 + 2*j)*(2 - 2 + 2) - 5 - 2*j + 5) in the form m*j**2 + z*j + v and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 75913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by ((-57)\/4)\/((-30)\/80)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h*l**2*u**2 - 3*h*l**2*u*w**2 + 2*h*l*u**2*w + 4*h*l + 2*h*u**2*w - l*u**2*w**2 wrt l.\nAnswer: -4*h*u**2 - 6*h*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1235 + -8?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 + 17. Sort d, 1, 11 in descending order.\nAnswer: 11, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 14*s**2 + 11*s + 27. Let m be d(-11). Suppose -4*h + 807 = -h. Let q(c) = 2*c**2 + h - m. Let o(r) = -2*r. Give q(o(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from kkkkkdkkkkbdikki.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -96 - (-16 - -12) - -59\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4126 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -407, -406, -405?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*d - 1187, 3*r + 0*r = 3*d - 717. Let v = d - 94. Does 48 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, u: 1, f: 2, h: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -426.8 + 427. Which is bigger: 85 or m?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3*o**2 - 8*o + 5. Let d be m(7). Let w(g) = -10*g - 32. Let r be w(-4). Suppose 0*j - r*j + 96 = 0. What is the highest common divisor of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1781.6 - -37.4. Let b = 1826.27 - q. Round b to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 69, -312, -6 in descending order.\nAnswer: 69, -3, -6, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -7*p**2 - 5*p. Let f(j) = -8*j**2 - 6*j. Calculate 6*f(q) - 7*l(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 18.99584. What is l rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1410487537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 129870 divided by -12987\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 853114181.\nAnswer: 853114181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/2  (b) 0.1  (c) -0.4  (d) 1873  (e) 0  (f) 2\/3  (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 11:33 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 1 + 5 - v + 2*v**2 - 6 - 1. Let f be n(2). Solve 0 = -r - 2*y - 3 + f, y + 17 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406427966 to the power of 1\/3, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/(v\/(v\/v**(-3\/2))))*v\/v**(14\/5) assuming v is positive.\nAnswer: v**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, k: 1, s: 2, f: 1, o: 6, d: 7}. What is prob of picking 2 d and 1 s?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 2202110?\nAnswer: 2202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 8*i**2 - 7*i - 10. Let m(n) = 2*n**3 - 8*n**2 - 8*n - 10. Let p(w) = 2*m(w) - 3*z(w). Calculate the remainder when 70 is divided by p(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 5*z + 1. Let s be x(-1). Let t = -573\/1981 + 1\/283. Which is the closest to t?  (a) -1  (b) -2\/17  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*8\/(-12))\/5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23 or 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.7, -0.3, 0.04, 0.5 in decreasing order.\nAnswer: 0.5, 0.04, -0.3, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from voooyyoyzv. Give prob of picking 1 v, 1 o, and 2 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.5, -4, -0.15, -4443?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.093 - 60.907. Let r = -60.9899 - g. Round r to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5\/5 + 14030*g**4 + 33444978*g**3\/5 + 3959581274*g**2\/5 - 33444976*g\/5 - 3959651424\/5 = 0. Calculate g.\nAnswer: -236, -1, 1, 35547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -181, 4.\nAnswer: -181, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 52*c. Let b(f) = -833*f. What is -6*b(w) - 98*k(w)?\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 99277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 6*a**2 + 4. Let y(v) = -5*v**2 - 5. Determine 3*j(w) + 2*y(w).\nAnswer: 8*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1975040 divided by -395008.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2839 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-29)\/(((-384)\/20)\/2) - 3. Let w(g) be the second derivative of l*g**4 + 0 + g - 1\/8*g**3 + 1\/4*g**2. Factor w(v).\nAnswer: (v - 2)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/2*240\/15. Suppose -p - 2*a = -4 - h, -20 = -2*p - 3*a. Suppose 4 = s + 4*f + f, -f = -4*s + 16. Solve 0 = -n - 3*w + 15 - p, n - s*w = -24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0111 * 0.0522\nAnswer: 0.00057942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 765 - 3765. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0 + 5*i)*(484 + 277 + 244).\nAnswer: 5025*i - 1005","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 568456?\nAnswer: 2, 7, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*v - 18*v - 4549 + 875 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1)**48*(o*(o\/(o\/(o*o**5\/o*o)))\/o)\/o*o\/(o**(-1)*o)*(o**3*o**(2\/9))**17 assuming o is positive.\nAnswer: o**(979\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/10)\/(33\/(-3)*(-12)\/44).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -3\/4084 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 56 - 232 = 0. Let l be (q\/54)\/((-4)\/6). Suppose 5*m - l*d - 284 = 0, -m + 68 = d + d. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by 24740436\nAnswer: -5\/6185109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 85702290 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43406 is divided by 1734?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 10. Suppose 0 = r - o*r + 4. Sort r, 9, -3 in increasing order.\nAnswer: r, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of 5\/36*t**3 + 1\/72*t**4 + 0*t**2 + 21*t + 0. Factor l(f).\nAnswer: f*(f + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/(-3))\/((-2)\/18))\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -14, 5, 22, 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1, 29, 57, 85, 113?\n\"Answer: 28*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**3 + 19 - 1\/18*l**4 - 14\/3*l**2 + l. Factor s(y).\nAnswer: -2*(y - 7)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j*(j**(2\/5)*j*j)\/j*j)\/j)**(-29))**44 assuming j is positive.\nAnswer: j**(-28072\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23163986*d**3*u**3 + d**2*u**3 - 27*d**2*u**2 - 4*d*u + 11327*u**2 wrt d.\nAnswer: -138983916*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 4*d = -10, 0 = -3*b - 2*d + 5 - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sos when three letters picked without replacement from psops.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 - 8\/12*(-2 + -4). Let n(b) be the second derivative of 0*b**2 + 0 - 16*b + p*b**3 - 1\/3*b**4. Let d(f) = 10*f. Give d(n(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7712*n**3 + 7 - 7 - 2013*n**3.\nAnswer: 5699*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 8*y - 16. Let q(z) = 2*z**2 - 6*z - 4. Let g(j) = -2*j**2 + 7*j + 5. Calculate y*q(a) + 4*g(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z**2 - 6*z + 383. What are the prime factors of j(0)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1727884553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 19, 21, 25, 31, 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 482459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*c = -83*c + 2411. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/7 in -2, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/13, -3, 41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 119088 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.26 and 21.\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**6\/45 + 4*j**5\/15 - j**4\/2 - 224*j - 2. Solve s(c) = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -146\/9 and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*f - 18. Let a(s) = -6*s**2 + 11. Let d(o) = 2*o**2 - 4. Give f*a(c) + 17*d(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5083*h + 289789. Determine w(-57).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.8, 16\/7, -5, 0.2?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from {k: 2, r: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 280\/12 - (-1)\/(-3). Let h = x + -11. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 23*z - 14. Is -4 + (-25851)\/(-7) + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20233 (base 4) in base 8?\nAnswer: -1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*i*t**3 - 2*i*t*w**2 + 5*i*w**2 - t**3*w**2 - 6*t wrt w?\nAnswer: -4*i*t*w + 10*i*w - 2*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269200114?\nAnswer: 2, 47, 733, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 148470525?\nAnswer: -148470528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/13, -1, 0.3 in increasing order.\nAnswer: -1, 2\/13, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 4:32 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 12 = -2*m, -2*m + 8 = 4*o. Suppose 0 = w - o*w. Suppose w = 2*l + 7 - 1. Sort l, -5, 3\/5 in descending order.\nAnswer: 3\/5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.68 * 11.\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2215 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -4. Let b = 4 + n. Let g = b + 1. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (306\/(-4))\/(3\/(-12)). Let a = n + -141. Let v be (-4)\/(-10) + (-365)\/(-25). Calculate the highest common divisor of a and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8430 and 24728?\nAnswer: 370920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -297 + 85. Let t = -1481\/7 - d. Factor -2\/7*z**3 - 3\/7*z**4 + 2\/7*z**2 + t*z - 1\/7*z**5 + 1\/7.\nAnswer: -(z - 1)*(z + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 966 divide 38361683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/18)\/((-173)\/(-1027620)*-80)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i*x**4 + 4*i*x**3 + 1747*i*x**2 - 1339*x**4 - 2*x**3 - 259*x**2 wrt x.\nAnswer: 24*i*x + 24*i - 32136*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 6:02 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -20*v**5 - 32*v**4 - 104*v**3 - 80*v**2 - 20*v + 16. Let i(o) = -o**5 - o**3 + o**2 + o + 1. Let t(x) = f(x) - 16*i(x). Solve t(r) = 0 for r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5247 + -2124. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13559, -13558, -13557, -13556, -13555, -13554?\nAnswer: -13553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4508\/(-2093) + (2*1 - 0)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 114*a**3*w + 35*a**3 + 27*a**2*w**2*z + a*w*z + 2*a*z - 27*a + 8 with respect to w.\nAnswer: 114*a**3 + 54*a**2*w*z + a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 747, 5, 1592 in descending order.\nAnswer: 1592, 747, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 + 2)*(1 - 1 - 2*p + (1 + 1 + 0)*(2*p + 0*p - p) + 3*p + p - 3*p + p - p + p - 7 + 0 + 26 + 3*p) - 1 - p + 0 - 1 to the form q + i*p and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o**3 - o - 2*o**4 + 45 + 5*o**4 - 2*o**4 - 5*o**3 to m*o**3 + y*o**2 + f*o + j + c*o**4 and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (13 - 3) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313532638?\nAnswer: 2, 156766319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/5))**(-31)\/(c**(-2\/3))**(7\/2) assuming c is positive.\nAnswer: c**(221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, d: 2, h: 4, s: 2, z: 2}. What is prob of picking 1 v and 2 s?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-18)*c*c)\/(c*c**(2\/29))*c**(2\/5)*c*c*c**(10\/3) assuming c is positive.\nAnswer: c**(-4061\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -17. Let c(g) = 0*g + 3*g**2 + 0*g - q*g**2. Let v(u) = 2*u. Give c(v(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -328 or -326?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 12*m - 75. Give h(8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 + h**2 - 3*h**2)*(-5 - 5*h + 5)*(1 + 2*h - 1).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15421 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n - 10. Let s be b(8). Let y(v) = 1135*v - 10. Let f be y(s). What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*k - 41*k = -28. Suppose -3*z + 4*f - 1 = -2, k = 3*z - f. Which is the third smallest value?  (a) 4  (b) z  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/(-8) - (3024\/301 + -22)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 4*s - 1. Let c be (4\/(-5))\/((-4)\/10). Let j be ((-24)\/(-3))\/c + 0. Suppose 10 = 5*l - 5*z, -1 + 11 = 2*l + j*z. Determine d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23018 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54010181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of 2*b**4\/3 + b**3\/2 - b**2\/2 + 6*b. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wamm when four letters picked without replacement from {a: 3, m: 2, o: 1, w: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than -0.3209892?\nAnswer: -0.2209892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75\/(-20) + (-3)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005948 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 14) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04867 - -0.049. What is s rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 9, 2, -1, 1, 6, -90 in ascending order.\nAnswer: -90, -1, 0, 1, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 5:11 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 747321.\nAnswer: 3, 249107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 920 = 1025. Suppose -2*s + 7*s - l = -q, 5*q + 395 = 5*s. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 6. What is the units digit of 2*5\/(v\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -13*f**2 - 2*f - 7. Suppose 3*d = 58*i - 55*i + 24, 5*i - 23 = -4*d. Suppose 11 + 9 = -5*s. Let a(w) = -7*w**2 - w - 4. What is d*a(n) + s*j(n)?\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 5*w**2 - w - 7. What are the prime factors of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/7 + 6124*p\/7 + 4687922\/7.\nAnswer: 2*(p + 1531)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*y**3 + 135864*y**2 + 219730905*y - 62791350 = 0. Calculate y.\nAnswer: -3235, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7 - (-2)\/3*3. Let r be (1 + 1)*(-6 + l). Let u(d) = -336111*d**2 - 4. Let q be u(r). Round q to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 46 = 2*i, -5*i = 4*b - 1037 + 929. Solve 381*v + i = 386*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*l**3 + 111*l**3 - 55*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21\/8 + 311\/24. What is the common denominator of r and -22\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45.99 - 0.01. Let y = v + 81. Let j = 34.9983 - y. What is j rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 7 - 5 = 0. Let i be (-4 - s)\/((-4 - -3) + 0). Suppose 0 = -3*y - i*y + 520. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.44965193 - -0.84965142. Let w = u - -6.6. What is w rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*q**2 + 54 + 44 - 147 + 52 in the form v*q**2 + o*q + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3635 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from znrzrcxn. What is prob of picking 1 c and 2 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21, 42, 41, 6, -75, -214?\n\"Answer: -2*l**3 + l**2 + 32*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 11 - 19 = 0. Let r be 5\/(10\/66) - 3. What is the greatest common divisor of r and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/163, -14\/9, -13 in decreasing order.\nAnswer: -2\/163, -14\/9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 986960271 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45830 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -13*c - 15*c**5 + 43*c**3 + 90*c**2 - 25 - 42*c + 27*c**3 - 65*c**4 = 0?\nAnswer: -5, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 897 or 882?\nAnswer: 897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.16 + 0.26. Is y > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 6*z**2 + 3*z - 3. Let o(s) = s**2 + s - 1. Let j(n) = -h(n) + 3*o(n). Let d(l) be the first derivative of -2 + 0*l + 1\/2*l**2. Give d(j(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.0929 + 2.0929. Put -1, k, -9\/49 in descending order.\nAnswer: -9\/49, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 18. Suppose 4*j + 20 = -4*z, 3*z - 24 + 7 = k*j. Is 0\/z - 285\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**5\/60 + 5*x**4\/8 - 28*x**3\/3 + 5*x**2 + 3*x. Let c be h(7). Let z(b) = -b**2 - b - 13. Determine z(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppllpsyrpsprpy. Give prob of sequence yps.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 90145050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 168\/6*(-129)\/(-3612)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -8*m**3 + 17*m**2 - 15*m + 18. Let g be o(18). What is g rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1158 is divided by 379.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 270 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -212301 + -12432?\nAnswer: -230233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**4 - 10*p**3 - 14*p**2 - 10*p + 2. Let n(a) = -4*a**4 - 20*a**3 - 27*a**2 - 21*a + 5. Let o(c) = -2*n(c) + 5*z(c). Factor o(k).\nAnswer: -2*k*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*b + 18 - 8, 0 = a - 5*b - 30. Suppose 4*z = 33 - 1. What is the least common multiple of a and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3713\/10 - 370. What is the common denominator of -11\/24 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + y + 4*x + 26, 2*y - 21 = 5*x. Let p be 1 + y + 4*15\/20. Calculate the highest common factor of p and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 8:15 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6219*k**3 + 4449*k?\nAnswer: 37314*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 4 + 1)*(290 - 145 + 412)*((0 + 2 + 0)*(7 - 3 - 2) - 2 + 1 + 2)*(-h**2 + 0*h + 0*h) in the form x*h**2 + p + i*h and give x.\nAnswer: 8355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in -3\/2, -2\/17, 1080?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 4 = p + 5*g, -4*p + 57 = 5*g. Let v(j) = 2*j**2 - 3 + 13 + j - j**2. Calculate the remainder when v(-7) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 5:02 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63389880.\nAnswer: 2, 3, 5, 37, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000595061782 to six dps.\nAnswer: -0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3302, 3218, 3134?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 7*z + 4*z - 3*z)*(3*z**3 - 4*z**3 + 3*z**3) - 457*z**2 + 457*z**2 - 181*z**4.\nAnswer: -193*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6*f - 41. Let c be p(-10). Suppose -c*z + 43 = -356. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/6399 and -53\/13246641?\nAnswer: 119219769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 7:46 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 12:18 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**5\/2 + 525*r**4\/2 - 12861*r**3\/2 - 27309*r**2\/2 - 6960*r = 0. Calculate r.\nAnswer: -1, 0, 32, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -1883.\nAnswer: 941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**5 - 164*o**4 + 2148*o**3 - 9936*o**2 + 20142*o - 15228 = 0 for o.\nAnswer: -94, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 5 - 5)*(-2 + 2 - 3) - 2*y - 4*y + 4*y + (0 - 1 + 2)*(-1 - y + 1).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -110607\nAnswer: 331821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000477233 to 6 decimal places.\nAnswer: -0.000477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 4:30 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 - 34*p + 26. Let s be j(-18). Suppose 4*u = 2*u - 24. Is s not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20811541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28850 is divided by 994.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(1\/2))**(-47)\/(s**(-2\/11)*s**(-3)))\/((s\/s**(-5\/3)*s*s*s**(2\/7)*s)\/(s\/(s**(1\/3)\/s)*s**(3\/4))) assuming s is positive.\nAnswer: s**(-7347\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-7)*s)\/s*s)\/(s*s**(-3)*s))\/(s\/(s\/s**(-11))*s*s**1) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 304475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.06 - -0.46. Suppose 74 = g - 30. Let t = -934\/9 + g. What is the closest to t in 4, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14196*y = 14198*y + j - 3, -2*y - 3*j = -9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, w: 2, p: 2, i: 1, f: 1}. Give prob of picking 1 w, 1 p, and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllwwllllllllllwllwl. What is prob of sequence wlwl?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.9 - 8. Let j = -2.1 - q. What is the nearest to 0.1 in j, -1\/8, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 3*j - 45 = 0. Suppose 0*l = 5*l - j. Sort 0.3, 1\/5, l in descending order.\nAnswer: l, 0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(0*q**2 - 3*q**3 + 0*q**2)*(0*q + 5*q + 0*q)*(5*q - q + 7*q).\nAnswer: 165*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1.3, 2\/9, -3\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 62*b**2*q**3 - b*q**3 + 9*b*q - q**3 wrt b.\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -31 - 551605?\nAnswer: -551636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -82*a + 261*a - 90*a + 23*a**2 - 84*a + 2 in the form n*a**2 + x + s*a and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 1882.\nAnswer: -1\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1464 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 8*d - 1. Let q = 14 + -23. What are the prime factors of u(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.47 - -8.73. Round s to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*z**2 - 105\/4*z + 18 - 3\/4*z**3.\nAnswer: -3*(z - 8)*(z - 3)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(18018\/(-4785)) - ((-8)\/18 + 560\/936).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqiiqyiyyq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 3*b - 3, 5*b - 23 = -4*d + 18. Suppose k + 4*k = 4*l - 19, 2*k + 34 = -b*l. Let q = k - -10. Solve -7 = -q*i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*f = -o - 383, 5*o - 2*f + 633 = 0. Let w = o - -169. Is w a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*m**3 - 970*m**2 + 1994*m**2 - 3 - 8*m**3 + 0 - 1032*m**2 in the form n*m + a + y*m**3 + t*m**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/15)\/(17\/(306\/(-12)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, x: 1, b: 5}. What is prob of picking 1 x, 1 b, and 1 j?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-5) + 245\/25. Is 18 a factor of 16\/i*(-1215)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -4 - -1) + 615\/(-164)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-8)*l*l**(-1\/9)*(l**(-1\/4)*l)\/((l**(-2\/11)*l)\/l*l))**(-11\/8) assuming l is positive.\nAnswer: l**(2843\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 112 - 110. Suppose 10 = -x*b - 5*l - 5, -2 = -2*l. Is -4 - (b + 5) - -57 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + -19. Suppose 120 = -4*j + m*j. Suppose -9*v + 8*v = -j. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21437.300686 to one decimal place.\nAnswer: -21437.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 136069543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -267234 smaller than -267618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 - (2 + 260\/(-5)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 373042 and -221615?\nAnswer: 594657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -119 - -72. Let m(f) = 13*f**3 + 4*f**2 - 5*f + 3. Let j be m(3). Let r = j - v. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1062 and 3.\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4924*0.02.\nAnswer: 98.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 107013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 914 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -93 - 10. Let p be (2 - 2) + y + 7. What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -359 - -359. Suppose 10*h = 8*h + 4. Solve 4 = -3*y - h, i - y + 2 = g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.45 - 0.95. What is the second biggest value in -3, -1, n, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19.4 - -1.4. Let b = -143 - y. Let l = b + 124.99949. What is l rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r + 4*p = -6*r - 17, 578*p = 579*p + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*3*sqrt(78)\/sqrt(6).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -3\/7, -0.0298?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nzjkznznkjnsnkzjzzk. Give prob of sequence sjk.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -571*q + 13 + 1070*q - 501*q.\nAnswer: -2*q + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -5\/6, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 9*v + 580. Let n be a(-52). What is the greatest common divisor of n and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1350*i + 43245 - 45 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*x - 6*x, 0 = -3*r + 2*x + 338. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*576.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 4:32 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 0*d + 8\/5*d**5 + 13 + 1\/2*d**4 + 0*d**3 - 8*d**2. Find the second derivative of m(b) wrt b.\nAnswer: 96*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = i + 1. Let m be (i\/3)\/((-2)\/(-246)). Let l = m + -30. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1605795 divided by 2.\nAnswer: 1605795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 675315894?\nAnswer: 675315893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -34 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.12 - 3. Let j = 1487 + -2969\/2. Sort -0.3, d, j, -0.4 in decreasing order.\nAnswer: j, d, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -166*w**2 + 1. Let o(n) = -25491*n. What is o(h(m))?\nAnswer: 4231506*m**2 - 25491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v - 1. Let h be m(-2). Sort h, -5, -2 in decreasing order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*f - 1344 = 34*f. Does 56 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -13\/10  (b) 2  (c) 0.03  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 757*g - 58. Let u(y) = 2*y + 1. Let m(r) = a(r) + 3*u(r). What is the units digit of m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -1. Let p = -2 + a. Suppose -5*y + 1 + 4 = p. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -84*k**3 - 2*k - 10. Let u = 93 - 98. Let m be y(u). Round m to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**3 + 5*k**3 - 2*k**3 + (-k - k + k)*(0*k**2 - 3*k**2 + 2*k**2) + 4*k**3 + k**3 + 2*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-2) - (-4602)\/12. Suppose d + p = 5*k, -k + 71 = d - 3*d. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 6) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -13. Suppose -3*x + 4*x = k. Suppose 3*f - 1 = -5*m + 139, -4*f = 2*m - 210. Calculate the greatest common factor of f and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 297 and 12312?\nAnswer: 135432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -142, -272, -380, -460, -506, -512, -472?\n\"Answer: t**3 + 5*t**2 - 152*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/12 + (-130)\/(-136). Is p >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 4*w + 24, -g + 5 = 4*g - 3*w. Is 20 a factor of ((-8)\/2)\/(g\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + -8 + -50 + 26 + -5\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 133994*h**4 - 3*h**2 + h**2 - 134008*h**4 + 69 + 93 + 19 to the form j*h + c + u*h**3 + q*h**4 + i*h**2 and give c.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 6*q - 20. Suppose 6*x - 2*x = 12. Let z(t) = t**3 + t - 3*t**2 + 2*t**3 - q*t**x. Give z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 12 = 4*w, 3*w - 4*r + 35 = 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 5 + m + 1 - 3. Let u be z(-8). Let r = -2.01 - -0.01. What is the smallest value in r, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -3122  (b) -0.3  (c) -4\/7  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 340503 and 1498387633.\nAnswer: 1498728136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17\/(-102) + (-85)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 334022019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 10:34 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5033.\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 257.3583 microseconds in milliseconds?\nAnswer: 0.2573583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/156 + 38\/12. Solve -5*l = 12 + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -25*v + 27*v. Suppose -2*t + 37 + v = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121 and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 7*q**3 + 83*q**2 - 8*q + 22. Determine g(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3977, 31696, 106791, 252908, 493693, 852792?\nAnswer: 1353851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*(0\/3)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m - 2*m - 2*m)*(-4 - 3*m**2 + 4 + (0 + 0 - 2*m)*(3*m - 5*m + m) - 154*m**2 - 224*m**2 - 15*m**2) in the form h*m**2 + c + k*m + u*m**3 and give u.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 3\/4*l**4 - 15\/2*l**2 - 9*l - l**3 - 14. Determine q so that s(q) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*s + 300*s = -15960 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1381)\/((0 - -4) + 14). Let i = -153\/2 - u. Which is the closest to -2\/5?  (a) i  (b) -2\/3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 16*t**2 + 38*t + 41. Let w be f(-18). Suppose 30*i**4 + 2*i + 60*i**2 + 3*i**3 - w*i**5 - 22*i - 68*i**3 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68461032 to the power of 1\/2, to the nearest integer?\nAnswer: 8274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -378188927.72 + -1.77\nAnswer: -378188929.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 3*b + 6*b)*(-2*b**4 + 4*b**4 - b**4) + 944*b**5 - 260*b + 71*b**5 + 522*b - 262*b.\nAnswer: 1016*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 6:26 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8913.398 centuries to millennia.\nAnswer: 891.3398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15325 is divided by 2275?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92)\/4*41\/41.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-2*sqrt(45) + -4))**2 - (-2 + 0 + sqrt(5) + -4 + sqrt(5)*2))*-1.\nAnswer: -7062 - 1725*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g + 13. Let c be d(-13). Let l be 1\/(21\/30 + (-4)\/20). Solve c = -2*z - 6 + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**4\/2 - 2853*i**3 = 0.\nAnswer: 0, 5706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2 + 7*x + 4. Let b be c(-4). Suppose 8 = a - b. Let m be (a\/6)\/(2\/3). Put 0, 0.5, m in increasing order.\nAnswer: 0, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -20.14 and 12409.\nAnswer: 12388.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 3*y = 0. Factor -2*h + 81*h**4 + y*h - 95*h**3 + 23*h**3 + 8*h**2 + 13*h**2.\nAnswer: h*(3*h - 1)**2*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 102\/10 + ((-24)\/(-20))\/(-6). Suppose -164 = -2*x - z. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 + -1177?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7612 and 4210143916?\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*w**5 + 2*w**3 - 2*w**3 + 35*w wrt w.\nAnswer: -420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3166 - 503*k**2 + 3166 - 2*k - 2*k**2 + 2*k + (1 - 1 + k)*(5*k - 2*k - 2*k) + 0*k + 2*k**2 + 0*k to the form d*k + w + l*k**2 and give l.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 41*g**2 - 89*g + 410. What is j(39)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -6  (b) -0.1  (c) 0.5  (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cza when three letters picked without replacement from {a: 2, z: 2, c: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zylllglyglzlyznn. Give prob of sequence ggz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, h: 1, p: 1, n: 2, c: 1, y: 3}. What is prob of sequence ych?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 14*t**2 - 10*t + 16. Let b be j(13). Suppose b = 5*h - 25. Calculate the smallest common multiple of h and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 2*d + 1. Let m be x(2). Let c be (61 - -1)\/(m\/(-4)). Let y be (-8)\/(-28) + c\/(-14). Calculate the greatest common divisor of y and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 75)\/(-34 - -33). Solve 14*g = -v + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 6, k: 6, p: 7}. What is prob of picking 3 v and 1 p?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57226448158 - -452?\nAnswer: 57226448610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -477*x - 2359. Give w(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 277289827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -40*c**2 + 14*c + 13. Let w(q) = -46*q**2 + 15*q + 15. Determine 6*s(g) - 5*w(g).\nAnswer: -10*g**2 + 9*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3775192507 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 59 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 308, 1262, 2860, 5108, 8012?\nAnswer: 11578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 22 = 6*v. Let b(w) = -1 + 3 + 3 - v*w + 9*w. Let c(i) = 2*i**2. What is b(c(j))?\nAnswer: 10*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 527223\/1363846 + -2\/43527. Calculate the common denominator of m and 17\/235.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12978\/5, -0.0259, 0.1 in descending order.\nAnswer: 0.1, -0.0259, -12978\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101111101011 - -10001101100?\nAnswer: -1011101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/2*32\/72\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 0*c**2 - c**2)*(-41 + 144 + 61).\nAnswer: -164*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.147915 millennia in months?\nAnswer: 49774.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/771284 and -47\/836.\nAnswer: 161198356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.290011 - -0.29. Round q to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + (8 - 9 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -77\/318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 3*t + 7 = -16, 5*t - 21 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4767, 9536, 14309, 19086?\n\"Answer: 2*o**2 + 4763*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (7 + -19) - (-61)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21498518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 - 2*v**3 - 2*v**3 + (4*v**3 - 5*v**3 + 6*v**3)*(27 + 11 - 63 - 129).\nAnswer: -774*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 321, 900, 1787, 2982, 4485, 6296, 8415?\nAnswer: 10842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 0*r + 7*r)*(4 - 5 - 1)*((-2 + 0 + 3)*(-5*r + 3*r - r) + 2 - 2 + 2*r - r + 5*r + r).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (288\/90)\/((-4)\/(-10)). Let l be (18\/(-36))\/((-1)\/i). Let y = 15 - 9. Calculate the greatest common divisor of l and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (42 - 25 - (30 - 11))\/(2\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*j*x**3 + 74*j*x - 764*j - x**3 wrt x?