{"text":"Question: What is the next term in 291937, 291956, 291963, 291952, 291917, 291852, 291751, 291608?\nAnswer: 291417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -820 + 822. Let f = -0.4 - -1.1. Let j = 0.4 - f. Sort j, p, 4 in descending order.\nAnswer: 4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8a0f05 - -4e?\nAnswer: 8a0f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253*r + 4759 = 80*r + 88 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 3 - 4)*(1 + 2 + 1 + (0 - 2 + 0)*(4 - 4 + 1) + 2 - 2 - 1 + 7 - 6 + 3)*(-13*l**2 - 20 + 20).\nAnswer: -455*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**4 - q**4 + 2*q**4 - 3*q**2 + 2*q**4 + 3*q**2 + (-2*q**3 - 4*q + 4*q)*(0 - q + 0) + (1630*q + 737*q - 247*q)*(q - q - 2*q**3).\nAnswer: -4237*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6187749 * 9\nAnswer: -55689741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 54 - 21. Let g = 46 - w. Calculate the remainder when 37 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**3 - 4 + 5*q**2 - 2 + 6 + 7*q**3 to w*q**2 + d*q**3 + i*q + x and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 2) + (-7 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53126 and 16232360?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117743 is divided by 327?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1*1\/(-1))\/(1807\/702). Let v = 7119\/2224 + a. Which is greater: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1427861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixty-four thirds of a year?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 564596587?\nAnswer: 564596587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 105*(-24)\/600*(-10)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4339*g - 2449*g**3 - 1295*g**3 + 113753 - 113753 wrt g?\nAnswer: -22464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 753810 and 2110668.\nAnswer: 10553340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-233*t - 5172 + 5172 + t - 2*t + 0*t + (1 + 0 - 3)*(0*t - 2*t + 3*t) + 0 + 0 + t)*(-4 - 4 + 5) as s + j*t and give j.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 674 a factor of 380810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245782*x**2 - 736507*x**2 + 245357*x**2 + 245367*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 7*o - 81. Let m be q(13). Suppose 0 = m*j + 50. Let f = -2 + 3. Which is the closest to f?  (a) -2  (b) j  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 9*w**2 - 9*w - 4. Let t(q) = -3*q + 1. Let o be t(3). Let j be s(o). Calculate the smallest common multiple of (-8)\/10*(-50)\/j and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 213027317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = l + 1. Let r be 17\/2 - l\/(-10). Suppose r*z - 185 = 4*z. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*(-3)\/(-45)*(-20)\/40. Which is the nearest to -1\/4?  (a) 0.6  (b) k  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2894803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/3986 and 35\/436.\nAnswer: 868948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v + 2194 - 2194.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 - 60*k + 107. Calculate l(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 6:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 79804*b**2 + 90632 wrt b.\nAnswer: 159608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -6*h + 9*h. Let a = h - -283. Let j = a - 140. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from phpviviiihvidoohovi.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/30 and -161\/4987020?\nAnswer: 4987020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 5*z = 15, -z + 56 = 5*y + 65 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -183 (base 11) to base 12.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98845216?\nAnswer: 2, 3088913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-25)\/(-18))*(-1552)\/(-13968))\/((-6)\/5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 13*a + 4. Let f be v(-13). Is f bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 1432*m**2 + 2868*m - 3. Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13, -14, -17, -22, -29, -38?\n\"Answer: -p**2 + 2*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 13*g - 172. What is m(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4*t - 20, -7*c + 3*t = -2*c + 15. Suppose 6*o - o - 135 = c. Suppose 0 = -8*i + 5*i + o. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.62276 - 0.697214. Round t to three decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -313, -1226, -2751, -4888?\n\"Answer: -306*d**2 + 5*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o + 1244 = -14*o. Suppose 6*u + o = 3*k + 2*u, -403 = -2*k + 5*u. Suppose 4*c + 2*i - 302 = 0, -3*c = i - k - 10. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - 4*l - 1. Let j be x(3). Let r = j - 3. Let d = r - -57. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 61 = -2*m + 2*z, 5*z - 140 = -5*m. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0058342497 to 6 decimal places.\nAnswer: -0.005834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 17499.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 547498 is divided by 98?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*a = -103*a + 72. Let n(y) = -y**3 + 3*y**2 + 6*y - 11. What is n(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 65929 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 300021320220 + 23?\nAnswer: 300021320303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -2*y**3\/3 - 3. Let l(r) = 2*r - 3 + 1 + 2. Calculate z(l(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.6  (b) 0.5  (c) -1362  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-1))\/k*k)**30\/(k*k\/((k\/(k\/(k\/k**0)))\/k)*k**9)*((k*k**(-1)*k)\/((k\/k**4)\/k))\/(k\/(k*k**1)*k**(3\/2)) assuming k is positive.\nAnswer: k**(107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-14) + (-4375)\/49. Let n = a + 286. Suppose 3*c - 10 = n. What is the greatest common divisor of c and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 5:46 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 230609477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9356 is divided by 234.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y - 4. Let u(j) = -j + 2. Let b(r) = -4*f(r) - 9*u(r). Let h be b(0). Suppose -5*x + 4*x + 4 = 0. Sort x, -5, h in increasing order.\nAnswer: -5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 7*i + 6. Let q be o(-7). Let t be q\/(-15) + 27\/30. Which is the nearest to -0.2?  (a) 0.3  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4862, 37438, 125452, 296624, 578674, 999322?\n\"Answer: 4620*h**3 - h**2 + 239*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (4*(-4 + 6*-6*(sqrt(245)*-2 + sqrt(245))))**2.\nAnswer: -32256*sqrt(5) + 5080572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) - sqrt(2240)*3)\/sqrt(7).\nAnswer: -23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -0*g. Let q be g + (-39)\/(-9)*3. Find the second derivative of -16*i**2 - i - 4*i + q*i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8669 + -8680.941. Let w = r - -12.5. What is w rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1737360653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 135804, 271634, 407476, 543336, 679220, 815134?\n\"Answer: i**3 + 135823*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -4*p**3\/3 - 2*p**2 - 4*p. Calculate the lowest common multiple of d(-3) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -639264 divided by 8\nAnswer: -79908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2)*k*k)\/k**(3\/2)*k\/k**(-2\/25)*k*k*k**7*k)**42 assuming k is positive.\nAnswer: k**(10059\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9996.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i + 5. Let l be v(5). Suppose 0 = -3*j + 13 + l. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**4 + 2*t**3 + 3*t**2 - 4*t. Suppose 4*m = -0*m - 84. Let q(o) = 4*o**4 + 6*o**3 + 10*o**2 - 13*o. Let u(f) = m*p(f) + 6*q(f). Solve u(x) = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 14949 = 4*f - 97634, -f = -3*d + 49611. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e4 (base 15) to base 11.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -6*z - 5. Let c(p) be the second derivative of -p**4\/12 + 40*p. What is c(a(u))?\nAnswer: -36*u**2 - 60*u - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 23 - 25) + 91\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 512 - 2?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1606*x = -1647*x + 328 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 19 - 1 - (3 - 2). What is the second derivative of -17*i**2 + 9*i - 11*i**5 + 6*i + r*i**2 wrt i?\nAnswer: -220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 61*j**2 + 8*j + 119. List the prime factors of b(-6).\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2687050*v - 2*v**2 + 2687050*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-8)*1952\/(-854). Put 22, 1\/3, j, 0.009 in descending order.\nAnswer: 22, 1\/3, j, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 5:33 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r - 8. Let h be b(7). Let u = h + -4. Suppose -u*y + 11 + 21 = 0. Calculate the remainder when 46 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 12:45 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 41438685.\nAnswer: -1\/13812895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 32*x - 33*x. Let v be ((-52)\/8)\/(-13)*(5 + x). Solve v*u + 3 = p + u, -2*u - 7 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a factor of 10471679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3017 - 0.1\nAnswer: -3017.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**3 - 3*r**3 + r**3 - 3*r**3 + r**3 + r**3 + (-2 - 1 - 2)*(-2*r**3 + 2*r**3 + r**3).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -6*s + 132, -377*b + 372*b + 2*s - 4*s + 25 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a = -28 + 28. Is -6\/1057 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -113215158 and 0.1.\nAnswer: -11321515.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2020002 (base 3) in base 12?\nAnswer: -b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17347 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*w**2 + 459*w - 66 = 0.\nAnswer: -22, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247503.\nAnswer: 3, 17, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44879434?\nAnswer: 2, 22439717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -121*c + 10038. Calculate t(83).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17352 is divided by 209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in -2\/17, -6\/13, -0.1, 1\/8, -19\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*n**4 + 0*n**5 - 2*n - 10*n**5 + 9*n**5 + (3*n**3 - 5*n**3 - 2*n**3)*(-3*n**2 - 4*n**2 + 3*n**2).\nAnswer: 15*n**5 + 18*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 132\/(-42) + 4 + 156\/(-231)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.18 and 0.047.\nAnswer: 0.00846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q. Let x(z) = -8*z. Let v(c) = 52*h(c) + 6*x(c). What is v(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -544.6149653 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 0) + (-14 - (-25 + -20)) + 14\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (49 - (-3465)\/(-135))\/((-25)\/(-30)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 1655113*p. Let c(a) = -43*a**2. Calculate z(c(l)).\nAnswer: -71169859*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3692765*p = 3692914*p + 11473 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -95 by -12.\nAnswer: 95\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, c: 3, b: 3}. What is prob of sequence cxcb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 131.3 + -131. What is the second smallest value in -0.2, p, -3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b - 146. Calculate n(14).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.790627 to two decimal places.\nAnswer: 1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w - 10. Let b be x(-14). Let f be 11\/(-30)*11166\/b. Let o = f + 1028. What is the common denominator of 17\/8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7013*k**4 + 72798*k.\nAnswer: 84156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.021 + -0.121. Let y = 59.1 - -0.9. Let o = y - 59. What is the third biggest value in b, 3\/7, o, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/(-8) + 652\/16 + 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 1 + 3*v**2 + 13*v - 1. Let n(r) = r**2 + 6*r. Let f(j) = 2155*j + 19404. Let p be f(-9). Calculate p*n(c) - 4*l(c).\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 - 7)*(2 + 1 + 0)*(-3 + 1 + 4)*(1 - 3 + 1)*(0*d + 5*d - 3*d) in the form q + y*d and give y.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (420\/8)\/15*(-114)\/((-513)\/(-27)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from {y: 3, o: 2, i: 7}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15661\/9 - 1110419\/639. Let y = -6205\/852 + u. What is the common denominator of y and (20\/(-6))\/((-8)\/(-26))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19879205.93 to the nearest ten thousand.\nAnswer: -19880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 730832 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of -1\/3*g**3 + 5\/4*g**4 + 0*g + 0*g**2 - 19. Find the third derivative of y(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s - 3 + 3)*(-25194298 - 6680*s + 25194298) to i*s + q + o*s**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 77*l - 491. Calculate k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2 + 6*q**2 + 3*q**3 - 2*q**2 - 2. Let h(y) = 4*y**2 + y. Let k be h(-1). Let m(x) = -2 - 2 - x**k - 3 + 6*x**3 + 7*x**2. Calculate 7*j(r) - 4*m(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 + -25. Let w(l) = l**2 - l + 3. Let c be w(0). Solve -q*t - 2*d + 12 = 0, -d + c = t - 0*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1985 is divided by 1970?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 9*n + 64. Let d be l(-7). Let i = -951\/8 - -119. What is the nearest to -0.1 in -0.2, i, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-7))\/((-678)\/(-791))*-1*18\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1258, -5034, -11334, -20164, -31530, -45438?\nAnswer: -61894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**3\/7 - 37614*m**2\/7 + 353740860*m\/7 - 707331272\/7 = 0. Calculate m.\nAnswer: 2, 18806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.20092 - -18.30092. What is the smallest value in 3\/7, r, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -42*n - 61. Let l(v) = 14*v + 21. Let h(z) = -8*l(z) - 3*o(z). Let c(a) = 5*a + 5. Calculate 8*c(f) - 3*h(f).\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 9:36 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 387855 and 565305.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 2*f**4 - 3*f**3 + 4*f**3 - 2 in the form i*f**4 + u + v*f**2 + p*f**3 + r*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431258806 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -5*r + 1. Let d be i(-7). Let s = d + -34. Differentiate 12 + 57*p**s - 20*p**2 - 3*p**2 with respect to p.\nAnswer: 68*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjvvvjjjv. Give prob of picking 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 19 = 1. Let x be (-1)\/(-5) - -3*(-7168)\/(-105). Suppose 3*q - x = 5*a, a + 2*a + 75 = q. Calculate the greatest common factor of q and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 15. Let o = y + 7.2. Which is the second smallest value?  (a) -1\/3  (b) o  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005104 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10458, 20944, 31442, 41958, 52498, 63068, 73674?\n\"Answer: f**3 + 10479*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5892 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: Let i = 99 + -37. Let r = i + -52. Suppose 2330 = r*g - 9*g. What is g rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 31997.27s?\nAnswer: 31997270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-616)\/42 - -12)*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -53537965769 and 5199.\nAnswer: -53537960570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -2\/5, -1\/12, -235869 in descending order.\nAnswer: -1\/12, -2\/5, -15, -235869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 9*p + 0*p**4 - p**4 - 2*p**3 + 45*p**2 - 8*p + 32*p**2 + p**2 to w + u*p + k*p**3 + n*p**4 + x*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.124 minus 0.249122?\nAnswer: 10.874878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 10*h - 70. Let i be q(7). Let y be i\/(2\/(-1) - (-5 + 5)). Solve -2*n + 6*n + 8 = y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((80\/5)\/(-32))\/(1\/46). What is the nearest to -0.2 in z, 1\/4, -3, 3\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1672 and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 y, and 1 g when three letters picked without replacement from {l: 2, y: 1, g: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 278318*m**4 + m**2 - 2951466*m wrt m.\nAnswer: 3339816*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 55767 and 3.\nAnswer: 55770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 519, 2110, 4815, 8676, 13735, 20034, 27615, 36520?\nAnswer: 46791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*q**4 - q**2 + q**2)*(1074 + 17 - 141 + 37) to n*q + z*q**3 + i + u*q**2 + d*q**4 and give d.\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*((-2)\/4)\/(-1). Let p be (0\/(-1))\/s + 3. What is the first derivative of -1 - 1 + 2*t**p + 4 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*d - 25 - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.446377 - -0.447. What is y rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 10, -3 in ascending order.\nAnswer: -5, -3, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -489*192.\nAnswer: -93888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 43860358 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/24*2)\/((-2)\/40). Suppose -3*m = 4*m - 14. Let k = 10 + -6. Solve -k*w = -m*w + t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1143, 4542, 10207, 18138, 28335?\nAnswer: 40798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -202212?\nAnswer: 210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 5*f**2 - f + 5. What is n(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*n**2 + 22*n - 929.\nAnswer: 10*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 234 - 2520150?\nAnswer: -2518815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -n**4\/24 + 2*n**3 + 5*n**2. Calculate the remainder when y(9) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 + 32 = -5*u - 5*r, 3*r = u + 20. Let i = u + 52. Suppose 5*k = -6 + i. Solve d - 5*j - 26 = 5*d, k*j = -3*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*(-45 + 12597\/285).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 386  (b) 3  (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/(-10))\/((-1)\/(-80)*-39). Let t = 22\/13 + x. Let m(s) = -s**2 - 7*s - 6. Let h be m(-6). Which is the nearest to 0?  (a) h  (b) 0.4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -86*f - 4. Let i be w(-3). Let k = i - 160. Let x = k + -56. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*(1 - 0 - 0). Let f = 2266\/9 + -252. What is the second biggest value in -0.5, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 9*i. Let g(k) = 4*k**2 + 104*k. What is g(d(x))?\nAnswer: 324*x**2 + 936*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - b**2 + b. Let s(f) = 489 - 2*f - 55*f**2 - 489 + 66*f**2. What is 2*i(l) + s(l)?\nAnswer: 2*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 15722.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/12 - (-15)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -228333 or -228329?\nAnswer: -228329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, m: 7, k: 4, o: 2, c: 1}. Give prob of sequence omkc.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -76 - 28. What is the remainder when y is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10908982 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 389825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -33*l**5\/20 - 9*l**4\/16 + 57*l**3\/4 + 237*l**2\/8 + 45*l\/2 - 5830. Suppose g(a) = 0. Calculate a.\nAnswer: -1, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-11))\/((-229)\/((-3357827)\/86)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-21 - (-38 + 8))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 315 - 313. Which is the closest to -3\/4?  (a) 3  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38351 - 38351.0015531. Round h to 5 decimal places.\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9630172 or -9630045?\nAnswer: -9630045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 740232 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -14. Let k(z) = 60*z**2 + 31*z - 36. Let f(m) = -11*m**2 - 6*m + 7. Let s(h) = 11*f(h) + 2*k(h). What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 13*o + 16. Calculate the remainder when h(-5) is divided by 4 + (1 - 3*-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/3))**(1\/10)\/(p\/(p\/p**(-8))*p**(1\/2))*(p**(-5)*p**11\/p)**(-2\/37) assuming p is positive.\nAnswer: p**(4031\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (0 - 2 - (9 + (-19 - -5))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 54 - (0 + (23 + -13 - 15)) - 9\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3391806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 220 + -648. Let a = b - -723. Suppose 2*q - a = -3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/(-115)*-3*25\/(-40)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 50*s - 121*s + 36*s + 36*s)*(-3 + 1 - 8).\nAnswer: -10*s + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of -t**6\/40 + 3*t**4\/8 + t**3 - 6*t**2. Factor s(u).\nAnswer: -3*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + -3)*8\/(-48)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-65)\/(-1 + -4))\/(532\/(-133)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 127274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2454 is divided by 951.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*2\/(-4) - 3\/3. Which is the third smallest value?  (a) -6  (b) 0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 11*t**2 + 37*t - 20. Let s = -517 - -523. Let m be k(s). Calculate the highest common factor of m and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**5 - r**5 - r**5)*(-32 - 354 + 906).\nAnswer: 520*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 6:14 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 178064*c**5 - 5605*c**2 wrt c.\nAnswer: 10683840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16921 + -11735. What are the prime factors of u?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-4)*(-1)\/(-36)*-2.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 10*q**2 + 642*q + 274. Let l be y(31). Let c = -8 + 2. Sort 3, 5, c, l in ascending order.\nAnswer: c, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -722*u + 722*u + 8*u**3 - 60*u**3.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2885205496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1387 - 3710 + 2325 - 10*b.\nAnswer: -10*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand y + 0*y + 0*y - 1 + 1 + y + (0 + 0 + 2*y)*(3 - 1 - 1) + 0*y - 2*y + 4*y - 7 + 7 + y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001 + 101102021012122?\nAnswer: 101102021011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1577  (b) -11  (c) 0.06  (d) 2  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, w: 3}. Give prob of sequence nwnw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 110 = -2*r. Let n = -18 + r. Let a be (6\/4)\/(n\/(-48)). Is a < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + (-3)\/6*0. Let l be k\/(-4) - 189\/12. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 4. Calculate the remainder when (-38)\/(532\/(-630)) + -10 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1835 - 1504*m + 1835.\nAnswer: -1504*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*1\/(-16)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 + 208 = 5*h - 4*c, 5*h + 3*c = 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5*y + 2*a - 31, 2*y = -2*a + 14. Suppose y*x + 2*g = 4*x + 64, 4*g = 4*x - 160. What is the highest common divisor of x and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*i - 19*i - 26*i)*((-7 + 4 + 4)*(i**2 - i**2 - i**2) + 884 - 884 - i**2).\nAnswer: 58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1150, -2300, -3450, -4600, -5750?\nAnswer: -6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 10*a**2 + 3*a - 20. Let u be g(10). Solve -16 = 6*f - u*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.5366 - 78.7016. Let b = -75 - o. Let w = b + -10.505. Round w to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 494639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 642328 at least as big as 642307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 22326126 (base 7) to base 4\nAnswer: 13121210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 191175, -2\/11, 18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -50\/3. Let k = -10.49 - -14.49. Which is the nearest to o?  (a) -4  (b) k  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 851971.5 minutes to milliseconds.\nAnswer: 51118290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -415*r + 410*r = -50. Let s(i) = i. What is s(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 - (-17 - -2 - (-46 - -29))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 34*h**2 - 87*h + 20. List the prime factors of o(5).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30e (base 16) to base 13.\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 465474 is divided by 14105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Sort 28.36, -0.245, 0.5, -80 in descending order.\nAnswer: 28.36, 0.5, -0.245, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*v + 7 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of -t**4\/6 - 2*t**3\/3 + 3*t**2 + 18*t - 17. Factor q(h).