\nAnswer: -6*j*x**2 + 74*j - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 118*z**3 + 2*z**2 - 5*z. Let f be n(-4). Let i be (40000\/6)\/(2\/f). What is i rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249166957561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1032 and 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 300 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3008 * 0.5.\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2240 divided by -5\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24342 + -155?\nAnswer: 24187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 255507 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 164 and 52.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 194893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0668169 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 3)*(3*l**2 + 0*l**2 - l**2)*(0 + 1 - 6*l**2 - 2).\nAnswer: 48*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.27 + -0.03. Let z = 2.3 + g. What is the closest to z in -0.01, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1590806, -1590803, -1590800, -1590797, -1590794?\nAnswer: -1590791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(340)\/sqrt(90))\/(sqrt(384)\/sqrt(12)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j + 2*j - 3*j**3 - 3*j + 3*j**2 to b*j**3 + z + a*j + o*j**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0983076 to 3 dps.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 56*q + 568. Give i(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-558)\/(-4))\/(1 - -11) and 0\/2 + 2 - 59\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 200914 to the nearest one thousand.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290*w - 6117 + 2057 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 216492, 0, 2 in descending order.\nAnswer: 216492, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 - -32. Let d(u) = 4 - 10*u - 7 + 132*u**2 + 12*u. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2239574 is divided by 1459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8948 + 13501. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9\/2)*a*a)\/((a*a**(2\/57))\/a)*a**(1\/26)\/(a**(-1\/2)\/a) assuming a is positive.\nAnswer: a**(-1477\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 j when four letters picked without replacement from xjjxjjjjjjjj?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**3\/2 - 777*b**2\/2 - 392*b + 2334 = 0.\nAnswer: -3, 2, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*c**5\/11 + 1310*c**4\/11 + 9606*c**3\/11 - 17462*c**2\/11 - 13870*c - 31800\/11 = 0 for c.\nAnswer: -5, -3\/14, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3783*v**3 - 2230*v**3 + 1119*v**3)*(v + 0*v - 2*v)*(-3*v + v + v).\nAnswer: -4894*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -17. Solve -j = -8*s + 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + w - 13 = -u, u - 2*w - 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/9))**(-10)*(n\/((n*(n\/(n\/(n**(-2\/11)*n)))\/n)\/n))\/(((n\/n**25*n)\/n*n)\/n*n) assuming n is positive.\nAnswer: n**(1294\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 390*h + 399*h + 407*h + 2 - 1191*h.\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.044318*-12117.\nAnswer: -537.001206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(2\/9)*h*h**17*h*h**(-1\/10)\/((h*h*h*h**(1\/5))\/h))**(-3\/2) assuming h is positive.\nAnswer: h**(-1573\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 4014, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - 56. Let g be 43\/3 + (-4)\/(-6). What is the remainder when q is divided by (g\/(-2))\/((-7)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 42 = -5*m, -2*r = -2*m - 7*r - 26. Is 14 a factor of m\/28 - (17820\/(-28))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 6 - 2)*(-143*b**2 + 76*b**2 + 32*b**2).\nAnswer: 175*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 3*a - 3, b - 1 = -b + a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 3*h + 4*m + 508, -4*h = -3*m - 689. Suppose -h*u + 534 = -174*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4*h = 279. Let u = -42 + h. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, i: 10}. Give prob of picking 2 i.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-15)\/(-5))\/15)\/(6\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*m**2 - 21*m + 8*m**2 + 21*m.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 4, 6, -3, -3\/28, -2, -51\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -23\/2. Let l = -0.85 + 0.6. Let o = l - -0.25. Which is the biggest value?  (a) k  (b) -2\/15  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 11:28 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-3)\/9)\/(-1)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f - 6. Suppose 0 = 4*g - 7*g + 18. Calculate the least common multiple of k(g) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of i**4\/4 + 5*i**3\/3 + 3*i**2\/2 - 12*i - 25. Let c be b(-4). Is 390*226\/16 - 2\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -6*h**2. Let s(m) = -11060*m**2 + 170*m. Let a(x) = -395*x**2 + 6*x. Let y(g) = -170*a(g) + 6*s(g). Determine t(y(k)).\nAnswer: -3744600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 3*b**2\/7 + 1816578*b\/7 - 519024 = 0?\nAnswer: -605528, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-16)*k)\/(k*(k*k\/(k*k**(-23\/2)))\/k)*(k**(2\/11)*k)\/(k**(-1\/14)\/k) assuming k is positive.\nAnswer: k**(-1944\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2*y, 5*j = -2*y. Let g be ((-1)\/(-2)*j)\/(-1). Suppose 2*z - 41 - 51 = g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 303 divide 108506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/(z\/z**(2\/13))))\/z)**(-36) assuming z is positive.\nAnswer: z**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 - -23. Let g be -11*(18\/(-2))\/b. Calculate the greatest common factor of g and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 302028788 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 62 + -60. Let c be 0 + 1 - (-1)\/x*6. Suppose -4*o - c*z = -64 - 92, 4*z - 88 = -2*o. Calculate the highest common factor of o and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + -4)*2\/(-3). Suppose -t = f*t - 3. Let v = 4 + t. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 0*m + 4*m)*(-3 + 5 - 3) + (-5 + 1 + 1)*(3*m - 2*m + 2*m) - 2*m + 3 - 3.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15015331.\nAnswer: 2423, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 2*d + 48. Suppose 2*s = 4*s + 4*h + d, 4*h = s - 18. Let r be 7*3\/12 - 1. Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*j = -90*j + 251795. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5*k + 8 = 0, -5*w - k + 22 = 3*k. Let f = 1962 + -1946. What is the least common multiple of w and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 0*f - 2*f + 5*f - 4*f. Let n be a(-3). Let d(i) = -2*i**2 + 0*i**2 + n + 0 + 0*i**2. Let k(b) = b**2 - 2. What is 4*d(h) + 6*k(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -11.57989?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 607508 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 324072.8cm to meters.\nAnswer: 3240.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-3 - (-5 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nngng. Give prob of picking 1 g and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 2:31 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/12 and (-2)\/(-15)*1680\/5166?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -82371272 and 5.\nAnswer: -411856360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1110 = 949*r - 934*r. Which is smaller: -51 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**5 - 788*a**4 - 1638*a**3 + 21488*a**2 - 41240*a + 22176 = 0.\nAnswer: -7, 1, 2, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.863696l in millilitres?\nAnswer: 8863.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-122 + -2)*2\/(-4). Suppose k = 5*i - 43. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -248*i**3 - 2*i**2 + 4497*i wrt i.\nAnswer: -1488*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q - 4*i - 2 + 6, -17 = 5*q - 2*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4 = -10. Suppose -10 = -8*i + u*i. Suppose -5*z + 5*w + 20 = 0, 5*z + 4 = 2*z - i*w. Put 1, -1, z in descending order.\nAnswer: z, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 - 158289?\nAnswer: -158289.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.117187216 - 4\nAnswer: -3.882812784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*i + 7747 = -217*i + 900 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54385 divided by 73.\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that z**4\/3 - 23*z**3\/3 + 98*z**2\/3 - 148*z\/3 + 24 = 0.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhqhqhhxhhhhhhhrhhoh. Give prob of picking 1 o and 1 r.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2353, 4759, 7163, 9565?\n\"Answer: -g**2 + 2409*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1206 + 1211. Solve -m = d - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 523*v = 515*v + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x + 2*x + 3*x)*(-x + 3*x - 3*x)*(0*x + 4*x - 7*x)*(0 - 1 + 4) + (12*x**2 + 0*x**2 - 3*x**2)*(x - x + x) - 2*x**3 + 0*x**3 + 3*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5945414 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 7) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42 or -687\/16?\nAnswer: -687\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**8\/24 - l**7\/30 + l**5\/60 + 23*l**4\/24 + 26*l**2 - 3*l. Find the third derivative of u(t) wrt t.\nAnswer: -840*t**2 - 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -4*f + 47, 0*j - 21 = -4*j + 3*f. Is 7\/((-42)\/(-20))*j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 20 = -v. Suppose -2*z = 5*h - v, 2*z - 25 = -3*z. Solve 0 = h*n - i - i - 6, n - 15 = 5*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*((-3741)\/(-903) - (3 + 1)). Put d, 3\/5, -0.4, -0.0782 in ascending order.\nAnswer: -0.4, d, -0.0782, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 237\/500426 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 43778 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 235395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21162 = -9*c - 2694. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 458 = 8*x. Suppose 0 = -4*n + 3*p - 930, -6*n = -4*n + 2*p + x. Find the common denominator of -44\/25 and (324\/n)\/((-2)\/(-7)).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 z, and 1 e when four letters picked without replacement from wdyyzzedzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -436 - 257 + 2*l - l + 479 as z*l + g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -513, -505, -411, -231, 35, 387?\n\"Answer: 43*b**2 - 121*b - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 182373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45510 and 48585?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*q + 186*q - 29*q = -4141 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1813164.\nAnswer: 2, 3, 61, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = -j + 4*u + 6, -5*j + 130 = 5*u. Suppose -5*z + 19 = -j. Calculate the smallest common multiple of 4\/6*-3*-10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 + x - 8. Let l(b) = b**2 + b - 7. Let u(a) = -4*h(a) + 5*l(a). Let z be u(6). Solve 5*c - 20 = 0, 4*i + z = 4*c + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -14, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 793 - 655. What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(5) + 3) + 0)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*i**3*o**3 - 62*i**3*o**2 + 26*i**2*o**2 - 127*i*o**3 wrt o.\nAnswer: 12*i**3 - 762*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 3*q - 102 = 0. Suppose 1 - 26 = -5*n. Find the first derivative of n*c**2 - q*c**2 - 5 + 7*c**2 wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/4*(-2 + 4). Suppose -21*y + 17*y = 5*n + 29, -4*y - 14 = 2*n. Let p be (-76)\/(-57)*(-3)\/y. Solve 5*b + r*k + 15 = 0, -k - 2*k = p*b + 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-2 - -6) + (23 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 0*j + 1\/24*j**5 - 2\/3*j**3 + 0*j**4 + 1\/72*j**6 + 0*j**2 + 10. Let a(q) be the third derivative of d(q). Factor a(k).\nAnswer: 5*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.0017  (b) 5  (c) -0.3  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - d + 7 = -2*z, 3*z - 7 = -5*d. What is the units digit of z\/4 + 135\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -9*h**3 - 3*h. Let p = -12 - -17. Let x(d) = -5*d**3 - 2*d. Determine p*x(w) - 3*v(w).\nAnswer: 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**2*k)**(-21)*k**(1\/8)\/(k\/(k**(-5)\/k)) assuming k is positive.\nAnswer: k**(-559\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, k: 5, w: 1, o: 3}. What is prob of sequence rwk?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 208*t**3 - 235*t**3 - 2*t**2 + 64*t - 2*t**4 - 65*t in the form j*t + h*t**3 + o + g*t**4 + i*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 47, 92, 157, 248, 371, 532?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s - 64 - 36 = 0. What is the remainder when 40 is divided by -2 + s - 1 - (-29 - -16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215026 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (36\/4)\/3 + -1. Let c(w) = -93*w + 93*w + 4*w**z. Let n(j) = -2*j**2. Determine n(c(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-12) + 1\/(-4). Let x = 191.94 - 196.94. Which is the nearest to 2\/7?  (a) 2  (b) d  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92a (base 16) in base 4?\nAnswer: -210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/4*30\/(-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -3  (b) 3\/17  (c) -2\/3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l**2 + 2*l**2 - 4*l**2. Let r(h) be the third derivative of 9*h**2 + 0 + 0*h**3 + 0*h**4 + 1\/10*h**5 + 0*h. Calculate p(r(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o**2 - 6*o + 2. Let q be x(1). Let y = 2 + 3. Suppose y*i - 17 = 38. Calculate the greatest common divisor of q and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 + 68. Let i = 31 - m. Suppose 6*x = 12*x - 540. Calculate the least common multiple of x and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 819244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 20 - 155*c + 211*c + 296*c)*(-6*c + 4*c + 0*c).\nAnswer: -704*c**2 - 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 73c0c7 - -37?\nAnswer: 73c0fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 4:11 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 1:23 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12.3  (b) 70  (c) -3  (d) 3  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 15*s**2 - 19*s - 2. Let q be l(-14). Suppose 3*x - 1123 = f, -17*f + 20*f = -3. Calculate the highest common divisor of q and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 502 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 187912*t + 559540.\nAnswer: 187912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 298790, 597578, 896366, 1195154, 1493942, 1792730?\n\"Answer: 298788*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3*x*x*(x\/(x**7\/x))\/x)\/(x**(-2\/3))**(3\/7) assuming x is positive.\nAnswer: x**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**2 + 819*r + 2*r**2 + 56 - 97 - 724*r as u + c*r**2 + o*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 10 - 25)*(-1292*v - 579*v**3 + 1292*v) in the form y + l*v + n*v**3 + r*v**2 and give n.\nAnswer: 12738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -31 + 162 + 44*o**2 + 49 + 156*o + 4*o**3.\nAnswer: 4*(o + 3)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 15*h**2 - 2*h - 21. Let x be m(-15). Calculate the greatest common factor of x and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 18 - 1540*k - 2*k**2 + k**2 + 31 - 747*k.\nAnswer: -k**2 - 2287*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 322, 1357, 3950, 8881, 16930, 28877, 45502, 67585?\nAnswer: 95906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1505783, 1505802, 1505847, 1505930, 1506063, 1506258?\n\"Answer: 2*r**3 + r**2 + 2*r + 1505778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5*x = -20, -4*f + 5*x = -f - 4. Suppose -2*o - f*o - 44 = -g, -56 = -2*g + 2*o. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 13\/7, 3\/58, 3, -1, 1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1163 - 74 - 846 = -79*x - 5322 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 2 + 15*n**2 - 2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -339.3 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268*l**4 + 2410*l**3 + 3734*l**2 - 28*l = 0. Calculate l.\nAnswer: -7, -2, 0, 1\/134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -458*s - 362*s - 524*s - 1158*s - 433*s.\nAnswer: -2935*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40533 is divided by 179?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21492 divided by -2388.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.13 - -3.87. Which is the smallest value?  (a) 6  (b) 3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3*w**2 + 7*w - 11. Let r(k) = k**2 + 4*k - 5. Let i(l) = -2*b(l) + 5*r(l). What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18\/7 + -16\/7. What is the second biggest value in -2\/5, -1\/2, o, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1147384.43 to the nearest one hundred.\nAnswer: -1147400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6464 + -5576. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 862781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3791941, -3791924, -3791871, -3791764, -3791585, -3791316, -3790939?\n\"Answer: 3*l**3 - 4*l - 3791940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2 - (-5 - (18 - 44 - -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 23640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(20\/8) - 1. Suppose -3*r + 8*p - 3*p + 1 = 0, u = p. Let 30*i - 30*i**3 + 75 - 72*i**r + i**4 - 9*i**4 + 5*i**4 = 0. Calculate i.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 43*s**3\/6 - 135*s. Let o(k) = -97*k - 1. Let p(m) = -9*i(m) - 4*o(m). Let l be 2\/(-7) + (-26)\/7. Calculate p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448327583 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -5. Let j = -4 + c. What are the prime factors of (26\/(-2))\/(j\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9059191.3 - -579429.3. Let x = k + 8479765.999967. Let p = -4 + x. What is p rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*h**2 + 4 + 22*h**2 - 7*h**2 + 9*h**2 - 3*h**2 to the form a + g*h + d*h**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7552\/7 + 1079. Is k smaller than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*n - 5*n - 4*n)*(-2*n - n + 2*n) + (-4 + 0 + 2)*(-26*n**2 + 17*n**2 + 15*n**2) to y*n**2 + g + h*n and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -127 - 4303. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -420*s = -30*s + 152*s + 21680 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = -17*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 73262.6 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546 - 155*p**2 - 401 + 154*p**2.\nAnswer: -p**2 - 947","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46755888 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**4 - 6*v**2 + 9765*v**3 - 9765*v**3 + (2*v**3 - v**3 + v**3)*(-v + 0 + 0))*(0*v - 2*v + 0*v).\nAnswer: -2*v**5 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9524695 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**11*n)**12\/(n*n**(-6)\/n)**11 assuming n is positive.\nAnswer: n**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.3, 1, 2 in descending order.\nAnswer: 2, 1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + -13. Let l be (-6)\/(-14) - 78\/(-14). Solve -l*w = -2*w - q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i + 4. Let n be k(4). Let j be n\/(-3) - 0\/1. Suppose j = -3*u + 4*u - 37. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8170 + 8169.9986936. What is o rounded to five decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wswwwswwsswsw. What is prob of picking 3 w?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2. Let a(m) = -2*m. Determine a(z(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 4:49 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 28*j**2 + 40*j + 60. List the prime factors of n(7).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54\/1919 - -1757\/5757. Is n >= -10.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5427, 0.5, -3, -0.3, 38 in descending order.\nAnswer: 5427, 38, 0.5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288\/28 - (-18)\/(-63) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14034400412 - -11?\nAnswer: -14034400401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 328.9492mm to micrometers.\nAnswer: 328949.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14 + -0.54. Let b = 0.78 + o. Which is greater: 21 or b?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 267*z + 28. Let o be q(0). Suppose -5*i + 4*b = 2*b - 209, 0 = 5*i - b - 207. Let l = o - i. Which is bigger: -14 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 2*v = 5*v + 1087320. What is v rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8277 = -27*o - 8385 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {q: 3, l: 3, h: 4, k: 4, s: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-1\/4)*h)\/h)**(-23)*((h*((h\/((h*h**1\/h)\/h))\/h)\/h)\/h*h)**(-29))\/(((h*h**5)\/(h*h**(5\/4)))\/((h**7\/h)\/h*h**(-7))) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1169 - -7183.\nAnswer: 6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 30391, -2\/31, 0?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236 = -2*g + 146. Suppose 20 = -5*q, 4*q - g = -4*c - 43. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(91)\/(sqrt(35)\/sqrt(5)))**2 + -4.\nAnswer: -4*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -s**5\/60 + s**4\/12 - 2*s**3\/3 - 3. Let y(n) be the third derivative of h(n). Calculate y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -1003005\nAnswer: -2\/334335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17662, 17515, 17382, 17269, 17182, 17127, 17110?\nAnswer: 17137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1157 + 3?\nAnswer: 115a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 14 - (165 + (-11 - (-16 - -6 - -4)))?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 4:48 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/5)\/((-15)\/(-50))*3. Let b(r) = -r + 5 - 6 - 2 - r**3 - 4*r**n. Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*r + 3 - 63 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {u: 3, g: 3, e: 1, k: 10, p: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*y - 480 = -167*y. Let q(c) = -525*c**2 - 126*c. Let r(w) = 21*w**2 + 5*w. Give y*q(l) + 126*r(l).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1881307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 9:04 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 44900131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -9*j**2 - j + 4. Let f be q(-2). What is the tens digit of (-651)\/(-6) + (f\/4)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*-1*(-1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/35 - (-46)\/10. Suppose -5*y - 125 = -5*d, d - y + 6*y + a = 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of -4\/3*s**3 + 0*s**4 + 5\/7*s**7 + 0*s + 6 + 0*s**5 + 0*s**2 + 0*s**6. Find the third derivative of u(h) wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 10) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 66\/7 of a week?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + 9 - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 3*j + 9 - 0, 5*j = -10. Suppose -6*n + b*n = 27. Let k be n + 6 - 1*-5. Solve k = 5*s + 3*y - 8, 0 = -2*s + 2*y + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 44 = -2*o, -4*q - o + 28 = 3*o. Suppose -q = 4*y - 6*y. Factor 0*j - 2 - 4*j**2 + 0*j**2 + y*j + j**3 + 0*j.\nAnswer: (j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 128*z + 1403. Give h(-10).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**3\/21 + 12962*r**2\/21 + 21620*r\/7 = 0.\nAnswer: -5, 0, 6486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -z - 24. Suppose 2*k - 2*n + 10 = 0, n = 8*k - z*k + 5. Solve k = -8*o + 6*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -362757 (base 12) in base 6?\nAnswer: -30432551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14 * -0.063\nAnswer: 0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 1:56 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 267174, 534354, 801534, 1068714, 1335894?\nAnswer: 1603074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6*z - 102. What is x(12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 448 - 212. List the prime factors of f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = w - 61. Let l be w\/(-30) + 2\/(-10). Let f = -0.7 + 1. Which is the closest to -0.1?  (a) l  (b) f  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*a + 3 - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2234 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 3*r + 2*r)*(-45 + 14 + 265) + 5*r + 0*r - 4*r.\nAnswer: -701*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) 1\/9  (c) 378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**3 + 1363*b**2 + 2723*b + 1361 = 0.\nAnswer: -1361, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of 476*d**4 + 2495*d**3\/2 + 5698*d**2 + d. Differentiate f(u) with respect to u.\nAnswer: 11424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52 + 525*j - 261*j - 262*j + 25.\nAnswer: 2*j + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 0. Suppose 12 = 3*u - 4*x, -3*u + 10 + s = -5*x. Solve 3*b - p + 14 = u, 0*b + 3*b - 3*p + 12 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 5\/(-2))*-36. Let y(t) = -t**3 + 4*t**2 - 5. Let x be y(4). Find the common denominator of 59\/8 and (-2)\/x - (-156)\/s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57566961 a multiple of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 5 = 2*x. Suppose -n = s - 14, -x - 2 = -4*n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -712740846*0.3\nAnswer: -213822253.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/56 + (-9675)\/40. Let b = -160 - z. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -3*f**4\/4 + f**3\/3 + 3*f**2\/2 - 7*f - 2937. What is t(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -97982 divided by 6.\nAnswer: -48991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 74216 or 74237?\nAnswer: 74216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -1147*w - 116. Let c = -194 - -187. Is k(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -823883 <= -3295533\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a**(-2\/3)*a)*a)**(-1\/10))**(-6))**44 assuming a is positive.\nAnswer: a**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9395*i**3 - 3*i**2 + 2*i**2 - 9393*i**3 - 4*i**4 wrt i?\nAnswer: -96*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109e (base 16) in base 5?\nAnswer: 114004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177936 is divided by 242.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -11*d**3. Let f be 247\/(-39) - -1 - (-6 + 161\/21). Let l(q) be the first derivative of 17*q**4\/4 - 1. What is f*k(w) - 5*l(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 10917\/4421 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 37117.82 years?\nAnswer: 37.11782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.79 - -0.68. Let k = -6.11 - -6. Let i = k - r. Which is the nearest to i?  (a) -0.5  (b) 5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*o**2 + o**2 + o**2 + (0 + 0 - 1)*(-o**2 + 0*o + 0*o) + (-25*o + 78*o - 8 + 3)*(2*o - o + o) as t*o + m*o**2 + i and give m.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -620239*y**3 - 2*y + 1431520 wrt y?\nAnswer: -3721434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 888573193?\nAnswer: 888573193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 24\/36 + 1570\/3. Let f = u - 313. List the prime factors of f.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -183842, -183845, -183848, -183851, -183854?\n\"Answer: -3*v - 183839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.6 - -9.3. Let n = y + -3. Is n > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**3 - 2864478*v**2 + 2864478*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 80500 divided by -11500?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 34 - 23)*(-28*t**3 - 3*t**4 + 28*t**3).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 12*s**2. Let b(g) be the second derivative of -g**3\/2 - 3*g - 4. Calculate b(z(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 9, 98, 3, 8 in ascending order.\nAnswer: -2, 3, 8, 9, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d + 22. Let w be s(9). Let j = -18 - -44. What is the highest common factor of w and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -1, 155 in increasing order.\nAnswer: -1, -1\/2, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 3*u - 4*y, 0 = -5*u + y + 494 - 515 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 6 = 5*d - 13*d, l - 5786 = -2*d - 5785 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -762490*5.\nAnswer: -3812450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2257632.\nAnswer: 1\/2257632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -10c431c?\nAnswer: -10c4319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2*b**2\/15 - 316*b\/5 + 946\/15 = 0.\nAnswer: 1, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14064150 divided by 5.\nAnswer: -2812830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 51334141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 45*z**2. Let a(x) = -x + 4*x - 14*x + 8*x + 5*x. Determine r(a(h)).\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 0 + (-4)\/(-2). Let h = l - -5. Factor -4*x**3 + x + 0*x**3 + 2*x**h + x.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1569078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*d + u, -18*d + 14*d + u + 12 = 0. Suppose 3074 = 2*l - 3*i, 241 = d*l - 3*i - 5919. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010174639016 rounded to 5 dps?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2711781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 2691282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8979625.\nAnswer: 5, 71837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**4*n + 196*h**3*n**2 - 6*h**2*n**2 + 24*h**2 - n**2 wrt h.\nAnswer: 24*h*n + 1176*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-6 + 3)\/(-3). Suppose 0 = -3*k - 12, 3*a + 2*a - 2*k = 8. Let g = a + s. Is g < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 5*w**2 + 9*w + 2. Let k be j(7). Let g be (22\/k)\/((-2)\/108). Let l = -27 + 33. What is the highest common factor of g and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1 - 3) - (90 + -80).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -101200200010 (base 3) to base 14\nAnswer: -56997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (-12 - 11 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1159559 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 22 - 2. Suppose -p - f = 4*p. What is the biggest value in 2, 0.3, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 - -11. Let v be 4\/l + (-150)\/(-35). Suppose 5*u = -c + 26, 0 = 3*c - 2*u + 6 + 1. What is the greatest common factor of c and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 2*g + 32*g**3 - 4 + 6*g**2 + 30*g**3 + 0 - 57*g**3 to v*g**3 + x*g + i + a*g**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8791175 divided by 76445\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -k**7\/7 + 287*k**6\/30 - 128*k**5\/5 + 277*k**4\/12 - 23*k**3\/3 + 122*k + 3. Determine t so that z(t) = 0.\nAnswer: 0, 1\/3, 1\/2, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -153, -165, -177, -189, -201, -213?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2506 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*d - 118*d + 12*r + 13*r = 178, -3*d - 4*r + 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/3 + 5 + 4\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -10. Let n(l) = l**4 + 4*l**3 - l**2 - 4*l. Let v(c) = c**4 + 3*c**3 - c**2 - 3*c. Let k(a) = b*n(a) - 3*v(a). Factor k(x).\nAnswer: -x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*p**2 - p**4 + 33*p**2)*(-4 - 3 + 4) - p + p + 2*p**4.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3 - 2*r**2 - 4*r**2 + 2*r + 6*r**2.\nAnswer: -2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hnbh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 0.4, 1, 1\/28, -3 in decreasing order.\nAnswer: 1, 0.4, 1\/28, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31\/2 + 14. Let s = 7 - 10. Which is the nearest to 1?  (a) -0.3  (b) w  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**3\/3 + 3085*d**2\/3 - 184605*d + 7654365.\nAnswer: -5*(d - 279)**2*(d - 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((4*(sqrt(175) - 3*sqrt(175) - (sqrt(567) + -2)))**2 - (-6*(sqrt(448)*4)**2 + 5)).\nAnswer: -2432*sqrt(7) + 166998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-3))**39)**(3\/35)*(p**(-4)\/((p\/(p*p**(1\/6)))\/p))**(-11\/6) assuming p is positive.\nAnswer: p**(-6091\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 383 a factor of 4102222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - p = 8. Suppose p*s - 5 = 3*s - t, -2*s - 5*t = 5. Let o = s + -7. Solve x = -5*f - 2*x - 34, 0 = -o*f - x - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n\/n**(-37))\/n*n)*n*n**(2\/125))\/(n**(-12))**(-38))**(-18\/13) assuming n is positive.\nAnswer: n**(1106964\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 212, 256, 300, 344, 388?\n\"Answer: 44*z + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -173\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -330021311 - 13313?\nAnswer: -330101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(14\/2163)*(-16)\/474. Let l = u - 18953\/4740. Find the common denominator of -71\/18 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of n**6\/120 + n**5\/12 + 7*n**3\/6 + 3*n**2\/2 - 3*n. Let a(l) be the first derivative of q(l). What is a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 r, and 1 k when three letters picked without replacement from {r: 7, j: 1, k: 7, o: 1}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 748\/17*69\/(-6). Let u = 4556\/9 + h. Sort -12, u, 0.04, -4.\nAnswer: -12, -4, 0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aay when three letters picked without replacement from yyyyayyyyyyyyyayayyy?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 8 = -u, -3*l + 2*u = -7 - 13. Let y = -1 + l. Suppose -y*a = -a - 42. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12, -22, -44, -78, -124, -182, -252?\n\"Answer: -6*m**2 + 8*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*y + 12*y + 8*y - 12*y**3.\nAnswer: -12*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12738 + -10717. Calculate the highest common divisor of a and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 0.7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2477 - -2475. Which is the nearest to 1?  (a) 0.2  (b) 43  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -349166608810.\nAnswer: -349166608810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 763 = -5*y, u - y + 0*y = 265. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1248 and 9723792.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -2)\/((-32)\/(-12)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - 24*g**2 - 23*g. Let j be d(-23). Let h be ((-343)\/98)\/((-14)\/16). Solve j = 3*m + s + h, -5*m = -3*s - 5 + 21 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001237788367 rounded to 7 dps?\nAnswer: 0.0012378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -74*h**2 - 5*h. Let j(w) = w**2. Let n(b) = -2*j(b) + p(b). Let q(y) = -153*y**2 - 9*y. Let o(z) = 7*n(z) - 4*q(z). Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3515 and 372590.\nAnswer: 372590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 82 + -71. Solve 3*k - 4*f = y, 5*k + 2 = k + 2*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, i: 3, u: 4, t: 2}. Give prob of picking 2 u and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2093*h**2 - 75*h - 75*h + 544*h**2 + 152*h.\nAnswer: -1549*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g - 7. Let c(h) = -h + 4. Let q be c(11). Let x be i(q). What is the highest common divisor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/991900 and 66\/7085.\nAnswer: 991900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11703129 to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - 0)*8\/(-10). What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 7*q. Let t(m) = -2*m + 2*m + 0*m + 5*m. Let n(o) = o. Let x(g) = 33*n(g) - 6*t(g). Determine k(x(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -1\/3, 672853.2, 6 in decreasing order.\nAnswer: 672853.2, 6, 2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -12*p**2 + 67*p + 35. Calculate c(16).\nAnswer: -1965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14213a (base 11) in base 12?\nAnswer: -a8889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 326 - 322. Suppose -s*q = -1566 - 654. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -2\/5, 5, 0.2, -0.028?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 46810 divided by -31\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 102\/(-27) + (-6)\/27. Put 1, 5, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**3 + 165*y**2 + 262*y - 840. What is p(84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**5\/3 - 288*y**4 - 290*y**3 + 4328*y**2\/3 - 865*y = 0. Calculate y.\nAnswer: -3, 0, 1, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3233995652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ec when two letters picked without replacement from ceqrefcv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0341 - 0.0041. What is the closest to -2\/5 in l, 2\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ltjwl. Give prob of picking 1 t and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**2 - 11*a**2 + 2*a + 8*a**2 to the form b*a + o*a**2 + i and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 677 = 2*n - 1483, -5*f - 2*n = -2700. Is f != 539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -339, -496, -653, -810, -967?\n\"Answer: -157*d - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 14\/(-7)) + -5. Let j(n) = n**2 + 1. Let l(w) = w**3 + 5. Determine h*j(d) + l(d).\nAnswer: d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-135)\/(-378))\/5)\/(1\/4). Find t, given that 0*t + 0 + m*t**3 - 2\/7*t**5 + 0*t**4 + 0*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 + 34. Let i = -7 + 11. Suppose n = -3*x - i + 13. Which is the biggest value?  (a) x  (b) -0.1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(1\/3)\/f)\/f)\/(f\/(f\/f**4)*f))\/(f**(-1)*f)**(-46\/5) assuming f is positive.\nAnswer: f**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-14) + 0 + 0. Let d = 94676 + -94675. Which is the closest to d?  (a) f  (b) 5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-34930)\/(-45) - (-2 + 20\/9) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 102 and 2074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 446, 974, 1502, 2030, 2558, 3086?\n\"Answer: 528*k - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2264189633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21.12 + 11.12. Which is the closest to y?  (a) -5  (b) -4\/3  (c) 0.3  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 261951123 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*h**2 - 43*h**2 + 134*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 13349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3584250 divided by 10?\nAnswer: -358425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 71*n = 70*n + 32, 5*x = -4*n + 23 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n, 1 h, and 1 o when four letters picked without replacement from {x: 3, n: 2, s: 3, o: 6, h: 4}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 7*g - 32*g**2 + 36 - 3*g**3 + 4*g**3 + g + 22*g. Let b be y(31). Solve -2*j + 7 = -b*u, 0 = j + 2*u + 3*u + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**2 - 18*s - 6. Let y(x) be the second derivative of -x**4\/12 - x**3\/6 + 16*x**2 + 19*x. Let i be y(-5). What are the prime factors of g(i)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - (9\/15)\/(-1))*-380. Suppose 70 = 2*j - 5*y, -d = j - 6*j + y. Suppose -j = -5*a + 2*a. Calculate the remainder when 17 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-66)\/36 - (-65)\/39. Let z be (-1)\/(-4) - (-3)\/4. Let y = 72.5 + -72. What is the nearest to z in u, -3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 divided by 4930788\nAnswer: -8\/1232697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of -7*b**4 + b**2\/2 + 138*b - 1. Let l(d) = -d**2 - 8*d + 6. Let y be l(-8). Let w(z) = -12*z + 8*z + y*z. What is x(w(r))?\nAnswer: -336*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57524?\nAnswer: 2, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 19347, 154793, 522429, 1238349, 2418647?\n\"Answer: 19349*u**3 + u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(2) + sqrt(18)*1 + -4).\nAnswer: -8 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 88760*h**2*l + 2*h**2 - 42*h - 24 wrt l.\nAnswer: 88760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 - 1 - 4 + 2 + 4 + (0 + 0 + 1)*(-2 - 4 + 4))*(x**4 - 3*x**2 + 3*x**2)*(-6*x - x - 5*x).\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*n - 53. Let b be (-25934)\/(-18) + (60\/n - 2). Suppose 2*t = -k + 1571, 5*k = -3*t + 905 + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 200148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10971, 21939, 32907?\nAnswer: 43875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 17 - 81 = 0. Suppose 5 + s = t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*w - 76 = 2*w, -w + 2 = 0. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1112?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3\/6026 + -114359\/271170. Let h = 1\/45 + n. Let r = h - 1\/10. Is 2\/5 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.7 and -91?\nAnswer: 154.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7.5 and -3.819?\nAnswer: 11.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/23 - 18\/(-2898)*-819. Which is the closest to -466\/5?  (a) -1\/11  (b) 0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0431 - 0.8611. Let v = 4.182 - l. Put 14, 15, v in decreasing order.\nAnswer: 15, 14, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 36287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-8))\/y)\/y)\/(y*y*y*y**(-4\/7))*y**(-3\/4)*(y**(-7)\/y)\/y*(y\/(y*y**(-2)\/y)*y)**(4\/9)*y**(-5)\/((y\/(y**0\/y))\/y) assuming y is positive.\nAnswer: y**(-6401\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -19*k**2 - 1. Let j(u) = 16*u**2. Calculate v(j(q)).\nAnswer: -4864*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1471 divide 428061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/32329 + 30638\/54668339. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 350118 divided by 1101.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-6))\/((-3)\/(270\/20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t**5 - 47076*t**4 - 1232073*t**3 + 869232*t**2 + 3062532*t + 1008288 = 0 for t.\nAnswer: -3112, -27, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11446.\nAnswer: 2, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 2:36 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z - 1. Let x be p(3). Let k(q) = 8*q + 0*q**2 + 0*q**2 - 5*q**2 + 4*q**2 - 1. Let m be k(7). Is m > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 221.93 + -222. Round n to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1030430 and -1.\nAnswer: -1030431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3  (b) -29  (c) -1\/3  (d) 227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 78 + q + 66 - 165. Let z be n(18). Suppose -3*o - 2*o + 5 = 0. Sort o, z, -5 in decreasing order.\nAnswer: o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 665673522 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*t**3 - 13*t**2 + 233*t - 2.\nAnswer: -18*t - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 209.35983ms?\nAnswer: 0.0034893305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/243 and 31\/11698.\nAnswer: 2842614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -20 - (-16 - (-13 + -11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 171*z - z**4 + 0 + 0*z**2 + 2\/3*z**3. Suppose b(h) = 0. Calculate h.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 5) to base 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5429687548.\nAnswer: 2, 1357421887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 + 0*j**2 + 0*j**2)*(958 - 109*j**2 - 958).\nAnswer: -218*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8892*f - 12 - 4428*f - 4463*f.\nAnswer: f - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3*n + 13 = 0, -3*o - 3*n - 40 = -61. Solve -2*g = 5*v - 23, -3*v - o*g + 7 + 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-66)\/55)\/((-6)\/20). Suppose 5*h + s*n - 2 = 6, 2*h - 2*n = 14. Suppose 0 = -y + h*y - 18. What is the remainder when 8 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/75 - 2*1\/(-5)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/(-5)*(-10)\/6. Let b be (-10 + 0)*(-10)\/(-180)*-9. Solve -5*h + 13 = u, 2 - 1 = -b*u - c*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000029 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 4*x**2 - 7*x + 1. Let d be v(-6). Let w = 6697 + -47083\/7. Let y = w - d. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -96*r + 91*r + 35 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*y**5 + 474*y**5 + 118*y**5 + 994*y**5 + 3415*y - 1316*y wrt y.\nAnswer: 31440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10457 + -10344. Which is the closest to -1\/4?  (a) h  (b) -0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/2 + 179 + -178. Suppose -96 = -q - 3*q. Calculate the greatest common divisor of j and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26936*-3\nAnswer: 80808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 1 = 14. Suppose x = -2*v + 15, 5*x - 62 = -2*v + y*v. Calculate the highest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2350*d - 2356*d + 4707*d - 164)*(-5*d - 2*d + d).\nAnswer: -6*d**2 + 984*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*r**6 - 293*r**4 - 39*r**3 - 36389*r**2 - 31*r.\nAnswer: -960*r**3 - 7032*r - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*b**2*d**2 + 2*b**2 + 2834615*b - 10621*d**3 - 1 wrt d.\nAnswer: -6*b**2*d - 31863*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/18*-1)\/((-79)\/316)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 3*i = 286. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*l, -4*a - l + 1341 = 494. Suppose -3*v + 310 = -2*o, 0*v + 2*v + 3*o - a = 0. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16769135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5229336194138.5 take away 2?\nAnswer: -5229336194140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 432 - 424. Which is the second smallest value?  (a) 2\/15  (b) 0  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -537880, -537611, -537342, -537073?\nAnswer: -536804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*y - 20 = -14*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -33 in 1\/13, 0.11, 0.146?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 9) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -2. Let h = -4381 - -4380.7. Put -1\/4, h, 17\/3, s in descending order.\nAnswer: 17\/3, -1\/4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*s + 26*s = -256. Let x = 1 + 0. Solve 5*y = -x + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -628086501\nAnswer: -628086509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of -m**6\/60 - 11*m**5\/60 - m**4\/8 + 7*m**3\/6 - 5*m**2. Let d be n(-7). Suppose -6*x + d = -x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111 - -1011?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18281244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 65383068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0, -0.03, -290306, 3?\nAnswer: -290306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 53 in 9, 0, 14\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 812, 1621, 2424, 3215, 3988?\nAnswer: 4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1200 (base 3) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1599298, -1599565, -1599828, -1600087, -1600342, -1600593?\nAnswer: -1600840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u + 31. Suppose -v + 6 = -5*g - 15, 0 = -2*g + 4*v - 12. What is the remainder when 113 is divided by k(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 7:52 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2968, -5928, -8888, -11848, -14808?\nAnswer: -17768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from mmmmmppmmpmmmmmmmmmm.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1. Let i = -42 + 40. Let j(p) = p + 1. Determine i*o(x) + j(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**3 - 15*d**2 + d + 1. Let s be u(9). Let h = 259 - s. Solve 3 - h = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 207319991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a**3 - 21*a**2 + 6*a. Let j(k) = 4*k**3 - 14*k**2 + 4*k. Determine 8*j(p) - 5*t(p).\nAnswer: 2*p**3 - 7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3305.862049 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13691344 and 2.\nAnswer: 13691344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 11*p - 20. Let a(x) = 13*x - 18. Give -4*a(l) + 5*k(l).\nAnswer: 3*l - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24103729101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2461*y**3 - 76*y**2 + 15562106*y.\nAnswer: -14766*y - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 2*v + 3, -25*w + 23*w - v = -14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 343457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 148 - 19. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f*f**(3\/10)*f)\/(f**(-2)*f))\/((f\/f**(1\/2))\/f*(f\/(f\/((f\/(f**(-2\/13)\/f))\/f)))\/f*f))**10 assuming f is positive.\nAnswer: f**(474\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = -2*m. Let q be 6*m\/(-4)*2. Do q and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 169 - 176. Let h(o) = -19*o - 91. Does 7 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -4*f**5\/35 + 5*f**4\/7 - 8*f**3\/7 - 8*f**2\/7 + 32*f\/7 + 2. Factor n(p).\nAnswer: -4*(p - 2)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1458) + 1*sqrt(1458))**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**3 + 3*x**2 - 2*x - 2. Let m be d(2). Find the common denominator of 16\/27 and 9\/15 - 188\/m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.14814um?\nAnswer: 0.00000514814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (((-19)\/(-190))\/((-5)\/2))\/((-252)\/1890)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 14) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/125 and 33\/17125?\nAnswer: 17125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14817 is divided by 14717.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 43 - 44 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.9 and 28?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 31 + 7*p**2 + p + 9*p + 6*p.\nAnswer: 7*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3 = -l, 12*c = -3*l + 7*c - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence riu when three letters picked without replacement from iumuimimuqrqqmqu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/895 and 91\/20.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + -55. Let f = 6231 + -6230.8. Which is the second smallest value?  (a) -0.3  (b) -4  (c) f  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 13*f = -98. Solve 5*w - f - 3 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.881 - 30.881. Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -126, 5, 173950, 0 in ascending order.\nAnswer: -126, 0, 5, 173950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76320 and 70560?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1674, -6690, -15050, -26754, -41802, -60194, -81930?\nAnswer: -107010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4158 and 28917.\nAnswer: 636174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 40*x**2 + 40*x + 47. Calculate n(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 3. Suppose 57 = 4*z + 5. What is the remainder when 150\/4*2\/i is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 159177458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z + 257 = -2641. What is the highest common factor of 69 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z + 2 - 6*z - 18*z. Let x(r) = 7*r - 1. Let k(v) = 6*a(v) + 17*x(v). Determine k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79 - -111. Let l = k - 23. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2183 and -12.\nAnswer: 2.6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 3*b**4\/2 + 295*b**3\/2 + 3675*b**2 + 4450*b - 4644 = 0?\nAnswer: -54, -43, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/((-836)\/(-1232) + 3\/(-7)). Suppose -5*w + 5 = 0, -5*w - 2 = -4*m + 9. What is the greatest common factor of m and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4617*m**2 + 6*m - 30. Let x(q) = 15356140*q**2 + 19955*q - 99775. Determine 19955*a(l) - 6*x(l).\nAnswer: -4605*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3*b + 140 = 0. Calculate the common denominator of 214\/b + 2\/(-14) and (3\/18)\/((-3)\/264).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4 + (1 - 21\/(-9)))*-930.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/7, 1\/105, 6, 12, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 774091759645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -364  (b) -0.5  (c) -181573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 279354734 a multiple of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) - sqrt(243))\/sqrt(9)*3.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*4\/(-54)*(-297)\/1221?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.23 - 2.23. Put -4, 0.4, -0.4, p in decreasing order.\nAnswer: 0.4, -0.4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 2*n - 4, 14 = 5*n - 2*n + 5*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9624 or -9451?\nAnswer: -9624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115731.\nAnswer: 3, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(2)*6)\/sqrt(2))\/(((sqrt(84)*-2)\/sqrt(7))\/sqrt(2)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 115\/4 + -339\/10. Calculate the common denominator of f and 157\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*w - 1051 + 1007 + 412*w.\nAnswer: 481*w - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2628 + 3553 = r, 2*r + n = 12377. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131157 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: Simplify 1*4*(5*(1 + sqrt(468)*-2 - sqrt(468)) + 4*(-4 + -2*sqrt(468) - sqrt(468)))**2 + 2.\nAnswer: 14256*sqrt(13) + 1365174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 - g**2 + 2*g - 1. Let q(i) = 3*i**3 + i**2 + 5*i. Let k(l) = -f(l) + q(l). Let c be 34\/(-10) + 2\/5. Determine k(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6127 + -6134. Sort -11\/3, h, 0.\nAnswer: h, -11\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**2*w**3 + n**2*w**2 - 951*n**2*w - 61*n**2 + 629041*n*w**3 wrt n.\nAnswer: 2*w**3 + 2*w**2 - 1902*w - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 0.5  (b) 179  (c) -0.04  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k - 5. Let h(d) = -d + 3. Let y(o) = -5*h(o) - 3*j(o). Let b(v) = 40*v**2. Determine y(b(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 - (-110 - -29 - -28)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*m + m = -1418, -3*y + 2*m + 1415 = 0. Find the third derivative of 489*h**2 - y*h**2 - 26*h**5 - 3*h + 3*h wrt h.\nAnswer: -1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30 + 4110434?\nAnswer: 4111014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 29 and 17612\/611 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 328 = 4*q. Suppose -4*a = 5*u - 89, -4*a - u + q = -0*u. Let x be (-18)\/(-14) - 6\/a. Solve -2*b + 3 + x = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-30) - 21\/(-90). Let i = o - 10\/3. Calculate the common denominator of i and -23\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y**2 - 5*y + 5. Let d(o) = -3*o**2 + 2*o - 2. Determine -5*d(h) - 2*s(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x - 12. Let o(h) = -4*h + 37. Let p(u) = -7*g(u) - 2*o(u). Differentiate p(b) with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 4*v**2. Suppose -u - 3*m - 16 = -5*u, -3*u = -4*m - 12. Let n be 4\/(-2 - (-1 + -2)). Let q(f) = -n*f - f + u*f. Give q(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + m - 4. Suppose -3*k + 3*h = 0, 6*k - 4*k = -h - 9. Calculate v(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 282 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c + c + 3*c + 0*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/2 + (41 + -17 - 16)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 7*y**2 + y - 1. Let q be o(1). Suppose -2*c - q - 3 = 0. Let s(t) be the third derivative of t**5\/60 + 7*t**4\/24 + t**3\/3 + 7*t**2. What is s(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 11. Let d be x(-16). Let q(r) = r**2 - 2*r - 6. What is the remainder when 112 is divided by q(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -5\/432, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 60062*p**4 + 23265?\nAnswer: 240248*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8701*b - 1 - b**2 + 2563*b + 19423*b.\nAnswer: -b**2 + 30687*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 174107233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -28875 less than or equal to -28873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*w**5 + 265*w**4 + 585*w**3 + 465*w**2 + 85*w - 30.\nAnswer: 5*(w + 1)**3*(w + 6)*(6*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 155\/14 + -21\/2. Let z = -589\/2037 - -1\/291. Let a = -4.68 + 0.68. What is the closest to -2 in z, h, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 8 = 2*s. Suppose 5*v + 5*y - 70 = 25, 5*v = 4*y + 140. What is the highest common factor of s and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -258*u - 68*u + 88*u - 39*u - 231*u to the form n + t*u and give t.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 43915*q**2 - 4220?\nAnswer: 87830*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212 (base 3) in base 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*10\/30)\/(3\/(9\/(-31)))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 7*g**2 + 4*g - 8. Let j be s(-6). Solve -4 - 8 = -j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k**2 - 2. Let w(r) = -15*r**2 - 10. Let x(h) = -11*p(h) + 2*w(h). Let y be x(-2). Let i = 0 + y. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-2)\/(-2 + -3 + 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 20955*v - 4391000.\nAnswer: 5*(v - 200)*(v + 4391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j**2 + 2*j + 1. Let u be g(-3). Let o = -28 + 39. Solve 5*c + 0*c - u = 5*i, -o = 2*i - c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 1 = -x, 2*v - x - 1 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 636 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = 141 - 141. Which is the closest to -0.2?  (a) 2.1  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -138*s - 2066. Let a be n(-15). Solve a*d + 5*p - 17 = 13, -d - 5*p = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 + -246?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j - 2*j + 8*j)*(0*j + j - 2*j - j + 0 + 0 + (0 + 2 - 1)*(0*j + 3*j - j) - 12*j + 10*j + 11*j) in the form w*j**2 + y + b*j and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 805*l**4\/12 - 65*l**3\/3 + 28*l**2. Let k be p(23). What is k rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 0 - 2)\/(-4). Suppose -5*r + 3*s - 69 = c, -12 = -3*r + 4*s - 49. Is (-4 - -3)\/(1\/r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176.1 - -0.333.\nAnswer: 176.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 6*d. Let l be h(-5). Let p(b) = 4*b + 2. Let u be p(2). Calculate the greatest common factor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -56*c - 48 - 81*c + 0*c - 72 - 171 - 3*c**2 wrt c.\nAnswer: -6*c - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 42135252011?\nAnswer: -42135252003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/2*1*8. Let j be 8\/f - (-3 - -1). Suppose -5*x + 7 = j*o - 3, 2*x = -5*o + 4. Sort 4, x, 5 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1304*x**3 + 3*x**2 + x - 3. List the prime factors of h(-1).\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) -25  (b) 3  (c) 372  (d) 4  (e) -3\/7  (f) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**3 - 11*y**2 - 7*y - 12. Give l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55126 is divided by 1970.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -117 + 80. Let v = 47 + q. What is the remainder when 17 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 11:44 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 4*t - 25 = 2*c, 4*c + 3*t - 11 = 0. Let r = c - -5. Find the first derivative of -2*k**r + k**4 - 1 + 3 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 105*g**3 - 8*g**4 + 2*g**2 + 2*g**4 + 5*g**4 + 7*g - 101*g**3 in the form o + c*g**4 + a*g**3 + q*g + u*g**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -351 = -7*u - 197. Suppose -64 = -2*l + 4*g, 17 + 125 = 5*l - g. Calculate the lowest common multiple of l and u.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 28 + 62 = 0. Let l be 6\/(-4)*d\/9. Let y = -4 + 7. Sort l, -5, y in ascending order.\nAnswer: -5, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 = 8*o + 135 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 7*f**2 - 7*f - 5. Let k be l(8). Find the third derivative of -3*q**3 + 6*q**3 + 0*q**2 + k*q**2 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y + 1. Let i(j) = -2*j + 5. Let r = 9 + -4. Let x(n) = r*z(n) - i(n). Let w(d) be the third derivative of d**4\/24 - 2*d**2. Determine w(x(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4802 - 3062. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**6\/10 + 5*y**5\/6 + 39*y**2\/2 - 22. Let l(c) be the second derivative of v(c). What is the third derivative of l(h) wrt h?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50008, 50004, 49998, 49990, 49980?\nAnswer: 49968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 9510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**3 + 7*k**2 - 2*k + 9. Let f be u(-4). Let p = 2\/635249 + -370985526\/34938695. Let d = 54\/5 + p. What is the biggest value in -0.5, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1507 - -958. Let m be 2*5\/(15\/s). What is the tens digit of 15\/10*m\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 4*l + 8, -2*l - 10 = -3*t - l. Let m(x) = x**3 + 2*x**2 - 2*x. Calculate m(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 20\/5)*(-6)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.05 + 0.05. Suppose -3*o + 1068 = 2*q, -5*o + 4*o - 4*q + 346 = 0. Let m = -3224\/9 + o. What is the nearest to 0 in j, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 7*p - 15 = 0. What is the remainder when 810\/99 - 2\/(-22)*-2 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -1 + 3*g + 4 + 2*g**2 - 1. Let f be w(-2). Suppose -255 = -6*h + h - f*i, -4*h + 193 = i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/11)\/(a\/(a*a\/a**(-3))))\/(a\/a**2)**(2\/129))\/((a*a**(-4\/3)*a)\/(a**(3\/4)*a))**(-4\/5) assuming a is positive.\nAnswer: a**(7662\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**3 + 5*d. Let h(f) = -f**3 + 3*f. Suppose 10 = 2*w - 10. Let t = 7 - w. Determine t*r(s) + 5*h(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1234126.\nAnswer: 2, 19, 47, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**3 + 67*r**2 - 36*r - 60. Let t be i(-34). Solve 6*d = 14 - t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4*7\/420)\/(3\/10). Factor 16\/9*s - u - 32\/9*s**2.\nAnswer: -2*(4*s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l + 1097. What is u(-19)?\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 28*x**2 + 5 - 37*x + 6 + 19*x + 20*x. Is j(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*o*p**2 + 106*o*p + 25*o + 3*p + 4 wrt p.\nAnswer: -4*o*p + 106*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 2*f**2 - 7*f + 2. Let p be n(-4). Let j(m) = 3*m**2 + 3*m + 8. Let u be j(p). Is 14 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 653076700.\nAnswer: 2, 5, 41, 159287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 3*z**3 + 31*z**2 - z - 7. Calculate the remainder when g(-10) is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127121 (base 8) in base 14?\nAnswer: 12397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*c - 7*c - 36*c + (2*c - 12*c + 9*c)*(3 - 3 + 2) + 0*c + c + 10*c to a*c + y and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*o - 1119 = 0, o = -21*v + 16*v + 1853. What is the least common multiple of v and 10?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*-4*(-7)\/(-56). Sort u, -15, -11.\nAnswer: -15, -11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 3*v + 49 = 0, -8336*o - 8188*o = -16377*o - v + 1473 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2509, -10030, -22565, -40114?\nAnswer: -62677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10270899, -10270883, -10270867, -10270851, -10270835?\n\"Answer: 16*y - 10270915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-748)\/(-20) - (-1080)\/(-300)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.05  (b) 4  (c) 2\/7  (d) -3  (e) -24\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -92.4111243 rounded to zero decimal places?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2 + 387291*d - 41862420 = 0.\nAnswer: -129205, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*d**4 + 39618*d**3 + 467029?\nAnswer: -36*d**3 + 118854*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31 - 12 + 595*s - 3 - 9 - 6 to x*s + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*x + 25, 18 + 1 = n - 4*x. Let u(l) = l**3 - 3*l**2 + 2. Let g be u(n). Differentiate 10*i**2 - 7*i**2 - 3*i**2 - 3 - 2*i**g with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -a**2 + 8*a + 0 - 1\/20*a**5 + 5\/12*a**4 + 0*a**3. Determine y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((0\/(-5))\/4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(891) + -1)*-4 - (sqrt(891) - sqrt(891)*2*-3))**2 - (4 + 1 + sqrt(891) + 1*-1*sqrt(891))) + 2.\nAnswer: -792*sqrt(11) + 107824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6897345 and 2472405?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3876 = -3*l + 4*g, 5*g = -5*l + 10652 - 4227. Is l a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 - -253\/5. What is the closest to 3 in -4, -8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/7  (b) 26  (c) 4  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3760 and 13360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 + 1. Suppose -4*v = u + 43, 7*v = 2*v + 5*u - 35. Suppose -5*p - 13 = -5*n - 48, 0 = -5*p - 2*n. Let y(h) = 6*h**2 + 5. Give p*y(z) + v*b(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 79*u**3\/3 + 2210*u**2\/3 - 56*u\/3.\nAnswer: u*(u + 28)*(79*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a - 8. Let n(m) = 1. Let u(y) = -k(y) - 5*n(y). Let r be u(-14). Suppose -4*j = -6*h + h - r, -4*j = h + 13. Put 5, 6, h in decreasing order.\nAnswer: 6, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -10*b**3 - 6. Suppose 4*c + 3 = -61. Suppose 1 = -3*u + 4. Let m(g) = -1 - u - g**3 - 2*g**3. Calculate c*m(t) + 5*x(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 4:17 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 42*t + 22572. Calculate u(-173).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7588 + 7588.07057. What is t rounded to 3 dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 161 + -1129\/7. Let n be 3\/(-12) - 4942\/520. Let m = 48\/5 + n. What is the third smallest value in m, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42.9 - 42.82. What is the closest to 0.2 in 46, z, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -0.081539499.\nAnswer: 0.0326157996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-4) + -4 - 462\/(-121). What is the nearest to -1\/4 in r, -26, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(4032) + (1 + sqrt(7))*-6 + 1.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 6, z: 4}. What is prob of sequence kzk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -58?  (a) 5  (b) -5  (c) 3  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 - ((-6 - -1) + 5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 35347 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -105*i - 826. What is r(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 18, 27, 38, 51, 66, 83?\n\"Answer: u**2 + 6*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 9:16 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/15 + -1\/3. Let r = -2.1 + 0.1. Let x = r + 0. Put h, 0.4, x in descending order.\nAnswer: 0.4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t - 75*t + 37*t + 22*t + 29*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 - 64. What is the lowest common multiple of d and 14*(4\/42)\/(26\/(-4368)*-7)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 320 + -1279\/4. Put a, 2\/3, -32 in increasing order.\nAnswer: -32, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 5*x - 12. Calculate the remainder when 8 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 796 + -592. What are the prime factors of (-1)\/(-6) + 86258\/u?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -218, -14 in decreasing order.\nAnswer: 8, -14, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71728*j**2 + 143528*j**2 - 71746*j**2.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (22 - -1) + -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*f - 4*u, -3*f + 16 = -f + 4*u. Let y be (9\/6)\/(3\/4). Solve f = y*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -173, -159, -145, -131?\n\"Answer: 14*l - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -101 + 69 + (13 - 22)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 - 2)*(-80*v - 46*v + 37*v).\nAnswer: 534*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 85936031.57.\nAnswer: -85936031.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + z**2 - z + 1. Let v be d(0). Let a be 5\/v*(12 - 3). Let u = a + -27. Solve -w + 1 = -3*k - 4, -3*w = 2*k + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/686 and 34\/245.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 17 - 199 = z, 455 = 5*f + 2*z. What are the prime factors of f?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2*m + n + 139, -422 = -3*m + 2*n. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1614*p**4 + 2*p**2 + 43*p + 742218 wrt p?