\nAnswer: -2*(h - 3)*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + 7\/(1 - (-7)\/42). Let v be (-2)\/(-2) + (-24)\/9. Sort g, -5, v in descending order.\nAnswer: g, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2 = 7. Let i(c) = -4*c**2 + r*c**2 + 5*c**2. Let h(u) = 2*u**2. Calculate i(h(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9089241 times 3?\nAnswer: 27267723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4048*v**3 + v**2 + 4*v - 4. Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*r + 696 = 68*r. Suppose -12 = 4*g - 0*g. Let b(v) = v**3 + 2*v**2 - 4*v - 2. Let d be b(g). Solve -5*o = r - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.249 times 8193\nAnswer: -2040.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 6:38 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143 = 6*q - 5*k - 10, 3*q - 15*k + 79 = -10*k for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in -3, 4, -3\/10, -1\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -c**6\/120 + 209*c**5\/60 - 1378*c**4\/3 + 5408*c**3\/3 + 10*c**2 - 5. Factor v(r).\nAnswer: -(r - 104)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 3. Let c = 0 - b. Suppose -4*g + o - 17652470 - 747532 = c, 13799998 = -3*g - o. Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203103104 + 10013?\nAnswer: 203113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -695*j - 7489. Does 51 divide v(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8442 - 6366 = -8*i. What are the prime factors of i?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*l = -71, -l = -5*a + 2*l + 91. Suppose 2*z + a = 40. Is 86\/9 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 5 = -2*y + h, 5 = -5*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19146 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-18)\/(-8) - (-1)\/(-4). Let o be (-6)\/(-14) - (4 + 393\/(-63)). Solve o*a + 4\/3*a**3 - 10\/3*a**i - 2\/3 = 0 for a.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -126650*g. Let f(z) = -566*z + 2. Determine q(f(j)).\nAnswer: 71683900*j - 253300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*b = -246 + 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 151*j**2 + 163*j**2 - 5*j + 148*j**2 - 463*j**2. Let t(x) = x. Calculate -6*r(y) - 34*t(y).\nAnswer: 6*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 21*t + 18*t - t**4 + t**3 - 2 to the form c*t**2 + p*t + s*t**3 + m*t**4 + h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -3*d**3 - 2*d**2 + 1. Let b be t(-1). Let s be (-6 - 2) + 4\/b. Is (-226)\/s + 2\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(-421*j + 2 - 558*j + 723*j) + 2*j - 5*j + j + (0*j - 3*j + 4*j)*(4 - 3 + 0).\nAnswer: -257*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*b - 0*b. Let n(r) = r**2 + 7*r + 6. Let t be n(-5). Put b, t, -1 in decreasing order.\nAnswer: b, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -20, -1.\nAnswer: -20, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61177*f**3*z**3 + 2939*f**3 + f**2*z - 77*f + 29*z**4 wrt z?\nAnswer: 367062*f**3*z + 348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 5*p - 4*p. Let y = p + 101. Solve -o = -4*z + y, 4*z = 4*o + 13 + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from babaabaababa. What is prob of sequence ba?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150*v**3 - 4 + 82*v**3 + 4 + 107*v**3.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 2308809.99.\nAnswer: 1154404.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -5. Let f = -1 - -1. Which is the nearest to -1\/4?  (a) 1  (b) u  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8490 = -15*g + 42270. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5878732, -11757471, -17636210, -23514949?\nAnswer: -29393688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42596 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -3126\/7, -2, -1\/8, 1\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/5, -3, -233?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -15*p**4 + 42*p**2 - 5*p - 5. Let q(t) = 7*t**4 - 21*t**2 + 3*t + 3. Let c(y) = 3*i(y) + 5*q(y). What is the third derivative of c(k) wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1163*f**2 + f**4 - 2331*f**2 - 45*f**3 - 2 + f + 1166*f**2 as y*f**4 + d + v*f + c*f**2 + i*f**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 4*d - 4, 15 = v + 3*d + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 582\/14 - 18\/(-42). Let p = 57 - z. Let a be (-40)\/p*(-4 - 2). Solve -3*l + 4 - a = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 1. Let z be c(3). Let t(u) = -11*u - 1. Let v be t(9). Find the common denominator of (5\/(v\/(-8)))\/z and 1\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43\/3 + (-28)\/(-42) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -163.811 - -175.23. Let h = 0.019 - m. Round h to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) 0.03847  (c) 5  (d) 3\/5  (e) -3\/7  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.05 or 61\/131?\nAnswer: 61\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2661 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 2760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**2*j**3*n**2 + 202*d**2*j**2*n**3 - 26*d*j**3*n**3 + 2*d*j**3*n**2 - 4*d wrt d.\nAnswer: -4*j**3*n**2 + 404*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {k: 2, l: 6, t: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1539) + 4)**2*5 + 5 - ((sqrt(190) + (sqrt(190) - (sqrt(190) - (sqrt(190) - -3*sqrt(190)))))*-3)\/(sqrt(1000) + 3*sqrt(1000)).\nAnswer: 3603*sqrt(19)\/8 + 7825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m + 3. Let n be y(-6). Let j = n + 5. Suppose -5*s + 4*g - 8 = -29, -5*s + 13 = -2*g. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22256, 22258, 22248, 22220, 22168, 22086, 21968?\n\"Answer: -d**3 + 9*d + 22248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/120*(48 - 41 - (-16)\/(-3)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffussskuufkfkfmf. What is prob of sequence su?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2*sqrt(17) + 1 + (sqrt(204)*-1)\/sqrt(12))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -134 + 3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + 6ab?\nAnswer: 6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2 + 0)*(4*k**4 - 4*k**4 - 5*k**4) + k**3 + 7*k**4 - 5*k**4 + k**3 in the form a*k + h*k**3 + v + d*k**2 + w*k**4 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 607*c - 606*c - 8, -o + 8 = -5*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 10 = -3*l, 3*k + 8 = -k. Suppose d - m = 23, -4*m - 8 = -l*d - d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 4*f + 0*f)*(-272 + 272 - 26*f).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -935 = 17*p - 3*p - 1327 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(693)*-4 - sqrt(693)) + sqrt(693) - (sqrt(693) - -1*sqrt(693)*1))\/((-5*sqrt(3564) + sqrt(3564) - sqrt(3564)) + sqrt(3564)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y**3 + 4*y**2 - 6*y + 3. Let o(v) = -11*v**3 - 13*v**2 + 17*v - 7. Let s(i) = -8*l(i) - 3*o(i). Calculate s(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 39 = -5*f, 3*c = 3*f - c - 6. Let n be -2*(f + (3 - 7)). Let t(z) = -3*z**2 + 6*z**2 + 5 - 3*z + 10*z - z**2. What is t(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/2 - 3060*a**2 - 122781*a\/2 - 58330.\nAnswer: (a - 6140)*(a + 1)*(a + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -207.609 times 0.3\nAnswer: -62.2827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 872374140 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, i: 4, k: 2, g: 8, h: 2}. What is prob of sequence iizh?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (3 + 3 + -10 + -2 + (30 - 29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -285 - -400. Let h = -114 + v. Let c(j) = -j**3 + j**2 - j. Let i(t) = 4*t**3 - 6*t**2 + 7*t - 1. Let r(n) = 6*c(n) + i(n). What is r(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 8*y**2 + 17*y**2 - 2*y - y**3 - 49*y**2 + 18*y**2 + 11 + 11*y**2. Suppose 0 = 3*v - 5*v + 10. Let i be a(v). Which is smaller: i or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -10, 4*o - 15842 = 2*o - 5*f. What are the prime factors of o?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/4 - 57\/(-4). Calculate the common denominator of 4\/w + 461\/28 and (18\/5)\/(-2)*70\/(-196).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a153a (base 11) to base 7.\nAnswer: 2426105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14927 + 675 = -408*p - 2350 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (16 - (-11 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*-1 + -3 + 12. Suppose 27 - 2 = c*a. Suppose 5*l - 4*k - 82 = 0, 3*k + 67 = a*l - 17. Calculate the least common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1052*b**6*f - b**4*f**3 - 31*b**2*f**3 - b**2 + 23*b*f wrt b?\nAnswer: 126240*b**3*f - 24*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -1024*q**5\/15 - 32*q**4\/3 - 2*q**3\/3 - 6*q**2 - 14*q. Let z(y) be the first derivative of l(y). Factor z(j).\nAnswer: -4*(32*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6534414 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1642*t**2 + 1642*t**2 + 1645*t**2 - 4931*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u + 1. Let z = -5 + 1. Let j be f(z). Suppose 15 = -j*v, -2*q = -3*q + v + 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*q\/q**17*q*q*q**(-20)*q*(q*q**(-11)*q)**(-7\/2) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -30. Let y be 10\/45 - (-2)\/n. Solve 2*g = q - 6, 5*g + y*g + 37 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4 + sqrt(52)\/sqrt(4) - (sqrt(13) + sqrt(325) + 2)**2).\nAnswer: -952 - 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 9*v - 18. Let g be o(6). Let m be (-3 - 15\/(-3))\/((-5)\/(-150)). What is the greatest common divisor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*i + 2*i. Let t(v) = -3*v - i*v + 6*v. Let w(m) = -m. Let s(y) = 5*y. Let j(f) = -2*s(f) - 9*w(f). What is t(j(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 1. Let c be (-10)\/(-4)*v\/10. Suppose -9 = h + 2*h. Sort -4, c, h.\nAnswer: -4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(-9) - 0 - 10\/(8 + 22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*d - d + 4*d)*(3 - 1 - 1) + d + 5 - 5 + d - 2*d + 3*d)*(75 - d - 75).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 5:21 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - j - 0 - 3, -2*f + 3 = -j. Let d = 0 + 4. Solve d = -f*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(-45))\/(4\/125).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 2\/55  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21.59 + 21.53485. Round j to 3 decimal places.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (23868\/(-9945))\/((2\/420)\/(-1)). Suppose -3*c = -3, 5*i + 0*c - 312 = 3*c. What is the highest common divisor of i and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -2*m**5\/85 + 13*m**4\/34 - 94*m**3\/51 + 59*m**2\/17 - 48*m\/17 + 262. Suppose q(j) = 0. Calculate j.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34.3 times -0.5\nAnswer: -17.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -9. Suppose -f*i + 3*i - 15915 = 0. Is ((-4)\/(-6))\/((-2)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -3, 21, -1, 1, 6\/11 in descending order.\nAnswer: 21, 1, 6\/11, -2\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 16*i**3 - 1884*i**2 + 15224*i + 3924 = 0.\nAnswer: -1\/4, 9, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 12 = 0, 2*d - 14 = 145*b - 139*b - 38 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1075 by 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 129850, 259696, 389540, 519382, 649222, 779060?\n\"Answer: -r**2 + 129849*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 797680 and 1180.\nAnswer: 797680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10499 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from igpppgg. What is prob of picking 1 g and 1 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-304)\/10*(-205)\/82)\/(-1).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + 4*o**2 - 3*o**2 - 3*o**2 + 3*o**2 + o**2 + (1 - 5 + 2)*(-4*o**2 + 2*o**2 + 4*o**2) + 2*o**2 + 2*o - 2*o)*(3*o + 2102*o**2 + 5*o - 4*o - 4*o).\nAnswer: 2102*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.7190603 to 1 decimal place.\nAnswer: -33.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -21*u. Let k(h) = 11*h. Let d(i) = -i**2 + 9*i + 29. Let m be d(11). Give m*k(c) + 4*b(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8 + 9 - 0\/(-3). Suppose -r + w + 4 = 0. Suppose -2*l - 1154 = -4*p - 6568, -r*p - 5418 = -2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6 - 650 - 1)\/(6\/(-4)). Suppose 179 = 2*q + 3*y, 0*q + 4*y = -5*q + g. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 4*t + 3*v + 17 = 0, 5*t + v = 17. Suppose -z + 5*b + 8 = 0, 0*b = t*z - b - 13. Suppose i - z = 7. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**6\/3 + 39*q**5\/5 + 60*q**4 + 434*q**3\/3 + 147*q**2 + 259*q. Suppose c(j) = 0. Calculate j.\nAnswer: -7, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**3 + 15356*f**2 - 3451456*f + 3436096 = 0.\nAnswer: -4052, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/385*(-264)\/(-24)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5.7 or 1.694?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of 3*h + 13 - 1\/12*h**3 + 1\/2*h**2. Find s such that g(s) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11178097?\nAnswer: 7, 1596871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q + 45. Let u(d) = 3*d - 43. Let x(r) = -4*f(r) - 5*u(r). What is the first derivative of x(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5*(-24)\/770)\/(4\/4*675\/(-525))\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -10*l - 4. Let h be p(-1). Let v(b) = b**3 + 3*b**2 - b. Let x be v(-3). Let z = h + x. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 68 - 17*v + 2*v**2 + 42 + 47 + 41. Calculate t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 588302 and 5434?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 189477751 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/2*(-12)\/(32\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5*(-4)\/(-20))\/1)\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvlllllllllllvvvll?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*0.0004658.\nAnswer: 0.000027948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 4. Let f be (-2)\/((-3)\/r - -1). Suppose 3*j = 4*k - 52, -k = k - f*j - 26. What is the remainder when 38 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36580250?\nAnswer: 2, 5, 7, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 686008.\nAnswer: 2, 85751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*h + 217 - 33 = -152 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (117*b**2 - 117*b**2 + 6*b**3)*(9*b - 76*b - 84*b + 16*b + (2 + 1 - 4)*(-2*b - b + 4*b)) in the form k + p*b + m*b**4 + w*b**3 + i*b**2 and give m.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 13 = 5*b - 3*g, -21 = -5*b - g. Suppose 0 = a - t - 3*t, 0 = b*a + 3*t. Solve a = -15*i + 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-18)*(-240)\/1400?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 32 = -2*o. Calculate the remainder when (0 - -1)*(-2 + 48) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-1 - 1\/2). Suppose 40 = -r + 6*r. Solve -3*i = x*y - i + r, i = -5*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 68320 and 30340912.\nAnswer: 303409120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 10 = 0, a + k + 14 = -3*k. Suppose a*p - 2*p = -0*p. Solve 0 = f - p - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -246.9272 + -0.0728. Let l = k - -243. Which is the closest to -1\/6?  (a) l  (b) -3  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 5616898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + a7?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293907513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmwmmmmwxmwmmm. Give prob of sequence mwx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 36 = 3*q, -2*z + 13 = -q - 10. Let i be q\/(-2) + (-24)\/16 + -3. Which is the closest to 0?  (a) -4\/7  (b) -9  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -733193*g**3*v - g**3 - 2*g**2*v - 42*g**2 - 2*g*v + 733*g - 14533*v + 2 wrt g.\nAnswer: -4399158*g*v - 6*g - 4*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*o**2 + o**2 - o**2)*(-2 + 1 + 0 + (0 - 2 + 3)*(0 - 2 + 3) + 43 - 5 + 3) to m*o + v + p*o**2 and give p.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 AM and 7:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 70, 105, 154, 211, 270, 325, 370, 399?\n\"Answer: -n**3 + 13*n**2 + 3*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 894070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 163 and 1070416.04.\nAnswer: 1070579.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2662 - -9524. Let w be p\/(-56) + (-3)\/(-12). Let a = -122 - w. What is the third biggest value in -5, a, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/((-126)\/7))\/((-10)\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.028 and 7.\nAnswer: 7.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49665 = 5*m - 5*o, 39730 = 4*m - 78*o + 75*o. List the prime factors of m.\nAnswer: 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35109323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*i + 541 - 1518 = 665 + 3443 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -8. Suppose -2*q = -a*q. Solve q*n - 3 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 19*n**2 - 24*n - 97. Give d(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 1. Let t(b) = -12*b + 13. Let z(l) = 78*c(l) - 6*t(l). Let q(j) = -3*j**2 - 6*j - j + 7*j. Give q(z(v)).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 94*q + 0*q**2 - 27*q**2 + 17*q**2 + 2 + 8*q**2 + 1. Let g(h) = h. Determine i(g(c)).\nAnswer: -2*c**2 + 94*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*d**2 + 6*d**2 + 1554*d - 1554*d.\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69 - -63. What is the units digit of m\/18 + 3\/(27\/975)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 330368778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111db2 (base 14) to base 16.\nAnswer: 8e038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -153 - -257. Suppose 5*q - 4*j - h = 76, -5*j = 4*q - 185. Suppose 3*x - q = -4*v, -x - x - 60 = -4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9293985 millilitres in litres?\nAnswer: 0.0009293985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 4*c + 1. Let t(w) = -3*w**3 - 9*w - 3. Let p = -6 - -10. Let i be 2\/(-8) + (-31)\/p. Let y be (-28)\/i - (-1)\/(-2). What is y*t(s) + 7*n(s)?\nAnswer: -2*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(1872) - sqrt(13)) + 4 - 1*(sqrt(325)*-2 + sqrt(325))**2.\nAnswer: -321 + 59*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26 - -16. Let u(b) = -b**2 - 11*b - 7. Let f be u(p). Let s be (-3 - (2 + -2))\/1. Sort f, s, -5 in decreasing order.\nAnswer: f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 663876 and 165969?\nAnswer: 663876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddededddedddddd. Give prob of picking 2 e and 1 d.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 189\/168 + 6\/(-8). Let r(y) be the third derivative of y**3 + 0*y + 1\/20*y**5 - 4*y**2 - w*y**4 + 0. Suppose r(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50.04 + -49. Let q = s + -0.04. What is the second smallest value in 0.2, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2475)\/30*4\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/(-4))\/(12\/(-40)). Suppose 2*o - d = 49. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 163 and 6.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -5. Suppose -15 = -z*m - 0*m, 4*m + 30 = 2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w = -192 + 3. Let f = w + 5. What is the greatest common divisor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*j**3 + 6*j**2 + 9*j**2 - 11*j**2 - 9*j**5 + 3*j**2 - 10*j**5 wrt j.\nAnswer: -1140*j**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*t + 4 - 18 + 6 + 8.\nAnswer: -205*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 432 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -1\/15  (c) -83  (d) 1304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 4*l + 2. Suppose -11 = 6*i - 2*i - 3*x, x + 23 = -4*i. Determine g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 0 + 64 + -18 + -60?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28986449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 - 113 = -10*t + 330. Calculate the remainder when 351 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -5. Let p be (3\/(-6))\/(m\/(-4)). Let x = p - 1\/4. Which is the third smallest value?  (a) 2  (b) x  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 707 divided by 3.\nAnswer: 707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -3*r - 2, -3*i + 25 = -8*i. Let h = 11 + -7. What is the units digit of h\/(-18) - 380\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(-5*c + 6*c + 9*c)*(-6*c**4 + 4*c**4 + c**4 - 2*c**4 - 3*c**4 + 4*c**4 + (2*c**4 + 2*c**3 - 2*c**3)*(2 + 0 - 3)).\nAnswer: 40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2 = -1, -5*z + 104 = 4*t. Let s = -14 + z. Let l = -2320 + 2321. What is the smallest common multiple of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {g: 1, h: 2, f: 1, j: 2, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1220 + m + 2*m - m + 3698 to k*m + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 2:42 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)\/sqrt(245))**2 + -5 + -2 + sqrt(19) + -1.\nAnswer: -373\/49 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k - 1. Let w(p) = 56*p**2 - 2. What is 2*i(o) - w(o)?\nAnswer: -56*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 2 - 3 + 1 + 1 - 4 + 2 + 1 - 5 + (4 - 5 + 3)*(-4 + 5 - 2) + 3 - 3 + 1 + 0 + 4 - 2)*(-18*x - 12*x + x) to the form s*x + u and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + f - 14. Let k(u) = -u - 5. Let s be k(f). Suppose 0 = y + y - s. Which is the closest to y?  (a) -1\/6  (b) -1  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - 197?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 4*n**2 + 2712*n - 27509. What is l(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 4. Let n be r(4). Let f = 2.3 - -6.7. Let v = f - 4. Which is the closest to n?  (a) v  (b) 0  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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 2481.89226 rounded to the nearest ten?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -3, 163, 80, 2, -5?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -32*b + 4. Let q(c) be the second derivative of 31*c**3\/6 - 3*c**2\/2 + 3*c + 21. Determine -4*l(i) - 5*q(i).\nAnswer: -27*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-42)\/(-10) + (-7)\/35. What is the remainder when (-2 - (-6)\/w)\/(4\/(-96)) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2352\/3822*(-13)\/2)\/((-4)\/(-45)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(-6)*v**(-38) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**2 + 57714*g - 223841.\nAnswer: -4*g + 57714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -10  (b) 5  (c) -3  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-18))\/(-4)*(-4)\/1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of t + 1\/2*t**2 - 11. Let r = 806 - 808. Give v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/((2\/6)\/(2\/12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 6 in ascending order.\nAnswer: -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -5) + 22\/55*-215. Let r be (-18)\/t + 50\/18. Solve 4*k - 3*c = 2*c - r, -5*k + 4*c + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16)\/28)\/((-36)\/126). Suppose -5*v + 11 = -9, 0 = -2*t + 4*v + 18. Suppose -2*c = -27 + t. Solve -x = 4*u - c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -275 - -278. What is the closest to 1\/4 in 5, -103, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 20651599\nAnswer: 6195479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -8*d**3 + 12*d - 17. Let y(p) = -3*p**3 + 4*p - 6. Calculate -6*o(q) + 17*y(q).\nAnswer: -3*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/6)\/(((-1484)\/192)\/53)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 12*x. Let v(w) be the first derivative of 11*w**3\/3 + 4*w + 61. Let s(r) = -r**2 + 2. Let o(m) = -2*s(m) + v(m). Determine o(u(h)).\nAnswer: 1872*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w + 4*w - 6*w + (-2*w + 17*w - 2*w)*(-4 + 2 + 0) - 3*w + 4*w + 2*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-54)\/(-10) + (-2)\/5. Suppose -9 = -3*b + p, -b + t*p + 1 = 12. Suppose b*y + i = 2*y + 28, i - 14 = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 2*k**2 - 2*k**2 - 2*k + k**2 + 2. Let r be q(1). Which is smaller: r or -7\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-45)\/(-10))\/((-2)\/4). Let s(b) = 2*b - 2*b - 11 + b + b**2 + b. Is 26 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 1, -4, 4, -3, 120 in increasing order.\nAnswer: -16, -4, -3, 1, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/10*1\/(3\/10). Solve -t*n + 2 - 30 = -3*x, 0 = -x + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3313230320 (base 4) in base 12?\nAnswer: 40b188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 4*g**2 - 3*g - 1. Let o be j(3). Is o smaller than -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.71814882 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 951008 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 4627.349t?\nAnswer: 4627349000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*s = -4*y + 7, -4*y - 12 = 2*s. Let p = 4.999 - -0.001. Which is the closest to -0.1?  (a) 0.3  (b) y  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 138436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 82522496 divided by -20797?\nAnswer: -3968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14556 + 14803.96. Let i = 258 - a. Round i to 1 decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 2:14 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -21*z + 4. Let m(p) = -p + 1. Determine 4*m(s) - o(s).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 2\/3, -0.2, -4\/19, -0.04, -1\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/142962 and 131\/42?\nAnswer: 1000734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -157, -309, -461, -613, -765?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -4997*j - 9951. Determine i(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q = 9*q. Solve -2*a + q*a + 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 269.463 millimeters in centimeters?\nAnswer: 26.9463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 167067842 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 (-7 - -4) + 6 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 10:34 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -315b7 (base 12) to base 4.\nAnswer: -33310123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116 and 79547?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*c**2 - 7*c**2 - 10*c**2 + (3 + 2 - 2)*(-c**2 + c**2 - 2*c**2) + (-7*c + 8*c + 2*c)*(6*c + 0*c - 3*c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - b + 54. Let o be j(7). Let r(f) be the first derivative of 167*f**3\/3 - 2*f**2 - 3*f + 1. Is r(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 136994914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.35 and 0.0003631.\nAnswer: 0.001216385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15140 (base 8) to base 15.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-4\/3)\/g**(2\/17)*g**(-19)*g*g**(3\/2)\/g assuming g is positive.\nAnswer: g**(-1933\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 6:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 428 and 141668?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -3.4  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -784 (base 9) to base 13.\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -649, -1563, -2551, -3649, -4893, -6319, -7963, -9861?\n\"Answer: -6*r**3 - r**2 - 869*r + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 23 + 4 = 0. Let i = t - -14. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -180.91 to the nearest integer.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = w - 139, -w = 3*w + 20. Suppose 2*m - x = 122. Suppose j - m = -4*h, j = -3*h + 18 + 40. Which is greater: h or 20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1))**36)**(-2\/27) assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 278 - 70. What is the greatest common divisor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/4, -211, 2\/5, -3\/8, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3953 and 6499?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-3\/4)*v)\/(v*v\/(v**6*v)))\/((v*v**7)\/v**(-3\/4)) assuming v is positive.\nAnswer: v**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 12:23 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 196 divided by 12?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 26, 59, 116, 209, 350?\n\"Answer: 2*s**3 + 19*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48*847*37\/(-19536).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 224854095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-81)\/648)\/((-2)\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 9:21 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 51512?\nAnswer: 51515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-108) - (-2)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 588957\/4177000 - 2\/125?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 0.2, 2, -2\/5 in decreasing order.\nAnswer: 2, 0.2, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence au when two letters picked without replacement from alu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together -10.61 and 5205.\nAnswer: 5194.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from wvcnncccnwncv?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 150878196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -587270.\nAnswer: -2\/293635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 8*l**3 - 24*l**2 + 15*l - 17. Let m(n) be the first derivative of -2*n**3 + 1\/2*n**4 - 4*n + 2*n**2 + 1. Let r(s) = 2*j(s) - 9*m(s). Factor r(x).\nAnswer: -2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*i - 7 + 29, 3*i + 18 = 6*b. Let k(h) = -h**3 + h**2 + 7*h - 11. Calculate k(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 4519871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*n**2 - 7*n**2 + n - 3697*n**3 - 3*n**2 - 3861*n**3.\nAnswer: -7558*n**3 + 38*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -3) + 1 - (61 + -44 + 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.454 - -166.2?\nAnswer: 165.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 6:46 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -15. Let s be (-1)\/(-5) + 9\/h. Solve 0 = -0*w - s*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136) - -1*(sqrt(136)*2 - sqrt(136))))) + sqrt(136))\/sqrt(8).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/4, -1\/5, 2\/7, -39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -208 + 207.95. Let b = -80 - -79.9316. Let d = b - h. Round d to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yltylyyllllylyl. What is prob of sequence yytl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**2 + 10*t - 10. Suppose -22*s = 21*s - 21451 + 21881. Calculate z(s).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.008 - 7. What is l rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*m**4*r**3 - 27*m**4*r**2 + 5*m**2 - 305*m*r**3 + m*r wrt m.\nAnswer: -552*m*r**3 - 648*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (142 - 97) + -6 - 86?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7*(-12)\/(-8)*(-28)\/147\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q + q**2 - 5*q**2 + 2*q**4 + 472*q**3 - 489*q**3 to v + g*q**3 + h*q**4 + l*q + i*q**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 570 - 519.4. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4992778 times 5?\nAnswer: 7.496389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7600418 and 5320?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -2\/13823, -3, 3, -1?\nAnswer: -2\/13823","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36704728 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 + 15*u**2 + 96*u + 108.\nAnswer: -3*(u - 9)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 1380 = -38*o. Suppose o*j = 86*j. Solve j = 7*b + 3*b - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -555 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 24*o**3 - o**2 - o. Let m be a(-1). Let z be (m\/15)\/(3\/(-120)). Let i be ((-9)\/(-2))\/(24\/z). What is the greatest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -13.02?\nAnswer: -15.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 11:10 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0\/1 + 12 + 3643 + -19?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 1. Let h(b) be the second derivative of 2*b**3\/3 - 3*b**2\/2 + 3*b. Let c(w) = h(w) + 4*t(w). Suppose -5*r + 4 = -1. Give c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - f = -64. Let x = 10 - f. Let r be 5 + x\/(1 - -1). Solve h + 4 = -b + 5*h, -b - r = -2*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*b - 957 = 32*b - 3*b + 633 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1962\/2943*(-174)\/4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/14189 and -12\/455.\nAnswer: 922285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - ((6 - 10) + -3 - -1 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -2\/5, 1, 24 in descending order.\nAnswer: 24, 1, -0.04, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-13 - 3) + 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15, -68, -157, -288, -467, -700, -993?\n\"Answer: -m**3 - 12*m**2 - 10*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1510206.2729 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1701*k + 1521*k + 1709*k - 10016*k + 1698*k + 1700*k + 1700*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**3 + 245627*p - 245627*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 3*v**2 - v**2 + 7 - 12*v - 2. Let j be m(12). Suppose -j*d = -7 - 3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -57*y + 2. Let r be v(5). Let h be 0 + 1 - (-12400)\/44. Let m = r + h. Which is the third biggest value?  (a) 0.1  (b) -1\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 (base 15) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**3 + 191*o**2 - 97*o + 192. Let m be a(95). Solve -5*y = -5*s - 7*y + m, 4*s = 3*y - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.35 and -7.91.\nAnswer: -8.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59, 55, 51, 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*y + 22*y + g = 44, 5*y + g + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -128\/132837 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -118.14  (b) 3\/4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (((-2940)\/(-40))\/(-21))\/((-60)\/(-11)) and 29\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -245*g**3 + 594*g**3 + 312*g**3.\nAnswer: 661*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-71)\/(-568)*(-24)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33 and 12210?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47464 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 229788*h**3*s**4 - 11837*h**3*s - 8*s**5 - 90*s wrt s.\nAnswer: 2757456*h**3*s**2 - 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -2*r - 456, 5*r - r - 331 = 3*l. Let b = 2026 + -2025.7. Sort l, b, 0.1 in decreasing order.\nAnswer: b, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of x**4 - 784*x**3 + 21*x**2 - x + 11?\nAnswer: 24*x - 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + s - 1. Suppose -181*h + 172*h = 9. Let l(m) = -5*m**2 + 3*m - 9. Determine h*l(y) + 6*k(y).\nAnswer: -y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -494 = -42*r - 1039 + 461 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*w**2*w))**(-21))**4)**(-14\/13) assuming w is positive.\nAnswer: w**(-3528\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -39*c - 3. Let s be h(-5). Let u be (-2)\/3 + s\/18. Suppose 0 = 4*l - 5*l + u. What is the remainder when 18 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-2 - (-1 - 2)). Let z be 10\/45 + (-389)\/9. Let b = z + 41. Sort o, -3, b in descending order.\nAnswer: o, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-4)\/24*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o - 11. Let g(l) = -66*l**2. Determine p(g(h)).\nAnswer: -132*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13471 - -209296. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 250520 and 72560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and 10398324.\nAnswer: 519916.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -155\/6214488 and -62\/9?\nAnswer: 18643464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.02584 to 2 decimal places.\nAnswer: 7.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 154907839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*n**2 + 7*n**2 - 28*n**3 - 1 + 27*n**3 to l*n**2 + v*n**3 + t*n + x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/8 + (-76)\/(-16). Suppose -q*z + 2*z + 12 = 0. Solve z*y = 3 + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18077, -37381, -59133, -84557, -114877, -151317?\n\"Answer: -204*o**3 - 17876*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 6*c + 50. Suppose 0 = -2*g + 2*w + c, 0 = 5*g - w - 12 - 25. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*i + 56*i + 7*i)*(1 + 6 - 3) - 6*i + 1 + 10 - 5 as b*i + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 476\/44 - (-2)\/11. Solve 8 = -4*p + 2*c, -c - g = 3*p - 0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**3 + 190*x**2 + 63*x + 1589. Calculate i(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -506139, -506155, -506171?\n\"Answer: -16*v - 506123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00703 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, r: 3, q: 2, j: 1}. What is prob of sequence rq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -17*g + 2902. Let w(c) = -2*c. What is v(w(h))?\nAnswer: 34*h + 2902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1452, 1953, 2452, 2949?\n\"Answer: -i**2 + 504*i + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(153)) - 1*(-2 + sqrt(153)))**2 + 0 + -4.\nAnswer: -336*sqrt(17) + 7557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66641 - 66639.899775. Let n = 1.1 - l. What is n rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 39?  (a) -3  (b) 3  (c) 1  (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 691115.5 decades?\nAnswer: 6911.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1039118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 12702360 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/252)\/((-52)\/(-24))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**2 + 24772*a - 76706498 = 0.\nAnswer: 6193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 4, 5, -57 in ascending order.\nAnswer: -57, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.4  (b) 1\/5  (c) -16  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**9*y)*y*y**2)**(-46))**(-21) assuming y is positive.\nAnswer: y**(-6762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - 11 - (7 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (2*sqrt(136)*-2 - sqrt(136))\/(sqrt(24)\/sqrt(12)))**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1008 and 3342213?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10771287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/14 + 500\/350. Solve -12 = -4*s - 2*f, -2*s + 2*f - f = -g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 10:56 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 0.2  (c) 13  (d) 9  (e) -0.04  (f) 3\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y*y**0*y))**(1\/3))**(-17))**(5\/2))**(-22\/5) assuming y is positive.\nAnswer: y**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1, -1, -3, -5?\n\"Answer: -2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 366.4 * 23.\nAnswer: 8427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/8801, 1, -133\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 33 + 24. Suppose -6*z + 9 = -g*z. What is the highest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5971800 divided by -2.\nAnswer: -2985900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1024111.\nAnswer: 11, 157, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 15 = 0, -2*x - 15 = -3*v + x. Suppose 0 = 3*m + 2*h + 19, -21 = v*m - 0*m + 3*h. Let u(g) = -17*g - 2. Is u(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (456*o**2 - 915*o**2 + 7*o + 1 + 460*o**2 - o**3)*(-3*o - o + 3*o).\nAnswer: o**4 - o**3 - 7*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -344?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 - -12011?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 42*j**2 - 40*j - 183. Does 7 divide f(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101110100000001011110 (base 2) in base 4?\nAnswer: -11310001132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3436 - 3254.9. Let n = o - 189. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4839135 to the power of 1\/2, to the nearest integer?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -q**5\/60 - 10*q**2 - 2*q. Let o(r) = 18*r**2. Calculate u(o(v)).\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-18)*s\/s**(-3\/13)*s assuming s is positive.\nAnswer: s**(-192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17530 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19886216 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**2 + 1 - 19*x**2 - 1)*(3*x + 4*x + 2*x).\nAnswer: -126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.88 - -0.12. Let h = 0 - 0. Let z = -3 - -3.2. Put h, z, m in descending order.\nAnswer: m, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4120)\/(-2884) - (-109)\/7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*z - 1154 = 249. Sort -0.3, 6, z in decreasing order.\nAnswer: z, 6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5020 = -126*v - 1154 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l - 2*l - l**2 + (-3 + 13 - 3)*(-l**2 - 3 + 3) + (-l**2 + 3*l**2 - 4*l**2)*(-1 + 2 + 0).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*u**2*y + u**2 + u - 222*y**3 - 348 wrt y?\nAnswer: -2*u**2 - 666*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -10. Let m(j) = 5*j + 4 - 4 + 2 + 4. Let h(u) be the third derivative of u**4\/6 + 5*u**3\/6 + u**2. Calculate b*m(d) - 7*h(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/199?  (a) 1  (b) 4\/87  (c) 28\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9875*a**3 - 272*a + 273*a - 1 + 5*a**2 - 1015*a**3 + 37 + a**2 wrt a?\nAnswer: 53160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 30 - -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 950, 1870, 2790?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 52 + 4 = 0. Let t(b) = -b**2 + 7*b + 9. What is the remainder when q is divided by t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44827, -179327, -403501, -717355, -1120895, -1614127, -2197057?\nAnswer: -2869691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((-13)\/15)*((-112)\/14)\/((-33)\/(-11)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5886364147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 45 = -9*v. Let u = v + -11. Suppose o - 16 = -2*f - 3*o, u*f - 20 = -4*o. Solve 3*x + z - 9 = 4*x, -x + f*z - 13 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49 - 83) + (-71 - (29 + -28))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 2, s: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 4 + 148*s + 3 - 116*s in the form m + x*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12104.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -4*v - 38 - 12 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 v when four letters picked without replacement from rvrvvrrvrpr.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42106 + 42106 - 99*r**3 + 389*r**3 + 128*r**3.\nAnswer: 418*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 128293, 128289, 128273, 128239, 128181, 128093, 127969?\n\"Answer: -s**3 + 3*s + 128291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**4\/6 - 10*h**3\/3 - 29*h**2\/6 + 199*h\/3 + 68 = 0?\nAnswer: -17, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgpg when four letters picked without replacement from pggggppppgpgg?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3876 and 102.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/(-21))\/((-9)\/(-42)*11)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -v**6\/120 + 9*v**5\/20 - 81*v**4\/8 - 4*v**3 - 13*v. Let d(u) be the second derivative of x(u). Find j, given that d(j) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, -622, -2\/3, 9 in descending order.\nAnswer: 9, 4\/7, -2\/3, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b**5 + 3*b**2 - 2. Let f(s) = 7*s**5 - 5*s**2 + 5. Let k(o) = 5*c(o) + 2*f(o). What is the third derivative of k(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -5*j - 28. Let z = 22 + j. Suppose 2*p + 3*a = -3*p + 13, -p + 5*a = z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 890066894 and 6023?\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3768000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4048 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -1. Let y(o) = -o + 4. Let r(m) = 3*u(m) - y(m). Let p be r(10). Suppose 0 = -d + p*q + 116, -3*d + 7*d - 5*q = 471. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -13  (b) 1\/4  (c) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-2)*26)\/(-1). Let q be 2\/(-2)*(-59 + b). Solve 2*g + 3*w - 11 = 0, -4*g - 6*w + 2*w + q = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 288 and 64530?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.1092 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l**3 + l**2 - 5*l + 3. Let r(j) = -j**3 - j + 1. Let q(o) = -3*r(o) + y(o). Factor q(h).\nAnswer: h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -19\/8, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/7260 and -137\/6534.\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27253 is divided by 480.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -18743 + -516.6\nAnswer: -19259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10427601.\nAnswer: 3, 59, 58913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15061724\/117 or -128733?\nAnswer: -15061724\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222 = -10*d + 7*d. Let f = -72 - d. What is the third derivative of -27*h**2 - 2*h**f + 3*h**2 - 7*h**4 wrt h?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*f**4 + 137*f**3 + 302*f + 8*f**2 - 1 + 145*f - 138*f**3 wrt f?\nAnswer: 72*f**2 - 6*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*(t*t*t**(-20))\/t*t*t\/t**(-1\/14)*t assuming t is positive.\nAnswer: t**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8515, -0.2, -1, -2467, -4, -0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -16. Let h = 9 + w. Suppose q = -h*q + 10. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 2\/7, -0.7, 0.5, 0.16, 1\/27, 290?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -180\/3061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1856 and -33\/5631568?\nAnswer: 22526272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - a**2 - 14*a - 30. Let k be g(6). Suppose -74 - k = -28*r. Suppose 0 = -0*d - 5*d + 15. What is the highest common factor of d and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 334 divide 244822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 27*n**3 + 1347*n**2 + 11*n + 22. Let l(h) = -10*h**3 - 448*h**2 - 4*h - 8. What is 8*c(d) + 22*l(d)?\nAnswer: -4*d**3 + 920*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 5.4, -5, 118.3, -1\/4 in decreasing order.\nAnswer: 118.3, 5.4, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.3, -1, 222, -1.4, -0.3 in descending order.\nAnswer: 222, 1, 0.3, -0.3, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.73 >= 1534\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 13904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12*(-4 + (-50)\/(-12)). What is the second derivative of -551*c + 1109*c + 2 - 553*c + 81*c**y wrt c?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 6734, 6724, 6714?\n\"Answer: -10*z + 6744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 - -101112?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 53*d - 22*d - 22*d to the form k*d + y and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5*f**2 - 12*f - 101. Let b(d) = 70*d**2 - 170*d - 1415. Let z(v) = -4*b(v) + 55*k(v). Let z(o) = 0. Calculate o.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(567)*5 + 3)*-5 + (2*sqrt(567) + sqrt(567) + 2)*-1)*6 + 2)**2.\nAnswer: 302400*sqrt(7) + 16013008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/5))\/n*n**(-4\/9)*(n**(1\/3))**(-35\/2) assuming n is positive.\nAnswer: n**(-529\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 376356384 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1526*z + 1523*z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -164  (b) 4.57  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -54*v + 243. Calculate s(7).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 5*s**2 + s + 11. Suppose -5*t + 3*n - 18 = 13, 0 = -3*t - 5*n - 5. Let y be j(t). What is u in -4 - 2*u**2 + 0*u**2 + y*u - u**2 + 13 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of w**4\/12 + 1913*w**2. Let j(p) = -14*p - 21. Calculate z(j(x)).\nAnswer: -28*x - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 4*y + 56 - 41 = 0, -l = y - 6 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2724050 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.41 + 3.99. Let d = 0.8 + 0.7. Let p = k + d. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -288, -588, -918, -1290, -1716, -2208, -2778?\n\"Answer: -2*q**3 - 3*q**2 - 277*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -122. What is the remainder when 458 is divided by y?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.03, 454, 0.05, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence emte when four letters picked without replacement from emetmlteeteetltel?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2825*l - 70642. Give u(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.69407614 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -101120 (base 3) to base 16\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 7*x + 2. Let z(p) = -13*p - 3. Let c(h) = -11*w(h) - 6*z(h). Let y be c(-6). What is the least common multiple of 14 and 2*5\/y + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 1. Let c(v) = 2*v + 4. Suppose 8 = -2*t + 2*j, 3*j - 7*j = 2*t - 22. Give t*c(l) + 3*b(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -7*b + 36. What is s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 124 - 2*g + 97 - 272 + g in the form j + n*g and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -322 divided by 799118.\nAnswer: -161\/399559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 230 - 190. What is the lowest common multiple of y and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + -4 + -2*sqrt(539) - (4*1*sqrt(539) - (1 + 1*sqrt(539)))))**2.\nAnswer: 280*sqrt(11) + 13491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -2 + n + 1\/2*n**2. Calculate the smallest common multiple of l(5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 7. Suppose -2*g = -s + 3*s - 14, 7 = g - 3*s. Let t = g + 1. Is p(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -3, 5, 9 in decreasing order.\nAnswer: 11, 9, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3144)\/2751*(-2 + 33\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**3 + 6165618*k**2 - 3167928439155*k + 25343032915224 = 0. Calculate k.\nAnswer: 8, 1027599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 - (0 - (0 - 0)). Let g be (1 + -1)*(i + -7). Let k be 7\/28*2\/(-6)*-2. Put g, -1, k in ascending order.\nAnswer: -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/25367940 and 149\/55809468?\nAnswer: 279047340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8338, 16664, 24990, 33316?