\nAnswer: 6456*p**3 + 4*p + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0*n + 25 = -4*n, -3*n = 0. Suppose 20*m - 21*m = -h. Solve 2*l = -3*b, -2*l - 2*b = -m*l - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) -1  (b) -2  (c) 1\/5  (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*v = -0*j, 2*v = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3*r**3 + 49*r**2 - 33*r + 6. Let j be p(-17). What is the nearest to j in 2\/3, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 235470?\nAnswer: 470940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 49, -0.5 in descending order.\nAnswer: 49, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5349 or -5366?\nAnswer: -5366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 - 39 - 103 - 44*a.\nAnswer: -44*a - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 105\/(-63)*(-2)\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k. Let q(o) = 2*o**2 + 112*o - 100. Let u be q(-57). Let j(l) = -16 + 51 - u - 24*l**2 - 21. What is j(t(g))?\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3285 (base 15) to base 4.\nAnswer: 2213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 3)*(-356*j**4 + 715*j**4 + 713*j**4) to the form i + k*j**2 + x*j + f*j**3 + m*j**4 and give m.\nAnswer: 2144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.056344 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28553 + -85657\/3. Factor 10\/9*q + 1\/3*q**2 - a*q**3 + 1\/9*q**4 + 0.\nAnswer: q*(q - 5)*(q - 2)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -37\/58935 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27 + 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111001101 - 1001111001010010?\nAnswer: -1010110000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13474777 (base 8) to base 11\nAnswer: 17a0469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-112) + (-2)\/16)\/(10\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1739 + 1486. Which is the second smallest value?  (a) 5  (b) k  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 170609760 by 592395.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 (base 10) in base 11?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*h + 38*h = 1890. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12631.\nAnswer: 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -x**3\/4 - 1472*x**2 - 8673021*x\/4 - 8661249\/2 = 0.\nAnswer: -2943, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52405*n - 52405*n - 1 - 383*n**2.\nAnswer: -383*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1\/3, -0.1, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 5*g + 40, g + 2*g - 8 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1506896*h**2*m**3 + 5*h**2*m - m**3 + 129*m**2 + 1152 wrt h?\nAnswer: 3013792*h*m**3 + 10*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {t: 2, g: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11222 (base 3) to base 16.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 3*w = 7, 0*x + 4*x = 4*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(u + 2*u - 2*u)*(-2*u - 3*u - u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(55)\/(sqrt(45)\/sqrt(9))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4698*p**4 - 27*p**3 + 230736*p**2 wrt p.\nAnswer: 112752*p - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*a = 109, 0*k - 3*k + 4*a + 115 = 0. Let i = k - 58. What are the prime factors of i\/(-3) + -5 + (51 - 1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*l**3 + 10*l**3 - 23*l**2 + 19*l**2.\nAnswer: -87*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.035 - 1.535. What is the closest to 2 in 1\/4, -1, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114539\/1330 + -1655\/19. Let k = m - -9\/7. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 566309128?\nAnswer: 2, 7, 11, 23, 39971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 360 = 91. Let q = z - 5. Suppose 5*v - v = 4*i + 40, -v + 4 = 5*i. What is the greatest common factor of q and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, j: 3, c: 3, u: 1, r: 2, q: 7}. What is prob of picking 1 c and 1 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 10*w - 32. Let c be j(-6). Suppose 2*h + 90 = -c. Sort h, -0.3, -5 in decreasing order.\nAnswer: -0.3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 50404 + 923?\nAnswer: 51127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*j + 1301 = 71*j. What are the prime factors of j?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 217569426\/1096 + 9\/(-4). What is p rounded to the nearest 1000?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.092?  (a) 1  (b) -0.2  (c) 1\/2  (d) -4\/3  (e) -1\/40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 5\/4*g + 11\/8 - 1\/8*g**2 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4135, 8283, 12457, 16669, 20931?\n\"Answer: 2*c**3 + c**2 + 4131*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 1\/1) + 2. Let t(f) = 17*f. What is the tens digit of t(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/8 or -81123?\nAnswer: -81123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*c - 87*c = -2*z + 10, -5 = -4*c - z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9360 and 51012.\nAnswer: 1020240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 9:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -0.17314467361.\nAnswer: -1.82685532639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99142 + 42339 - 158477 = 2526*a - 654*a for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 438 + -259. Suppose 5*r - i = 166. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.742 + 0.7682. Let r = -0.0738 - m. What is the closest to -4\/5 in r, 1\/3, -5, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/3 + 15292*k\/3 - 58461316\/3.\nAnswer: -(k - 7646)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -69*i + 115. Let k be j(2). Let o(h) = -23*h + 1. Let v be o(-1). Let n = v + k. What is the highest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2967.7 + -2968. What is the fourth smallest value in 1\/3, -3\/4, j, 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(1344)*-2)\/(-3*(sqrt(42)\/sqrt(6) + sqrt(7)))*-5)*2 + 1.\nAnswer: -80*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -6230000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2842541023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 34*z - 513, -31*z + 5*o + 0*o - 30 = -32*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 88*i - 39*i - 52*i. Let h(r) = -5*r. What is h(d(f))?\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 + 469*t + 4119*t**4 + 2*t**2 + 6*t**3 - 469*t + t**2 - 4118*t**4 as l*t**4 + p*t + q + b*t**2 + c*t**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen ninths of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 9)*12\/(-14). Let g be p + -9 + (0 - -2). Let c = 1450 + -1464. Is g at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -210 + 310. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 2. Let w = -4.1 - -4. Suppose 5*g = -26*y + 29*y + 15, -2*y = -4*g + 12. Which is the third biggest value?  (a) h  (b) w  (c) g  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33\/(-18))\/11*592\/222.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -1035?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**43)**(-3) assuming h is positive.\nAnswer: h**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 c when three letters picked without replacement from lcullclcllllc?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34 + 7*d + 65 - 38 to the form x + y*d and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/10 and 75\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4b - 1d3c?\nAnswer: -1d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**4 + 5*i**4 - 7 - 4*i**2 + 3*i**2 + 3 to the form s*i**4 + t*i + d*i**2 + f + r*i**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 674374461 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = x. Suppose x = f - 3*f + 4. Suppose 2*s + 7 = 3*l, -7*s = -l - f*s + 11. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-4))\/(c*c**(-1\/5))*((c*c**(-1))\/c)**(-49))**(3\/16))**(-35) assuming c is positive.\nAnswer: c**(-2793\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -15.5. Let p = 2 + y. Let g = -468 + 471. What is the closest to 1 in -5, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*c - 24. Let p(d) = -d + 3. Let u be p(-3). Suppose 2*t - 30 + u = c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*1103.352\nAnswer: -4413.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9673373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 less than 317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 372634903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 + -58 - (3 + (14 - 23 - (3 + 0))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Let z = k - -2. Suppose l - z*l + 17 = 2*h, -l - 5 = -2*h. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2. Let t(z) = -53*z**2 - 117*z + 1. Give t(q(o)).\nAnswer: -53*o**4 - 117*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*d + 45 = 32*d. Calculate the remainder when 48 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u = -36 + 9. Let b(h) = -10 + h - u*h**2 - 3*h - 3*h - 2*h. Let q(z) = z**2 + 2*z + 3. Let t be (-22)\/6 - 2\/6. Give t*b(d) - 14*q(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 + 31. Let a(d) = -d**2 - 13*d - 7. Let h(i) = 2*i - 4. What is the remainder when a(b) is divided by h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 27*g - 28. Let m be w(1). Let p(b) = b**3 + 4*b**2 + b + 3. Let x(c) = c**2 + 1. Let n(i) = -p(i) + 4*x(i). Let r be n(1). Are m and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and -3.371173.\nAnswer: -7.371173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102279 and 1975746?\nAnswer: 653971926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 times 2149?\nAnswer: 137536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from rsgrswgq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4573, -34852, -117043, -277102, -540985, -934648?\n\"Answer: -4326*y**3 + 3*y - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-10815)\/(-20188)*(2\/5)\/(-1)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 - -48. Solve 0 = o*i - 12, q + 4*i = -2 + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 870 divided by -290\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 32.52133 or -0.4?\nAnswer: 32.52133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/12)\/(315\/210). Which is the closest to 0?  (a) y  (b) -1  (c) 33\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 6. Let f be p(-4). Let x = 0 - f. What is the third derivative of -3*y**4 + 3*y**4 + y**4 - y**x - 2*y**2 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*k + 150*k - 912 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2929, -7, -52 in decreasing order.\nAnswer: -7, -52, -2929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4246680 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 14 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21184814 rounded to the nearest 100000?\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = u - 1182. Let r be 4\/((-3)\/u*-4). Let t = -230 + r. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2368*h*y - 3*h - 26244*y wrt h.\nAnswer: 2368*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -75?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4418510 is divided by 339885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 2*t**2 + 3*t)*(-19*t - 13*t + 24*t + 2)*(4 + 0 - 3).\nAnswer: -16*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -138941 by -12631.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 249 = 96*d - 13*d. Solve d*w = 4*s - 10 + 6, -4*w + 2*s - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -15279*d**2. Let h(g) = -1390*g**2. Give h(w(f)).\nAnswer: -324492498990*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.302 + -2.202. Let m = -8 + 8.5. What is the nearest to d in -3\/2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160 - 206 = -118*l - 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -314 + 119. Let y be ((-241488)\/o)\/((-2)\/(-625)). What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422 - 461 = -123*b + 2544 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -14*d**2 - 36*d - 10. What is w(4)?\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47393261.\nAnswer: 47393261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*a = 5*v - 41, 5*v - 48 = -4*a. Suppose 2*t = a*t - 95. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 5)*(-2*c + 0*c + c) + 4 - 4 - c + (-3 + 3 + c)*(0 - 4 + 2) + 5 - 5 - c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/2 - 834947*i\/2 + 2087380.\nAnswer: -(i - 5)*(i + 834952)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = a + 12. Let i = a - 5. Let m = 16 + i. Calculate the remainder when 40 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 154\/1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 31 - 86 = 0. Let l = -5 + 13. Suppose -n = l - 20. Solve -s = 3*p + x, -p = p + 3*x + n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 3*i**2 + 31*i + 75. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -29069510.72 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -115364979 divided by 3?\nAnswer: -38454993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26327 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*s - 28 = -280*s + 212 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -2*y**3\/3 + 17*y**2\/2 - 29*y + 64. Let q be s(6). Let k be ((-5)\/3)\/(3\/9). What is the closest to q in k, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, v: 1, y: 1, z: 1, l: 2, c: 1}. What is prob of sequence lyvl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 114\/551*(-2)\/8*50\/(-25)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 6*k**2 + 4*k - 15. Calculate the smallest common multiple of o(-7) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4, -1, 36, 125, 284, 531, 884?\n\"Answer: 3*z**3 - z**2 - 15*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j\/(j**(-1)*j)*j)))**(2\/25)\/((j\/(j**5\/j*j*j))\/(j\/j**4)))\/(j**(1\/4)*j\/(j*j**(-2\/15))*(j\/(j*j**(-3\/4)*j))\/j**4) assuming j is positive.\nAnswer: j**(452\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 - (-2 + 10 - 11) - 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.09 and -0.0124.\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of f**4\/12 + 17*f**2 - 7531*f. Let x = -1 - -1. Let v be s(x). What is the highest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -7*v**2 + 74*v + 6. Let l be t(6). Let w = -80 - -201. Suppose g + w + l = 0. Round g to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 0 + 15. Let p be (-8)\/(-20) + (-12999998)\/k. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from {r: 8, l: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 4*4\/(64\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52097.52m in micrometers?\nAnswer: 52097520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3 + 27 = 0. Let h be (30\/100 - 2\/(-10))*c. Let l = 10 + -6. Is h greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70185, 70079, 69967, 69849?\nAnswer: 69725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 460513.\nAnswer: 17, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22642 (base 11) to base 4.\nAnswer: 13333030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -a + 8. Suppose -2*x - w - 10 = -4*x, 4*x + 8 = -5*w. Suppose 0 = -x*l + 18 - 3. Calculate the lowest common multiple of l and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 2) + (77 - 68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 28*o + 448. Let d be v(-16). Which is greater: d or -7\/607?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of 11\/120*y**6 - 1\/210*y**7 - 46*y - 2*y**2 - 11\/15*y**5 + 19\/6*y**4 - 8*y**3 + 0. Solve r(q) = 0.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-12))\/(3\/(-45)). What is the third biggest value in 1, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 9370?\nAnswer: 28110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/8*(0 + (-24)\/(-21)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 771217109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*((-4 + sqrt(612) + 1 - 5*(sqrt(612) + sqrt(612) + -1 - sqrt(612)))**2 - -3*(sqrt(612) + -1 - sqrt(612))**2*4).\nAnswer: -294240 + 2880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -95756 times -0.0151\nAnswer: 1445.9156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -5. Let f(t) = 5*t - 7 + 2*t - 3 - 6*t. Calculate the least common multiple of w and f(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2 - 62*m - 1324. Give k(-16).\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -150\/7*k**2 + 6\/7*k**4 - 24*k + 0 + 24\/7*k**3.\nAnswer: 6*k*(k - 4)*(k + 1)*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6998.8254 take away 5?\nAnswer: -7003.8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 13 + -22 + 23 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14d607 (base 14) to base 13\nAnswer: 1c6695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**4\/12 - 2*h**3 + 6*h**2 - 10*h. Let c be t(15). List the prime factors of c\/(-4)*48\/(-18).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 257 - 258.67. Let k = -1.8 - p. Let c = 0.130037 + k. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 26.7, 3, 0.25773, -0.4?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 - 4*z**2 - z - 2. Suppose 14 = 3*w - c - 9, 5*c = 5. Suppose -i = -4*s + w, 4*s = 2*i + s + 11. Calculate l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - y**2 - 5*y + 268. Suppose 12*a - 8*a = 0. What are the prime factors of j(a)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 6*v - 2. Let j be n(-9). Suppose -j = 2*o + 3*o. Calculate the common denominator of -103\/22 and (-4)\/o - (-1161)\/630.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f + 14 = o - 2*f - 34 - 5, 2*f = -5*o + 6*f - 47 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -6*s + 597. Suppose 2*n - 12 = 2*q - s, -2*q = 4*n - 112. What are the prime factors of (q\/(-3) + 2)*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -606614, -606614, -606612, -606608?\nAnswer: -606602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 - 3.9. Let r = c - -4.2. Suppose h = 6*h + 20. Sort -1, h, r.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3289058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6391, 7221, 8051?\nAnswer: 8881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.51 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and -205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**2\/9 - 37684*c\/9 - 177510482\/9 = 0.\nAnswer: -9421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 112*k**3 + 434*k**3 - 112*k**3 - 196*k**3.\nAnswer: 14*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(405) - sqrt(405)) + -2 + sqrt(5) + 2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/330763 and -37\/181240?\nAnswer: 13230520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - 6*t + 2. Let b be z(6). Suppose 7 = -n + b*n. Let q(a) = 3*a + n + 4*a + 3*a - 6. What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1049 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + 2)*-5 + sqrt(343) - (4 + -1 + sqrt(343)) - (-2 + (sqrt(175) + -2)**2 + -1).\nAnswer: -189 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 420303 (base 7) to base 14.\nAnswer: 1c43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49776*a**2*q**5 - a**2*q + 2*a**2 + 1543*a wrt q.\nAnswer: -995520*a**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -553*a - 3408 = -1316*a + 621*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121 - 123 - 221 - 10*c + 579 - 114.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24319 and 586?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 26. Let c = -14 - u. Let l = c - -6. Sort 0, 3, l.\nAnswer: 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5263 + -2327. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -2*r - 1\/2*r**2 + 3. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 957.933 rounded to 0 dps?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 - -121. Let c be (0 + -24)\/((-21)\/56). Suppose -c = -x - 3*x. Calculate the highest common divisor of l and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - -916.28681385?\nAnswer: 916.78681385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 16431462.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.5*30.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718 is divided by 115?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -224 + 220. Put 5, l, 1 in descending order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2977.4 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 - m**2 + m**2 + (-3 - 2 + 6)*(3*m**3 - 3*m**3 + m**5) + 2*m**5 + 2*m**5 - m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -793 - -14279\/18. Find the common denominator of c and 155\/22*3\/(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((42\/10)\/7)\/(8\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3850578 to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 59 + 1b0?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -5, -2, -7, 0.3 in ascending order.\nAnswer: -7, -5, -2, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -16 + 1 + -18213 + 18253.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1372)\/(-490) + -6 + 0 + 1 - 1022\/(-2555)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7695 less than or equal to -3226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 62, 56, 40, 8, -46, -128, -244?\n\"Answer: -y**3 + y**2 - 2*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6\/49 - 16\/931. What is the third biggest value in a, -2\/3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-17)\/i**11)\/(i*i**(-4\/3)*i*i*i\/(i\/(i\/(i*i**(-14))))) assuming i is positive.\nAnswer: i**(-131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 884334263?\nAnswer: 61, 139, 104297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3\/2 - 84*(-6)\/(-48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - (-221)\/(-13))\/((-11)\/110).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4064.61 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**8\/(c**(-2\/3)\/c)*(c*c**(-4)*c)\/c**(-6) assuming c is positive.\nAnswer: c**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 21*u**2 - 346*u - 1236. What is b(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 11001110111?\nAnswer: 11001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, x: 2}. What is prob of sequence xc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3658 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 693861 and 266.\nAnswer: 1387722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 300 is divided by 2\/(7\/371*2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 688 is divided by 272?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.70717514 and -315.1.\nAnswer: -323.80717514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (268*f**3 - 549*f**3 - 293*f**3)*(-3 + f + 3) to p*f**3 + b*f**2 + q + n*f + o*f**4 and give o.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 0 + 0*m**3 + m + 0*m**4 + m**2 - 1\/30*m**5. Let a(h) be the first derivative of i(h). Factor a(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74707049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 215038 - 215392.14424. Let k = 0.04424 + v. Let p = -337 - k. What is p rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -5*q + 2. Let n be v(1). Let d be (-2 + (-4)\/(-2))\/n. Suppose d = 4*c + 5*l - 23, 5 = 4*l - 7. Solve 3*h - 5 = -c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 3896888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*b + 24 = 0, -2*d + 4*d + 5*b - 58 = 0. Suppose 27180 = -d*w + 52*w. List the prime factors of w.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/12 + 18\/27. Let x = 25\/4 - 6. Which is the closest to 1\/2?  (a) x  (b) -2\/7  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 5:00 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.773 + 8.77234096. What is p rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/2576 and -149\/672?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9*3\/1053)\/((-8)\/3 - -3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -128 - (-7 - (4 + -10 + -3 - -10))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21177 is divided by 1670.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -252.5 - -254.874. Let z = y - 0.384. Let f = z - -7.71. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139 - 213 - 499 + 11*u**3.\nAnswer: 11*u**3 - 851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3011 (base 6) in base 11?\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -705292 divided by -4\nAnswer: 176323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.69 - 198280108?\nAnswer: -198280129.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**2 - 1 + 1. Let j(t) = 5*t**2 - 9 + 9. What is c(j(r))?\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l + 5. Suppose 5*f + 11 + 50 = -2*b, 2*b + 26 = 2*f. Let o = b - -13. What are the prime factors of z(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/(-7) + 0)\/1. Suppose -z - z = o, -2*o = -5*z. Let d = 23 - 18. Sort c, o, -0.5, d in descending order.\nAnswer: d, c, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 3:57 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1992\/(-5976)*6\/56)\/((-9)\/12 + 1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + b = 0, 3*b + 20 = 5*o. Suppose 32 = 2*u - 2*m, 2*u - o*m - 25 - 7 = 0. What is the greatest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2. Let g(d) = 3*d**2 - 2*d. Let f(x) = 11*x**2 - 9*x. Let b(i) = 2*f(i) - 9*g(i). Give q(b(p)).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, f: 9, z: 2, c: 7}. What is prob of picking 2 i, 1 f, and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122305 - 3*w**2 - 122305.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 5\/2*k**2 - 134 + 0*k. Let z(a) = -22*a**2. Calculate g(z(u)).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 166 = -190 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29566 - -29562. What is the nearest to 0.075 in -2\/11, f, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -2. Let i = t - -2. Let h = -0.3 - -0.2. Which is the third biggest value?  (a) -4  (b) i  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 65.73591 days?\nAnswer: 5679582624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 794*a + 691 = 6946 + 4861 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.72 + -0.28. Suppose 5*u = 13*u. Let x be (-1)\/15*3 + (u - 0). Which is the nearest to 3\/7?  (a) x  (b) 2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -9b8000?\nAnswer: 9b7eea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1888781.\nAnswer: 457, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y + 6. Let m be t(-3). Let s(z) = -z**3 - 11*z**2 + 18*z - 4. Let o be s(-13). Let l be 20\/(-6)*(-360)\/o. Solve m = 4*b - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 11110111001110111000 (base 2) in base 14?\nAnswer: 1c5092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2193752 is divided by 929?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30866724 by -3429636.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15949738 by -1139267.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 191 - 188. Suppose p = -0*p + 39. Suppose p - 3 = 2*g. Solve 4*i - 3*z + z = -g, 3*i + 4*z = k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (60\/54)\/((14\/(-9))\/(-7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*j + j - 2*j)*(-5 + 3 + 1) + (-5 - 4 + 6)*(-4 - 4 + 1)*(4*j - 3*j - 3*j) as m + o*j and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 5*m = 34, 3*c - c + 2*m = 4. Let t(r) = -r**3 - 2*r**2 + 4*r + 4. Let a be t(c). Let q = 0 - 5. What is the closest to a in -1, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14219+42\nAnswer: 14261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 2\/3*u**3 + 5*u**2 + 0 - 1\/12*u**4 + 0*u. Give c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3944 divided by -8.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -94 + 93 - (5 - (31 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 508 and 47.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4798806 by 6.\nAnswer: 799801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from tyytmmyttaammy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -376229 (base 10) to base 5\nAnswer: -44014404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 25 = -2*u, -120 = 5*v + 5*u. Let r = v + 35. Suppose -5*q - 128 = -3*p, q - 48 = -5*p + 4*p. What is the remainder when p is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3711*z**3 + 7426*z**3 - 3714*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(19)*-1 + sqrt(19) - (-2 + 2 + sqrt(19))**2)*-6.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20680 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*f**3*j*t + 7*f**3*t - f**3 + 7*f*j*t with respect to j.\nAnswer: -16*f**3*t + 7*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -99275\/24 + 4138. What is the common denominator of t and -23\/162?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 79333*o. Let n(q) = -q. What is r(n(w))?\nAnswer: -79333*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*d - 276 = -209 + 548 + 303 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(5 - 1 - 24\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7361450729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t - 26. Let w be c(-5). Sort -2, w, 2 in increasing order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-24)\/(-10))\/((-30)\/(-375))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 2*l = -42 + 24, -3*a - 3*l = -9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 1. Suppose 0 = -s*g - 5*g - 25. Let q(r) = -6 - 6*r + 2*r + 2*r. Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*r, 4*r + 7 = -5*a - 0*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1841 and -2916572.\nAnswer: -2916572.1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1290420 by -963.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 11 = b, 5*b + 11 = 1. What is the units digit of u*(-3)\/(-9) + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5 + -1*(sqrt(19) + -2) + -2)**2.\nAnswer: 40 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*((sqrt(1815) + sqrt(1815) + 2*sqrt(1815))*5 + sqrt(1815)))\/(4*sqrt(20) + sqrt(5) + sqrt(5) + sqrt(40)\/sqrt(2)))**2.\nAnswer: 444675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 3*o + 5. Let u be j(-3). Suppose u*n + 6 = 8*n. What is the third derivative of -4*h**6 - 83*h**n + 94*h**2 - 3*h**6 wrt h?\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -36 + 38 - -27\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 3587*t - 7591020. Calculate s(1494).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12643514 to the power of 1\/2, to the nearest integer?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 37*y - 103*y - 36 = -30*y - 35*y, -5*j = -2*y - 73 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -4769*t + 4777*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-0.49\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -112 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000111245 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3331 - -3326.1156. Let k = x - 0.1156. Let b = -12 - -37\/3. What is the closest to b in -2, -5\/4, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 6 - 14 = 0. Suppose -10 = -5*t, -4*t = -3*g + n*g - 11. Let v(q) = -q + 1. Give v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 4*d**3 + 2*d**2 - 3*d + 2. Let o(r) = -r**3 + 7*r**2 + r - 8. Let x be o(7). Let b(y) = 4*y**2 + y. Let v be b(x). Is c(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 6:17 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adphvdpazdvdhd. Give prob of picking 2 d and 1 z.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*v**3 - 7*v**3 + 3*v**3)*(-2*v - v + 0*v + (2 - 1 - 2)*(2*v - 2*v + v)) to the form l*v**2 + x*v**4 + s*v + t + w*v**3 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23483 + 34397. List the prime factors of r.\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -54b - 5?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -22032313 (base 6) in base 8?\nAnswer: -2404325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -277, 22 in ascending order.\nAnswer: -277, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*j + 3*j + 149, -5*d + 10 = 0. Let g(m) = -8*m - 3. Let b be g(-2). What is the highest common factor of b and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*l = -7*l + 33*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from cmpppmlamcwl.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226883 - 25402*t**2 + 2*t**3 - 226883.\nAnswer: 2*t**3 - 25402*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1691 = -g - 3*u, -4*u = -4*g + 3956 + 2888. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 814447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3667376 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -576*h - 2315. Let y be u(-13). Which is greater: 5174 or y?\nAnswer: 5174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 2669 + 2685 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 6. Find the third derivative of -4*w**5 - w**i - 40*w**6 + 4*w**5 + 25*w**6 wrt w.\nAnswer: -1800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*a - 158, -2*n + a = -301 + 20. Let r = n - 143. Let m be 4 + (r - -11 - 5). Solve -2 = 3*u + 2*g + m, -u + g - 4 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000096540763 rounded to seven decimal places?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -77*h**2 + 4*h - 149. Calculate l(5).\nAnswer: -2054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 82305 * -2.09.\nAnswer: -172017.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 4 + 2 + 1. Suppose 0 = x - 5*f - 1, -2*x + 5*f - 5 = -p*x. Solve -l + x = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/(-16))\/(21\/4144). What is the second derivative of 34*p**2 - j*p**2 + 5*p - 111*p**2 + 4 wrt p?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 5*n = 9, -1150*n + 4 = -q - 1147*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/2*(-8*95\/(-304))\/(24\/672).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12963 is divided by 149.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4*j + 92, p = -p - 3*j + 41. Let c be (-1 + 5\/(-2))*-2. What is the highest common divisor of c and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -569, -1266, -2159, -3242, -4509, -5954?\nAnswer: -7571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 87*k**2 - 995*k + 995*k + 5*k**2 - k**2 - k**2 + (2*k - 3 + 3)*(3*k - 8*k - k).\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 898984420.\nAnswer: 2, 5, 44949221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+48838.1\nAnswer: 48838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -203306*f**2*p - 22*f**2 + f*p + 191876*f - p wrt f?\nAnswer: -406612*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x**2 + x**2 - 12*x**2 - 2 - 4*x**2.\nAnswer: -8*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1669, -4261, -11303, -25021, -47641, -81389, -128491?\nAnswer: -191173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5949, 56079, 192165, 457185, 894117, 1545939?\n\"Answer: 7163*p**3 - 11*p - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 748.7187 centimeters?\nAnswer: 7487.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*j + 843 = -3*b + 840, -3*j - b - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2*k = -7*k - 43, -2*c = 5*k + 29. Let w(l) = -11*l - 70. Calculate w(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9148 - 2384 + 3660)*(-m - 2*m + 2*m) to the form w*m + i and give w.\nAnswer: -10424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -8071, 19.\nAnswer: -8071, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5056 - -5071 - (79 - (3 + -3 + 1))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*u - 2. Let k be (-5)\/u - (1 + 1). Let b(r) = 4*r - 3. Determine b(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-1))**(-48)\/(z**(8\/5)\/((z*z\/z**(-1\/10)*z*z*z)\/z)) assuming z is positive.