\n\"Answer: 8326*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118, 232, 358, 502, 670, 868, 1102?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -8*r - 147. Determine q(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122833 is divided by 222?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 20. Let i(t) = 2*t**2 - 5*t - 8. Let a = 2171 + -2166. Calculate the smallest common multiple of i(s) and a.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 (base 15) to base 10\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-39) + (-111)\/(-39). Suppose h*v = -2*v + 20. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/6 - (-7)\/(-6) and -6*-2*(-99)\/836.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -136 - -1226\/9. Let m = 0.5 + -0.8. Let w = -0.1 - m. Sort w, -2\/11, a in descending order.\nAnswer: a, w, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/(242190\/(-92))*(-5)\/(-2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/sqrt(147) - (2 + sqrt(1872) - sqrt(1872))**2.\nAnswer: -4 + sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 - -1) + -1 + (-15 - -10). Suppose -2*y + 15 = y. Suppose -r - 3*r = -3*u - 21, -y*u = -25. Solve -3*h - r = -z*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36123248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-749)\/214*(-6)\/(-7))\/(21\/(-16))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213427 is divided by 441?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**6\/6 + 3*a**4\/2 - a**3 + 9*a + 24. What is the third derivative of z(q) wrt q?\nAnswer: -60*q**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 8. Let r(t) = t**2 - 2. Let h be r(b). Find the second derivative of h*l + 6*l**2 - l - 4*l**2 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -11*d. Let b(r) = -r - 13. Let z be b(-10). Let m be ((-1 - -2) + 1)*(z + 2). Calculate a(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 151687 by -6.\nAnswer: -151687\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27030.48729 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 2*i - 333000 = 3*i, -4*i = -5*j + 333000. What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 15 = -4*i. What is the common denominator of 81\/2 and 44\/i + (-4)\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -293*b - 454 - 111 - 314 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1875164 and 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*i - 94, 4*i - 4 = 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -35*m + 14828 - 14653 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*y*y\/y**23))*y)**(-43)*(y**(-2\/7))**33 assuming y is positive.\nAnswer: y**(5653\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 288123119169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8297*c**2 - 1330*c**5 + 8297*c**2 + c**5 - 4*c**5 + c**5 + (c**3 - 3*c**3 + 3*c**3)*(2*c**2 + c**2 - 5*c**2).\nAnswer: -1334*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 560 - 30. List the prime factors of c.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, d: 3, k: 2}. Give prob of picking 3 d.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25868, 51732, 77596?\nAnswer: 103460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 602*p = 1497*p + 2685 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29839 and 1051121.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2444, -4889, -7332, -9773?\n\"Answer: k**2 - 2448*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/((27\/24)\/3). Suppose -n = 5*i - 38. What is the greatest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r**2 - 6*r**2 - 7*r**2 + 10*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + (-1)\/3 + (-16)\/24. Suppose z + 12 = -4*i, -2*z - 3*z - 2*i + 30 = s. Suppose -j + 3 = -r, r + r = 3*j - z. Which is bigger: j or 10\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((23*(-4)\/(-2300))\/((-132)\/(-24)))\/((-2)\/10).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010820730578 to 5 dps.\nAnswer: 0.01082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pqztqnap. What is prob of picking 1 p, 1 n, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -13, 2 in ascending order.\nAnswer: -13, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/2)\/(3\/(-2)). Let b be -1*5*(2 + -3). Let h be (2\/7 - 86\/154) + 3597\/13189. What is the nearest to h in 4, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 39 = -10*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -119 - -119.0000546. What is o rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 8*y**2 - 12*y - 2. Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -732 + c**3 + 210 + 15*c**2 + 258 + 25*c + 250. Suppose 32 = -2*n + 6. Calculate h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 9) + -12 + 231\/14 - -1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h**2 - 8*h. Let i(g) = -438570*g. Calculate i(w(f)).\nAnswer: -1315710*f**2 + 3508560*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -1\/3  (c) 2\/21  (d) -1  (e) 0.1  (f) -4  (g) 96\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -498, -2016, -4542, -8076, -12618, -18168?\nAnswer: -24726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(13) + ((2*sqrt(143))\/sqrt(11))**2)*-2.\nAnswer: -107 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*j - 42*j - 2076 - 733 = 6031 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43721.\nAnswer: 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-29 + 13 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165 + 1965 = 213*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**0*u))**(7\/6))**(-26) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - x. Let s(t) = 4*t**3 + 36*t**2 + 36*t. What is 72*g(f) + 2*s(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 194907152 rounded to the nearest 100000?\nAnswer: 194900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 141 + -455553?\nAnswer: -455412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1108 + 554 + 553 + 359*o to y + k*o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-161.\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 331*l - 2335. Calculate j(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 1 - 4)*(-4*o**2 + o**2 + o**2 + (o**2 + 4*o**2 - 4*o**2)*(-4 + 2 + 6)) in the form g + s*o + x*o**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2271 (base 15) to base 4\nAnswer: -1302022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) + 2 + -1)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d. Let m be (-5)\/((-15)\/18*3). Let w(q) = m*q - 11*q + 8*q - 84 + 3*q. What is w(n(c))?\nAnswer: -2*c - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3 + 1978*c**2 - 409*c - 363*c + 1067*c**2 + 1357*c**2 wrt c.\nAnswer: 8804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1005 or 1007?\nAnswer: 1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2799.346km in meters?\nAnswer: 2799346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**2 - 6*c - 3 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 38 and -0.3987857?\nAnswer: -15.1538566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-1)\/((-3)\/12). Let i be 5\/1 - 4\/h. Solve i*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -b**4\/12 - 4*b**3\/3 - b**2 - 2*b. Let j be d(-7). Differentiate -2*l - 3 + j + 0*l with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**3 - 6*l**2 + 3*l - 1. Determine n(5).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 15*x - 52*x + 96*x**2 - 24*x - 3*x + 20. Let g(c) = -32*c**2 + 21*c - 6. Let w(r) = -20*g(r) - 6*i(r). What is the second derivative of w(f) wrt f?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-7 + 11) - (-1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of j**7\/84 - j**6\/30 + j**4\/12 - j**3\/12 - 9*j. Factor p(t).\nAnswer: t*(t - 1)**3*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5340033284?\nAnswer: 2, 3761, 354961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -11\/2*q**3 + 0 + 2*q**2 + 52*q. Differentiate d(k) with respect to k.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -9*t**4 - 2*t + 3. Let s(p) = -17*p**4 - 5*p + 6. Let o be (-1)\/(-1)*(-5 - -10). Let v(j) = o*i(j) - 2*s(j). Find the first derivative of v(l) wrt l.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 33, 22, -3, -48, -119, -222, -363?\n\"Answer: -p**3 - p**2 - p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(16\/12*(-9)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z - 4*z + 3*z - 3 + 3 + 2*z + (-4*z - z + 4*z)*(-3 - 2 + 7) - 2*z + 3*z + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(76) - sqrt(76)*1)*-1)\/(((sqrt(216) + 2*sqrt(216) - sqrt(216))\/sqrt(9))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 2*n - n)*(1 - 1 + n) + 4*n**2 - 4*n**2 + 5*n**2 + (n**2 + 4*n**2 - 7*n**2)*(0 + 5 - 3) - 89*n**2 + 86*n**2 + 36*n**2.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 10.9\nAnswer: 5.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -14*p**2 - 3. Let g(v) = 363*v**2 + 77. Let f(z) = 3*g(z) + 77*h(z). Let o(n) = 6 - 13 - 4*n**2 + 7. Determine f(o(k)).\nAnswer: 176*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -324*h**3*o - 6*h**3 + 43858*h**2 - 2090*h*o wrt o?\nAnswer: -324*h**3 - 2090*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62776 and 167181.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d. Let b = -3 + 2. Let f be l(b). Suppose 0 = -49*q + 36*q + 26. Solve -4*p + f*w - 3 - 13 = 0, 4*w - 18 = -q*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12854004  (b) -0.3  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22689 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: Solve -651*m + 647*m - u + 5 = 0, 4*m + 63 = -2*m + 2*m + 3*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + -34. Let u = -44.986 - m. Let d = u - -8. What is d rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-2)*13\/39?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {s: 7, c: 3, q: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1368930 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(32) - 2*sqrt(128).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jhvj when four letters picked without replacement from {j: 10, v: 2, h: 2}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 4*h + 230176 = 0, 65*v = 63*v - h + 92068. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -4. Let p be m\/((-3)\/9 + 0). Solve -f = -4 + p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5325 (base 13) to base 5.\nAnswer: 332043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 167979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 - 49. Calculate the remainder when 34 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101457779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 - 26054082*z**2 - 56567932405227*z.\nAnswer: -3*z*(z + 4342347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 8 = -6*g, -3*f + 11*g - 21*g - 19 = -8*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 41303, 41413, 41523, 41633?\n\"Answer: 110*b + 41193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -s + 3. Let b = -21 + s. Suppose 11*p = 4*p + 210. What is the remainder when p is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3584922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2\/5 + 23952*n\/5 + 23949\/5.\nAnswer: 3*(n + 1)*(n + 7983)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-158120)\/(-120))\/(1\/3). Suppose -8*k = -l - 3799. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 + -2.3. Let g = 27.4 + o. Let q = 29 - g. Which is the second biggest value?  (a) -3  (b) 1\/6  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 1. Let s(o) = 293*o**2. What is d(s(k))?\nAnswer: -293*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3405 + 3627. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 379372.8ng?\nAnswer: 0.0003793728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.57 - -0.0606\nAnswer: 0.6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 153732138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (8 - -4 - 7) - -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*f + 20 - 48 = 0, 5*g - f = -68. Let w(a) = a + 13. Let k be w(g). Suppose 3*r - 277 + 10 = k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.9?  (a) -1\/6  (b) -0.1  (c) -341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 36*s**2 - 39*s - 511. Give x(38).\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -294508 - -172919. Is j\/(-117) + 4\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**2 + w**2 - 3*w**2 + (-w - w**2 + w)*(4 - 1 - 1) + 2414 - 2414 - 47*w**2 + 0*w**2 - 4*w**2 + 2*w**2 to the form k*w**2 + s*w + m and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3298754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 9, 18, 0, 39, 1.\nAnswer: 0, 1, 3, 9, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 2*r**2 + 5. Let q(u) = 2*u**3 + 7*u**2 + 14. Suppose -4*w - 12*n + 32 = -14*n, 3*w = -4*n + 13. Determine w*y(p) - 2*q(p).\nAnswer: 3*p**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 - -14015?\nAnswer: 14001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 8*v + 5. Suppose 0 = -f - v. Let s = f - -15. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483*l = -619*l - 1088 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8671 + -248860833.23?\nAnswer: -248860832.3629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-38)\/(-6) + (-8)\/(-102)*340\/40. Put 0.1, 28, q, -25 in descending order.\nAnswer: 28, q, 0.1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23828 and 9982?\nAnswer: 738668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 113, 0.1, -0.120144, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 124\/11  (b) 1  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 14 = 396*n - 400*n + 3, 5 = -5*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -a?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**2 + n. Let t = -34 + 36. Let h(q) = -7*q**2 + 9*q + 9. Let z(y) = -3*y**2 + 4*y + 4. Let r(b) = -4*h(b) + 9*z(b). Calculate t*r(o) + l(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of 5*x**4\/24 - 5*x**3\/3 - 53*x**2. Differentiate n(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25924200 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**3 - 24*p**2 + 48*p - 32 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8 - -1)\/(2 + -1). Let g be (-1 + (-78)\/(-42))*(-8 - -1). Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62013 (base 7) in base 5?\nAnswer: 440402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 468749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b + 3*b**2 - 5*b)*(-2 + 0 + 0) - 13*b**2 - 11*b**2 - 2*b**2.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5\/11 - 12*m**4\/11 - 222*m**3\/11 - 680*m**2\/11 - 600*m\/11 = 0. What is m?\nAnswer: -5, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1027848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(180)\/sqrt(3)*-2)\/(sqrt(1200) + (sqrt(1200)*2 - sqrt(1200) - sqrt(1200))).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 8:43 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -93303*i**2 + 186199*i**2 - 87487*i**2 - i as g + a*i + p*i**2 and give p.\nAnswer: 5409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -35, -2\/9, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 121210 divided by 2?\nAnswer: 60605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1168 at most as big as 10502\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 10.8, 1.255, -0.3, -0.5?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*r = -115 + 400, 297 = -2*d - r. Is 4\/14 + (-38031)\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2663.4 and -25.248?\nAnswer: 2688.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r**2 + 15*r - 47. Let t be f(5). Let z = 207 - t. What is the least common multiple of z and 2\/(-4)*(-33 + 9)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j. Let i(v) = -v**3 + 6*v**2 + 6*v - 2. Let g be i(5). Let x(t) = 53 + 6*t - g. Give x(y(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/10 + 1802\/(-10). Let l = 210 + p. What is the smallest common multiple of l and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/8*8\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2176*c**2 - 1603*c - 158628716 wrt c.\nAnswer: 4352*c - 1603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(1300) + -5)*-3 + 6*(-4 + 2 + sqrt(1300)))*1)**2.\nAnswer: -180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/((-4)\/1))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*s**3 + 141*s**3 + s**2 - s**2 - 220*s**3 - 194*s**3.\nAnswer: -350*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - 4*n**2 + 3*n**2)*(71*n - 71*n + 29*n**2)*(2*n + 0*n - 3*n) + 9 - 2*n**5 - 13 + 8.\nAnswer: 27*n**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 568584933.\nAnswer: 3, 7, 29, 131, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 502 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -c806 (base 13) in base 12?\nAnswer: -14062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 5*j - 45, -3*v - j = 9 + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(119) - (-1*sqrt(119) + sqrt(119))) - sqrt(119)) + sqrt(119) + (sqrt(119)*2 - sqrt(119))*4)\/(sqrt(140)\/sqrt(5) - 3*sqrt(28)\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20042 and 1034?\nAnswer: 941974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -8*r**3 + 4*r**2 + 3. Let f = 136 + -140. Let w(z) = -7*z**3 + 3*z**2 + 2. What is f*w(x) + 3*v(x)?\nAnswer: 4*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(6)\/(sqrt(2) + sqrt(98)*3) + 0 + -2)**2*-5 + 0 + 1.\nAnswer: -9211\/484 - 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -19*a**3\/6 + 18*a**2 - 46*a. Find the first derivative of k(l) wrt l.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 5*c**3 - 360*c**2 + 6655*c - 6300 = 0.\nAnswer: 1, 35, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3 - 65739225*p**2 - 216082383788835*p - 648246559713615.\nAnswer: -5*(p + 3)*(p + 6573921)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 < -57229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, h: 3, j: 1, s: 2, t: 1, l: 3}. Give prob of picking 1 t and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 641 - 623. Let g(r) = -r**2 + 14*r + 74. Let j be g(p). Solve -j*h + 2*h + h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 12706088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x**3 + 49*x**2 - 1057*x - 1105 = 0. What is x?\nAnswer: -65, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 143*z**2 - 31*z + 4*z**3 - 140*z**2 - 5*z**3 - z**3 - 8*z to d*z + v*z**2 + c + f*z**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 71. Let r = y - 8. Calculate the greatest common factor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w**4*w)\/w)\/w)\/(((w*w**14)\/w)\/w) assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 76*y + 318. Let d be w(-3). Let f(t) = t**2 - 13*t + 42. Let i be f(21). Calculate the highest common divisor of i and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*x = -0*x + x + 632. Solve 26*d + 226 + x = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -799 + 364 + 368 + j**2. Let f(n) = 2*n. Calculate f(s(m)).\nAnswer: 2*m**2 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2c0 + -5?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 2014740.\nAnswer: 4029480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -1, 58 in increasing order.\nAnswer: -7, -1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 204697 or 204698?\nAnswer: 204697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 350394 is divided by 349.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.00458 - -0.002. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.182 + -3.818. Which is the second smallest value?  (a) -2  (b) -0.1  (c) -0.4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.37 - 0.07. Let u = -0.719 - 5.281. Put 3, u, t in descending order.\nAnswer: 3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 801 - 46459\/58. Which is the nearest to 2?  (a) -0.1  (b) u  (c) 0.1  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*y + 5 + 5 - 10 as p + n*y and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -28*b**3 + 26*b**2 + 5349*b. Let r(a) = -9*a**3 + 8*a**2 + 1781*a. What is 4*g(c) - 13*r(c)?\nAnswer: 5*c**3 - 1757*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 + (-34 - -10) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0*y)**(-1\/4)\/(y*y**(2\/15)*y)**7 assuming y is positive.\nAnswer: y**(-911\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1425\/(5\/((-4260)\/(-1713)) + -2). What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 19 - (-96 - -115)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 5. Let g = s - 3. Suppose -2*z + 2 = -4*c, -3*z = -g*c - 3*c - 7. Solve 0 = -w - 2*w - z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616397.9 litres in millilitres?\nAnswer: 616397900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 65*d**2 - 3*d - 2 - 131*d**2 - 12*d**3 + 2*d + 0*d**4 + 6*d**4 + 68*d**2 as g*d**3 + p*d**4 + r + i*d + v*d**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 806 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13095780 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 437 - 436. Suppose 0 = -7*r + l + 195. Calculate the least common multiple of 20 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5 + 5 = 0. Let y(z) = -4*z**3 + 2*z**2 - 1. Let s be y(-1). Let k = b - s. Solve k*h + 2 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/10 and -117\/590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - 6*k**2 - 25*k + 12. Let l be r(11). Let t be (12\/(-9))\/((-4)\/l). What is the units digit of (-8)\/10*(-19)\/(t\/360)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 957190635 to the power of 1\/3, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(612)*-1)**2 - (3 + -3*sqrt(17))**2).\nAnswer: 36*sqrt(17) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 + 10 - (2 - 5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3267*u = 5358*u + 5559*u + 107100 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 0  (c) -11  (d) 2\/7  (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o + 14. Let f be t(5). Suppose -2*k = -4*b + f, 2*k - b = -k - 1. Solve k = -3*a + 7*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82726\/55 + -1504. Let z = n + 251\/220. Let r be ((-3)\/(-2) - 0)\/(-3). Which is the nearest to r?  (a) -1\/5  (b) z  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aeeyeyepeeeeeey. What is prob of picking 1 e and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -1, 1, 0.5, 497?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 3*h - 57, 0*b + 49 = 4*b - h. Let c be -4 + 64\/b + -2. What is the third smallest value in c, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1974 in 0.2, 286, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 3058512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.01 - -0.01. Let q = -5 + i. Suppose 0 = 3*d - 8*d. Sort q, d, 1 in descending order.\nAnswer: 1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*i + 2 = -0, 10 = 4*b + 2*i. Is ((-76929)\/(-6) + b)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of 0*r**2 + 1\/14*r**8 + 0*r**3 + 0*r**7 + 0*r**5 + 2\/3*r**4 + 0*r**6 + 0 + 9*r. What is the third derivative of h(a) wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305987518.\nAnswer: 2, 89, 293, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 10232031332?\nAnswer: -10232031322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 452859 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -242\/245 - -36\/35. Find the common denominator of 1\/4*(-1330)\/49 and n.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + 9*v - 2. Let t be a(6). Suppose k = 3*k - t. Calculate the remainder when 14 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 19*t - 89. Let a be o(-9). Solve w = -3*k + 9 + a, 0 = k - 4*w - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 - 3 = 5*f - 23*m + 25*m, 0 = -4*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 12*m**2 + 30*m - 32. Let l be a(14). Suppose 5*n - n - 60 = 0. Suppose -n = -t + 6*t. Sort l, t, 4 in ascending order.\nAnswer: l, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.6 + 2. Let w be ((-4)\/16)\/((-15)\/48). Which is the second biggest value?  (a) d  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 7:58 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719 is divided by 149.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 12 + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllrllttlpllltlt. Give prob of picking 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 154930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 11 = 5*t + 41, 3*v = 4*t + 24. What is b in 1\/4*b**5 + v*b + 1\/4*b**3 + 0 - 1\/2*b**4 + 0*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1110017752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*h - 2*d, -20 = -4*h + d + 33. Let o(j) = -h + 12 - 2*j. Let c(x) be the first derivative of -x**2\/2 + 2. Give c(o(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3374 - 5514. What is v rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 8:39 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 17*-5.7\nAnswer: -96.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2.582 * -4\nAnswer: -10.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + 0. What is the second derivative of w*n**2 - n + 0*n + n**2 - 2*n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 55, -4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 6*o - 3. Let n be l(-4). Suppose 5*s = -10, f + 3*s = n + 73. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 14. Let g be b(18). Suppose -2*w - 64 = -2*t - 4*w, -5*t + 2*w + 132 = 0. Let x = g - t. Solve 0*q = x*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (890\/(-14685))\/((-4)\/55).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13235 or -13237?\nAnswer: -13237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/5 and 1.77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-5))\/((j\/(j*j\/(j**(-1\/6)\/j)))\/j*j*j)*j**(-4\/7)*j\/(j**(2\/9)*j)*j assuming j is positive.\nAnswer: j**(-331\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 10*j + 5*j**3 - 4*j**3 - 1078048 - 7*j**2 + 1078045. Determine v(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -89 + 18 + -67 + 127?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 12066 = 3*l, 4*x - 5362 = 4*l + 6710. Is 3012 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-5 + 5) - (1 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-27))\/h*(h**(-27)\/h)\/h)**29 assuming h is positive.\nAnswer: h**(-1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k**3 + 8*k**2 + 72*k - 814. Give m(11).\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1.1, 1\/2 in descending order.\nAnswer: 1.1, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 8*n**2 - 1. Let u = -11 + 12. Let g(y) be the first derivative of y**3\/3 - y + 3. Let d(r) = u*h(r) - 3*g(r). Differentiate d(x) wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*q = 25781 + 5944. What are the prime factors of q?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.8499816 + 0.85. What is l rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7780  (b) -0.5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 6 = -t - 2*h, -t + 3*h + 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(408)\/((sqrt(64)\/sqrt(8) - sqrt(8)) + sqrt(8)))\/((-3*sqrt(9))\/sqrt(3)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2183460 and 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -9. Suppose f - 17 = -h*q + 3*q, -f + 1 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 6*m + 4*m)*(-1 + 0*m - 3*m + 7*m).\nAnswer: 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 21 = 5*m. Let d = m + -1. Let i be (d\/(-12))\/(6\/(-36)). Which is bigger: 2.1 or i?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -157*c**3\/3 + 253*c**2 - 125*c. What is the derivative of u(p) wrt p?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 604209 - 348630. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 98*l**2 - 9*l - 124. Let c(u) = -25*u**2 + 2*u + 31. Let w(y) = 9*c(y) + 2*f(y). What is the derivative of w(j) wrt j?\nAnswer: -58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 6*l = -5. Let k(h) = -2*h**3 - 6*h**2 - 6*h - 6. Let j(r) = r + 3*r**2 + 3*r**2 - 7*r**2 + 2*r**2 + 1. Give l*k(c) + 6*j(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**4\/12 - 1955*d**3\/6 - d**2 + 505*d. Let q(a) = -2*a**2. Give q(n(f)).\nAnswer: -8*f**2 - 15640*f - 7644050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*x = 72 + 98. What is the closest to -0.3 in x, -0.174, 5, 0.1?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 times -0.0359\nAnswer: -1.4001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -3*r - 2. Let c be h(-5). Let p = c - 2. Is (422\/(-10))\/(p\/(-55)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + -3)\/(3\/178). Is 20 a factor of 5*8\/60 - r\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 406 + -404. Let b = -0.2 - -0.22. Let c = -2.98 - b. Sort q, -1\/7, c in ascending order.\nAnswer: c, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - c = -19, -3*c = -2*k + 5*k + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -p**2 - 19*p - 2. Let c be t(-12). Put 2, 3\/7, c in decreasing order.\nAnswer: c, 2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -360 divided by 72\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9987452639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 24*z - 20*z = 312, -c + 4*z + 68 = 0. Calculate the lowest common multiple of 532 and c.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0961325155 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27000 and 2875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -26 + (-1 - -3) - 50\/25. Let t = 407\/30 + -202\/5. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -593, -594, -595?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**5\/60 + 7*u**4\/24 - 4*u**3\/3 - 2*u**2. Let v be o(6). Let a(s) = -4 - s + 1 - s. Determine a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 40*m**2 + 31*m - 36. Let c be k(-28). Let g = 12445 - c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**3\/3 + 1412902*r**2\/3 - 22042520*r\/3 - 9043072\/3 = 0.\nAnswer: -282596, -2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 + -0.7. Let j(d) = d**2 + 8*d - 11. Let f be j(-9). Let m be 1 + (1\/(-5) - 93\/60). Which is the nearest to i?  (a) 2\/17  (b) f  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 2101.\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*t + 14*t - t**4 - 7*t - 118*t**3 + 120*t**3 - 328*t**2 in the form j*t**4 + l*t**3 + c + d*t**2 + p*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41.3173272 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 z when four letters picked without replacement from {a: 1, e: 1, o: 1, v: 1, z: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n\/n**(-2\/7))*n*n*n)**(-1\/58)\/((n**(1\/5)*n)\/(n*n**(1\/10)\/n))*(n**(2\/5))**(-6\/17)\/(n**4*n*n**(-4)) assuming n is positive.\nAnswer: n**(-78363\/34510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 5*s + 36 - 131, 0 = -4*p - 3*s + 83. What is the highest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/2853 and 57\/168961?\nAnswer: 1520649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 347 + (-10)\/(-5) + (2 - 6)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j*j\/(j\/(j\/(j*j**(-1))))*j*j*j))**(-19)\/(j*j**(-3)*j*j\/((j**(2\/15)\/j)\/j)))\/((j**(-2))**(2\/15)*j**(-1\/4)*j*j**8) assuming j is positive.\nAnswer: j**(1693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -68*s + 16. Let z(y) be the first derivative of 13*y**2\/2 - 3*y - 221. Let q(g) = -3*p(g) - 16*z(g). Let x(h) = -90*h**2. Determine q(x(r)).\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 6 + -2 - 7 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -242, -1\/6, 1, -38\/7, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p. Let k(j) = j**2 - 7*j + 8. Let b be k(6). Let l(s) be the first derivative of b*s - 2*s - s**2 + 1. Calculate l(d(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 633474419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*c - 3 = -2*h, -4 = -h + c. Let g = 36 + -33. Suppose 0 = 2*j + v - 11, h*j - 2*j + g*v + 7 = 0. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10350*n**4 - 20*n**2 - 12*n.\nAnswer: -248400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 818 + 3650. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**2 - 4*m**4 + 2*m**2 + 2*m**4 + (0*m**2 + 7*m**2 - 22*m**2)*(2 - 2 + 2*m**2).\nAnswer: -32*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + n = -2*n + 2, 1 = l - 2*n. Let q be 43 - (l + 1 + (-5 - -5)). Find the second derivative of q*y**4 + 64*y**2 - 24*y - 64*y**2 wrt y.\nAnswer: 492*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -14. Let y be -3 - (3 + d - 8). Solve 2*f - u = 3*u - 24, -y*f + 5*u = 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(19) + sqrt(19)*2*3 + 0)**2 + 5 - ((-1 + sqrt(475))**2 + ((sqrt(57)\/sqrt(3) + sqrt(19) - sqrt(19) - sqrt(19)) + -4 - sqrt(19)))).\nAnswer: -2320 - 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -50*(-3)\/30*4*92178\/72.\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (550\/(-20) + 24)\/((-63)\/396)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**3\/5 + 34974*o**2\/5 + 4306512*o\/5 + 8473144\/5 = 0. Calculate o.\nAnswer: -17363, -122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2115, 4128, 6147, 8172, 10203?\nAnswer: 12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 2:02 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3678 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-5)\/j)\/j**(-1))**(3\/4)*(j**(1\/3)\/(j*j**(2\/11)\/j))\/(j**(2\/3))**(-1\/18) assuming j is positive.\nAnswer: j**(-4231\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.4, 2, -16\/5, -0.5, -157?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-3*sqrt(300)*-1 + sqrt(300))\/(-2*sqrt(250) + sqrt(250)))\/(sqrt(10)*-3*-6 - sqrt(50)\/sqrt(5)*3).\nAnswer: -4*sqrt(3)\/75 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 5 + 61 = 0. Let l be (12\/i - 11\/(-2)) + -4. Let w(p) = 0*p - 23 - 2*p + p. Calculate w(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736 is divided by 179?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 61609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -0*i + 2*i + 10, z = 3*i - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -364, 3\/7, -20?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00169852 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -243, -0.5, 0.1, -4, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/2052 and 71\/72333.\nAnswer: 289332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (0 - (-33 - -70)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 2:05 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(2*w - 3*w + 3*w) + (-3 - 1 - 6)*(5 - 12 - 3)*(71*w + 70*w - 136*w - 6).\nAnswer: 496*w - 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l + 11*l**2 - 3*l + 16 - 16 to the form y*l + m + u*l**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63312 and 43527.\nAnswer: 696432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 143176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.45 + 27.55. Let r = l + -27.7. Let p = -0.2 - -0.3. Which is the second biggest value?  (a) p  (b) r  (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7010796 is divided by 143.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7\/25 of a meter?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 72*z**2 + 141*z - 528. Give x(-74).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11171 or -9190?\nAnswer: -11171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.38 + -0.02. Let u = -390 + 617. Let f = u - 225. What is the closest to -2\/7 in a, 1\/4, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -480, -648, -816?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 7:28 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 6. Give w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5978569 - 214741364. Let j = -208762710.4000367 - i. Let b = 84.6 - j. Round b to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.1, 4, -3, 0.7, -4, -4505, 3 in increasing order.\nAnswer: -4505, -4, -3, 0.7, 1.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1. Let b(o) = -o**2 + 897*o + 3608. Let u be b(-4). Solve 3*h - 15 = f, -u*y + 9 = -0*y + h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1433861783?\nAnswer: 1433861783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 6*y + 5. Let u(k) = -k. Let b be u(-5). Let v(j) = -5*j - 4. Let d(z) = b*v(z) + 4*n(z). Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 929443 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2454*f**3 - 2448*f**3 + 4897*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2. Let v(s) = 9*s**2 - 4*s + 4. Let q(i) = i**2 + i - 1. Let y(w) = -4*q(w) - v(w). Determine y(r(g)).\nAnswer: -13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -59  (c) 0.2  (d) -0.23883\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 123301 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*15\/13 + 22500\/468 + -48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d = -4*d + l - 7, -4*d + 2*l + 16 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1005*t + 999*t + 240 = 0. Sort 5\/3, 2\/15, t in descending order.\nAnswer: t, 5\/3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.7 + -2.5. Let s = 0.5 - h. Let o be ((-2)\/(-12))\/(18\/(-72)). Which is the closest to 0?  (a) -4\/5  (b) o  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 10:36 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5920 and 68450.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(2) - (sqrt(2) - (sqrt(200) + -3)) - (-4 + 3*sqrt(2))) + (3*sqrt(8)*-4)\/(sqrt(24)\/(sqrt(6)*-3)).\nAnswer: 3 + 57*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2611224.4677 + 2627457.47. Let d = l - 16184. Let c = -49 + d. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2049052771 to 3 decimal places.\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300 = 3*u - 3*h, -10*h + 6 = -7*h. Let o(l) = 61*l**2 + 53*l**2 - u*l**2. Let s(a) = -11*a. Determine s(o(n)).\nAnswer: -132*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*1*sqrt(66))\/(sqrt(96)*1 - sqrt(6))*-3 + 1)**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -280 divided by -11454?\nAnswer: 140\/5727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3299860094.\nAnswer: 2, 23, 239, 300151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-4 + 9 - ((-42)\/7)\/(-2)). What is the nearest to -2\/3 in n, 2.5, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -124a79a4 + 3?\nAnswer: -124a79a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 12. Suppose 4*w + 36 = l, l + 0*w - 1 = -3*w. Calculate the lowest common multiple of l and b(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16542761 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -9, -3, 9, 27, 51?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 7*q - 12. Let p be u(7). Let s(c) = c**3 + 12*c**2 - c - 13. Let k be s(p). Let w be k\/(-1) + -4 + 3. Sort 4, 2, w in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.72 + -1931.418.\nAnswer: -1934.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*f**3 - 2*f**2*u*y**2 + f*u*y**2 + 3*u*y**2 - 29*y**2 - 2*y wrt f.\nAnswer: 12*f**2 - 4*f*u*y**2 + u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 198636570 and 85305.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2 - 3 = 0. Let z(o) = -4*o + 1. Let v be z(j). Suppose -p + 4 + v = 0. Solve 5*r - 9 - 7 = 3*s, -3*s + p = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -4*f + 1, -f = 2*c - 13. Let y = 20 + -3. Let w = y + -16.9. Is c bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.3 - -1.2. Suppose 0 = q + 4*q - u - 24, 3*q - 32 = 5*u. Sort j, 0, q.\nAnswer: j, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 + 0*i**2 - i**2)*(-1 + 1 - 1)*(-44 - 12 + 90).\nAnswer: -68*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-8)*(1 - -3). Let n(l) = -2 - 392*l**3 - g*l + 390*l**3 + 0 + 13*l**2. Let w be n(6). Solve c + 2*m - 3*m = 0, 3*c - 5*m + w = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -100*i + 123*i + 138 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76) + 2*sqrt(76)*4) - sqrt(76)) + sqrt(76) + sqrt(76))\/sqrt(4).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**15)\/((a*a\/(a*a\/(a*a*a**(2\/7)))*a)\/a))**31 assuming a is positive.\nAnswer: a**(-3534\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**3 + f**2 + f + 3. Let s be v(-2). Does 15 divide (14 + s)*(3 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -4352100?\nAnswer: -4352052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1118102 + 25?\nAnswer: 1118127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3310074 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-8) + 805\/(-280)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*d + 3*k, -k - 9 = -2*d - 1. Suppose 10*x = d*x + 20. Suppose -x*i + 1266 + 3190 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a hour in seconds?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.055 and -51423521.\nAnswer: -51423522.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -x + 1805, 0 = -213*r + 218*r - 4*x - 1780. Calculate the highest common factor of r and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33376 and 98489.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.8  (b) 0.05  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 352 - -464. Suppose 55*q + l = 58*q. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/189*-15)\/(-5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 966843541 to the power of 1\/2, to the nearest integer?\nAnswer: 31094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 44790709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2461 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 g = 494 + -303. What are the prime factors of g?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10815*f**3 + 21611*f**3 - 10789*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -7\/6, 1.7, 4, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 252  (b) 157\/6  (c) -3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 3535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((u + u + 0*u)*(2*u - 2 + 2) + (-2 + 2 + 2*u**2)*(2 + 2 - 5))*(-41587 - 21*u + 83290 - 41614) in the form w + s*u**2 + i*u**3 + y*u and give s.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2930 * 405.\nAnswer: 1186650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.8 + -0.0912?\nAnswer: 12.7088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -122332131303 (base 4) to base 11\nAnswer: -3aa0000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/3)\/(33\/(-99))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*(132\/352)\/(9\/16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -4*u - 26, 5*d + 29*u = 3*d + 6*d - 108 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16098, 32068, 48038, 64008?\nAnswer: 79978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 13*l - 30. Determine t(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 62*s - 107*s.\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**3 + 6*q**3 - q**3 + (3*q - 2*q - 2*q)*(-2*q**2 + 3*q**2 - 2*q**2) + 5*q - 2*q**3 - 5*q + 39 - 17*q**3 - 39 - 4*q**2.\nAnswer: -16*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 12*n - 11. Let h be m(-13). Solve 3*x - 29 = -h*x + 3*f, -14 = -5*x - 2*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, v: 1, n: 5, u: 8, o: 2}. Give prob of sequence ovo.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 + -76. Let v = -3 - -10. What is the remainder when v is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ryrerrwewep. Give prob of picking 1 r, 1 e, and 1 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*s + 35 = 2*x, -8 = -2*s. What is the remainder when 83 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(198) + (-2*sqrt(198) - sqrt(198)))*-1 + sqrt(198))*1)\/((sqrt(30)\/(sqrt(5)*2))\/((-1*sqrt(36) - sqrt(36))\/sqrt(12) + sqrt(3))))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 14*g**2 + 12*g + 3. Let k(y) = 2*y - 3. Let c be k(-5). What is the units digit of s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 122 = 1066. Let l = -19 - -31. Calculate the greatest common factor of z and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/500)\/((3795\/(-1012))\/(20\/6))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-37)\/((-17612)\/(-28)) - 4\/(-17)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 3*p**2 - 6*p - 5. Let v be r(-4). Solve 5*a + 3*c = c + 1, 4*a + 13 = v*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-2)\/(-2)))\/(31\/124).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -3*m**2 - 10*m - 1. Let x be u(-3). Solve 0 = x*t + 2 + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vtsulltb. Give prob of sequence sutv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 106*z + 29*z - 58*z + 179*z + 162*z to p*z + a and give p.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 0.02973?\nAnswer: 0.47027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-14)*2\/(-4). Let a(k) = 4*k**2 - k - 1. Let r be a(-1). Suppose 2 = 2*g + 4*q, 2 - 1 = 3*g + r*q. Is g not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7985351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11257199303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 0  (b) -45\/3853  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 9*a - 529595. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -9 in increasing order.\nAnswer: -9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 > -257.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2682 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: Let y(v) = v**2 - 3*v - 7. Let z be y(5). Put z, -3, -1, 4 in descending order.\nAnswer: 4, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - -3)\/((-2)\/4). Suppose 6 = c*r + r. Suppose 1 = 3*g - 8. Solve -2*l + 3*k = -1, 0*l - k + r = -g*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4*(1*sqrt(80)*-3 + -2).\nAnswer: 9 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 12. Let l(n) = -304436*n**2. What is o(l(s))?\nAnswer: -92681278096*s**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 36*h - 6. Let t(l) = -74*l - 13 + 5 + 98*l + 4. What is 5*o(z) - 7*t(z)?\nAnswer: 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**2 - 85*g - 45. Let q be i(29). What is the greatest common divisor of 728 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1052 + 1103. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 4*g = -20. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -743 divided by -34602.\nAnswer: 743\/34602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4725 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3025600 rounded to the nearest ten thousand?\nAnswer: 3030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 7 = 71. Suppose -50*n + b = -46*n. Suppose 0 = n*c, z + 0*z + c - 493 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 594, -5, 3, 0.1, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4.7 and 38?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/928 and 49\/3113904.\nAnswer: 6227808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1009 * -2843.\nAnswer: 2868587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 5:42 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 161 - 94 = 0. Suppose s = -5*w + 6*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -60 and -16.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 20*h**2 + 13*h - 10. What is u(-21)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - h - h + (-h + 6*h - 4*h)*(-1 - 1 + 1) - 3*h + h + 0*h + (4*h - 6*h + 0*h)*(-2 + 4 - 1) - 4 + 4 + 2*h)*(-6 + 2 + 3) - 6*h - h + 0*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s + 4*t + 98 = 0, 21744*s - 4*t + 19 = 21747*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of 29*t**3\/6 - 7*t**2 + 79*t. What is the tens digit of j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 942131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45) - sqrt(225)\/(-1*sqrt(5))) + sqrt(4500) + 1*sqrt(4500))\/((sqrt(90)*-2*-1)\/sqrt(10)).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 37034940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4*o**2 + 4*o**3 + 22*o - 8*o + 1 - 13*o. Let j be r(-3). Sort -3, -2, j, 0 in decreasing order.\nAnswer: 0, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2848 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 2 in descending order.\nAnswer: 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*v = 96*v - 64794. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*t**2 - 186*t + 6203.\nAnswer: 8*t - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303012331 (base 4) to base 16.\nAnswer: 331bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 + (-2 - 3))\/(-1 - 0). Suppose 7308 = 2*j + 4*m + 2090, 2*m = v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1441)\/(-44) + (-33)\/44. Suppose 1 = -5*w + 11. What is the highest common divisor of w and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -427 times -11.01?\nAnswer: 4701.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.79 * -0.172\nAnswer: 0.30788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 124394.701003 and -4?\nAnswer: 124398.701003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -74, -1, -373979 in descending order.\nAnswer: -1, -74, -373979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-4)*d*d)**19 assuming d is positive.\nAnswer: d**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2435 + 251 = -4*d. Suppose -7*m + d = -84. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 - -42. Is t\/4 + 33\/(-22) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2921 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -7\/91499875?\nAnswer: -7\/91499875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1683)\/(-6)*(-4)\/(-6). What is the greatest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28728\/133*((-2)\/(-4))\/((-236)\/(-177)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5632 is divided by 5613?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2315*l**3 + 3*l + 4519*l**3 - 4*l**2 - 2299*l**3 wrt l?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -417585 + -7.77.\nAnswer: -417592.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 120691 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: Solve -3*o - 3*v - 9 = 0, 6*o = 8*o - 0*o - 4*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m + 2 - 2)*(-3 + 5 + 0)*(0*m + m**2 - 3*m**2 - m) as d*m**2 + s*m + j*m**3 + w and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4272246283?\nAnswer: 241, 17727163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyn when three letters picked without replacement from yyyynyygnnnygyyyyyn.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81, 139, 197, 255, 313?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 2, w: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -37. Put 4, s, 3 in ascending order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -54, -212, -476, -846, -1322, -1904?\n\"Answer: -53*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 6 = 2*p, -4*d + 2*d - 10 = 3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438 - 157 = 19*p - 232. What is the remainder when 3099 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/(-72) - (-14)\/12) + -1. Suppose 5*h - 134 = 3*o, 5*o + 40 = h - l*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489098.\nAnswer: 2, 19, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o + 20011 = -59449. List the prime factors of o.\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13584)\/(-1132))\/(4\/30)*(-6)\/9*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 - (-1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -661 - -385. Let x be 3\/2*f\/(-9). Suppose 4*r = 3*m + 42, -6*m + x = 3*r - m. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893985553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14578*m**4*u - 10*m*u**3 + 1086753*u**3 with respect to m.\nAnswer: 58312*m**3*u - 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000023988 to 7 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 140, -0.06, -4\/7, 5, 2, 40, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 18*r - 10. Let s be o(18). Let n(z) = -4*z + 16. Let y be n(s). What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 77302*a**3*r*s**2 + 169*a**3*s**2 - 4*a**2*r*s**2 + 5*a**2*r*s - 2*a**2*r + 3*a*r*s**2 + 37*a*r*s - a*s**2 - 2*s**2 wrt a?