\nAnswer: z**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by -2822166.\nAnswer: 31\/2822166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 207273 (base 12) to base 13.\nAnswer: 14b272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -21366952 less than or equal to -21366953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -293 - -524. Let b = t - 231.5. Sort -4, -0.1, 5, b in decreasing order.\nAnswer: 5, -0.1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80980.5km in micrometers?\nAnswer: 80980500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -268 from 244.71328426.\nAnswer: 512.71328426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 6 + 8)*(-b + 2 - 2)*(3*b - 3*b + 2*b**2)*(0 + 0 + 2*b).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3718 + -3725.629. Round x to one dp.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 43, 83, 117, 139, 143, 123, 73, -13?\n\"Answer: -n**3 + 3*n**2 + 38*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**4 - 312*c**3 - 908*c**2 - 600*c = 0.\nAnswer: -75, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 - -23 - (-1 + -4) - (-158 - -161).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 4 - 14. Suppose 0 = 4*g - z - 11. What is the second derivative of y + 0*y - 3*y**5 + 0*y**g wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110965703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7320 + 5738. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = l - 18, 3*l + 5*r - 26 = -0*l. Suppose -f + j = -27, 0*j + j = -l*f + 54. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.66 and 10\/359 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.1 + 3.1. Let l be 1 - ((-44)\/18)\/(-2). Which is the closest to -1?  (a) n  (b) 1\/3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -28  (c) 290\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21008607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*b + 14. Solve 2*n - b = -0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/(w*w*w*w**(-2\/7))*w)\/(w\/(w**(1\/7)\/w)))\/(w**5\/w**(-2\/3)))**(-1\/59) assuming w is positive.\nAnswer: w**(152\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 3 + y**4 - 6 + 0 + y to q + o*y**3 + b*y**2 + a*y**4 + l*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 < 83480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*q + 1363, 0 = 8*q - 5*q + l - 1031. Let m = -340 + q. Which is the smallest value?  (a) -0.2  (b) m  (c) -3  (d) -17\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -46*l**3 + 425*l**2 - 12*l + 84. Let n(t) = -19*t**3 + 170*t**2 - 5*t + 35. Determine -12*n(k) + 5*x(k).\nAnswer: -2*k**3 + 85*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + (50 - -6)\/(-7). Let f be 255\/(-357)*(g + 4\/10). Factor 1\/7*h**4 + 12\/7*h**2 + f - 6\/7*h**3 - 10\/7*h.\nAnswer: (h - 3)*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 12:11 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/5)\/h)\/(h*h**(2\/17)*h)*(h*h**(-2)\/h)\/h**(-5))\/(h**(4\/9)*h**(-1\/10))**(-30) assuming h is positive.\nAnswer: h**(2554\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2 - 5 = 0. What is the remainder when 7 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g + 7 = 43 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/m**(8\/7)*(m*m\/(m\/m**6))\/m*m**(-1)*m*m**8\/m assuming m is positive.\nAnswer: m**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*g - 54 = -187, -4*h + 108 = 2*g. What is the remainder when h is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**2 + 5*y - 9. Let r be s(3). Sort -0.05, r, 0.1 in decreasing order.\nAnswer: 0.1, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1995624 by 8.\nAnswer: 249453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccgccyccgy. Give prob of picking 1 c and 1 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 5*z = 0. Suppose -31*c + 38*c - 147 = z. What is the remainder when 158 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 4*f - 48. Suppose -f - 36 = -2*j. What is the common denominator of ((-69)\/(-10))\/(j\/(-20)) and 53\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5289 + 8720. List the prime factors of x.\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1122 + 1134. Let r = -121 - -125. Let g(t) = t + 4. Let v be g(0). Solve v*c - r = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = 2*j, 3*j + 5*d - 7 = -0. Suppose 2*l - 6 = 6*x - 3*x, 3*l + j*x = 9. Let t be 1\/(-3*(-4)\/l). Is t less than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -588.8 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -8 - 7 - ((-6 - -2) + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 53.5411kg?\nAnswer: 0.0535411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1991064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/((-5)\/(-10)*1). Let s be (-274)\/(-18) - 8\/36. Solve s = -w + 6*w, 4*t - f*w + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 422 is divided by 105.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 11*x + 178. List the prime factors of m(-13).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -5, -71, 2\/11 in ascending order.\nAnswer: -71, -5, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 9 = 7*d. Let m(f) = 3*f**2 - f - 4. Let j be m(d). Let g = 42 - j. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*l = 22*l + 32. Solve 3*k + l = 4*g, -2*k + 2*g + 3 = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002790549016 rounded to seven dps?\nAnswer: -0.0002791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (390\/(-9))\/((-2)\/6). Suppose -3*q + 2*q = -m. Suppose -2*a - 3*k + q = 0, 4*a = 4*k + 293 - 53. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-484)\/22)\/(9\/(-36)*8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 107*h + 4041. What is a(-39)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5024147 to the power of 1\/2, to the nearest integer?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 6*u**4\/11 + 2610*u**3\/11 - 16062*u**2\/11 - 81810*u\/11 + 95256\/11 = 0?\nAnswer: -441, -4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2684 or 2664?\nAnswer: 2684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 243, 243, 265, 321, 423, 583, 813, 1125?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*k**2 - 118*k - 51*k**2 + 157*k**2 + 1143 = 0 for k.\nAnswer: -127, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + (-31 - (-20 + 0)) - (3 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 67*t**3 - 277 wrt t?\nAnswer: 201*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11)\/(-44) + 17\/(-4). Let r = 0.1 + -0.21. Let u = r + -0.09. Is u less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 42, 3, 10 in decreasing order.\nAnswer: 42, 10, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 91*u**3 - 5*u**2 - 4*u + 6. Let s be w(4). Let a = s - 63026\/11. Let t = 479\/40 + 2\/5. Calculate the common denominator of t and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) 3  (c) -1\/2  (d) 22  (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 323357527.\nAnswer: 17, 251, 75781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*g + 10 = -0*c, -c + 3*g + 7 = 0. Suppose c = -2*y - 2. Let f(i) = i**2 + 8*i - 3. Calculate the smallest common multiple of 2 and f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169410 is divided by 3321.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 20*w**3 + 2*w**2 + 9*w + 1. Let g(t) = -3*t**3 - t - 1. Let d(h) = 6*g(h) + x(h). Determine d(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19703*q**3 - 5*q**2 - 685*q?\nAnswer: -118218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3 + 4*p**2 - 56*p - 96.\nAnswer: 4*(p - 4)*(p + 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 8:44 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (108\/8)\/((-2)\/(-8)). Suppose 0 = -4*n - h + a + 28, -5*h = 2*n - 32. What is the remainder when 103 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.138 and 88524523258?\nAnswer: 88524523257.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -27 + 11*s - 1\/2*s**2. Let d(j) = -j. Calculate d(w(k)).\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 10:59 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2 - 246*x - 3851. Calculate c(-62).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 2:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -1\/36, -30, -7\/4.\nAnswer: -30, -7\/4, -1\/36, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -12*r**2. Suppose 0 = 2*w + 2*w - 2*m - 8, -3*m + 4 = -2*w. Let u(b) = -2*b + 2*b - w*b + 3*b. Give a(u(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1248 and 336.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from tnnnnggtg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -79*s + 3994 + 4*s**4 - 3993 - 10*s**2 + 5*s**3 - 3*s**3 + 11*s**2 as j*s + w*s**3 + v*s**2 + i + b*s**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r - 2*r)*(-5 + r + 5)*(8*r + r - 33*r).\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is f1 (base 16) in base 12?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(-2))\/(270462\/90156 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhnven. What is prob of sequence hn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2798 - 2?\nAnswer: -279a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 8*a. What is u(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 29 = -5*l, -3*k + 12 = 4*l - 13. Let d be 44\/12*k\/6*6. Calculate the remainder when 68 is divided by (d - -1)\/(4\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -83\/3  (b) 1\/3  (c) -4  (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*u**3 - 3*u**2 - 246*u wrt u?\nAnswer: 114*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 251\/(-1255) + (1*-13)\/(15\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215460 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, r: 10, p: 3}. What is prob of sequence prpw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -43*y + 45. Let z be a(1). Suppose -5*c + 185 = z*x, 90*x - 91*x = 2*c - 92. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 5*f + 15, 5*f = 2*h + f - 12. Suppose 4*r - 2*g + 0*g - 126 = h, g - 129 = -4*r. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -525809, -1051588, -1577357, -2103110, -2628841, -3154544, -3680213, -4205842?\nAnswer: -4731425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1201784 * -2.6\nAnswer: -0.31246384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 5*f + 25, -o = 2*o - 5*f - 20. Let v(g) = -5 + g - 4*g + 5*g. Is 5 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) + 3*sqrt(114))*-5 + -6*sqrt(114)*2 + sqrt(114))\/(-6*-5*(sqrt(150) - (sqrt(150) - (sqrt(150) - -2*sqrt(150)))))*5.\nAnswer: -31*sqrt(19)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2499 divided by 34363.\nAnswer: 357\/4909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1007 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/5)\/(b*b**(-1\/3)*b))\/(b*b\/(b*b**(-4))*b**0) assuming b is positive.\nAnswer: b**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6156.5179 rounded to the nearest 10?\nAnswer: -6160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*i + 6 = 7*h - 175*i, 5*h = i + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 32150, 32170, 32254, 32444, 32782, 33310?\n\"Answer: 7*v**3 - 10*v**2 + v + 32152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68 - -24. Calculate the remainder when (11 - (-11)\/((-110)\/(-531)))*10 is divided by t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 409\/13906 + (-26926)\/(-68). What is the greatest common divisor of 21582 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 662513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0 + 2 = 0. Suppose -d + 8 + k = h, -40 = -4*d - 5*h. Suppose d*v - 51 = -3*a + v, 3*a - 3*v = 30. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4237260803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4*w + 40 = 0, -3*w - 58 = -5*z - 1. Suppose -z*j - 11*j + 1610 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -61*g + 30*g + 24*g. Let w(l) = 9*l. What is w(v(z))?\nAnswer: -63*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v + 2. Suppose 141 = 5*h - l, l + 29 = h - 0*h. What is the remainder when h is divided by w(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1482*p**6 - 48*p**5 - 68041*p**2 + 4 wrt p.\nAnswer: 177840*p**3 - 2880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**4 + 768*b**3 - 1159659*b**2 - 404941668*b - 403781244 = 0.\nAnswer: -454, -1, 653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 4*w - 8, 3153*w = 3148*w - g + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20451 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -2*z**3 - 119*z**2\/2 - 2*z + 44. Is 5 a factor of v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 1:03 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 8:44 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 228 - 138. Let r be (8\/(-3))\/(4\/x). List the prime factors of 30 - (r\/(-4))\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -4874.8116.\nAnswer: -4874.8116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5524734 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2*p + 8 + 8, -s - 3*p = 11. Calculate the common denominator of 19\/20 and s\/6 + (-1)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -43 - 35. Let c = -52 - n. Suppose -j = 2*t - 31, -5*t - 3*j + 61 = -18. Calculate the least common multiple of c and t.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -46*p - 14*p + 260. Solve p*b - 160 = -136 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/9 - 56\/189*-129. Suppose 2*m - 16 = q. Is (-1817)\/(-2) + m\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = 3*w + 2*i + 161, -3*i - 36 = 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*i = -35, 2*h - 2*i - 3*i = 8. Let c = h + 30. Let g = 65 - c. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 13*g**5\/60 - 7*g**4\/8 + 14*g**3\/3 + 149*g**2. What are the prime factors of i(11)?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of 11*l**9\/504 + l**5\/12 - 5*l**2 - 6*l. Let w(n) be the first derivative of c(n). Find the third derivative of w(g) wrt g.\nAnswer: 1320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 6:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92 and 6624?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 135.069 and -9.3086796?\nAnswer: 144.3776796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((12\/4)\/(-3)*2)\/((-69)\/((-105570)\/60)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 11, -5, 2881, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 321*g - 90*g + 2025 = 34*g - 208*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + 11207*j + 5*j**4 + 0*j**2 - 11211*j)*(-3*j + j + 4*j).\nAnswer: 10*j**5 - 4*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6521 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 44666207147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 5*x**2 + 32*x + 7. What is the remainder when y(-9) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 964.5781 weeks in nanoseconds?\nAnswer: 583376834880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -15 - (-127 - -150)) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*r**2 + 2*r**2 - 3*r**2)*(r - 4*r + 5*r) - 2*r**3 + 1 - 1)*(4 + 0 - 2)*(0*r - 2*r + r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1470807637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140\/(-15)*(-36)\/21 + 18\/18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 745699879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 15 = 5*a, -u + 2*u = -4*a - 12. Is (37 - u) + 8 + -12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 5, n: 6, u: 6, r: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 12*t**2 + 29*t + 158. Let s be k(-11). Let r(a) = 3*a - 1290 + 0*a + s + 3*a**2 - 6*a. Determine r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (27\/(351\/104))\/((-2)\/(-4)). Solve -m + 4 + 3 = o, 0 = 4*o - a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 103997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -14) + -8 + 3 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 117653059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -88420 divided by -44210\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*(15\/(-9))\/(-5))\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-72)\/(-324) - 122\/(-18). Suppose 188 = t*b + 62. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*r**2 + 46*r**2 + 11*r**2 - 22*r**2.\nAnswer: 79*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 p, and 1 t when three letters picked without replacement from pjjttttunfujtuj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 4*o - 29 = 0, -4*p = -7*p + 2*o - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-2\/5)\/b)\/b*b)**(-4\/5)*b\/(b\/b**8)*b**(2\/9)\/b)**(2\/77) assuming b is positive.\nAnswer: b**(3394\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -251638?\nAnswer: 1\/251638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -232806163 equal to -232806162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -8. Let p = v - -4. What is the second biggest value in p, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (4 - (14 + -5 + 6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**45)**(4\/23) assuming y is positive.\nAnswer: y**(-180\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -165123\/2 or -82563?\nAnswer: -165123\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z**3 + 131*z**2 - 214*z + 147. What is y(42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (735 + 744 - c - 1531)*(35 - 15*c**2 - 35) to x*c**3 + d + k*c**2 + a*c and give k.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9611105, 9611087, 9611069?\nAnswer: 9611051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124528 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k\/(k*k*k**(-8))*k)\/k)\/k)\/k*k)\/(k**(3\/13)\/k))\/(k*k**(-1\/3)*k*k**4) assuming k is positive.\nAnswer: k**(43\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 15, 5 = -3*a + y + 17. Suppose 3224 = -7*i + 20*i. Let j = i - 224. Solve a = 2*k - 1, -3*w - j = -4*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3 = -9*j + 4*j, 5*j + 2 = 2*s. Let x = 0.97 + -0.87. What is the biggest value in x, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-7))\/((1744\/96 + -18)\/((-112)\/72))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(1 - (-3 + 5)). Let z be -14*b - (-3 + 8 - 6). Is z less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -30217 in descending order.\nAnswer: 4, 2, -30217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 3*t - m, 2*t - 9 = -4*m - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence avaa when four letters picked without replacement from {a: 4, v: 7, f: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 3*j + 5. Let f be m(-5). What is the smallest value in -0.3, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3178*k**2 - 21*k - 14. Let a(u) = 1059*u**2 - 6*u - 4. What is 21*a(v) - 6*m(v)?\nAnswer: 3171*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -i + 3*h, -3*h + 1 = 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 4:34 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 9 - 2) + (-320)\/64.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 71023830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/18 and 111\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**6\/360 + f**4\/12 + f**3\/6 - 3*f. Let d(u) be the second derivative of p(u). Find the first derivative of d(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qaqqaahhhyhahhyhhh. What is prob of picking 3 q?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -27*r**6\/10 + 1284*r**5 + 4283*r**4\/6 + 476*r**3\/3 + 2*r**2 + 28*r + 7. Determine k, given that z(k) = 0.\nAnswer: -1\/9, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 117468 and 4253184?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47\/4 + -83\/12. Calculate the common denominator of s and -67\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 1334\/85?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 91486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*(0 + sqrt(98))*-3 + -4*(((sqrt(8) + sqrt(72))*-3)\/sqrt(4) + 5))**2.\nAnswer: -18720*sqrt(2) + 438448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1394811*b**2 + 697335*b**2 + 697417*b**2.\nAnswer: -59*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8517928390 to the power of 1\/2, to the nearest integer?\nAnswer: 92293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 3, -5\/13, -39, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 12:58 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 746259984?\nAnswer: 2, 3, 47, 71, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2898)\/(-3))\/(-1 - -3). Let i = 487 - s. Factor 2\/5*x**3 + 0*x + 0 - 6\/5*x**i + 4\/5*x**2.\nAnswer: -2*x**2*(x - 1)*(3*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-45)*-2)\/(42\/(-35))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1*(-3)\/21*-1). Find the second derivative of -o*n - 19*n + 7*n + 15*n**5 + 21*n**5 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 4*t - 2. Let j(q) = 2*q**2 + 8*q + 1. Let m(o) = -2*o**2 - 8*o. Let g(f) = -4*j(f) - 5*m(f). Let r be g(-4). Give a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2*d*d**8*d*d)\/(d**0)**(-1\/3)*(d**(-3\/2)*(d**(-1\/17)\/d)\/d)**(-2\/17) assuming d is positive.\nAnswer: d**(3878\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 482561389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 204793867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 51*i - 3554. Calculate the smallest common multiple of q(106) and 40.\nAnswer: 18520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 5:14 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/13 + 64*h**2\/13 - 4826*h\/13 + 4760\/13.\nAnswer: 2*(h - 35)*(h - 1)*(h + 68)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.7 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 6*r + 1. Let m(y) = 4*y + 3. Let x be m(-2). Let j be (-38)\/(-8) + x\/(-20). What is the units digit of d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15941, 32007, 48061, 64103?\nAnswer: 80133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**4 + 12*q**3 - 4*q**2 - 12*q.\nAnswer: 4*q*(q - 1)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14 + 423069?\nAnswer: 423055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 833 = -24*i + 977 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 10*j**5 + 36206*j**4 + 1402306*j**3 - 56482126*j**2 - 34929836*j + 22918400 = 0?\nAnswer: -3581, -64, -1, 2\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 550940 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -123ef5c (base 16) to base 12\nAnswer: -64a7aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(77)*4*-4)\/(3*sqrt(196)\/sqrt(7)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/267813 and -61\/123?\nAnswer: 10980333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-3)*-3*-1. Suppose 5*n + 3*v = -12 - 29, u*n + 20 = -3*v. Let q = 26.8 + -27. Which is the nearest to n?  (a) -2\/9  (b) q  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -186.867 and -7.56097.\nAnswer: -194.42797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -947, -1895, -2843?\n\"Answer: -948*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 8. Let f be (10\/(-2 - 3))\/((-6)\/(-24)). Let l be -10 + u + 4 + (-30)\/f. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35342112 (base 7) in base 6?\nAnswer: -150510443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i + 7*i**2 - 8*i + 6 + 0. Suppose 16 = -5*z + 9*z. What is the tens digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1016997342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 220?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 + 23. Calculate the common denominator of (c - 76\/72)*-101 and (1 - 27\/66)*3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + y - 2*y**2)*(3*y - y + 0*y)*(3 - 1 + 4).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**5 - 3471*l**4 - 35043*l**3 + 38511*l**2 = 0.\nAnswer: -11, 0, 1, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 25*i**2 + 4*i + 9. Let m(b) = b**2 - b + 1. Let j(a) = 2*m(a) + z(a). What is the second derivative of j(d) wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - k**2 + 7*k**2)*(-3*k**2 + 0*k**2 + 2*k**2) + 4*k**4 - 5*k**4 + 6*k**4.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37 - 33. Suppose 4*f = 3*i + 8 + 72, -f + 20 = -x*i. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ki when two letters picked without replacement from nlckbin?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130*q = 134*q - 16. Solve 0 = m + 5*p - 2*p + 12, -3*p - 3 = q*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -3) + (5 + -2 - (-7 + -5 + 19))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a - 18. Let r be t(7). Let h(b) = b**2 + 10*b + 10. Let z be h(r). Let l = z - -22. Solve -2*x + l = 2*i - 0*x, -3*x - 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h + h**2 + 2 - h - 2*h. Let d be r(4). Suppose d*l - 6 = 4*j, 3*j = -2*l + 4*j + 18. What is the greatest common factor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 26*n - 184 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*i*l*x**2 - 18*i*l*x - i*l + 1271*i + l*x + 2*x**2 wrt l?\nAnswer: 7*i*x**2 - 18*i*x - i + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3\/134, 0.0038 in decreasing order.\nAnswer: 2, 3\/134, 0.0038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-2))**(2\/19)\/(m*m\/m**1*m*m**6))\/((m*m*m**(-1\/12))\/((m**4*m)\/m)*m**7\/(m**(-2)\/m)) assuming m is positive.\nAnswer: m**(-3557\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 84 + 52. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 409 divide 154611816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + (sqrt(152)*2*-2 - sqrt(152) - sqrt(152)) + sqrt(152) - ((sqrt(152) + (sqrt(152)*1 - sqrt(152)))*-3 + sqrt(152)))\/(-5*sqrt(32)*2).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -2  (c) -6  (d) -0.008  (e) -2.114  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**8\/20160 - p**7\/1260 + p**5\/2 + 43*p**2. Let u(m) be the third derivative of y(m). Let x(o) = 2*o**2. Determine u(x(j)).\nAnswer: -4*j**4 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - (-2)\/(-2))*(-8 + 23). What is the highest common divisor of d and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 9*s - 4*s. Let g(t) = t**3 + 4*t**2 - 4*t + 8. Let u be g(s). Let m = u - -14. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 78?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 6, b: 2, r: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/((b\/(b\/((b*b**(-2\/9)*b)\/b)))\/b)*b)\/(b*b**(-4)*b))\/(b**1)**(-1\/9))\/(b**(1\/5)*b**(-10)\/b)**(-1) assuming b is positive.\nAnswer: b**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 108 + -99. Calculate the smallest common multiple of x and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*z**4 - 10*z**3 - 523*z**2 - 32485*z + 14 wrt z?\nAnswer: -120*z**2 - 60*z - 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = 145*t - 255. Solve 3*i - 1 = 2*i + 2*q, -5*q = -3*i + t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 310089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = b - l, -3*b + 0*l = 4*l + 16. Let w be b\/(0 + -1) - (23 + -22). Let g(q) = -3*q + 2. Let y be g(2). Sort w, y, 3 in descending order.\nAnswer: 3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 19*g - 1. Suppose 22*b = 30*b - 8. What is u(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-122 + 87)*((-1365)\/275 - -5)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 40997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 21*d**2 + 181*d - 101. Is r(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 24\/(-3)*-1 + 0. List the prime factors of 126\/x + 3\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3323 - 2443 = 350*y + 90*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -136 + 16*a + 59 + a**3 + 3*a**2 - 17*a**2 + 18*a + 64. Give r(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 3*s + 30. Let q(o) = -11*o - 51. Let f be q(-5). What are the prime factors of z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -94403167043 - -94403167967.00000829. Let f = k - 924. What is f rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*f**5 - 95*f**4 + 10*f**3 + 25*f**2.\nAnswer: 5*f**2*(f - 1)**2*(12*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (1 + -1) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 - 25. Let r(h) = -19*h**2 + h + 16*h**3 + 14*h**3 - 29*h**3 - 17. Let d be r(19). Solve 2*y = 3*g + 13, -a*y + d*g + 10 = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1a2a4 (base 13) to base 12\nAnswer: -25623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 12*v + 67. Let z be y(-5). Suppose 1689 = z*s + 506. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-24)\/9 - -3)*-39. What is the units digit of (0 - 2)\/(2\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3164116757 and -0.32.\nAnswer: -3164116757.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 less than -502327740?\nAnswer: -502327739.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 - (88\/(-8) + -89). Calculate the greatest common factor of g and 868.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.697 - -0.897. Which is the nearest to 1?  (a) 5  (b) -10\/53  (c) -4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 52c + -1?\nAnswer: 52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 2 = -o. Suppose 2*d + o - 7 = 5*r, 0 = -4*r. Suppose -z + d*z = -216000. What is z rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 1. Let k(s) = -6*s + 12. Let o(d) = -5*j(d) + k(d). Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.3 - 4. Let z = -15.1 - -16. Let g = z - p. What is g rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 802174.6995 rounded to the nearest one hundred?\nAnswer: 802200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + -2*sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(3) - (sqrt(1408) + (sqrt(1408) - -2*sqrt(1408))))\/(sqrt(704)*1*-6).\nAnswer: 31*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 + -32560?\nAnswer: -32604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 + 13. Let q be h\/(-1) - (-2)\/1. Solve -2*y - b - 3 = 1, 0 = 5*y - q*b + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/(-6)*(-102)\/(-68)*(-28)\/70?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 divided by -5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -5*t**2 - 42*t - 9. Let i be m(-8). Suppose 4*d + 6 = i*d. Solve 2 = -2*b - d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -1, 6, 0, 5 in increasing order.\nAnswer: -23, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*b + 108734 - 217470 + 108736.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -160*s**3 - 16*s**2 + 3*s + 6. Let y(h) = 161*h**3 + 14*h**2 - 2*h - 7. Let o(m) = 2*x(m) + 3*y(m). What is the third derivative of o(c) wrt c?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 10:17 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -225172 or -225236?\nAnswer: -225236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/44 - 24\/(-11). Let t be (-28)\/(-16) - (4 - w). Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 0, -35 = 5*m - 5*b - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12370, -37365, -79022, -137341, -212322?\nAnswer: -303965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 17\/582899 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 12) to base 2.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -88.51. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/2717 and 149\/124476.\nAnswer: 30745572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24378*j**2 + 415*j - 415*j.\nAnswer: 24378*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -7070?\nAnswer: 7071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-2)\/4)\/((-10)\/(-8355)))\/(-3). Let o = k + -140. What is the third biggest value in -2, 0.5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2. Let l(i) = -63916836*i. Calculate l(r(m)).\nAnswer: -127833672*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.8752 - -3.3752. What is the closest to 2\/5 in -1\/11, -2\/15, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**4 + 2809586*r**3 + 1315629851760*r**2 + 205354909386209664*r + 205353593759167488 = 0. Calculate r.\nAnswer: -468264, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 54 - 108. Let i = l + 271\/5. Sort i, 5, 12\/7, 0.4 in descending order.\nAnswer: 5, 12\/7, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 + 40*g**2 + 76*g - 120.\nAnswer: 4*(g - 1)*(g + 5)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.138 + -4.138. What is the smallest value in 0.04, 7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, c: 2, r: 2, i: 1}. Give prob of sequence crdi.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 20*r**2 + 18*r**2 - 12*r**2. Let j(m) = -13*m. What is j(s(p))?\nAnswer: -338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, 652, -1\/56, -3?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 - 9*s + 7. Let h be p(-10). Let g be ((-12)\/18)\/(1\/h). Is (32 - 5) + (g - -1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3249085?\nAnswer: 5, 7, 92831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**3 - 3*d**2 + 3*d + 5. Let h(w) = 9*w**3 + 6*w**2 - 7*w - 9. Let z(n) = 2*h(n) + 5*q(n). Suppose 86*j + 126 = 72*j. Is z(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5002895 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 34*v**3\/3 + 191. Let m(b) = 2*b - 3*b - b. What is m(z(x))?\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280664 - 165526 = 10*z - 360472. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7119225 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2.97, 58, -998, -3?\nAnswer: 2.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 65345644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.37 - -0.48. Let u = 0.45 - t. What is the nearest to 1 in -0.06, 1\/8, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53*(3\/4)\/(-111*4\/(-592)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7\/4  (b) 0.47  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 713455?\nAnswer: 5, 293, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 58558 + -58562. Let o = -2.243 - 0.057. Sort x, o, 5, 0.\nAnswer: x, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 13*d**2 - 11*d. Let f be (80\/(-110))\/((-13)\/11 - -1). Let k(m) = 4*m**2 - 4*m. Give f*o(g) - 11*k(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 22\/7, 1\/8, 0.4, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 4*w - 2. Let r = 32718 - 32713. Let m(s) = -5*s + 1. What is r*z(t) + 4*m(t)?\nAnswer: -5*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 divided by -12769.\nAnswer: 87\/12769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 5*l. Let j(d) = 4*d**2 - 3*d + 3. Let v(p) = -4*p**2 + 2*p - 2. Let q(c) = -2*j(c) - 3*v(c). Calculate q(b(f)).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-12)\/((-192)\/(-88))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9526946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (100\/30)\/(6\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/4 + 811700*a + 658856890000.\nAnswer: (a + 1623400)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 251 + -342b?\nAnswer: -31aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 370012795?\nAnswer: 5, 74002559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 100292326 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.381365 * 0.5.\nAnswer: -0.6906825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -164?  (a) 3\/4  (b) -77  (c) -0.5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 356 and 464564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -105527 divided by -1?\nAnswer: 105527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaanaiinansnss. Give prob of picking 1 a and 1 n.