\nAnswer: 463812*r*s**2 + 1014*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/18*(-21)\/(-2). Suppose -2*a - 3*z = -0*a - 21, -f = a - 2*z. Is 26 + a - (0 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2688.8685 rounded to the nearest integer?\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9d4 (base 14) to base 10.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d - 2. Let h be n(5). Let g be (2 - 40\/14)*h. Solve -3*k = -g - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 500228*d**5 - 143*d - 1775 wrt d.\nAnswer: 10004560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**5\/40 + l**4\/6 + l**3\/12 - 3*l**2\/2 - 10*l. Suppose j(d) = 0. Calculate d.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ssusstussutsus.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/15*9\/((-54)\/(-15)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -128, -200, -1\/2, -1, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -211394.58 + -0.299\nAnswer: -211394.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.0676 + 0.29?\nAnswer: 51.3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13125 + -13125. Let b(y) be the first derivative of 0*y**2 + 0*y**3 - 7*y + s*y**4 - 11 + 13\/5*y**5. What is the first derivative of b(l) wrt l?\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13\/12  (b) 0.5  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -891 at least -892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.02396 rounded to two decimal places?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 40 - (-3 - -4 - 2). Suppose s = -8*g + 33. What is the third smallest value in g, -3, -0.1, -21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10188 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 6*c - 1. Let g be k(-6). Let q = 200 + -100. Let v = g + q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -978\/55 - -88\/5. Suppose -1 = n + 3. Sort y, 5, n in ascending order.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -3*o + 1 + 14, 3 = -3*b - 3*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l + 21 = 0. Suppose l*u = 3*u + 12. Solve -2*j = -3*d + 5 + 8, -4*j - 11 = -u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 310, 269, 192, 73, -94, -315, -596, -943?\n\"Answer: -j**3 - 12*j**2 + 2*j + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 + 5*p. Let h(t) = t**2 + 6*t. Let z = -47 - -41. Let j(r) = z*i(r) + 5*h(r). Let s(o) = -6*o**2. Determine j(s(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14584300.\nAnswer: 2, 5, 17, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 888831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 4, -0.5, 3, 15 in ascending order.\nAnswer: -24, -0.5, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.2 - -0.8. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -41 * -0.082743.\nAnswer: 3.392463","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222273 is divided by 199?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 5*q + 3*q)*(-1 + 8 + 0).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*h + 347 = 401. Solve -5*k + 13*w - 11*w = 2, -4*k = -h*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -4*w - 2*g + 452, -2*g = 4*w - 456. Suppose -w = 7*l - 2*l. Let i = l - -35. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 12:09 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) -1  (c) -2\/9  (d) -3  (e) 8\/13  (f) -1655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*4*(((5*sqrt(1700)*2*-5)**2 - (-6*((-2*sqrt(1700))**2 - sqrt(1700)) - (sqrt(1700) + (-1 + sqrt(1700))*-3 - sqrt(1700)))) + 5).\nAnswer: -85816160 + 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.57 in -199\/10, -1\/6, 36.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -28 - ((-8)\/(-2) - 2). Let g = -14 - j. Suppose 5*n + 3*h - g = -0*n, 5*n - 2*h = 31. Put -2, n, -1 in ascending order.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005541793 to five decimal places.\nAnswer: -0.00554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-42))\/(10\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 76983 (base 11) in base 4?\nAnswer: 123100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 214 - -b9?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-87)\/5 - (-6)\/15. Let i = b + 49. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -d - 11, -5*d + 38 = -4*u + 90 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -693*f + 2863. What is the units digit of n(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/15)\/(272\/85))\/1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 45 or 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/5 and 78\/470 - 12\/30.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24499863 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000110100101 (base 2) in base 8?\nAnswer: 10645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 200 = 5*i. Suppose 4*v = 3*l + 69, -4*v + 5*l + 17 = -i. Let z = v + -11. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2089 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 86100847447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13390*r**5 - 16 - 14020*r**5 + 270*r**3 + 1436*r**4 - 964*r**2 - 456*r**2 + 360*r = 0. Calculate r.\nAnswer: -1, 2\/35, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18.8 - -55.2. Let k = -73.9987 + h. Round k to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -465304*r**2*u**3 - 37098*r**2*u**2 - 2*r**2*u - 2*r**2 - r*u**2 - r wrt u.\nAnswer: -2791824*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 419.\nAnswer: 419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281939792 is divided by 1264304.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -629 = 7*z - 24*z. Let v(q) = q**3 - 38*q**2 + 36*q + 37. Let l be v(z). What is the closest to l in 0.07, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 123\/165 - (-6)\/(-30). Which is the second smallest value?  (a) j  (b) 1\/2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 194 + -414. Let l = n + 408. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34135412 (base 6) to base 15.\nAnswer: 157e38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 4  (b) 2  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**3\/2 + 27*k**2 - 3*k. Let b be s(-17). Solve 5*c = -u + 8 + 6, 3*u - 18 = -b*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 2:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + g - 15*g**2 + 21*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 - 4*j**2 + 3*j**2 + (5 - 3 - 3)*(-j**2 - 3 + 3) + (4 - 2 - 1)*(-3*j + 12*j**2 - 10*j**2 - 5*j**2).\nAnswer: -4*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 13*k**2 + 2*k + 11. Calculate z(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 3*n + n + (-3 + 1 + 1)*(n - n + 2*n) + n + 7 - 7)*(1 - 4 - 10).\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/5, 1, -25287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12424 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: Is 89151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 31793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25*j*n*s**3 - j*n*s**2 - 4*j*n*s + 2*j*n + 996*j*s**3 + 1198*j*s**2 + 2*n*s wrt s.\nAnswer: 150*j*n + 5976*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = 14*x + 3. Let d be ((-1)\/2*x)\/(6\/552). Let n = d - 42. Solve 2*j = -n*y + 2, -j + 0*y = -4*y - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -27*f**3 - f. Let y be l(1). Let z be y\/(-6) + (-2)\/3. Find s such that -s**3 - 2*s**4 - 3*s**3 + 0*s**z - 2*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = -8*p - 24. Suppose 0 = -7*o - 7 + p. Suppose 0 + o = 3*u. Which is greater: -2\/53 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (62\/(-341))\/((-23)\/((-4554)\/378)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1185171.\nAnswer: 3, 13, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5904 = -5*l, -l + 5888 = -3*v + 7*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -6 + (-4 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 - 150*k**2 - 485*k - 330.\nAnswer: 5*(k - 33)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25217.\nAnswer: 151, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4417571 + 5?\nAnswer: -4417564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.017195182 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8987, 38527, 68067, 97607, 127147, 156687?\n\"Answer: 29540*v - 20553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**3 + 3*o - 18*o**3 + o**3 - 3*o**2 + 13*o**3 + 4. Give q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**2 + 4*y**2 + 3*y**2)*(-3*y + 3*y - 3*y) + 1 - 1 - 2*y**3 + 2*y**2 + y**3 - 2*y**2 + 0*y**2 + 3*y**3 + 0*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/5)\/g)**23 assuming g is positive.\nAnswer: g**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/7)\/(4\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 452 + -451. What is the biggest value in 0.3, -0.1, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (114 - 150 + 116)*(-4 + 0 + 2 - 1 + 0 + 2 + (0 + 1 + 1)*(0 + 5 - 4) - 3 + 0 + 5 + 0 - 3 + 1 + 1 - 3 + 3 - 3 + 0 + 4 - 1 + 1 - 2)*(1 - 1 + p).\nAnswer: 80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ztosnony. Give prob of picking 1 t, 1 o, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 - -42. Solve -j + c*j + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2131.18 + 2114. Let k = 17 + y. Let r = 0.12 - k. Put r, -2, -2\/7 in increasing order.\nAnswer: -2, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59400 - -59418.0155. Let b = 18 - f. What is b rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1325 - -313. Is x a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 11\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -612 - -615. Factor -1\/2 - 3\/2*g**2 + 3\/2*g + 1\/2*g**i.\nAnswer: (g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14714150*b**2*d**2 - 447*b*d**2 + 434*b*d - 7*d**2 wrt b.\nAnswer: -29428300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45030 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: Suppose -2*k + 24*b = 19*b - 37, -2*b + 46 = 3*k. Suppose -4*r = -2*v + 3*v - 11, 3*v = -5*r + 12. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 1104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 - 3*g**2 + g**2)*(-88*g + 0 - 4 - 1)*(3 - 5 + 3) to p*g**2 + k*g + h + f*g**3 and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 668 = -2*z - 5*m, -2*m = -2*z - 664. Let g be 1\/(-2)*(z\/12)\/(-11). Which is the closest to -0.2?  (a) g  (b) 2\/11  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 301 and 38571?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5630000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p + 4879. Let w(t) = -2*t + 4879. What is 4*l(h) - 5*w(h)?\nAnswer: -2*h - 4879","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 11*a - 3. Calculate the common denominator of 54\/19 and ((-27)\/(-2))\/(-1 + 2\/a).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 417 + -435. Put q, 14, 2 in increasing order.\nAnswer: q, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 68024, 136049, 204074, 272099, 340124?\n\"Answer: 68025*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 11465, 11477, 11489, 11501, 11513, 11525?\n\"Answer: 12*f + 11453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 123*i**2 - 2*i - 2. Let n = 191 - 190. What is the tens digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091343757 a multiple of 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m + 2700 = 9*h + 11*m, -4*h + 1200 = -3*m. Calculate the remainder when 1214 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1395 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1404579 is divided by 937.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c - c + 4*c)*(-2 - 19*c + 3 + 1)*(2*c + 2*c - c) as m*c**2 + r + g*c + p*c**3 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 434427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 176.6 + -177. Let t = -113\/4 + 28. What is the biggest value in -3\/7, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 516 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 3*m - 3. Let g be w(-2). Let o = 7 + g. Is (-1)\/(-6) - (-179)\/o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35922262, 71844519, 107766770, 143689015?\nAnswer: 179611254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 697583190, 1395166380, 2092749570?\n\"Answer: 697583190*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 0. Suppose m*z = -3*c + 77, -3*z + 38 = -2*c - 7. What is the common denominator of z and -121\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v - 9. Let g(w) = w + 5. Let i be (-2)\/((-16)\/(-28))*-2. Determine i*g(j) + 4*h(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14108.1 + -0.5.\nAnswer: -14108.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*l**6)*l*l**(-2\/11)*l*l*l*l**(-5)*l**(4\/7) assuming l is positive.\nAnswer: l**(-509\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*i - 2 - 287*i - 384*i.\nAnswer: -602*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12468 + 12469. Which is the nearest to -4?  (a) -7  (b) 1\/10  (c) r  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 688 + -687. Put 1\/2, 0.01, 2, i in increasing order.\nAnswer: 0.01, 1\/2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + 0.1. What is the smallest value in -0.12, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 22. Let t(c) = -c + 21. Determine 2*d(h) - 3*t(h).\nAnswer: h - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 5*r - 65509 = 0, -16379 = -c + 5*r - 2*r. List the prime factors of c.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 75126 or 73504?\nAnswer: 73504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -10\/139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001147523519 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232290292 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -9, 3, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2318478156?\nAnswer: 2, 3, 17, 199, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) 2\/9  (c) -460.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f. Let u = -7 + 3. Let h(n) = -2*n + 6. Let s(j) = u*q(j) - h(j). List the prime factors of s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of n**5\/20 + 4*n**3\/3 + 3. Let g(d) be the third derivative of b(d). Let a(m) = -m. Give g(a(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29 and 79\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 890 divided by 5.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 281.3 - 296.3. Which is the closest to m?  (a) 0  (b) 2\/11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/25*(-188)\/(-141).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -3*z - 24, 357*z - 354*z - 2*v = -9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - 3. Let p(y) be the third derivative of -y**5\/60 - y**4\/12 + y**3\/6 - 70*y**2. Give p(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1862408 at least as big as -1862401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 0*b - b - 3*b + 2*b. Let p(c) be the second derivative of 17*c**4\/12 - 5*c. Determine t(p(w)).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xr when two letters picked without replacement from qqqrurqrxrqqqqq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/sqrt(108))**2 - (-1 + sqrt(19))*3.\nAnswer: -3*sqrt(19) + 127\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*v - 123*v - 84 = 0. Let x be ((-12)\/(-7))\/(v\/(-98)*4). What is the nearest to -1 in 4\/3, x, 0, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 121*t**3 - 582*t**2 - 117*t + 17. Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -260 + 258. Put -5, 1, d, 4 in decreasing order.\nAnswer: 4, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12617\/2 + -6290. Put 5, l, -0.5 in descending order.\nAnswer: l, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 48 - 46. Suppose 4*b - 3*b = 3*l - 28, r*b + 32 = 3*l. Which is smaller: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.0335, 0.4, 4, 5, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from lljrlrlvwqlllj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78*a**2*r**3 - 6*a**2*r - 3*a*r**5 - 2*r**2 - 3 wrt r.\nAnswer: -468*a**2 - 180*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**4\/7 + 120*m**3\/7 - 276*m**2\/7 - 9728*m\/7 - 17328\/7 = 0 for m.\nAnswer: -6, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5682 + 5686. Let b = 2 + -2.1. What is the nearest to b in -5, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 179 - (-74 + 183 + 21)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -34927?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1443, -1401, -1331, -1233, -1107, -953?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5383613.9873 + -5383865. Let q = -251 - v. Round q to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2789290632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35403 + -4567021\/129. What is the common denominator of 2 - 1 - (-83)\/(-33) and l?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 2:38 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7433, 7466, 7533, 7652, 7841, 8118, 8501?\n\"Answer: 3*u**3 - u**2 + 15*u + 7416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 85, -4 in decreasing order.\nAnswer: 85, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z**2 - 26565 - 8425 - z - 28413 + 8*z**2.\nAnswer: -z**2 - z - 63403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 15. Suppose -4*m = -3*i - b*i + 53, m + 23 = 2*i. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61 - 7654\/(-129))*(-3)\/2*40?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-328)\/(-28) - (-4)\/14. Let z = j - 4. Calculate the remainder when (-285)\/(-20) + (-2)\/8 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 397681?\nAnswer: 17, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + 2*c**3 + 5*c**2 - 3*c**2)*(3 - 4 + 0)*(2*c + 2*c - 5*c).\nAnswer: 3*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2345*p + 31943 = -120482 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 8*q - 4. Let h be a(-7). Solve -h*f - 10 - 15 = -4*u, 0 = u + f - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 1 - -7 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - (5 - (9 + -7))) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**3 - 39*d**2 - 27*d - 13. Determine c(20).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005943 plus 150?\nAnswer: 149.994057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21.6 - -21.7. Let x = 63 + -92. Is y at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -284 + 473. Let p(i) = 27*i**3 + i**2 - 2*i + 1. Let b be p(1). What is the greatest common divisor of v and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, y: 2, p: 1, i: 3}. What is prob of picking 1 p, 1 x, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 39 = -4*c + h, c - 4*h - 21 = 0. Solve -5*o + 4 = c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13025, -104972, -354661, -840962, -1642745, -2838880, -4508237, -6729686?\n\"Answer: -13145*g**3 - g**2 + 71*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 1 - (-18 + 24 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -5, 0.1, -4, -7\/10 in descending order.\nAnswer: 0.1, -0.2, -7\/10, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 28. Suppose -3*z - 2*f = -99, 4*f = s*z - 39 - 78. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k - 112 = -17*k. Calculate the remainder when 207 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 10:12 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3487755833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -68 - -155. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4070 is divided by 1791.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 23, 4, -4, 3.\nAnswer: -5, -4, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123452880 divided by -4115096.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*g - 55*g + 5*a + 2 = 10*a, 3 - 6 = -3*a - 0*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 + 46 = 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24446 - 24833. Are -404 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 113\/5  (b) 0.5  (c) 1  (d) -5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2671 is divided by 2661?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (673 + 41*d + 139 - 39*d)*(-1 + 2 - 3) as f*d + n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + j + 9 = -2*f, 0 = -4*f - j - 1. Let b(y) be the first derivative of 9*y**2\/2 + 3*y + 1. Let p be b(f). Solve -5*g - 3 = p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**3 - 339*l**2 - 30195*l - 245025 = 0 for l.\nAnswer: -165, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*f + 120 = -7*l + 2*l, -14*l + 9*l - 5*f = -10*f + 60 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -344*c + 10695 = 369*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -532 - -531.99999534. What is s rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 545020 and 7657531.\nAnswer: 153150620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j - 5 + 5)*(10 + 8 - 8)*(7*j**3 + 0*j**3 - 3*j**3) in the form o*j**4 + n + t*j**2 + h*j + p*j**3 and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 807 = 27*q, 119*o = 57*o + 58*o + 4*q + 124 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/56 and 93\/3332.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-52*(-12)\/(-56))\/((-7209)\/(-33642))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fz when two letters picked without replacement from zfzupmz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**2 - 4 - 5*v**3 + 2*v - v**2 + 10 - 3*v**2. Let l(d) = -14*d**3 - 6*d**2 + 6*d + 17. Let o be 1 + 1*1\/((-1)\/(-16)). What is o*r(s) - 6*l(s)?\nAnswer: -s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -6*x**3 - 7*x**2 - 18*x + 11. Calculate the lowest common multiple of 60 and t(-4).\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 - 128\/3. Let n = 0.0567 - -1.9433. What is the fourth biggest value in 1\/5, n, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i. Let v(a) = 6*a**2 + 22653*a. Determine d(v(s)).\nAnswer: 30*s**2 + 113265*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*d**2 + 4*d**4 + 8*d**2 + (-2*d**2 - d**2 + 4*d**2)*(-3*d**2 + d**2 + 4*d**2) - d**4 + 14*d**4 + d**4)*(2*d + 2 - 6*d + 3*d).\nAnswer: -20*d**5 + 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -54035389\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -5. What is the remainder when 29 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4682.\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*y + 318 = -30*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.3 + 18280.\nAnswer: 18286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000546756 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 5*i - 2*n, -3*n = 18*i - 19*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 117*t - 160. Let k(u) = 78*u - 115. Let s(v) = 7*k(v) - 5*y(v). Let z(f) = 20*f + 3. Give -3*s(d) - 5*z(d).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9\/(-3) - -1) + -250. What is the tens digit of ((-140)\/3)\/((c\/81)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 812012.2kg to milligrams.\nAnswer: 812012200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -618*n + 42. Is 12 a factor of y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31475)\/7554 - (4 - 922\/(-12))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -10*w**2 - 84*w + 3775. What is q(-24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 14*v**2 + 16*v + 2. Let y be m(13). Suppose 3*p = q - 0*q - y, 4*p + 124 = 4*q. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4580.8 - -4581.2. What is the second biggest value in 1\/4, 3, s, -2\/15, -2\/37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10790031*y**5 + 11670*y - 179 wrt y.\nAnswer: -215800620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 22767 = -46113. What is the highest common divisor of c and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*b + 14 = -66*b. Let i(k) = -6 + 9 - 3*k - b*k + 11 + 0*k. Calculate i(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 7, p: 7}. Give prob of picking 4 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -390044 or 0.2?\nAnswer: -390044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14040*y**2 + 4692*y - 4.\nAnswer: -4*(3*y - 1)*(1170*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48331 + -7152945\/148. What is the common denominator of p and 97\/10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2816?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 476\/(-7)*6\/8. Let c = n + 106. Suppose 3*k - c = -19. Calculate the greatest common factor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*j - 835 + 835 - 1 + 1 + 2*j + (3*j - 4 + 4)*(-2 + 0 + 0) - 2*j + 1 - 1)*(2*j**2 + 2*j**3 - 2*j**2).\nAnswer: 38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152260*u = -152220*u + 80 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + o**2 - 3*o + 3. Let l be f(0). Solve -5*a = -15, -a - 3*a = -l*v - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.417 + -0.914. Let g = 0.127 + b. Round g to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -8. Let x be 2 + 5 + 15\/(-5). Solve -x*g - 28 = -f*o, -6 = -o - o - 2*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, o: 1, p: 2, a: 1}. What is prob of sequence mspo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggffggfgfgfgf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2 = -x, 3*z + 1 = -2*x - 8. Suppose -n + 5 = x, 125 = m - 3*n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 13*u + 10. Let f be l(-14). Let x be (f\/54)\/(6\/(-36)). Determine r so that 2\/9 + 2\/9*r**2 - x*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/12 - -1 - 56\/(-84)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 8*l**2 - 4*l + 3. Calculate u(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055369 at most 1055369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -10100111001010001101000?\nAnswer: 10100111001010001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176552, -176545, -176534, -176519, -176500?\nAnswer: -176477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 254, 2902, 10512, 25700, 51082?\nAnswer: 89274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 14*v**2 + 9*v + 17. Let y be p(13). Let j = -41 - y. Let c(i) = -44*i - 13. Is c(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 6*v + 14, 17*v + 4 = l + 15*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 0*p - 13*p**2 - 19*p**2 - 56 + 34*p**2 + 4*p. Calculate q(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17170, -17155, -17140, -17125, -17110, -17095?