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 - -20. Which is the smallest value?  (a) -0.1  (b) t  (c) -0.9  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 + (-16 - 26) + (0 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1748641, 3497271, 5245901, 6994531?\nAnswer: 8743161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 1\/2465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 415 + -1246\/3. Let i = 18\/25 - 284\/325. Let l = 21\/52 + i. Which is the closest to w?  (a) l  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 565472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1521*z**2 + 7*z - 54703?\nAnswer: -3042*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -14*k + 48. Let w = 117 + -54. Calculate the remainder when w is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 4:03 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -53*c**2 + 75*c - 2. Let o = 272 - 274. Let m(a) = -157*a**2 + 226*a - 6. Let b(p) = o*m(p) + 7*r(p). Find the second derivative of b(x) wrt x.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 27*x - 24. Let j be i(21). Suppose 2*q + j = -2*k, 2*k + k - 159 = 3*q. Find the common denominator of q\/5*4\/(-8) and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/6*((-968)\/(-64) + 765\/(-51))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, j: 2, r: 5, e: 8, q: 3}. Give prob of sequence qjqq.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14428 divided by 214.\nAnswer: -7214\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30938221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 445919 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5*m**3 - 37*m**2 + 10*m - 14. Let q(x) = 2*x**3 - 14*x**2 + 3*x - 5. Let o(c) = 3*k(c) - 8*q(c). Determine o(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (5 + (1 - 9))\/((-3)\/50) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*(-6)\/2 - 1. Suppose -v = -0*v - h. Let n(d) = -d**2 + 6*d - 3. Calculate the remainder when v is divided by n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23682123 is divided by 233.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -61765424 (base 8) to base 4\nAnswer: -301332230110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50.63282 + 56.553769. Let b = 5.92 - s. What is b rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w**4\/11 - 2700*w**3\/11 + 238542*w**2\/11 + 1333800*w + 16106376 = 0. What is w?\nAnswer: -22, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {k: 5, n: 3, d: 1, x: 1, s: 3, z: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170091.\nAnswer: 3, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**2 + 12*h - 9. Let g(t) = 11*t**2 - 35*t + 26. Let s(u) = -3*g(u) - 8*p(u). Let m be 1 + 0 + (-30)\/(-5). Determine s(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -92*d + 2585. Calculate i(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -248, -494, -740, -986, -1232?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1134860 by 283715.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-13 + 10 - (-2 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (78\/21 + 34\/119).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2494*b**6 + 5*b**5 - 2*b**4 - 1669*b**2.\nAnswer: -299280*b**3 + 300*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 916735, 916737, 916739, 916741?\nAnswer: 916743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 311, 2579, 8737, 20729, 40499?\nAnswer: 69991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - -50*5\/(-10). Calculate the remainder when 41 is divided by 56\/10*f\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -31*y**2 + 2*y + 2. Let o be m(7). Let s = 221154 - 1317971\/6. Let u = s + o. Calculate the common denominator of -19\/9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 220 and 7714340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4*g**2 + 269*g - 814. Let o be c(3). Is 1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -1 + 7*z**2 - 4*z**3 - 6*z**4 + 4*z**5 - 2 - 3*z**4. Let k(g) = -g**5 + g**4 - g**2 + g + 1. Let v(m) = -5*k(m) - y(m). Solve v(t) = 0 for t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 28*v**2 - v**3 - 2*v + 0 - 21*v**2 - 28*v**2 + 3 to the form w*v**3 + f*v**2 + l*v + c and give f.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2065*g = 2069*g - 17564. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -4 - -2) + (-13 - -2) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 38, -6, -86, -214, -402, -662?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 297388830 to the power of 1\/2, to the nearest integer?\nAnswer: 17245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(((-12)\/4)\/(-6)). Suppose 0 = z + z - 18. Let f be (x\/z)\/((-2)\/3). Solve -f*c - 20 = 4*w, 0*w - 2*c = -w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/(-2))\/(20\/(-480)*-18). Let h(d) = -14 - d + 8 + 10. Determine h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((-3 - (-15 - -7)) + 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 51340.62.\nAnswer: -154021.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 634799*v + j - 12 = 634801*v, -2*v - 3*j - 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 5*q**2 - q - 2. Let a be b(-8). Suppose -5*f + 2*f = -a. Suppose f = 2*s - 58. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 6:34 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 507679.8 and 0.075?\nAnswer: 38075.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1372.063 + -1360. Let w = 12 - k. What is w rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -474 + 526. What is the remainder when 104 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*g - 1633945 + 1633945)*(-2*g + 4*g + g**2 + 0*g**2).\nAnswer: 32*g**3 + 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2. Let q(h) be the second derivative of -h**3\/3 - 5*h**2 - 7*h - 6. Give c(q(g)).\nAnswer: 4*g**2 + 40*g + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 819\/12*(-1844)\/1383?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -215*n - 82*n - 60*n + 7497 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49 and -4*(3 + (-786)\/24)?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22207991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*b - 162 = 11*b + 24*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -987b (base 12) in base 3?\nAnswer: -212001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 366009 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 3*k + 325 = 312, -14*f + 10*f + 120*k = 596 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15896185000 rounded to the nearest 1000000?\nAnswer: -15896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = 5*q - 4*x + 40, 0 = 4*q - 5*x + 175. Sort 5, q, -3, 1.\nAnswer: q, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 44*l**2 + 6*l - 31. Let s be c(7). Is 7 + (2 + s - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**2 - 77*l - 37. Give m(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 + -14. Let p(f) = -61*f + 14. Let v be p(g). Round v to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of v**8\/1344 - v**7\/280 + v**6\/160 - v**5\/240 + 2*v**2 - 5. Let s(r) be the second derivative of p(r). Factor s(i).\nAnswer: i**2*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 65 - (48 - (-99 + 104))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 3*c. What is the remainder when p(-2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-9) - 3248\/15750. Let p = m - -121\/250. Which is the third smallest value?  (a) -0.5  (b) p  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 867*z = 866*z + 22124399, -4*r = -2*z - 22124402. Round r to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 78 - -84. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13358 - 13360. Which is the closest to -1?  (a) -3  (b) 0.089  (c) -3\/7  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40425 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -65*z**2 + 97*z**2 + 2*z**4 + 141*z**3 - 42*z**2 + 6285 wrt z.\nAnswer: 8*z**3 + 423*z**2 - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17030, 33145, 49260, 65375, 81490, 97605?\n\"Answer: 16115*b + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 14 + 4 = 0. Let p be (-7 - -6)\/(x\/10). Let t be p\/2*(-8)\/10. Let r(k) = 3*k**2 - 4*k + 3. What is r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.136 + 1.124. Let a = 1.4 - b. Round a to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 - -23. What is the second biggest value in 1\/11, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) - sqrt(2057)*-1*3)**2 + sqrt(119)\/(sqrt(343) - (sqrt(343) - sqrt(343)*-2)) - (-5 + (4*sqrt(51)\/sqrt(3) + 3)**2 + 0).\nAnswer: -337*sqrt(17)\/14 + 32636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-54 - 25 + 18)*((1 + 2 - 1)*(-6 + 2 + 3) - 6 + 13 + 0)*(h - 3 + 3)*(-1 + 0 - 1) to the form b*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11142 is divided by 444.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*u + 5*u + 4*u**2 + 27*u**3 - 28*u**3 in the form b*u**3 + l*u**2 + a + t*u and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1154, -23, 0.1 in increasing order.\nAnswer: -1154, -23, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 greater than or equal to -613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 43879129 and 2500883?\nAnswer: 482670419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 11, 3 in increasing order.\nAnswer: 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of f**4\/12 + f**3\/6 + 7*f**2\/2 - 23*f. Calculate b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of a**3\/6 - 48*a + 6. Let t(z) = 2*z**2. Calculate t(w(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of -i**4\/12 - i**3\/3 + 3*i**2\/2 + i. Let y be r(-3). Let o be (y - (-6)\/(-4))*-2. Solve 3*s = p - 9 + o, -2*s - p = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 532689927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, a: 11}. Give prob of sequence aaz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cbf when three letters picked without replacement from fccbcbcbc?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.01629 + -0.01629. Let u = -0.21 + 0.24. Which is the biggest value?  (a) 10  (b) p  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000146 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-483)\/(-276) + (-21)\/(-4). Solve 4*b - n*b = -4*f - 34, -4*f - 40 = -4*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -3, 4.\nAnswer: -11, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 9*o**2 + 7*o + 8. Let k be x(8). Suppose k = 2*w - 3*j - 22, -j - j - 33 = -3*w. Factor -21*s**3 - 2*s**2 + 9*s**3 + s**4 + w*s**3.\nAnswer: s**2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*n - n**2 - 3*n + 9*n**3 - 2*n to h + d*n**2 + z*n + k*n**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58 + -15. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/3  (b) 0.38  (c) -7  (d) -1  (e) 7.5  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33.00304 - -33. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7281, -7173, -7053, -6927, -6801, -6681, -6573?\nAnswer: -6483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-u**3 + 0*u**3 - u**3)*(-u - u + 5*u)*(929 - 2674 - 3984) to the form q*u**4 + f*u**3 + z*u + y*u**2 + d and give q.\nAnswer: 34374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - -3) + (-23 - (-24 + -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - p + p + (74*p - 98*p + 91*p)*(4 - 2 - 1) + (4*p + p - 3*p)*(0 + 2 - 3) + 0*p + p - 2*p - 3705 + 3705 - p.\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -111964 - -163304. What are the prime factors of m?\nAnswer: 2, 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41 - 14 - 13 - (153 - 8)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -1. Let u(q) = -10*q + 5. Let h(a) = -6*r(a) - u(a). Give h(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 93 = 3*g, -4*g - 103 = 4*s + 13. What is the tens digit of ((-17)\/2)\/(15\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 7  (b) 0.1  (c) -19\/6  (d) -5  (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-24)\/(-42))\/((-2)\/(-14)). Suppose 0 = f - 0*f. Suppose 2*b + 2*b - 12 = f. Solve 3*g - 2*g - t = -b, -j*g = 3*t - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -86264, -86244, -86226, -86210, -86196?\nAnswer: -86184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 66218857681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0053 and -1097.\nAnswer: -1096.9947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = g - 15820 - 9670, 2*g + f - 50971 = 0. What are the prime factors of g?\nAnswer: 2, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -504 (base 6) to base 15\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.081 and 3.\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.246 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 79. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 617 - 607. What is the units digit of g\/(-8) - (-5053)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 5:44 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2704875 to the power of 1\/2, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3664584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(3\/4))\/(m\/m**(-2\/13)) assuming m is positive.\nAnswer: m**(83\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/32 and -101\/650.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 115985*c + 4059540. What is v(-35)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1186*g**3 - 255*g**3 + 324*g**3.\nAnswer: 1255*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 2 - (-16 - (-17 + 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1027466.\nAnswer: 2, 11, 46703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4158563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -64 - -317. Calculate the greatest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 5*m**2 + 6*m + 6. Let g be w(-6). Let n(f) = -f**3 + 6*f**2 + 3*f - 9. Let a be n(g). Put 2, a, 4 in ascending order.\nAnswer: 2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 5*v**2 - 2*v + 5. Let a(q) = -q**3 - 3. Let b(i) = -2*a(i) - w(i). Let k(o) = o**3 - 5*o**2 - o + 1. Let x be k(5). Determine b(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -17*i**7\/105 + i**4\/4 - 5*i**3\/6 - 7*i**2 + 7. Find the second derivative of a(b) wrt b.\nAnswer: -408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(6)\/sqrt(2))**2 - ((sqrt(36)\/sqrt(3))**2 - sqrt(3)).\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/8, 1, 10, -29, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 419774916.\nAnswer: 2, 3, 11, 37, 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -85, -359, -817, -1459, -2285?\n\"Answer: -92*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-2\/47)*h)\/h*h*h**(2\/19)\/h*h*h*(h*h**15)\/h*h*h\/(h**(-6)*h)*h assuming h is positive.\nAnswer: h**(23274\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*a - 3*a - 20. Suppose 0 = a*w + 5*s - 36 + 3, 5*w = 5*s - 15. Solve -2*g - w*t = -4, -5 = -3*g - 2*t - 2*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121730 and 81326.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 plus -10587559053?\nAnswer: -10587559090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 18 = 4*t + t, -5*t = 2*l + 11. Suppose 3*i - l = -2*g, -5*g + 12 = -23*i + 25*i. What is the closest to i in 2\/13, -0.1, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.467 rounded to one decimal place?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.5 and 3.507963594.\nAnswer: 3.007963594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 35*u - 3. Let h(m) = 69*m - 8. Calculate -6*h(w) + 11*p(w).\nAnswer: -29*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2 - 490*l + 965. What is q(243)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -15*j**4 + j**3\/3 - 35*j**2\/2 - 52. What is the third derivative of r(h) wrt h?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 101864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -101111 (base 2) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251953.\nAnswer: 13, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 17*f**2 + 2 - 12.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 73*q - 112*q + 68*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + sqrt(2) + 3 + 3 - (sqrt(500)\/(-2*sqrt(10) + sqrt(10)) - sqrt(50))**2).\nAnswer: -195 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) -11\/39  (b) 2\/3  (c) 0  (d) -2  (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 146\/8 + (2405\/148)\/(-65)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -81 + 80.999565. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 807 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 43, 95, 167, 259, 371, 503?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -5*d. Let q = -2 + 4. Let s(u) = -2*u**q + 0*u**2 + 4*u**2. Determine s(c(n)).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 + -69. Does 12 divide (c - 1) + 210\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/12284244 and -61\/36852732.\nAnswer: 36852732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*x**2 + 267*x**3 - 1 + 3 - 265*x**3 + 9*x to the form c*x**3 + r*x**2 + j*x + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2430093161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4118329\/72 - -57197. What is the common denominator of 37\/180 and u?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 640 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 675355486.\nAnswer: 2, 13, 23, 883, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -162 by 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10439 is divided by 794\/11 + (-8 - ((-2236)\/22)\/13).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1379921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -3*p**4\/2 - 2*p**2 + 7. What is the second derivative of s(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70547425 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 1. Let y(w) = -5*w**2 - 9. Let i(b) be the first derivative of -5*b**3\/3 - 9*b + 76. Let f(k) = 6*i(k) - 7*y(k). Give -f(n) + 6*h(n).\nAnswer: n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -3*g**2 - 519150*g - 22459726875 = 0?\nAnswer: -86525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 550 in -24\/7, 0, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -21863 - 16885 = -12*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**4\/4 + u**3\/3 - u**2\/2 + 16*u - 1. What is the remainder when 28 is divided by m(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -7*i - 68. Let u be x(0). Let n = u + 23. Let t = n + 108. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 - 77. Which is bigger: p or -33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/4)*q)**(18\/7)\/(q\/(q**(-10\/3)*q)*q*(q**12\/q)\/q) assuming q is positive.\nAnswer: q**(-575\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 5*q = -15, 0*q + 9 = -3*q. Let k be 57\/(-2) - 1\/(-2). Let p = t - k. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*a - 13*a - 8*a - 11*a + 16*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1925841 - -5491510. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 4\/5  (b) -5  (c) -0.2  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, x: 7, e: 2, h: 3, j: 1, c: 2}. What is prob of sequence ecj?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-73)\/(-4380))\/(5*40\/(-250))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d - 5*o - 6 = 6*d, 6 = 3*d - 3*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5.0255 times 0.1\nAnswer: 0.50255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2760)\/(-56) - ((-9)\/(-7) + -1). Let d = -50 + b. Is 688\/8 - (d + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/4*(-102)\/136?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/14 - 4\/7. Let w = 0.14 - -5.86. Which is the nearest to -1\/3?  (a) w  (b) v  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of c**7\/1470 - 69*c**6\/280 - 209*c**5\/210 - 5*c**2 - 4*c + 11. What is u in f(u) = 0?\nAnswer: -2, 0, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -416 - o**2 - 12*o + o + 430. Let k be p(-12). What is m in 2*m**2 + 9*m**2 + 20*m - 7*m**k = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1211654, 1211653, 1211652, 1211651, 1211650?\n\"Answer: -b + 1211655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -3  (b) -2  (c) 1\/2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 94329.24 micrograms?\nAnswer: 94329240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 9609654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (((-9)\/(-6))\/(6\/(-16)))\/22. Let p = -2.85 - 0.15. Suppose -4*v - 15 = 5. Which is the nearest to 0.1?  (a) v  (b) z  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 2*p = 8, 2 = -2*k - 43*p + 38*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*g - 48*g + 32. Let p(k) = 23*k**2 + 11*k**2 - 38*k**g. Let x(h) = 5*h. What is p(x(r))?\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 + -29. Let x be g - -40 - 18\/6. Suppose x*p - 10 = 36*p. Solve q - p = -2*y, y + 5*q = 4*y + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 301928256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**3 + 12*f**2 + 256*f + 240 = 0. Calculate f.\nAnswer: -6, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1510\/252 + 14\/49 and -143\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 3807.92\nAnswer: -11423.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106688, 106674, 106656, 106634, 106608, 106578?\nAnswer: 106544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.151 and 0.6.\nAnswer: -0.0906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 7*v**2 + 175*v - 8. Let z(h) = -h**2 + 2*h + 2. Let g(x) = l(x) + 4*z(x). Let g(q) = 0. Calculate q.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76773 is divided by 76378.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (21 - 16 + 59)*(-4*j + j + j) in the form s*j + k and give s.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25914, -25819, -25670, -25473, -25234, -24959, -24654, -24325?\nAnswer: -23978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 208 + 31. Suppose 3*o - 3*y = -4*y - 1, -o - 5 = 5*y. What is the remainder when m is divided by (-1)\/(1\/(-20)) - o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -1587*j + 368296. Calculate v(232).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-4 + 4 - (0 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 24, -2, -3 in ascending order.\nAnswer: -5, -3, -2, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 470955812 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, v: 3, p: 5}. What is prob of sequence vpvb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1283 + 5173 = 5*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**4\/6 - 8*k**2. Let u(t) be the third derivative of -t**5\/30 - 4*t**2. What is u(y(f))?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r**4 + r**2 - r**2)*(-1 - 3 - 2 + (5 + 21 - 10)*(0 - 1 + 6)) in the form t*r + o + i*r**3 + z*r**4 + b*r**2 and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g*g\/g**(-2\/11)*g)))\/(g\/((g*g*g*g*g**(-2)*g)\/g))*g*g\/g**(-6)*g*g*g**(3\/7) assuming g is positive.\nAnswer: g**(1125\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -422 - -424. Let p(n) be the third derivative of 0*n + 0 + 1\/18*n**3 - 1\/36*n**4 + 1\/180*n**5 - y*n**2. Suppose p(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rabbgbabh. What is prob of sequence agb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26056*d**2 - 210*d - 21615920?\nAnswer: -52112*d - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1026 and 180.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81638191 divided by 81638191.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 49 + 21 = 0. Suppose -x = -o - 45, 5*x = -o - 3*o + 261. Calculate the highest common divisor of x and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 169692870 to the nearest one hundred thousand.\nAnswer: 169700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3395 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 102\/(-12))*(-4)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -313  (b) 7  (c) -1\/8  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.039 + -15.039. Let w = g + 15.5. Let f = -43 - -42.6. What is the second biggest value in w, f, 3, -1.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 166993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 60 = -3*z. Suppose 2*u = 3*u - 1. Let m be ((-8)\/(-6))\/(u\/3). What is the greatest common factor of z and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 2695922.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 313*5.\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 622 and 25605874?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17163 - -17158. Put l, -72, 1 in increasing order.\nAnswer: -72, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 7:29 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*z - 8 + 5*z - 828)*(-2*z + 2 - 2 + (7*z + 329 - 329)*(5 + 2 - 6)) to n + g*z**2 + r*z and give r.\nAnswer: -4180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from {n: 4, b: 5, a: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1416 + 1433. Sort m, 1, 6 in decreasing order.\nAnswer: m, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-86)\/(-8) - 6\/8. Suppose -5*z - t = -10*z. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3999222 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2\/7, 0.4, 15\/29, 2, 29821 in decreasing order.\nAnswer: 29821, 4, 2, 15\/29, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 0.2. Let d = 0.9 - n. Let h = 130 + -133. What is the nearest to d in 0.5, -1\/7, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 3*m**2 - 7*m - 10. Let r be w(-4). Suppose 2*h = 3*x - 8, -2*x + 0*h = -r*h - 4. Solve -x*o = -6*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of 3\/2*n**2 + 7*n - 4. Calculate o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -119.35515 to one dp.\nAnswer: -119.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1667111 is divided by 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 4, -1\/17, 0.4?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 313534 (base 11) in base 12?\nAnswer: 202911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 345943649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.9 + 2.927. Round y to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m**2\/7 - 34*m\/7 + 30\/7 = 0. Calculate m.\nAnswer: 5\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000173041 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-20)\/(-950)*(-1 + 11). Let s = r - 31\/57. Let c = -0.9 - 0.1. Put c, -0.2, s in increasing order.\nAnswer: c, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*z**5\/7 - 118*z**4 - 1100*z**3\/7 - 22*z**2 + 60*z\/7 = 0. Calculate z.\nAnswer: -1, -2\/5, 0, 1\/6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25156)\/(-31445))\/(2*(-164)\/(-10))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121222 (base 4) to base 6.\nAnswer: 11334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1978 * 15866.\nAnswer: -31382948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 430 - 430 - v**3 - 3*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from quzqqqqzzwwq?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3735, 2\/11, 0.2 in ascending order.\nAnswer: -3735, 2\/11, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 72972457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 4*o)*((o - 5*o + o)*(-o**2 + o**2 + o**2) - o + o - 2*o**3) to the form j*o**2 + z*o**3 + k*o + u*o**4 + y and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-9 + 3)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 4)*(-32 + 74 + 32)*(-45*x**4 - 44*x**4 + 35*x**4).\nAnswer: 7992*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4545595285.\nAnswer: 5, 7, 11, 29, 383, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, a: 2, y: 4}. Give prob of picking 1 y, 1 a, and 2 l.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - -6) + 16 - 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 156, -4, -34619 in decreasing order.\nAnswer: 156, -4, -34619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 640 = -12*v. Let q be 3 - -2 - 656\/v. Which is the second biggest value?  (a) 0.2  (b) q  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1991701?\nAnswer: 97, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 2*p. Let g = 6 + -5. Suppose 2*m - 3*o + 4*o + g = 0, o = -3*m - 2. Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 81 - 17 = 5*d, -151 = -5*x - 4*d. Let a = 35 - x. Suppose -4663 = -3*g + q, 5*g - 6822 - 961 = -a*q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/(4\/24*6)*143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 142 + 134 = 0. What is h rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581 is divided by 504.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 63\/7 + 3*2. Suppose -q = -3*q - w*q. Solve -2 = r - h - q, 0 = -2*h + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -6*a**2 + a. Let u(c) = 3*c**2. Let k be -10*(-11)\/550*50\/5. Determine k*d(s) + 5*u(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1152871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(((-5)\/2)\/(-5)). Suppose m*z + 13 = -3. Which is greater: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 628\/19, 5\/2, 6 in ascending order.\nAnswer: 5\/2, 6, 17, 628\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 10:02 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 0*b**4 + 0*b**4 - 3*b**4 + b**5 - 3*b**5 + b**5 + b**5 + (-2*b**2 - 2*b**3 + 2*b**2)*(-2*b**2 - 2*b**2 + 6*b**2) - 2*b**5 + 0*b**5 + b**5.\nAnswer: -5*b**5 - 3*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -393*n + 3115. What is the ten thousands digit of d(-81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m. Let v(x) = -6*x**2 + 4. Let q = -72 - -68. Let k(u) = -u**2 + 1. Let j(p) = q*k(p) + v(p). What is j(s(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2311*m**6 + 13055*m**4 - 2*m**2 - 3*m + 193572.\nAnswer: 277320*m**3 + 313320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 + 102. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s. Let a(f) = 29088269*f + 17. Determine r(a(w)).\nAnswer: -58176538*w - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193432?\nAnswer: 2, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25146158.\nAnswer: 2, 19, 661741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**1)**(-2\/21))**(21\/5) assuming i is positive.\nAnswer: i**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 568181090?\nAnswer: 2, 5, 1201, 47309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4479724 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 29\/3, -2?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 10, -0.5, -1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 17, 2, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/2289*189\/56 - 6\/(-74 - 10).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 16 = 7*n, 0 = -x - 3*n + 153. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**3 + 3*b**3 - 11*b**2 - 7*b**3 to q*b + l + h*b**3 + z*b**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 44543, 89155, 133787, 178445, 223135, 267863, 312635?\n\"Answer: p**3 + 4*p**2 + 44593*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -138*d**2 - 1102*d - 4712615?\nAnswer: -276*d - 1102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -57*u + 1746. Determine a(29).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-25)\/(-10) + 1\/(-2). What is h in -6*h**3 - 4*h - 12*h**2 - o*h**4 + 2*h**5 + 0*h**3 + 22*h**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1843201*t**4*x**2 + 8322235*t**2*x**2 wrt t?\nAnswer: 44236824*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7941 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0.4  (b) -9180  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 - -7. Let u be (33\/h)\/((-30)\/16). Factor 0 - u*s + 6\/5*s**2 - 6\/5*s**3 + 2\/5*s**4.\nAnswer: 2*s*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 647 is divided by 177.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4341 + 3025. Let m = g - -1315.9011. Round m to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(325) + 2 - sqrt(325)) + sqrt(13) - (sqrt(13) - (sqrt(39)*1)\/sqrt(3)))**2 + sqrt(416)\/sqrt(8)*-6).\nAnswer: -51 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-5 - -3) - -4. What is the third derivative of 26*j + 27*j + 49*j**5 - 54*j - t*j**2 wrt j?\nAnswer: 2940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 5*p - 2*s, 4 = p + 5*s + 1. Calculate the remainder when p + 282 + 6\/1 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -z + 0 - 1\/30*z**6 - 1\/12*z**3 + 0*z**2 + 1\/12*z**4 + 1\/84*z**7 + 0*z**5. Factor a(c).\nAnswer: c*(c - 1)**3*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (9 - (4 + -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 3930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-8 - (0 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3407 + 279.071\nAnswer: 3686.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 333.9 + -2.0363?\nAnswer: 331.8637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from afdxzddjdzjdzzzjjxj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398731937 to the power of 1\/2, to the nearest integer?\nAnswer: 37400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y - 9. Let k be z(6). Let r(h) = -h**2 - 17*h - 57. Let m be r(-12). Differentiate 2*w**3 - m*w**k + 1 - 12 - 19*w**3 with respect to w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -28*g**3 - 10*g**2 + 34*g + 453. Is w(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163755 is divided by 3994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 43. Let z(v) = 2*v**3 - 4*v**2 + 1. Suppose 2*p + p - 9 = 0. Let w be z(p). Solve -x*r + 8 = -r + o, -5*o = 3*r - w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/7  (b) 211  (c) -5\/3  (d) -2\/5  (e) 4  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2501 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.222 + 0.222. Sort l, -1.7, -2.8, -5 in increasing order.\nAnswer: -5, -2.8, -1.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6067 + -2?\nAnswer: -6071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32894266 is divided by 3774.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -807.9 + 864.97. Let g = 58 - k. Let i = -0.07 - g. Which is the closest to 1\/4?  (a) i  (b) 2\/3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 140*p**3 - 139*p**3 - 4*p + 1 - 4 as t*p**3 + h*p + r + s*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -16790636 divided by -4?\nAnswer: 4197659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*22)\/(1\/8*560\/70)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 5:51 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2425 and 26093?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (92\/(-18) + 5)\/((-2)\/(-3)). Which is the fourth smallest value?  (a) 15  (b) v  (c) -4\/7  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -29, -36, -27, 4, 63?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12786 (base 9) in base 6?\nAnswer: 104040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 58537 - 9790. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeeeeeeyeeyeeee. Give prob of sequence eey.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19201384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 745.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -3214*(-5 - (-80)\/15)*(-9)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 2*a - 8. Let u = a - -4. Solve -2*v**2 + v**2 + 18*v**5 - 7*v**2 + 12*v**4 - 22*v**3 + u*v = 0 for v.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yniyzgy. Give prob of sequence zng.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 49 - 1202*p**3 - 2*p**2 - 95 + 45 - p - p. Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -1) + 9 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237337268 to the nearest integer?\nAnswer: 15406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -82705 + 0.\nAnswer: -82705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/98)\/((-18)\/(-1638))*(-302)\/(-4). Is -0.1 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -5*f + 1. Let l(z) = z**3 + 6*z**2 + 5*z - 2. Suppose -9*j = -6*j + 15. Let x be l(j). What is p(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*u + 2*k, k = -18*u + 15*u + 21. What is the smallest common multiple of u and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12322418, 12322417, 12322416, 12322415, 12322414?\nAnswer: 12322413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -5*n**2 + 36*n + 27. Let p(d) = -d**2 + 9*d + 7. Let c(b) = -9*p(b) + 2*z(b). Let r = 141 - 148. Give c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26.808*-24.\nAnswer: 643.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -88*l - 6. Calculate x(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 221\/2 + 3\/(-6). What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n - 22*n + 392 = 0. Calculate the highest common divisor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47017 is divided by 7826?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyenynyyynhnyhfyny. Give prob of picking 1 h and 1 e.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69*z**3 - 19*z**2 + 7009*z wrt z.\nAnswer: 414*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m + 4*m + m)*((-2 + 3 + 4)*(0 - 1 + 2) + 6 - 3 - 1 - 2 + 4 + 0) as p*m + n and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -307*j = -279*j - 262080. What are the prime factors of j?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 1\/14  (b) 3\/2  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -87.56134 + 87.59. Round u to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h - 656 - 208 = 0. What is the remainder when 142 is divided by h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1120\/448)\/((-10)\/24). Let s(z) = -25*z**3 + 6*z**2. Let o(a) = -75*a**3 + 17*a**2. What is x*o(i) + 17*s(i)?\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 5*o - 262 = -2*n, -5*n = -5*o + 325. Let q = 64 + n. Let a be (q - (-2 + 4))*3\/(-1). What is the greatest common divisor of 36 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 743635618 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 729137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.48+-563596\nAnswer: -563596.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of 3*b + 3\/2*b**2 - 1. Let t(c) be the third derivative of -c**4\/8 - c**3\/3 + 23*c**2 - 31*c. What is 3*t(k) + 2*u(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 10:53 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -421 - -376. Let s = 112 - m. Calculate the remainder when s is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) -0.2  (c) -529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 43 and 20?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from yjyjyyykykyijyikj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43153655.\nAnswer: 5, 19, 37, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290 is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (245\/126 + -2 - (-245)\/(-126))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 946356180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1975*p - 6 = 1969*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1905842 is divided by 601?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000020002102 (base 3) to base 14.\nAnswer: -2d88d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-6) - (-8 - 24\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 336 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1733 + 5046. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 less than 20.06641861?\nAnswer: 0.06641861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1694 is divided by 223?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3\/21 - 632*r**2\/21 - 22402*r\/3 + 105380\/7 = 0. What is r?\nAnswer: -165, 2, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1886189.4 nanoseconds to minutes.\nAnswer: 0.00003143649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*m - o, 0 = 5*o - 14 - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 6*u + 39*u**3 + 7*u**5 - 18*u**4 - 3*u - 6*u**4. Let z(y) = 8*y**5 - 24*y**4 + 40*y**3 + 4*y. Let i(v) = 4*d(v) - 3*z(v). What is k in i(k) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y**2 - 3*y**2 - y**2 to n*y + j*y**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 8) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-h**2 - h**2 - 2*h**2)*(0*h + h + h)*(1 + 7 + 17) in the form f + o*h + t*h**2 + b*h**3 and give b.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, v: 7, d: 1, j: 6}. What is prob of sequence zvj?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1522*v**3 - 6*v**2 + 1525*v**3 + 66 - 71 as j + l*v + r*v**3 + t*v**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**(2\/11)))**(-50)*o\/o**(1\/6)*o**0 assuming o is positive.\nAnswer: o**(-545\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -o + 49, 0*s + 3*o = s + 4. Suppose -5*j = 2*z - 12, 3*z - 18 - 19 = 2*j. Does z = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47312.9 years to centuries.\nAnswer: 473.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1632410247*f + 3*f**2 - 1632410259*f + 3*f**2.\nAnswer: 6*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20473267 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 5 = f. Let o(r) = -r**2 + 10*r + 508. Let b be o(-18). Solve -m + x = -f, -2 = -b*m + x + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yayy when four letters picked without replacement from aaayayyaaay.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -0.6, -55 in increasing order.\nAnswer: -55, -7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s - w, 4 = -s - 2*s + 2*w. Is 77\/(s - (1 + -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 - 0.27\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3*k - 2. Let h be j(-3). Let i be 8 - (-3 + h - 1). Solve 3 = w - i*z, -3*w + 0*w + 9 = 2*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - z - 56. Let g be l(8). Suppose 3*i + 15 = 8*i. Solve -3*a + 8 = 2*s - g*a, -i*s - 14 = -2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2063644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 6e?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/408 and -19\/396.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129755293 to the nearest integer?\nAnswer: 11391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/780 and 95\/286.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -b0227 (base 13) in base 10?\nAnswer: -314542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-6)*2277\/(-72105)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 2 + (24 + -14 - -19) - 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 345517239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 4*d + 86. Let z(m) be the first derivative of 0*m**d + 2\/7*m - 9 - 2\/21*m**3. Factor z(t).\nAnswer: -2*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 + -3.08. Let m = 2.8 + y. Let s = -0.3 + m. Put s, 0.1, -0.2 in descending order.\nAnswer: 0.1, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 + -77.66. Let m = 56.34 - w. Let q = m + -56.5. What is the smallest value in q, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of i**5\/30 - i**3\/6 - i**2. Let q be p(-2). Let r be q*157 + 3\/3. What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 3*p + 1. Let w be b(4). Let a be (-3)\/(-5) + 12\/w. Suppose 30 = 6*d - a*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12179 - -12219. What is the greatest common divisor of w and 1896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -54856, -67 in descending order.\nAnswer: 4, -2, -67, -54856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2955*n + 2931*n + 96 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-3)\/36*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 485 + 8374*h**2 + 8379*h**2 - 16747*h**2.\nAnswer: 6*h**2 + 485","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 125.\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 7 - -4 - (6 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -127 - -131. Suppose -16 = l*o + 4*z, 4*z + 16 = -0. Solve 0 = -c - o*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 112 - (3 - -3)\/(-3). Suppose 0 = 2*w - s - 136. Calculate the common denominator of -63\/10 and (-1030)\/8*(-10)\/w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 - 38. Suppose 0*o + 50 = 5*u + 5*o, 3*u = s*o + 55. Suppose u*v - 17*v = -208. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + -245*(4 + -2). Let p = t - -489. Solve -3*j = -p*v + 1 - 5, -5*v + j = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -o - 5*v - 4, -4*o = -v - 153. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 110240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.1 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 626913825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 8\/5*v**3 + 2\/5*v + 11\/5*v**2 - 21\/5*v**4 + 0 = 0?\nAnswer: -1\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1546103, -3092205, -4638307, -6184409, -7730511?\n\"Answer: -1546102*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.55 in -5\/7, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -49*m - 2*m**2 + 26*m + 23*m. Let v(b) be the third derivative of b**5\/30 + 5*b**4\/4 - 27*b**2. What is i(v(k))?\nAnswer: -8*k**4 - 240*k**3 - 1800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 15 = -5*q. Suppose -1 - q = w. Let r = 14 + w. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 12 = o - 0*o, 2*p = 5*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z - 2. Let v be -2*(8\/(-2) + 2). Suppose -3*g = 4*a - 11 - 13, 4 = v*a - 2*g. Suppose a*n = n + 3*o, 8 = 4*n - 4*o. What is y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 + 130\/(-52)*-2*2. Suppose -w + 2*p = -661, -m*w - 5*p = 92 - 3352. What are the prime factors of w?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swxxxxxhhd. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 2031748\nAnswer: 13\/2031748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 + 21*c**2 + c + 31. Let i be y(22). Let l = 734 + i. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 303, 956, 2207, 4242, 7247, 11408, 16911?\nAnswer: 23942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-10) + (-3)\/(-2). Let p be 2\/((3 - n)*15\/(-45)). Which is smaller: 3\/29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34000 by -25.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.001?  (a) -8\/21  (b) -300  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4168, 8374, 12572, 16756, 20920, 25058, 29164?\nAnswer: 33232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3179 and -120.\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -61*h**4\/4 - 2*h**3\/3 - h**2\/2 - 16*h + 63. What is the second derivative of j(p) wrt p?\nAnswer: -366*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18*t**4 + 839*t**3 - 839*t**3)*(1 + 3 - 3) in the form y*t + i*t**2 + x*t**4 + b + d*t**3 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 320 and 450.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.3, -2, 3\/2, -9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 332 - 346. Let r be (-37)\/(-4) - (-3)\/(c - -2). Solve -4*b + 3 = -r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttgggttzzttytg. Give prob of picking 2 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*p - 56 + 76. Let u(s) be the first derivative of -1\/2*s**4 + 1\/2*s**p - 2\/3*s**3 + s + 1\/6*s**6 + 1\/5*s**5 - 1. Factor u(d).\nAnswer: (d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 5*k = -20, 3*x + 3*k + k = 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9461*o**2 - 4656*o**2 - 4786*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -1\/2, -3.\nAnswer: -3, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0915 and -22?\nAnswer: 2.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y**3 + 56*y**2 + 64*y + 13. What are the prime factors of d(-19)?\nAnswer: 2, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-440)\/242 + (2 - (-24)\/(-11)). Is (8750 + -4)*(i\/2)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -1*(-26)\/(-2). Let o be 1\/(-3) - h\/6. Suppose 0*z + 129 = 3*z + i, -o*z + i = -91. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/13 in 0.5, -1, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/2)\/1*-3. Suppose -a*r = -4*r - 2. Let x be (-2 - -3)\/(r\/4). Is -2\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85138, -79922, -74706, -69490, -64274, -59058?\nAnswer: -53842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22929 - i - 22929.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 - 3*a - 5. Let u(m) = 2*m**3 - 181*m**2 + 191*m + 15. Let p(n) = u(n) + 3*y(n). Factor p(x).\nAnswer: 2*x*(x - 91)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -v**3\/2 + 5*v**2\/2 + 37*v. Let t be (-1)\/(1\/(-3)) - 3. Let b be n(t). Solve 0 = -b*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 1 = -2. Let k = 6 - 4. Let i(z) = 5 - w - 3 + k*z + z**2. Give i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v**2 + 9949*v + 69894. Give w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.6 * 571911.\nAnswer: 4346523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 4*y**3 + 7*y**2 + 40*y - 12. Is b(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*g - 12*g + 5*c + 7, 4 = -2*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 - 1) + (6 - (5 - 8452)). Suppose -1559 = -16*o + z. What are the prime factors of o?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -u - 3307, 538*u - 542*u - 13276 = -4*h. Which is greater: -3306 or u?\nAnswer: -3306","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 505280*m + 4547515. What is t(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100917 divided by 2192.\nAnswer: 100917\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 2495.7809 to the nearest 10.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -1) + (-17 - (-25 - (22 - 16))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6142 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 724\/(-40) - 12\/(-20). Let f(w) = 14*w - 3. Let i be f(7). Suppose 0 = -4*a - a - i. Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 3:58 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1408 and 506696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*k**4*o**3 + 20616*k**2*o**3 - 3*k*o**3 + 3637*o**3 + 3*o**2 + 1 wrt k?\nAnswer: 48*k**2*o**3 + 41232*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 6*g**2 + g - 4. Let t be f(6). Suppose 5*s - t*s = 0. Solve -3*h + 8*h = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9956*t + 5*a - 50 = 9951*t, 0 = 2*t + 3*a - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 170 divided by 286536\nAnswer: 85\/143268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*r - 9, 2*r - 13 = -4*c + 21. What is the highest common divisor of c and 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1086*m**2 + 28 - 2412*m**2 - 28 + 1032*m**2.\nAnswer: -294*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.034, 2\/21, 14\/19?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-4)\/(-2))\/((-36)\/171)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -13*z + 21*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 392645, 785282, 1177919, 1570556, 1963193?\n\"Answer: 392637*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 9*g**2 + 11*g + 14. Let d = -743 - -735. Calculate c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177 = 3*k - 4*j, 2*j = 1249*k + 1235*k - 2480*k - 96 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 99478 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*a = 36*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -548*p**2 + 25. Let t(f) = 294*f**2 - 13. Let u(h) = 6*s(h) + 11*t(h). Let o(v) = -3*v**2. Give u(o(q)).\nAnswer: -486*q**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14366.904 months to centuries.\nAnswer: 11.97242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20546200 + -113?\nAnswer: -20546313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*f - 740 + 180 = 0. Solve -52*h + 48*h = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/48*((-35)\/50)\/(161\/46)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46 and (364\/(-78))\/(6\/(-207)*1)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -20, -59, -124, -215?\n\"Answer: -13*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.98 - 0.02. Suppose 4 = -2*y + 6*y. Let s be 23\/(-7) - (13 - 16). Which is the closest to y?  (a) -2  (b) s  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17 + 439345381.\nAnswer: 439345398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37124734 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 4)*(-2 - 6 - 4)*(0 + 2 - 3)*(0*z**2 - z**2 - 2*z**2).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 5 + -10 - -10 - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 12*r**5\/5 - 7*r**4\/4 + 119*r + 198. What is the derivative of p(s) wrt s?\nAnswer: 48*s**3 - 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5785902 and -1.9?\nAnswer: 10993213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 9 = g - 3*v, 3*g - 5*v = 34 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2274b5 (base 13) in base 11?\nAnswer: -508008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s - 1. Let u(n) = n**2 - 9*n + 7. Let c be u(8). Let h be i(c). What is the third derivative of 5*z**2 - 3*z**2 + 3*z**3 - h*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*z - 15*z + 74. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 1293*i - 28374. Calculate q(22).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10.38 + -2\nAnswer: -12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 22 = -3*a, -a - 214*f + 901 = -2*a - 33*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n + 24*n = -12. Suppose -n*c + 4*s + 70 = -s, -2*c - s + 38 = 0. Is c less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2860)\/910 + (-1)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 + 14*a + 16. Let j be q(7). Factor 108 + 29*c**3 + 144*c**2 + 27*c**3 + 8*c**4 + 7*c + 209*c - j*c**3 - 4*c**4.\nAnswer: 4*(c + 1)*(c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + l + 1. Let p(g) = -4*g**3 - 5*g**2 - 2*g. Let v(c) = -p(c) - 3*x(c). Let s be v(-5). Solve 5*o + 3 + s = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 4, 7, 6, -0.06, 1, -6, 3\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131 (base 7) to base 12.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 6*d**2 + 39*d - 5. Determine k(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3644 = -326*x + 3202 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**1\/i)**(1\/15)\/(i**(2\/7))**9)\/((i**(2\/19)*i)\/(i\/i**(4\/7)*i)*i\/(i\/i**3)*i*i\/i**(2\/11)) assuming i is positive.\nAnswer: i**(-153607\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 308, 0, -0.4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2881, -7564, -15369, -26296?\nAnswer: -40345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**2. Let d(a) = -a + 17. Let k be d(2). Let l(p) = k*p**2 + 11981*p - 11981*p. What is l(m(v))?\nAnswer: 60*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 24426 - 49522 + 2113*s + 23825 wrt s?\nAnswer: 2113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 487744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 22*r**3\/3 + 3*r**2 + 2206. Factor b(p).\nAnswer: 2*p*(11*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*i + 5*i, -5*z + 15 = 3*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -773 smaller than -22386\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 r, and 1 l when three letters picked without replacement from {r: 2, l: 4, i: 1, v: 9}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v - w - 2, -4*w - 2 = -3*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5113724*k**2*s**3 + 307*k**2*s**2 + 46*k**2*s + 9*k*s + 2*s**2 - 2*s wrt s.\nAnswer: 30682344*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 11.914821854988?\nAnswer: 14.914821854988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 570595 and 2780.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 251345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-12)*p*(p*p\/(((p**8\/p)\/p)\/p))\/p)\/((p*p\/(((p*p**(-1\/2))\/p)\/p))\/(p**7*p)))**(1\/32) assuming p is positive.\nAnswer: p**(-21\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 5) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-4\/9)\/s**(-1\/5))**(2\/13) assuming s is positive.\nAnswer: s**(-22\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -6*h + 0*h**2 + 3*h**2 - 3*h**2 - h**2 - 5. Let d be z(-4). Suppose d - 19 = -4*f, l - 42 = -5*f. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q**2 - 13*q - 9. Let m(j) = j**2 - 3*j - 2. Let c(d) = 9*m(d) - 2*n(d). Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*t - 7*t + 30 = 0, -15 = 5*t. Calculate the highest common divisor of d and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, h: 2, p: 1, q: 1}. What is prob of picking 1 p and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-2 - 2) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5308477021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {e: 2, n: 5, a: 9}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-12 - ((5 - 0 - 12) + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56 + (-4077)\/72)\/((-1)\/4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 161 + -119. Solve -3*d = c - 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.6  (b) 12  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-30))\/(5 + (-186901)\/37388). Let t = r + 176\/9. Find the common denominator of 27\/5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(6\/543*(-4)\/8). Let q = -60 - m. Calculate the remainder when q is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 8) in base 12?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 8:43 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of k**6\/15 - 3*k**5\/4 + 8*k**4\/3 - 101*k. What is the third derivative of q(l) wrt l?\nAnswer: 48*l - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -11*m + 34. Calculate the smallest common multiple of 16 and c(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 232 - 116. Let i(q) = -11*q**3 + 365*q**2 - 61*q - 145. What is the remainder when r is divided by i(33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -209877 less than -209312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v + 35. Let u be q(16). Does 13 divide -20*(3 - (u - (-52)\/8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 460 and 5428.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189*p = -4*x + 185*p + 2864, -1426 = -2*x + 4*p. Solve 708*d - x*d + 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-56))\/(2\/2541) - 3\/12. Which is bigger: 271 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*f + 10, -7*x = -4*f - 8*x + 10. Solve 2 = -f*b, -3*g - 2*b - 2 = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((-3 + -6 - 0) + 25 + 88)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(((-15)\/9505)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1116 and 2873421.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12125 - -4172717\nAnswer: 4160592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 2:23 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-5) - (15 + -15). What is the nearest to j in -1\/3, -0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 261 - 289. Suppose 0 = 4*c - 20, f = 2*c + 5 + 17. Let u = f + n. Put 3, u, -5 in ascending order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 793 and 54351.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-30)*(-45)\/(-36)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 2880\/7*z + 2700\/7 + 183\/7*z**2 + 3\/7*z**3 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30181 times -139\nAnswer: 4195159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 196.3322 millilitres in litres?\nAnswer: 0.1963322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -122222232 (base 4) in base 15?\nAnswer: -22570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-3 - (-36)\/8). Suppose 0*x = -l*x + 36. What is the greatest common factor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 672\/72*(16 + 26316\/(-1638))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ayay. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9806.\nAnswer: 2, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 20. Let h = -440 - -97. Let d = 346 + h. Solve -3*b = -4*s - d, -3*b = q*s - 3 + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -366010*g - 70293 wrt g.\nAnswer: -366010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 32 = 2*p. What is the tens digit of (-5)\/(0 + (-3)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-4)\/(-4))\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/4))**(3\/11))**(14\/5) assuming c is positive.\nAnswer: c**(-21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2929 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 - 16*u**2 + 4*u + 62. Let j be h(-16). What is the second biggest value in j, -5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j + 14 + 26 = 0. Let z(b) = 55*b**2 - 6*b + 61*b**2 + 4*b**3 + 5 - 173*b**j + 60*b**2 - 5*b**3. What is z(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 75736960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*r + 55*r = 72 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3291 smaller than 10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 75.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52822129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -3. Let z = 0 - v. Suppose i + 2*u + 8 = 0, 83*i + u + 7 = 84*i. Which is the nearest to -1\/4?  (a) i  (b) 0.2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546926212?\nAnswer: 2, 7, 19533079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16976\/14 - (-60)\/140 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 bsusyuuyuyyub. Give prob of sequence uby.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -66 + 28*g + 22*g - 48*g + 1349 as p*g + o and give o.\nAnswer: 1283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1264014548 to the nearest integer?\nAnswer: 35553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24576 by -8.\nAnswer: -3072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 104, 106, 122, 158, 220?\n\"Answer: s**3 + s**2 - 8*s + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 less than -969.2?\nAnswer: -969.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 7, z: 1, o: 4, y: 2}. What is prob of sequence zyd?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p - 25*p = -160. Let q = 14 - 13.8. What is the nearest to 0 in -3, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -11*u + 140. Calculate the remainder when 186 is divided by d(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times 48.51?\nAnswer: -533.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.45 + 0.05. Let j = 1.7 + 0.3. Let q = -7 + j. Which is the second smallest value?  (a) -1  (b) q  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -196*z - 6144. Determine y(-30).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/37 in -5, 0.2, 3.4, 0.05, 0.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 - 9*l + 5. Give d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1662594 = 41*y + 410905. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -781882 or -781883?\nAnswer: -781883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3522*u**2 + 10*u + 73. Let m(x) = -7043*x**2 + 19*x + 135. Let d(p) = -7*j(p) + 4*m(p). What is the second derivative of d(l) wrt l?\nAnswer: -7036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {h: 5, n: 3, s: 3, y: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = 4*q - v, 4*q - 3*q + 5*v = -33. Let i(m) = -6633*m + 172423. Let a be i(26). Is a greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (420\/(-36) - -11)*(-33)\/(-2). Let o(c) = -2*c - 2*c**2 - 5 + 6*c + c**2. Let d(g) = -4*g**2 + 11*g - 14. Give w*o(r) + 4*d(r).\nAnswer: -5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 556*t + 1239. Let n be p(-24). Which is smaller: n or -12106?\nAnswer: -12106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -1. Suppose 0 = 5*c - y*q - 30, -2*c + 18 + 5 = q. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23696417 and 2283992.\nAnswer: 189571336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 262753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 102333 + 4?\nAnswer: 102342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -210 * -0.2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9220860 divided by -167652.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128354239 is divided by 42784743?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12498892352468 and -2?\nAnswer: 12498892352470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (174*z**3 - 18632*z + 18632*z)*(-2 + 0 + 4 - 2*z**2).\nAnswer: -348*z**5 + 348*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 5*b - 16 = 0, 3*b + 8 + 7 = 0. Let x = 194 - 188. Calculate the remainder when x is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 28 = 2*k. Suppose 3*c = 9, -2*v + 10*c - 5*c = k. Solve 4*d - 4 - v = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 90158988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -31, -1, -3, 1, 2, -7.\nAnswer: -31, -25, -7, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 25*w**2 - 136*w - 12. What is the units digit of o(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*j + 61 = 0, 3*b + j = -0*b + 45. Suppose 0 = -13*y + b*y - 93. What are the prime factors of y?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (27\/(-15) + 0)\/((-15)\/(-50)). Put 1, u, -7, 3 in decreasing order.\nAnswer: 3, 1, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8382723 hours to nanoseconds.\nAnswer: 3017780280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + sqrt(192) + 3)*-6*5 + (1 + sqrt(300))*-1 + -2*sqrt(300)*-2)**2.\nAnswer: 81900*sqrt(3) + 615781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**4\/12 + r**3\/3 - 8*r. Suppose -2*i = 2*i + 28. List the prime factors of n(i).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4\/5 - 609*w**3 - 33132*w**2\/5.\nAnswer: -3*w**2*(w + 11)*(w + 1004)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 285010404 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -21152267 divided by 6\nAnswer: -21152267\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of 13\/6*n**3 + 0 + 0*n + 9*n**2 - 59\/24*n**4. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/20 and -55\/177324.\nAnswer: 886620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27486*k**2 - 494*k.\nAnswer: 2*k*(13743*k - 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z - 10. Let a be ((-9)\/6)\/((-3)\/12). Let h be l(a). Suppose 0 = -h*q + q + 49. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (1 - (2 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 10:45 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/4 + 2*n + 0*n**3 - 1\/4*n**4 + 3\/2*n**2.\nAnswer: -(n - 3)*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g = -25*g + 5. Let a = 0 + 5. Suppose -a*b = -49 - g. Calculate the remainder when 39 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 397, 5, -1, 125 in descending order.\nAnswer: 397, 125, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3471237.\nAnswer: 3, 7, 11, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145072 is divided by 17938.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 1)\/(3\/(-141)). Let q = v + -30. Calculate the greatest common factor of 85 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 17, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + o + 1. Let i(g) = 9*g**2 - 5*g - 3. Give i(x) + 3*j(x).\nAnswer: 12*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/7 and -1 + -2 + 236\/(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2591781.9 to the nearest 10000.\nAnswer: 2590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/45, -4, -10, -1.\nAnswer: -10, -4, -1, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 212.429963044 - 212.43. Round z to 7 dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 200 divide 171569600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -136 + 61 + 100 - 31*p**2 + 8*p - 9*p**2 - 23*p.\nAnswer: -5*(p + 1)*(8*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-24))\/((-6)\/(-36))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-1) - (6 + -4) - 3624002. Round f to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 163 + 147. Let r = p + -307. What is the smallest value in r, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.026 * -1\nAnswer: -1.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.5875 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43 - 16. Calculate the remainder when 51 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 50*j**2 - 48*j - 161. Give o(51).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 97 - (-53 - (-7 - 45)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5177006?\nAnswer: 2, 19, 136237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3040)\/(-171) + 4\/18 - -1. Suppose -2*i - i + 4 = 2*p, 0 = -3*p + 2*i + w. Solve -6 = -n + g, p*n - 2*g + g - 26 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 173*x**3 - 137*x**3 + x**2 - 22*x**2 - x - 72*x**2 as v*x + u + k*x**2 + g*x**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f. Let g(k) = -1 + 0 - k - 4 + 2*k. Let t be g(7). Let p(s) = -7*s. Let j(y) = y. Let n(h) = t*j(h) + p(h). Calculate n(r(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 149 = 511. Suppose 0 = 4*v - 0*v - 2*w + 142, v = 5*w - 22. Let g = v + f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 2. Let c be s(0). Suppose -m - 3*f - 12 = 0, -2*f + 13 = -4*m - 7*f. Suppose -o + m + 1 = 0. Solve o + 2 = c*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/8 - 7*t**3\/2 - 83*t**2\/4 + 105*t\/2 - 225\/8.\nAnswer: -(t - 1)**2*(t + 15)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 5) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7980*w**3 - 6614*w**3 - 82*w + 82*w.\nAnswer: -14594*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 24025 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 4)\/(1\/73). Let g = b - 45. Suppose -5*f = -4*h - 58, f - 3*f - h + 31 = 0. Calculate the highest common divisor of f and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 137385719*s**3 + 8*s**2 - 51664095 wrt s?\nAnswer: 824314314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.035, 5\/3, -275\/23?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of u**6\/12 + 3*u**5\/10 - 3*u**4\/8 - 11*u**3\/6 - 3*u**2\/2 + 1147. Let m(x) = 0. Calculate x.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 88 + 73 = 0. Let t = 31 - j. Let c(q) = -q**2 + 9*q + 4. Calculate c(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(675\/(-60)))\/((-4)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3808 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4730*o**2*r**5 + 6*o**2*r**4 + 8*o**2*r**2 - 3021*o**2*r wrt r.\nAnswer: 283800*o**2*r**2 + 144*o**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**3 - 7*r**3 + 30*r**2 + 2*r**3.\nAnswer: -2*r**3 + 30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1100) - (sqrt(1100) + sqrt(1100) + 1)*6 - (0 + (-3 + sqrt(1100) - sqrt(1100))))*-2)**2.\nAnswer: 95040*sqrt(11) + 19167696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11513713 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1859715253?\nAnswer: 11, 89, 349, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - d - 2 = -58, -86 = -5*l + 2*d. Suppose 51 = 3*b + k, -85 = -4*b - b + 3*k. Suppose 4*x - b = 19. What is the greatest common factor of x and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 57*h - 62*h - 25, 3*d + 37 = -5*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 4*s - 16, 16 = 4*s - 5*c - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 247841 = g, 56*l = g + 62*l - 247829. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 5:05 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217 = 38*s + 505 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 23 + 21)*(-k + 0*k + 2*k)*(2 - 2 + 2*k).\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*l - 5*n + 2*n, l = n. What is the lowest common multiple of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26373.2 to the nearest one hundred.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 1. Let s(u) = 5*u + 3. Let t = -21 + 22. What is t*s(f) + 4*y(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 + -14. What is the units digit of (-5 - -7)\/(2\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 + -32.7. Which is the smallest value?  (a) -1\/2  (b) h  (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -52 - -90. Let j be 0\/(-7) + (-4)\/g. Which is the biggest value?  (a) j  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-16)\/100)\/((-16)\/120))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - x + 3. Let r be s(-3). Let b = -12 - r. Is 7 a factor of ((-19)\/(-3))\/(b\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, b: 2}. What is prob of sequence gbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 31, 0.4, -2, 0.1, 0.101?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - s. Suppose -q - 5 = -11. Let m(f) = -6 + q - 4*f**2 + 0*f**2. Calculate m(n(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (76\/8)\/(-19)*(-4)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68002688 is divided by 68002682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19766958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 3*n + n)*(2 - 3 + 2)*(-2*n**3 + 4*n**3 + 2 + 2).\nAnswer: -8*n**4 - 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2))\/(369\/(-82))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 57771 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -404946632 - -3615.\nAnswer: -404943017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s\/(s*s\/(s*s*s**1)*s*s))*s\/(s*s**(-21)*s))\/(s**23\/(s*s**(-29)\/s*s*s)) assuming s is positive.\nAnswer: s**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 966072126 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35 - 327*t + 898*t - 35.\nAnswer: 571*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9184 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -1 - (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -2 - (3 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -a1cb (base 14) in base 6?\nAnswer: -332435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 28, 15, -30, -119, -264, -477, -770?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, z: 1, f: 4, l: 3, i: 4, t: 1}. Give prob of sequence izl.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-610)\/732*(-2)\/5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = z + 11, 5*z + 19 + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8594986*l**5 + 6*l**3 + 2*l**2 + 3738100*l + 1.\nAnswer: -515699160*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(2\/17)*q**(-1\/12) assuming q is positive.\nAnswer: q**(211\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1.60692 * -4\nAnswer: -6.42768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3130458 by 521743.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -3. Let c(k) be the first derivative of -k**2 - 13*k - 139. Let g be c(f). Solve 2*a + g = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 5*w**2 + w + 2. Suppose 3*r = -4*h + 2*h + 126, -r + 3*h + 31 = 0. Suppose -9*v = -v + r. What is q(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 14466*i - 2472674. Give w(173).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b**4\/6 + 276400*b**3\/3 + 12732734533*b**2 - 76397236400*b\/3 + 76397512801\/6 = 0. What is b?\nAnswer: -276401, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 29119 = -3*r + 130949, 0 = 4*o + 5*r - 320140. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 - 16*g - 59. Let v be o(-17). Let k = -73 - v. Let l be 1 - (6 + (-3)\/k). What is the second smallest value in -0.7, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*h - 37 + 61 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + 2)\/((-6)\/4). Let q = -23 + 23. Let m be (q + 1)*(-1)\/(-3). What is the second smallest value in m, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -5*p**2 - 4*p - 3. Let d be c(-2). Suppose 5*z - d = z. What is the lowest common multiple of 18 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g + 133. Let y be d(-32). Solve -q - y*m = 19, -2*q - q + 5*m + 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/7 - 147920*n\/7 - 2735040800\/7.\nAnswer: -2*(n + 36980)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-44)\/(-12) - (-1)\/3. Let r = 430 - 412. Suppose -j = j + 2*n - r, h*n = -5*j + 42. Solve 3*d = -3 - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**4\/6 - n**3 - 4*n**2. Let h(r) = 8*r - 12. Let c(l) = 6*h(l) - 13*z(l). Let g be c(4). Which is greater: -11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*(-3)\/(36\/40). Let i be (-3)\/12*(-16)\/v. Sort i, -4, 2\/7.\nAnswer: -4, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s + 1. Let m(z) = -1157*z**2 + 23140*z + 5785. Give m(n) - 5785*w(n).\nAnswer: -1157*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2095 + 2095. Let n(g) be the first derivative of g**2 - 1\/2*g**4 - 1\/3*g**3 + p*g + 1\/5*g**5 + 8. Let n(q) = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 735 + -734.7. What is the fourth biggest value in v, 0.1, -0.22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*z**4 + 6*z**4 - 10*z**4 + (-2*z + z**4 + 2*z)*(1 + 5 - 5) - z**2 - 2*z**4 + z**2.\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gopo when four letters picked without replacement from opoooppogppopp.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 4:05 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.16 + 0.1632. What is l rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l - 10. Give i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.83 minus -3.01?\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -17 - (8217 - 8352)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58771, -118157, -177541, -236923?\nAnswer: -296303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 19. Suppose -s = -j + 4*q, -q = 4*j - 2 - 3. Suppose -j = -3*y + y. Calculate the lowest common multiple of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5763 - 1311 = -23*g - 139*g + 3*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 35 = 27. Let x be 7\/(84\/(-9))*i\/3. Determine k so that 2*k + 2 + x*k**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 66 - 395*t + 195*t - 71*t**3 + 200*t wrt t?\nAnswer: -213*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {y: 7, d: 5, o: 4, k: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((1*sqrt(8) - sqrt(8))*-2 + (sqrt(96)\/sqrt(3))\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1477964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**3 - 6*f**2 + 13*f - 25. Calculate z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64009677 is divided by 8419?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2353*z - 225689. Determine l(-96).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -37\/9, -0.1, 14?\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.93  (b) 2  (c) -17  (d) -0.4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i - 2. Let l be (-1 - 1)*10\/(-4). Let f be (-3 + (l - 2))\/(-2). Let z(y) = -y + 3. Let w be z(f). Determine g(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/(-34) + 2923\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131*l - 460*l**3 - 131*l + 0*l**3.\nAnswer: -460*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*h = 75*h + 226*h + 7791 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1508 by -178.\nAnswer: -754\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -2)*20\/(-5). Suppose 2*d = -w*s + 110, -4*s + 8*s - d = 101. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - (sqrt(66)*-1 + sqrt(66)))*2 - (-2*sqrt(66)*-4 - sqrt(66)))\/(-4*(sqrt(24)*-2)\/sqrt(4)).\nAnswer: -5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 104586887 to the power of 1\/2, to the nearest integer?\nAnswer: 10227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.46 + 0.11. Let y = a + -0.05. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26712, 26690, 26668, 26646?\nAnswer: 26624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/10 + 73*o**2\/10 - 21*o.\nAnswer: -o*(o - 70)*(o - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 - 68. Let h = x - -92.999882. What is h rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2436598cm in meters?\nAnswer: 0.002436598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16525469 divided by -9.\nAnswer: -16525469\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 - -71. Let y be (-3)\/(3\/4)*l\/10. What is the units digit of 8*(-68)\/8*(-3)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u - 873 = -295*n + 304*n, 5*n - u + 468 = 2*u - 36 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -477 != -180307\/378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/28)\/((-2)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 3:34 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 533 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 0 + -4 + 72 + -62.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11251981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((-1176)\/(-1260))\/(2\/(-6)) - -1?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 + 2*v**2 - 3*v**2 + (1 + 1 + 0)*(4*v**2 + 442*v**2 - 163*v**2).\nAnswer: 567*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.049496 * 16\nAnswer: 0.791936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -10010?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3554387 is divided by 1184764.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 - 3 - 1 - -1. Let h be (-1)\/(((-2)\/3)\/k). Suppose -19 = -4*g + 25. Solve -4*d - 5 = -2*q - h*q, -4*d - g = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/((-4)\/40*-5). Suppose x = -w*d + 16, -4*x + 5*d - 3 = -4. Solve 0 = -x*r + 20 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 773*i**7\/210 - 644*i**3\/3 + 1026*i**2. Differentiate z(a) wrt a.\nAnswer: 3092*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -218, -4, -0.1, 1\/5, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 129  (b) -0.2  (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 - -29. Solve x*t - 5*i - 11 = 0, 5*i = -5*t + 2*i + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2555935ug in nanograms?\nAnswer: 255.5935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 21*s - 8 - 40*s**2 + 39*s**2 - 3. Suppose 5 = 2*d - 9. Calculate the remainder when r(19) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, -499, 11, -1\/5, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1504125, -3008118, -4512099, -6016062, -7520001, -9023910, -10527783, -12031614?\nAnswer: -13535397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 20 = 4*k, -z - k + 5 = -6*z. Suppose 8*s + s - 18 = z. Solve d - 1 = -s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnii when four letters picked without replacement from nniiiiiii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -114 - -118. Put 2, c, 1, -5 in ascending order.\nAnswer: -5, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (142390\/3928)\/(30\/28) + -32?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -35193, 5 in descending order.\nAnswer: 5, -2, -35193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4996 - -7466. Is j a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -d**6\/120 - 3*d**5\/20 + 3*d**4\/8 + 2*d**3\/3 - 6*d**2. Let l be z(-10). Let n = 57 - l. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 18*j + 58. Let k be u(15). Suppose 8 = -7*z - k. Which is the closest to -1\/2?  (a) -0.1  (b) z  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241242348 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 7, -4, 5, -8 in increasing order.\nAnswer: -8, -4, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2 + 16 = -j, j - a + 14 = 0. Let p = 1 + j. Let l = 2 - p. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.09 in 1, -0.2, 5.19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 + 30*u**2 + 29*u + 589. Give q(-15).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276 divided by -104?\nAnswer: -569\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**5\/2 + z**4\/12 - 2*z**3\/3 + 5*z**2\/2 - 3339*z. Let g(u) = -5*u**3 - u**2 + 2*u - 2. Calculate -5*g(r) - 2*x(r).\nAnswer: 5*r**3 + 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 216185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 161, 657, 1485, 2645, 4137, 5961, 8117?\nAnswer: 10605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8196*h**2 - 4*h - 3*h + 0*h - 12*h + 18*h.\nAnswer: 8196*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7603 - -13768. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5622 = 2*l, 0 = 3*l + 4*s - 10342 + 1911. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x - 13. Calculate the lowest common multiple of d(-17) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1792 and 18464.\nAnswer: 1033984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-7)\/1455)\/(-5 - (-8112)\/1680) and -31\/2037.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -632870*f**3 + 3*f + 1168730 wrt f?\nAnswer: -3797220*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46283 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/18 - ((8\/1188)\/((-110)\/78315) + 5)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 4*x, 4*g = 2*x + 320. Let f = -736\/9 + g. Which is the third biggest value?  (a) 0.5  (b) -2\/25  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31654.12 + -32536. Let l = 887 + a. What is l rounded to 1 decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(227 + 248 - 12)*(5*r - 4 + 4).\nAnswer: 2315*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 468396 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2003902774?\nAnswer: 2, 127, 547, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 186614435 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -s**6\/30 + s**4\/12 - s**3\/3 - s**2 + 168*s. Let z(i) = -12*i**3 + 7*i - 7. Let o = 14 + -12. Give o*z(t) - 7*y(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14  (b) -0.15  (c) 1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-6))\/(6\/18*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 1270.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -11*t**2 + 9*t - 9. Let x = 476 - 485. Let y(b) = 4*b**2. Let h(q) = q**2 - 4*q + 4. Let j(l) = h(l) + y(l). Determine x*j(k) - 4*s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**2 - 34*s - 60 = 0. What is s?\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6414*l**2 - 590091*l\/2 - 69.\nAnswer: -3*(l + 46)*(4276*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 7*g - 26 = 0, 132*w = 131*w - 5*g - 2 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64818.\nAnswer: 2, 3, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*a + 84 + 42 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 95 + 225. Suppose -j = j - s. Suppose 0 = 4*o + 1 - j. Solve 0 = -m + o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**2 - 72*f + 160 = 0. Calculate f.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from dzzzzddzdzzztdzzdzdz?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 2 + 4 + 3*f**2 + 4*f**2 + 0*f**2 - 6*f**2 + 0*f**2 + f**2 - 2*f**2 + (0*f + 5*f - 3*f)*(0 - 2*f + 0).\nAnswer: -6*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = i + 2*q + 2, 5*q = -10. Let c(a) = a**2 - 2*a + 2. Let s be c(2). Sort s, -2, i in descending order.\nAnswer: s, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3261475, -3261524, -3261575, -3261628, -3261683, -3261740?\n\"Answer: -q**2 - 46*q - 3261428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12322233 + -233?\nAnswer: -12323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*z + f, 10 = 4*z - 2*z - 2*f. Solve z = -3*c + 2*l, 2*c + 3*l - 10 = 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 5*j - 1 = l, -3*l + 1 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, t: 11}. What is prob of sequence tt?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -40. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -90947541*x**3 + 4*x**2 - 6164128*x + 1?\nAnswer: -545685246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-11))**5 assuming m is positive.\nAnswer: m**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 o when four letters picked without replacement from btozbtozizztztzzozo?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add 84.4 and 0.247.\nAnswer: 84.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -69228, 4 in descending order.\nAnswer: 12, 4, -69228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.258 + 9.258. Which is the closest to 0?  (a) v  (b) -0.05  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 386512 and 696?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1550979 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1089671?\nAnswer: 11, 23, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3537, -3358, -3179, -3000?\n\"Answer: 179*a - 3716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.31 or 12\/11?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1082514610139102 - 5*h**2 - 1082514610139102 + 16*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-130823)\/(-5) - ((-84)\/10 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*v - 9*v + 0*v)*(-2*v + 2*v + v) - 7 - 8*v**2 + 7 + (-1 + 1 + v)*(22*v - 2*v - 7*v) in the form h*v**2 + m + i*v and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -10734, 1\/3, -1\/2, 0?\nAnswer: -10734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*b = -2*h + 77, 20 = -4*b. Let v = h - 44. Let j = 53 + v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 14 = -2. Let p(x) = -x**3 + 6*x**2 - 6*x - 4. Let j be p(z). Suppose -j*g + 7 + 9 = 0. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 7 + 3*k + k**2 - 1 + 3*k - 5*k. Suppose y = -y + 8. Let i be 0 - (4 - y)\/(-3). What is w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3087*i + 1612*i - 84582 = 0 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 474809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1748, -1131.\nAnswer: -1131, 5, 1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**3 - 5*g**2 + 5*g - 5. Let x be (2\/5 - (-3)\/5) + 1. Let d(a) = a**3 + a**2 - a + 1. Determine x*y(j) + 10*d(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (9\/189)\/(-4*3\/(-108))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -70, -34, 100, 374, 830?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**3 - 66*q**2 - 1015*q - 32. Let z(g) = -g**3 - 22*g**2 - 314*g - 11. Let a(s) = 4*o(s) - 13*z(s). What is a(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -112 + 117. Suppose -2*d + 3*d - x = -r, 3*r = -2*d + 14. Suppose 2*w = -r*q - w + 4280, -5*q = -5*w - 5385. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69192564?\nAnswer: 2, 3, 7, 823721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d = 9*d - 15, -3*d + 217 = 2*l. Let q = 120 - l. Solve -6*r = -2*r - 3*p - 8, 2*p - 8 = -q*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 31, 26, 21, 16, 11, 6?\n\"Answer: -5*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 298972, 298971, 298970?\n\"Answer: -w + 298973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*g + 93*g = -14*g - 628 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-434)\/(-3255))\/((-1)\/(-240)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*h - 2*h. Let c be 3\/h + 1*4. Calculate the highest common factor of c and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -9892*d + 12. Let t(u) = 79134*u - 99. Determine 33*l(s) + 4*t(s).\nAnswer: -9900*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-414)\/((-120474)\/(-485))*1\/(185\/6)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 336 - 331. Solve h*j = 5 - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1237236 at most as big as -1237214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*r, -5*d = -0*d + 3*r. Suppose d = -3*j, q - 254 = -0*j - 2*j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3645, 3374, 2931, 2316, 1529, 570, -561?\nAnswer: -1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 28 - (-28 - -34 - (-2 + -1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 15*t + 1119. Let o be m(0). Let y = o + -762. List the prime factors of y.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 570\/630 + (-2)\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - f - 4 = 0, -5*u + 0*u = -5*f - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tltlptvtlpvn. Give prob of sequence vllv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/4 - 4*-1. Suppose -b - 2*b - 2*n - y = 0, 0 = 3*n. Let o be ((-2)\/(-1) - b\/(-2)) + 1. Solve -v + 11 = -0*v - 4*t, v + o*t = -7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -7. Let c = -11 + k. Let q = -792 - -792.1. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(22\/3)*f**27 assuming f is positive.\nAnswer: f**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 + 19*n + 2. Let w be z(-12). What is the first derivative of -6*g**3 + w + g**2 - g**2 - 47 wrt g?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/7 and 0.34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 109544720 - 281121.\nAnswer: 109263599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48519616.\nAnswer: 2, 19, 39901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59346201 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/9  (b) 43  (c) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t - 11. Determine v(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -138 - (-26 + -66 + 9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*x - 4*x + 2937 = 0, 5*g - 2*x - 4895 = 0. Suppose 2*i + 0*i - g = 5*l, -4*i - 577 = 3*l. What is l rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20651443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 2 - -1) + -23. Let h(b) = -b**2 - 6*b - 10. Let x be h(-6). Let y = x - d. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 + 3*v**3 + v**3 + (4*v**3 - 3*v**3 - 2*v**3)*(0 - 5 + 4) + 3*v**3 - 2*v**2 - 3*v**3 - 2*v**3 - v as q*v**3 + m + l*v + a*v**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 70*z**2 - 843*z + 35. Calculate a(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1445 is divided by 359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 74111\/14620 - 14\/731. Find the common denominator of o and 2*-1 - (3\/(-75))\/((-88)\/(-9460)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -5*y - 78 - 77, -105 = 3*y - 3*n. Let r(x) = -34*x**2 + 2 + 58*x**2 - 33*x**2. Let u be r(2). Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2022 and 2968970.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: a (base 13) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/(-24) + 160\/6. What are the prime factors of 4\/(-4 + 8) + a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -25, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -42*j**2 + 37*j**2 - 2 + 5*j**3 + 5*j - 6*j**3. Let k(m) = -m - 1. Let i be k(5). Calculate the remainder when 16 is divided by t(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -5, 0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1276441 and 0.2?\nAnswer: 255288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 + 1112100201?\nAnswer: 1112100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-189)\/(-35) + 4\/30*-3. Solve -2*u - 2*p = 0, -3*u + x*p = 2*p - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1124*k**2 - 560*k**2 - 563*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from addaadadhhedaeahdaa. What is prob of sequence he?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -575*k**6 + 9*k**5 - k**3 + 53105*k**2 + 2*k wrt k.\nAnswer: -69000*k**3 + 540*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (-97)\/(23474\/(-8008)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -12*o**2 - 7*o - 3. Let n(s) = -1. Let m = -11 - -8. Let b(j) = m*u(j) - 12*n(j). Let c(l) = -7*l**2 - 4*l - 4. Determine -4*b(f) - 21*c(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 40841035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -481 - -491. Suppose 6*r = t*r - 3760. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1887, -1\/6, 1\/14, 0.1?\nAnswer: -1887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 9 - 3. Suppose -5*h - 31 = -u. What is the second biggest value in -1, 2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 - 15 + 14*j + (3*j - j - 3*j)*(2 + 5 - 3).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 247, -2, 9024, 4 in descending order.\nAnswer: 9024, 247, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.866 + -2.266. Put -2\/17, -3, q, 0.05 in descending order.\nAnswer: 0.05, -2\/17, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64085 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 8:40 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 2*q**2 + q - 2. Suppose -6 = -2*b - b. Let x be t(b). Is x less than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2156 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26924.8981 + -26926. Let z = -1.1 - q. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -37*z + 124 + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 25*l**2 - 25*l + 28. Let k be x(24). Let t be k + 0 + -4 + 6. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*g**3*s**3*v + 4*g**3*s*v + 9*g**2*s**3*v - g*s**2*v + 5*g*s*v + 5*g*s + 6*s**3*v wrt s.\nAnswer: -36*g**3*v + 54*g**2*v + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000195568753 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*l - 2247 = -1267. Let z(u) be the third derivative of u**4\/8 - u**3\/6 - u**2. Give z(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*h - 8*h + 2*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 25 = -7. Is 10\/(-80) + (-7097)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 44175\/(-125) + ((-6)\/10 - -1). Let r = h + 409. What is the lowest common multiple of r and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-396)\/120*258\/(-387).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 950175 and 675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20*r*t**3 - 13*t**3 wrt r.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/1413 and -20\/4239.\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285400?\nAnswer: 2, 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 22505552 (base 6) to base 14\nAnswer: 140976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.07 - -1.07. Is 1\/14 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212 - q**2 + 12 - 224.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2243\/2 or 1121?\nAnswer: 2243\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g + 4. Let k be r(0). Is 6 a factor of ((-135)\/6)\/((-3)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 39  (b) -3\/2  (c) -6  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -615*d = -620*d + 101440. What is the highest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.29 + 7. Let p = -30.99 + 31. Let j = o - p. What is the closest to -1\/4 in 2, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 0.3  (c) -30.902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 65818, 65816, 65814, 65812, 65810?\n\"Answer: -2*f + 65820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 18066 times -0.03085\nAnswer: -557.3361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -199 plus -241?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -1601*v + 14390. What is t(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 6*i - 9. Let d be 13 + -5 + 3 + -3. Suppose 10*f + r = d*f + 29, 0 = -4*f + 4*r + 64. List the prime factors of c(f).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00017139 rounded to six dps?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oidd when four letters picked without replacement from ddddhhdddddiodoooy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, u: 17}. What is prob of picking 1 u and 1 g?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3\/5*q**3 + 0*q + 0 + 1\/5*q**2 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -95 - -95. Let f = -12.8 - -13. Which is the second smallest value?  (a) -0.61  (b) n  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7575 and 1717?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.96 - 651.04. Let g = s - -665. What is the smallest value in g, 1\/2, -7.9?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 - 29. Let b be 4 - f - 1 - -1. Factor b*g**5 + 17*g**3 - 14*g**3 - 2*g**5 - 4*g**5.\nAnswer: -3*g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 8:09 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7072 and 12512.\nAnswer: 162656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*o**2 + 12795 - 80*o**2 - 84879 + 158*o**2 + o.\nAnswer: 2*o**2 + o - 72084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**7)\/l**(-2))\/(((l\/(l*l**(1\/6))*l)\/l)\/((l**(-2\/7)*l*l)\/l)) assuming l is positive.\nAnswer: l**(457\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -1995*m + 2864. Let c be b(0). What is the highest common factor of 80 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 24*r + 1040. Give l(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 4*l**2 - l + 5. Let f be j(-4). Suppose 3*o - 8*t + f = -4*t, 5*o = 5*t - 15. Is ((-3246)\/o)\/(0 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 732000 to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -350 divided by 14\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 14*v - 40. Let a be d(9). Let l be (0 - 24)*(-2 - 0). Suppose a*m - l = m. Solve -4*x = t + m, 4 = -x + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 222*z. Let q(d) = -150*d + 1. Determine 5*a(b) + 8*q(b).\nAnswer: -90*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -153606 + -5?\nAnswer: -153614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -185, -3, -2 in increasing order.\nAnswer: -185, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4068 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 47\/9 - 5. Let v = -0.42 - -0.25. Let y = v + 0.2. Sort m, 0.4, y in increasing order.\nAnswer: y, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 164\/7 - (-88)\/154. Calculate the highest common divisor of k and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 19 = s, -2*s + 4*f = -3*s + 15. Let n = s + -16. Suppose -8*k + n*k = -1. Solve -k = -3*d + 3*i + 5, 4*i - 16 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*((-130)\/(-39) + (-6 - -2)). Sort -558, -5, p in increasing order.\nAnswer: -558, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.1 + -159.9. Let t = 243 + x. Let v = -80 + t. What is the closest to 1\/3 in -0.08, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cucceueu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.2, 22, 26 in descending order.\nAnswer: 26, 22, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 61 = -64. Let i(o) = -4*o + 3. Calculate i(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*o*w**3 + 2*o*w**2 - 32*o*w - 146*o - 4*w**3 - 6869*w wrt o.\nAnswer: -66*w**3 + 2*w**2 - 32*w - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 4*i**2 - 5*i + 3. Let l = 4 + -16. Let g = l + 28. What is the remainder when z(6) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 91*m**2 - 4*m. Let r(t) = 4731*t**2 - 209*t. Calculate 209*h(j) - 4*r(j).\nAnswer: 95*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -136 + 138. Let n(t) = t - 6. Let q be n(5). Let c = 4 + q. Solve 0 = y*z - c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02741 times -6?\nAnswer: -0.16446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 - -15. Suppose 0*a - 2*a + 336 = 0. Let m be 3 + (a\/z)\/4. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37965 is divided by 12654.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 161 + 3602*o**2 + 450 - 611 in the form w*o**2 + z + p*o and give w.\nAnswer: 3602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10242\/12661 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2261572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4*(-22 + (390\/12 - 20))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from wwwrrwwr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/13, -1120, 6.\nAnswer: -1120, -4\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/(-15))\/(-3)*(-320)\/224\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 59857617587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v - 3. Let m be s(-3). Let a be ((m - 5)*-1)\/(2\/(-10)). Let x = -1 - a. Calculate the lowest common multiple of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -626*l**4 - 2*l - 175 wrt l?\nAnswer: -7512*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001347282421 rounded to seven dps?\nAnswer: -0.0013473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, 7\/9, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 32, 222, 786, 1910, 3780, 6582, 10502?\n\"Answer: 31*p**3 + p**2 - 30*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -644*j + 22999. Calculate f(35).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14 + 14 - 2*u**2 + (10 - 10 - 7*u)*(0 + 0 + u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -197 + 199.11. Let z = -1.61 + g. What is the nearest to 12 in 0.4, -2\/15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ffffpppfpppppppp?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164*y - 215742625 + 56611785 = 0. Round y to the nearest 10000.\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r**2 + 6*r + 7. Let w(q) = -2*q**2 + 4*q + 4. Let s(v) = -3*j(v) + 5*w(v). Let h(o) = 3*o**2 + o - 1. Give 8*h(x) - 5*s(x).\nAnswer: -x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76 - -71) + 35 - -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) + 1 + sqrt(2299) - sqrt(2299) - -1*sqrt(76)\/sqrt(4)) + -3)*5 + 5.\nAnswer: -5 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**2 - 7603592*i + 14453652825616 = 0?\nAnswer: 3801796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2389?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5 + -3 + 3 + 2 + (-18)\/(-5). Which is the nearest to 1?  (a) -4  (b) g  (c) -1\/5  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15577 + 19493 = 30*z. Is 50 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of 2\/15*r**3 + 1\/30*r**6 + 1\/5*r**4 - 4\/25*r**5 + 2\/5*r + 2 - 1\/2*r**2. Suppose y(x) = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 4180?\nAnswer: -4177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**3 + 26*o**2 - 29*o - 20. Determine a(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(637) + 1 + -4 + (-2 + sqrt(637) - sqrt(637) - sqrt(637)) + 0 + -4 + sqrt(637) + -1)**2.\nAnswer: -84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 908788.5 litres in millilitres?\nAnswer: 908788500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97, 86, 71, 52, 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 1466*k**2 + k - 1349*k**2.\nAnswer: 117*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-3 - -5) - (-1 - (-2 + 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2223096103\/2436 - -912601. Calculate the common denominator of 20\/27 and n.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30055217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((2 - (-5 + 2)) + -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 144\/335 + -2\/67. Let j = 5\/63 + -2\/9. Which is the closest to m?  (a) 3  (b) 4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 4*h - 9. Let d(w) = -w + 2. Let m(b) = 18*d(b) + 4*g(b). Let f(v) = 3*v - 8. Let t be f(4). Let p(u) = 4 + 5*u - t + u. Calculate p(m(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {v: 5, l: 3, b: 5, o: 1, y: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, j: 7, r: 2}. Give prob of sequence jjjj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}