\n\"Answer: 15*o - 17185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from faan. What is prob of sequence faa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2173 - 2152. Which is the third smallest value?  (a) 0.3  (b) 4\/9  (c) n  (d) -0.2  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2957037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 66549976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 711 - 707. Suppose 3\/2*y**3 + 1 - 3\/2*y - 1\/2*y**m - 1\/2*y**2 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -b**7\/6 - 7*b**3\/6 - 8*b - 3. Let r(w) be the first derivative of q(w). Find the second derivative of r(o) wrt o.\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1199 + 1211. Let s(n) = -n**3 + 12*n**2 + n + 4. What is s(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 14*f**2 + f - 12. Let v be d(14). Solve -v*t + 10 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = 4*s, -8*g - 3*s + 15 = -3*g. Suppose -p - 12 = -q, -g*p + 2*q = -2*p + 8. Let l = 27 + p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -305, -341, -417, -545, -737, -1005, -1361?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 298673093 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 8:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20 + 0 - 1)*(-47*m + 14*m**3 + 47*m) as z + n*m**3 + x*m + f*m**2 and give n.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.19952, -30, -0.2 in decreasing order.\nAnswer: 0.19952, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 14. Suppose z*g = 21*g - 1560. Suppose -4*x = 3*i + 75 - g, 4*x - i - 241 = 0. What is the highest common divisor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -d + 9320, -49*d + 44*d + 4*r + 46618 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 429 and 1014?\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1226 (base 7) in base 3?\nAnswer: -122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**5\/60 + q**4\/4 + 2*q**3\/3 + 15*q**2. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -1078  (c) 5  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -37  (c) 730\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 2*t - 4 - 6 + (-12*t + 7*t + 4*t)*(-3 + 0 + 5) as p + c*t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 441613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + m + 5 + (0 - 2*m + 0)*(-4 + 3 + 3) + 1475*m + 844*m - 503*m + (-3*m + 1 - 1)*(2 - 2 - 1) to the form f*m + i and give f.\nAnswer: 1816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**5\/6 + 1345*w**4\/2 - 4056151*w**3\/6 - 9524969*w**2\/2 - 8193134*w\/3 + 8168882 = 0.\nAnswer: -6, -2, 1, 2021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28 - -26. Let m be (r + 2)*(-2 - 5\/(-2)). Suppose 2*v - 1 = -5. Sort m, 2, v in descending order.\nAnswer: 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**3 + j**3 - j**3)*(-9 - 2233*j**2 + 9 - 1773*j**2 + 1124*j**2).\nAnswer: -5764*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.073733*-8.\nAnswer: 0.589864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1083596*z**3 + 6*z**2 + 30755?\nAnswer: 6501576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7999?\nAnswer: 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 3\/8, 326, 0.088?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 15*a**3 + 9*a**2 - 55*a + 6. Determine k(-4).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -9718640 to the nearest 100000.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3710a7 (base 11) to base 15.\nAnswer: -b8e43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130332331231 + 20?\nAnswer: 130332331311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -6*g**2 + 15*g + 5. Let j(z) = -3*z**2 + 7*z + 2. Let o(y) = -7*j(y) + 3*k(y). Let i = 2 + -5. Does 12 divide o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13693.9426 + 24293.5263. Let a = 10615.2837131 - o. Let z = 15.7 - a. What is z rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, i: 4, r: 3, o: 1, m: 2, d: 1}. Give prob of sequence wodi.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of 5*h**4\/4 - 20*h**3\/3 + 25*h**2\/2 - 10*h - 81. Factor c(z).\nAnswer: 5*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55\/20 + -3 + (-3)\/((-36)\/(-69))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -535, 2, -228, -1 in ascending order.\nAnswer: -535, -228, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + (-1443)\/65 + 58\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6086047 is divided by 46?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76110228?\nAnswer: 2, 3, 251, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 2*s**2 - 2*s - 1. Let i be c(2). Let n = 18 - i. Let h(k) = -k**3 + 8*k**2 - 7*k + 2. List the prime factors of h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -3*k + 2*k + 377, -2*k = -5*c + 371. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r - 112. Let h be y(27). Does 19 divide ((-704)\/(-40))\/11*(-410)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 8*q + 4*q**2 + 6*q - 25*q + 5*q. What is the units digit of t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 949 = 5*b. Let u(a) = 55*a**2 + 15*a**2 - b*a**2. Let i(g) = 45*g**2. Give i(u(r)).\nAnswer: 405*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (2 - (11 - 12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 106.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 42  (b) 1.5  (c) 66\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**5\/4 + 5825*p**4\/4 + 17481*p**3\/4 + 17483*p**2\/4 + 1457*p.\nAnswer: -p*(p - 5828)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {t: 2, x: 1, u: 2, j: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 844\/7, 12, 2\/9, -1, -1\/2.\nAnswer: -1, -1\/2, 2\/9, 3, 12, 844\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -1, 50*b + 124 = 4*x + 46*b. Solve 13*u + 9 = -x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -8\/17411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36900161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 469324141 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15.7 * 728793.\nAnswer: -11442050.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1006*i**3 - 893*i**2 - 2400*i**3 + 1470*i**3 - 2121*i**3 wrt i.\nAnswer: -24342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202211212 - -10112?\nAnswer: 202222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2593?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-19))\/(((k*k**(-14))\/k)\/k)*k**(1\/2)\/(k**2*k) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4931075 and -35443268.\nAnswer: -40374343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.31 - 20.4. Let w = 4.09923 + n. Let q = w + -0.0115. Round q to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 54681, 54783, 54883, 54981, 55077, 55171, 55263?\n\"Answer: -k**2 + 105*k + 54577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**5\/60 + 5*l**4\/12 - 3*l**3\/2 - 19*l**2 + 45*l. Let s(i) be the first derivative of b(i). Determine s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (24\/12)\/(-2 - -3). What is the closest to 2\/11 in c, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*t = -93*t - 153 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 33 - 36 = 0. Let t = -1993 - -1823. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2941 - 2940 + 5881 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from kkpuuujupujjjpppjbp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*s - 4*v - 9388, 5*s - 2*v = 46922. Is s a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15933 is divided by 249.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, w: 1, b: 6}. What is prob of sequence bc?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 4*t**2 + 53*t - 145. What is the tens digit of d(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7790272 centuries in years?\nAnswer: 77.90272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - b + 1. Let z(g) = -9. Let m(s) = 3. Let y(a) = 7*m(a) + 2*z(a). Let o(k) = -2*v(k) + y(k). Let n = 456 - 458. Calculate o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -21, -70, -135, -216?\n\"Answer: -8*r**2 - 25*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -212220 (base 3) in base 15?\nAnswer: -2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-8)\/(j\/(j*j**(-5\/4)\/j)) assuming j is positive.\nAnswer: j**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 16*w - 2. Let v(x) be the first derivative of -x**3\/3 + 7*x**2\/2 + x + 1. Let p be v(7). What are the prime factors of h(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 11*j**3 - 2*j + 1. Suppose 4*f = -5*i + 4, f = 3*f + 5*i - 2. Is n(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -57*l**7\/7 + 575*l**3\/3 + 837. Find the third derivative of s(r) wrt r.\nAnswer: -6840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, k: 5, p: 2, l: 1, d: 4, t: 2}. Give prob of sequence dk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -2.4. Let g = n - -1. Let j(h) = -h + 1. Let l be j(6). Which is the closest to 0?  (a) g  (b) -0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-18)\/21)\/((-160)\/56))\/((-18)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of n**7\/105 + n**4\/6 - n**2 - 5*n. Let r(u) be the first derivative of a(u). What is the second derivative of r(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 708919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4 + ((3 + sqrt(1008)*1 - -1*sqrt(1008)*5) + 2 + 5)*1))**2.\nAnswer: 3456*sqrt(7) + 145296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33155835?\nAnswer: 3, 5, 2210389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/415 and -119\/6.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 69 + -70 - (19159 - -5). Is -19165 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 166642 and 2184?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**4\/24 + m**2. Let f be g(-10). Suppose o + 5*c = 6, -o = c + 2*c - f. Calculate the remainder when 61 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -53*q - 259. Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sgbgsbsdgb. What is prob of picking 1 g and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 601447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-43)\/(6\/((-126)\/7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -2) + 3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/12597 and 58\/1989.\nAnswer: 37791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/60)\/(5\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 41  (b) 2  (c) 281  (d) -2  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, j: 1, a: 6}. What is prob of picking 1 d and 1 a?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 10 - 13 + 2*n - 3.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1525a + -96?\nAnswer: 15174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/30)\/((-22)\/(-220)*88).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -6*n + 83. Let b(z) = -7*z + 84. Determine 5*b(o) - 6*q(o).\nAnswer: o - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q = -438 - 82. What is the highest common divisor of q and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1128073, -3, 2, -2, 4 in descending order.\nAnswer: 4, 2, -2, -3, -1128073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1923, -1949, -1955, -1935, -1883, -1793?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 9, t: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.9 + -0.1. Let q = 11.8 - 10. Let h = x + q. Sort -2, h, -1\/9 in decreasing order.\nAnswer: -1\/9, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7 and -1039068?\nAnswer: -727347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 1125*p**2 + 24732*p - 343. Give k(-22).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 119674397 rounded to the nearest one million?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 314883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686 is divided by 82.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -7*l**2 - 65*l - 76. Does 15 divide k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -12*k. Let g(v) = 4*v + 67. What is g(j(h))?\nAnswer: -48*h + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 15*b - 42. Let x(t) = t - 2. Let f(d) = -2*m(d) + 18*x(d). Is 27 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 17775 and -329.\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, 4, 1, 1\/4, -1131?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 9:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l - 1, 0 = 5*g - 2*l - 76. Let h = -11 + g. What is the third derivative of 8*s**3 - 3*s**h - 148*s**2 + 145*s**2 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + -22 + -12 + 13 + 1 + 60?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 13*j - 1. Let r be t(-13). Let o = 3 + r. Solve -4*b = 3*i + o + 7, i - 4 = b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106941780 is divided by 2918?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3925 + 3925.08. What is the nearest to 4 in 1\/2, 0.02, 3\/5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 48\/(-42) + 1768\/1400. Which is the closest to -1?  (a) 3  (b) -3  (c) 4  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 - 984*k - 986.\nAnswer: 2*(k - 493)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7921635860 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 7*w + 6. Let d be v(-6). Let m be (-13 - -10) + d + 1. Calculate the smallest common multiple of m\/8 + (-75)\/(-12) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1554668 is divided by 11689?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q = 18*q + 2*t - 111438, -5*q - 3*t + 111447 = 0. What is the smallest common multiple of q and 2?\nAnswer: 22284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (19\/3)\/((-650)\/75)*(0 + 14)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 1, 3\/80 in increasing order.\nAnswer: 3\/80, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 24*w. Let g(f) be the third derivative of -f**7\/5040 + f**5\/20 - 4*f**3\/3 + 2*f**2 + 6*f. Let y(k) be the third derivative of g(k). Give v(y(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -u - 12591 + 12620, 26*c = -7*u + 158 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((0 - -2) + -2)\/(-3). Suppose -3*g = -x*g. Suppose g*a + 2*a - b - 58 = 0, 4*a = 4*b + 112. What is the highest common factor of 45 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times -0.019?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 34860 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 116 - 12?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 70 = 22. Let i = o + 31. What is j in 4*j + 14*j**3 + 6*j**3 + 0*j**3 + 4 - i*j**2 = 0?\nAnswer: -1\/4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -3231195.\nAnswer: -16\/3231195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 15066?\nAnswer: -15066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -18*z**2. Let v = 2723 + -1607. Let h(p) = -2207*p + 1102*p + v*p. What is h(l(c))?\nAnswer: -198*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 - 294*b - 91. Let v(u) = -3*u**2 + 463*u + 138. Let t(m) = 8*p(m) + 5*v(m). Let t(c) = 0. Calculate c.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 259680 divided by 800\nAnswer: 1623\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + i**2 - i + 44. Give j(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238*f + 3 + 396*f - 6 + 3.\nAnswer: 158*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5*((0 - 2) + 73). Let m = t + -246. Suppose 13 = j - m. Calculate the remainder when j is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a - 60 = 0. Let d = a + 32. What is the lowest common multiple of 10 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of m**6\/3 + 4*m**3\/3 + 6. Find the third derivative of t(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14.82 and 1840?\nAnswer: 27268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 11*j**2 - 16*j**2 - 13*j**2. Let z be t(-1). List the prime factors of (z\/(-2))\/(3\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -2*c + 56. Let g = c - 15. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 103237377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 29)*-2 + 1. Let y = o - -111. Suppose -u - 34 = -4*v + 23, -y = -3*v + 3*u. Solve v = 3*p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1065, 2288, 3511, 4734?\n\"Answer: 1223*g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 5*l**2 + 3*l - 2. Let w be c(-4). Let f = w - 2. Let n = 2 + f. Calculate the highest common divisor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqijisejqjqqqib. What is prob of sequence jeb?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -453286.9 to the nearest 1000.\nAnswer: -453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 286080 divided by 1192\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 43.7  (b) -4  (c) 2  (d) 2\/11  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (6 - 1) - (18 + -27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + -25. Let x(w) = -4*w**2 - 8*w**2 + 13*w - 123 - w**3 + 136. Is x(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8170, -8371, -8572, -8773, -8974?\nAnswer: -9175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 0*u - 2*u - 2*u. Let b be o(4). Suppose -q + 0*q + 48 = b. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (69*i - 1037 + 1037)*(1 - 2 + 4).\nAnswer: 207*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2617559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*s**2 + 578*s + 574*s - 1152*s.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2)*b)**22)**(-3\/7))**13 assuming b is positive.\nAnswer: b**(858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -33 - (54 + (-42 - 46))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -227*v**4 - 2*v**3 + 15*v**2. Let c be l(6). Round c to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -67 + 57. Let a(x) = -x**3 + 5*x**2 - 4*x + 2. Let l be a(5). Let v = q - l. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 6471?\nAnswer: -6470.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -9, -4\/7, 1\/6, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -17. Suppose 6*n - 7*n + w*p = -20, -4*p = 16. Let i = 0 - 0. Solve i = 4*u - 0 + n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (j**3 - 3*j**3 + j**3 - 3*j**3)*(-20 - 6 - 11) as g + l*j**2 + r*j + t*j**3 and give t.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.875109777 and 4.\nAnswer: 3.124890223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/3)\/(2\/(-6)). Let w be -68 + 1 - (1 - 2). Is (w\/n)\/((-1)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/(-3))\/((-4)\/(-6)). Let r be (2 + -1)*(-1 - -4). Suppose r = a - 0. Solve -z*y + 5*v - 7 = 4, -13 = a*y + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**5 - 6*w**3 - 69*w**2 - 3 wrt w?\nAnswer: 60*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2015 + 3194?\nAnswer: 5209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = -8 - 16. Let r(t) = -2*t + 35. Let y be r(17). Let f = 7 - 2. Sort y, h, f in descending order.\nAnswer: f, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*s**2 + 1 - 10*s**4 - 108*s**2 + 156*s**2 to the form t + z*s**2 + g*s**4 + b*s**3 + o*s and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4368\/(-572))\/21*-1*2\/(-28).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 4*c = 10, c - 2 = 3*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1806492 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2 = -a. Let k = 132 - a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1807051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 21 - 3. Let h(l) = 11*l - 1. Let f(j) = -2*j. Let c(q) = -34*f(q) - 6*h(q). Give c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, 102, -0.4?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*r + 7*r - 2*r + 5*r to the form w + g*r and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 477729?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -0.4  (b) 0.003  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**5 - 107*b**3\/3 - 96*b**2 + 678. Find the second derivative of q(o) wrt o.\nAnswer: 60*o**2 - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.704236 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 8:08 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2\/5 - 12*p\/5.\nAnswer: 4*p*(p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, n: 2, v: 7}. Give prob of sequence mv.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*h - 63, -2*h = 5*g - 2*g - 42. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -262875 * 6.\nAnswer: -1577250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*u = 64, 6*h + u = 3*h - 43. Let c = -5 - h. Solve 3*n - 20 = c*n + 5*g, 0 = n - 4*g - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3066 - 63 = 77*n. Calculate the remainder when 116 is divided by n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 4:04 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (247\/(-1)*1)\/(51\/(-51)). Let d = c + 14. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2310 - 5?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -101*p**2*s**3 - p**2 - 42*p*s**3 + 18*p wrt s.\nAnswer: -303*p**2*s**2 - 126*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 526d - 4a3?\nAnswer: 4cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -0.1  (b) 2  (c) -1\/5  (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-2) - (-600)\/336.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1260 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3\/5  (b) -2\/15  (c) -0.5  (d) 2.34  (e) 211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o**4\/2 + 29912*o**3 + 247666*o**2 + 546448*o + 136608 = 0. Calculate o.\nAnswer: -8538, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2134 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1, 78 in decreasing order.\nAnswer: 78, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.026  (b) 2  (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 69*z + 688. Let g be t(-10). Sort 3, 3\/2, g, 4, 0.1 in ascending order.\nAnswer: g, 0.1, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.5  (b) 5  (c) 5\/4  (d) 1453  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 5. Suppose n*w - 4*w = -5*l - 25, l = -1. Suppose -55 = -3*f - 5*j + j, w*f = 4*j + 81. Calculate the remainder when 33 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 105 and 28494?\nAnswer: 997290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -20*u**3 - 2*u**2 - u + 4. Determine q(2).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3553 < -3554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbfj when four letters picked without replacement from pfpfbbfpffffbfjpjbf.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 19*t**2 - 154*t + 456. Let i be a(3). What is the highest common divisor of i and 10461?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (-8 - -3 - 2) - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111011110001011010111011000 - -101?\nAnswer: -111011110001011010111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0777 + -13623626.\nAnswer: -13623626.0777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -26*l + 121. What is the tens digit of s(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -5894209?\nAnswer: -5894186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1975000 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -543*b**2 - 2987*b**2 - 5916*b**2 + 498*b**2 in the form j*b + w + h*b**2 and give h.\nAnswer: -8948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v - 6. Let x(q) = -q - 8. Let f be x(0). Let h be p(f). Is (10\/2)\/(2\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*m - 0*x + 2*x, -18 = -2*m - 2*x. Suppose -5*g - 20 = -3*v - 0, -m*g = -8. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*h + h - 2*z, -2*z - 5 = 3*h. Suppose -5*w + 40 = 5*m, -5*w - h = -7*w + 3*m. Is w > 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -107*o**4 + 2*o**3 + 15*o**2 + 12*o - 380184?\nAnswer: -428*o**3 + 6*o**2 + 30*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 12:04 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 718*g + 881*g - 209*g - g**4 + (-3 + 0 + 2)*(g**4 - 4*g**4 + 5*g**4) - g**4 - 3*g**2 + 3*g**2.\nAnswer: -4*g**4 + 1390*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 10:53 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 977949067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 0.10924.\nAnswer: 0.5462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/13 + 293573952*y\/13 + 10773208161612288\/13.\nAnswer: 2*(y + 73393488)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 240*r - 240*r - 8*r**3 + 6 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*5\/(-5)*-3 - -2. Calculate the greatest common divisor of 50 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (465\/(-10))\/(269\/538)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.5 and -6594?\nAnswer: 6593.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - 56?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14)\/6 + (-24)\/(-18). Let p = 0.24 + -0.2. What is the closest to p in 3, m, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 2365 - 2785 = -8*s + 3*s for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-108)*4*((-222)\/33 + 4)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 12*d**5 - 8*d**4 + 22*d**3 - 18*d**2 + 12*d + 10. Let c(w) = -w**5 - w**3 + w**2 - w - 1. Let l(x) = 20*c(x) + 2*s(x). Factor l(n).\nAnswer: 4*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 350 - 10. Suppose -18*v = -14*v + z. Let i = 113 + v. What is the greatest common divisor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 208\/(-520)*(6\/4 + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4180, -4182, -4184?\nAnswer: -4186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 10*i - 5. Suppose 0 = -3*k - 3*k - 48. Determine q(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 + 341\/4. Find h, given that x*h**2 + 1 + h = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -4)*(-3)\/(-2). Suppose -l*i + i + 28 = 0. Solve 5*c - 2*a - i = -a, -4*c - 3*a - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7468 = u + 4*h, 3*h - 8770 - 21024 = -4*u. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1586 - 803. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*w**2 + 42*w - 96 = 0. Calculate w.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 7*s**2. Let w(c) = 17*c**2 - 7*c + 46. Calculate w(d(l)).\nAnswer: 833*l**4 - 49*l**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n + 3*n - 3708 + 3714 - 3*n + 2*n + 4*n + (3*n + 4*n - 6*n)*(-1 + 0 + 3) to the form y + w*n and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30, 88, 188, 354, 610, 980, 1488?\n\"Answer: 4*z**3 - 3*z**2 + 39*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -8624?\nAnswer: -8624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -5 + 18 + 2 + -7 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 21*d = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 590337182.\nAnswer: 2, 19, 23, 509, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 81406 divided by 81406?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 7*r - 2. Let q be g(8). Let x(v) = v**3 - v. Let u(b) = 8*b**3 - 6*b. Let d be (6 - 4) + 9\/(-3). Calculate d*u(z) + q*x(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 855134.333 + -0.16016?\nAnswer: 855134.17284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 10\/13  (b) 2151  (c) -3  (d) 38  (e) 30  (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 1 - 11. What is the remainder when 64 is divided by (r\/10*-11)\/(2\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.285 + -1.4. Let i = 0.015 + w. Which is the smallest value?  (a) 0.02  (b) 0.6  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -1 - 3) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18840031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 2*b**2 + 9*b. Let c be f(0). Sort 2, 3, c, -19.\nAnswer: -19, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**3 + 3*u**3 - 2*u**3)*(-u**2 - 6*u**2 + 3*u**2) + u**4 - u**4 + 2*u**5 + (-2*u**2 + u**3 + 2*u**2)*(-6*u**2 + 4*u**2 + 3*u**2).\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108 and 23337675.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9900, -19834, -29768, -39702, -49636, -59570?\nAnswer: -69504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13189490 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2346.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -5*k - 3*n - 1, 2*n - 25 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3*(3 + (-3*(sqrt(18) - sqrt(2)) - sqrt(2))*1))**2*-2.\nAnswer: -1928 + 756*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -22 - 5. Suppose 0 = 6*n - 3*n - k. What is the tens digit of 14 + 0\/(n\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2\/5 + 192*l\/5.\nAnswer: -3*l*(l - 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**5\/60 - l**4\/24 + 2*l**2 + 2*l. Let u(a) be the first derivative of q(a). Factor u(p).\nAnswer: p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 50510 and 13.\nAnswer: 656630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 10, p: 5, t: 3, d: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1512*j*u**3*v**2 + j*u**3*v + 4597*j*v**2 wrt u.\nAnswer: -4536*j*u**2*v**2 + 3*j*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.57?  (a) -2\/3  (b) -3\/2  (c) -5  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(1\/11))\/(y\/y**(-10\/9))*((y**(8\/7)\/y)\/y)\/(y*y*y**(-7\/3)*y) assuming y is positive.\nAnswer: y**(-1889\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -33*y**2. Let g(l) = -33*l**2. Let q(v) = -5*g(v) + 6*p(v). Let b be q(4). Is b\/(-10) + 5\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -26609*a. Let r(k) = -k**2 - 6648. Give t(r(h)).\nAnswer: 26609*h**2 + 176896632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -5584, -2\/43, 4, -4, 0.148?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8177)\/(-153))\/(-13) - (-16)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/20 - 3\/(-2). Which is the smallest value?  (a) g  (b) -5  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26921, 27073, 27469, 28229, 29473, 31321, 33893, 37309?\nAnswer: 41689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**2)\/q)**(12\/11)\/(q**3)**(-49) assuming q is positive.\nAnswer: q**(1593\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14224?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 23241124 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 94.5 * 266.\nAnswer: 25137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0281 - 0.0996. What is h rounded to 3 dps?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 453  (c) -1\/8  (d) -4\/5  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 24*t + 37. Let m be s(-20). Let u = m + 45. Find the third derivative of -l**4 - l - 53*l**2 + 57*l**u + 29*l**5 + l**4 wrt l.\nAnswer: 1740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -4 - 2. Let s(j) = -73*j + 36*j + j**3 + 80 - j**h + 38*j. What is the units digit of s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/7*49*(-30)\/3570\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of 7*j**4\/12 + j**3\/3 - 24*j**2. What is y(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 + -100 - (-20 - -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15 or -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 5*i + 3*i**2 + 17 - 3 - 2*i**2 as a + p*i + t*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t - 6. Let z(q) = 5*q - 8. Let s(d) = 3*g(d) - 2*z(d). Determine s(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-468)\/(-8970)*-46)\/(((-8)\/(-15))\/4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -6950 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*u = 480, -3*a - 167 = -4*u - 904. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.3, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 110255857 to the nearest integer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8892702 millennia to centuries.\nAnswer: 8.892702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*v - 5. Let y = -2 + v. Suppose 24 = y*h - f, 3*h - 2*f = -2*h + 58. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**2*d**2*p - b**2*d*p**3 - 29*b**2*p - 4*b*p - 2*d**2*p**2 - 3*p**3 wrt b.\nAnswer: 6*d**2*p - 2*d*p**3 - 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1274895?\nAnswer: 3, 5, 41, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9030 by -35.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttvvpptwtttvwvvtv. Give prob of picking 1 w and 1 t.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6633 = 55*j - 66*j. What is the greatest common factor of 670 and j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(4\/(-47))*1. Suppose -4*i = -5*c + w, -2*i = 3*i - 5*c + 55. Let f be (i\/(-5))\/((-38)\/(-285)). Solve -28 + f = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from cpxxxxcpcppp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 89 + 151 = -13*f, s + 4*f - 2*f = -34 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**4*z + 2*o**4 - 18*o**3*z + 2*o*z - 472*o wrt o?\nAnswer: -12*o**2*z + 24*o**2 - 108*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.043 - -0.006. Let w = -13.237 + 13.3. Let s = q - w. Put 3, -1\/9, s in decreasing order.\nAnswer: 3, s, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 54 + 6. Calculate the remainder when (56 + 0 + 2)*1 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84\/(-30)*(-95)\/133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 306123 (base 8) to base 12.\nAnswer: 4a86b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2505.00096 + 2508. Let a = b + -3. Round a to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-100)*1776\/(-36))\/((-424)\/265).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 105129\/32 - 3287. Calculate the common denominator of j and -49\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - (-1)\/(-1) - 0. Suppose -2*r - 7 = -3*h + 3*r, 5*h + 1 = w*r. Find the common denominator of 36\/5 and (h\/(-87))\/((-11)\/(-165)).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -78, -306, -686, -1218, -1902?\n\"Answer: -76*z**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.25578 in 5\/2, 0, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 563 a factor of 429569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 50 (base 8) to base 7\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*u**4 - 5*u**3 - 10*u**2 + 24155*u?\nAnswer: -84*u**2 - 30*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 69, -5, 6, 1, 5.\nAnswer: -5, 1, 5, 6, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*i**3 + 5*i**3 + 780*i**2 + 1 + 790*i**2 + 44*i - 2*i**4 - 1570*i**2 in the form p*i**4 + z + l*i**2 + j*i + m*i**3 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 202 = -7*y + 3*z, 0 = 3*y - 3*z - 126. Sort -4\/9, -2, y.\nAnswer: -2, -4\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218157?\nAnswer: 3, 72719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1924, -2093, -2268, -2449, -2636, -2829, -3028?\n\"Answer: -3*p**2 - 160*p - 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 divided by 3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -40 + 37. Let p = -7 - 1. Put s, p, -3\/2 in ascending order.\nAnswer: p, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + 13. Suppose 5*z - 2 = w. Let k(h) = -h**2 + 1. Let v(m) = 7*m**2 - 5*m - 12. Let o(g) = 6*k(g) + v(g). Give o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2219 - -167. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 136134554?\nAnswer: -136134555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - t - 9. Let w be d(4). Let o(q) = 11*q - w*q - 7*q. Let l(c) = 8*c - 6. Let x(b) = l(b) - 10*o(b). Calculate x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 949 and 4307.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 585255 is divided by 777?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 5*m + 30 = 0, -3*m - 2*m + 25 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 84090605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -25. Suppose 6 = 2*w + r. Let f = 53 - 52.6. Sort 1, w, f in descending order.\nAnswer: 1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6444 and 28764?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 51092860 divided by -152516\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -118700000 rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 2. Let s = x - 1.4. Which is the nearest to 1?  (a) 2  (b) 0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - ((-45)\/(-18))\/((-2)\/4). Which is the second smallest value?  (a) -0.1  (b) 9  (c) w  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7815993 greater than -7815965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5005 is divided by 4999.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -627524 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 + 272866*u**2 - 545735*u + 272868.\nAnswer: (u - 1)**2*(u + 272868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 677216860 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 smaller than 406\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 - 9*v - 6. Let c be i(-7). Suppose 0 = -4*k - c, 345 = -y + 4*y + 3*k. What is the smallest common multiple of 1 and y?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/4)\/(-46 - -44)*-8 - -23. Which is greater: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 6 = 4*q. Let f be (2 - (-17)\/5) + (-4)\/10. Suppose 10*w - 300 = -f*w. What is the remainder when w is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -18*j - 3. Let k be 3*(4\/(-3) - -2). Suppose 0 = -k*v - 8, -6 - 10 = 4*o + 2*v. Let a be w(o). What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 2:04 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 + 2.94. Let y = 2.3 + 0.7. Let c = t - y. Is c at most as big as -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -262875591, -525751184, -788626777, -1051502370, -1314377963, -1577253556?\n\"Answer: -262875593*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*g**2 + 565*g**2 - 4 - 273*g**2 + 4.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 20*h - 6*h**2 + h**3 - h - 14*h. Determine f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2104025, -4207973, -6311847, -8415647, -10519373, -12623025, -14726603?\n\"Answer: 37*v**2 - 2104059*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -12778916\/3 at most as big as -4259639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by -17.\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*s - 387*s + 16560 = 0 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30706 is divided by 10229.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) -195  (b) -2\/15  (c) 0  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 390018953 at most 390018954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/(6\/16))\/(15 + -13). Sort 18, y, -1 in decreasing order.\nAnswer: 18, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 89 = x, 3*m - 4*x + 31 = 4*m. Calculate the highest common divisor of 172 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4218*r**3 + 29*r - 15*r - 14*r.\nAnswer: 4218*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 6*u**2 - 2*u + 4. Let m be k(6). Let t be ((1 - 1) + 3)*m\/12. Let w(l) = -l**3 + 8*l**2 + 9*l - 3. Let i be w(9). Is i > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4*d - 9. Let h be p(-3). Suppose h*n + 0*n - 4*y = -17, n + 2*y = 1. Put 2, -2, n, 3 in descending order.\nAnswer: 3, 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -42*n**3 + 2*n**2 - 48*n + 45. Let g be m(1). Let a(y) = -49*y**3 + y. Let u be a(-1). Let k = u + g. Solve -3 = -k*o + 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, h: 3, a: 6, c: 1, r: 3}. Give prob of picking 1 h, 1 z, and 1 c.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 46219 and 0.17.\nAnswer: 46219.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -w**3\/3 + w**2\/2 + w - 6. Let y(u) = -u - 1. Determine 2*o(q) + 3*y(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -19731.737 rounded to the nearest 100?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*g, 4*h + 2658*g = 2657*g - 76 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g + 10. Let d(n) = -1. Determine 8*d(f) + y(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 f, and 1 d when four letters picked without replacement from dpydfydpiydyidpfyfp?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35399.99911012 + -35400. What is z rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 3, -32, 1.7, -0.84?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*q - 3*q**3 - 2*q**4 + 4*q**3 - 2 + 56*q + 1 + 2*q**2 to r + s*q**4 + g*q**2 + f*q + b*q**3 and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u - 23. Let j be k(9). What is the units digit of j + -42*48\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/252 and -127\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**5 + 467*z**4 - 55678*z**3 + 270042*z**2 - 374913*z + 160083 = 0.\nAnswer: 1, 3, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4.3*0.21\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -852 + -378. What is u rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 4830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -33099 and 0.126.\nAnswer: -33098.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 878485 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + l**2. Let p(u) = -u + 6. Let f be p(-6). Let a(z) = 3*z**3 - 6*z**2 + z + 2. Let i(b) = f*t(b) + 3*a(b). Determine j so that i(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3 - 2068652*l**2 + 266934468864*l + 135329979903120.\nAnswer: 4*(l - 258834)**2*(l + 505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-2)\/(-3) + (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 (base 16) in base 15?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1, -46, -123, -232?\n\"Answer: -16*t**2 + 3*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 280*l + 3 - 4 + 1 + 391*l.\nAnswer: 671*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**3 + x**2 + 3*x + 8. Let q be k(-4). Let z(c) = -18*c + 3. Calculate the remainder when z(-3) is divided by (-30)\/165 + q\/(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -745 + -5?\nAnswer: -74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57.6 - 58. Let y = -0.4 - x. Sort -0.2, -0.4, y, 1\/5 in ascending order.\nAnswer: -0.4, -0.2, y, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(171) + 2*sqrt(171)*-1)\/(-6*sqrt(729)) + 4) + 1.\nAnswer: sqrt(19)\/54 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/26)\/((-7)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -8\/1171889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -11. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2. Let q(t) = -6*t**2 + 8*t. Give h(q(s)).\nAnswer: -36*s**4 + 96*s**3 - 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {n: 2, a: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -3 - (-3 + -3 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 178290 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 112637 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (-1 + -3 + (2 - -1)). Let m = u + -2. Solve m = 3*h - 7*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/6, 37, 0, -0.5 in descending order.\nAnswer: 37, 0, -0.5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -836 = 10*c - 4296. Let m = c - 179. List the prime factors of m.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 22*c**3 - c - 3*c**2 + 66*c**3 - 4 + 119*c**3 + 2*c. Let q be j(4). Suppose 5*b - b = -q. What is b rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101000101110 (base 2) to base 16.\nAnswer: a2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 14154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - r + 15 = 0. Let l be -2*(r\/2)\/(-3). Let z(u) = 3*u - 1 + 4*u + 0*u. What is z(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 14649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -263, -10682, 1.\nAnswer: -10682, -263, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*z**3 - 2676*z**2 + 1952*z + 624.\nAnswer: 4*(z - 26)*(z - 1)*(25*z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 30 = -2*l + 5*m, 2*l = -5*m - 35. Which is smaller: 0.06 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2  (b) -2\/72477  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -429 - -428.99999896. Round b to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 3:58 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.1 - -1. Let w = -1.1431 + 0.1431. Which is the nearest to -2\/3?  (a) w  (b) o  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3150212 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -25608.5 to the nearest one hundred.\nAnswer: -25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1917 = 1680*p - 1751*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12b9023 (base 12) to base 3\nAnswer: -21000100221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*i - 46743, 5*i + 9473 = -5*n + 67903. What are the prime factors of n?\nAnswer: 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 2:28 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 22, 15 in descending order.\nAnswer: 22, 15, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 1)\/(-10 + 9). Suppose 4*j + 64 = q*f, f + j - 10 = -j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2 - 15*n - 24. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9830746820380 + 0.5.\nAnswer: 9830746820380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1040234565 to the power of 1\/2, to the nearest integer?\nAnswer: 32253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - (0 - 3366\/(-21)). Let m = -156 - v. Find j such that -6\/7*j**4 - 2\/7*j**3 + 0 + m*j + 6\/7*j**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/1098 and -99\/1952.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -16*a - 5*a - 17*a + 12*a. Let d(l) = -l**2. Give d(t(x)).\nAnswer: -676*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + z = -2*z - 11, 4*z = 3*a - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 632 = 2*m. Let t = -5637 + 5731. Suppose -t - m = -4*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d + 1. Let t = -269 + 504. Let z = 242 - t. Determine h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11136 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 17604000 to the nearest one hundred thousand.\nAnswer: 17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one halves of a day in minutes?\nAnswer: 65520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*o = 26*o + 15. Suppose 2*l = 5*n + 35, o*l = 2*l - 3*n - 10. Let b(f) = -2*f + 12. Let y be b(l). Which is smaller: y or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*f - 4. Suppose -2*w = 4*c - 14, 0 = 3*w - 3*c + 2 + f. Let m = -69 - -73. Put w, m, -3 in descending order.\nAnswer: m, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 79 - 25 = 0. Let r be (v\/(-3))\/3 - -2. Suppose r = -4*k + 37. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 28.37397 litres?\nAnswer: 28373.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 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 are the prime factors of 4140129282?\nAnswer: 2, 3, 37, 18649231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -10.5  (b) 5  (c) -0.4  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = w - 5*w. Let l be (-3)\/3*1 + w. Suppose 5*q - l = -2*j - 6, -2*j + 2*q + 2 = 0. Does j = 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 30*o**2 + 73*o - 192. What is the remainder when f(-27) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of 4*a**7\/21 - 18*a**5\/5 - a**3\/6 - 137*a**2\/2 + 2*a + 2. What is the second derivative of v(l) wrt l?\nAnswer: 160*l**3 - 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.198404 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovvkxovvoo. Give prob of sequence kx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2. Let o(q) be the first derivative of 2*q**2 - 13. Give o(t(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 702170393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 21*p**3 + 6*p + 4. Let m be s(4). Calculate the highest common factor of m and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 x, and 1 n when three letters picked without replacement from rrnrntnnsrx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192\/(-2176) - 58807\/(-8330) - (0 - -7)\/1.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-447)\/298)\/(4\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*k + 15 = -3*h - 23*k - 15*k, -4*k + 16 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 80 from 0.2.\nAnswer: -79.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -598*s = -2*d - 296*s - 298*s + 56, 52 = d - 4*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2272 - -31795\/14. Let q = 7.2163 - 7.3163. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a**2 + 19*a + 10. Let u = 11 - -3. Suppose -2*k + 16 = u. What is the remainder when k is divided by c(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*d + 4*d + d)*(3*d**2 - 3*d**2 - 4*d**2)*(1 - 5 + 1)*(-2 + 2 + 1).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 28*t - 47. Does 30 divide 1100\/(-165)*(-72)\/(4\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/7)\/(w*w**4*w)*(w*w*w**(-5\/4)*w)\/(w**(1\/4)\/w) assuming w is positive.\nAnswer: w**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 696119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 less than 185504?\nAnswer: 185524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrxrrrr. Give prob of sequence rx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6\/7  (b) 1\/2  (c) 5  (d) 719  (e) -117\/59  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 24. What is the smallest value in 4, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24697.\nAnswer: 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -377\/2?  (a) 3  (b) 2  (c) -4  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 635*q - 16502. What is w(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28659.72ng to tonnes.\nAnswer: 0.00000000002865972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*d + 5 - 19, 0 = -2*j + d - 3. Let n(h) = 9*h**3 - 9*h**2 - 3*h - 1. Let p(r) = -2*r**3 + r**2 - 1. Let m(w) = n(w) + 5*p(w). Determine m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1452) + (sqrt(1452)*-2 - sqrt(1452) - sqrt(1452) - sqrt(1452)))*-5 + (sqrt(1452) - -1*-1*sqrt(1452)))\/((sqrt(384)\/(2*sqrt(8)))\/(1*sqrt(288))).\nAnswer: 2640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.2 times 6?\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2449550\/81 + -7474943\/810. Let o = j - 21011. Let k = 337\/90 + o. Find the common denominator of -23\/20 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-29)\/(r**4*r))\/(r**(5\/7))**(5\/9) assuming r is positive.\nAnswer: r**(-2167\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -379974 (base 11) in base 5?\nAnswer: -123130124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.72856 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6356*r = -546*r + 5810 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1411*f**4 + 2831*f**4 - 3*f**3 - 3*f**2 - 1418*f**4 in the form i*f**2 + v*f**4 + y*f + m*f**3 + k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v + 194 - 5*v + 3*v - 194.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 737884 is divided by 6895?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**4\/24 - 2*t**2 - 6. Let z(i) = -215*i**2. Determine m(z(d)).\nAnswer: 215*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -1\/7, -5, -30108, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (170\/15)\/17*20*(-8)\/((-40)\/27)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -7*t**6\/180 + 8*t**5\/45 - t**4\/9 - 24*t**2. Solve n(b) = 0 for b.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18691850 or 18691849?\nAnswer: 18691850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260 is divided by 100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -2, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8d210 + 3a1?\nAnswer: -8ce6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1728)*-1 + sqrt(1728) - sqrt(1728) - sqrt(1728))\/((sqrt(6) - sqrt(54)\/(sqrt(27)\/sqrt(3))) + (sqrt(72)*-1)\/sqrt(12)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 3*u = 198 - 182 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16*9 + (-3)\/(-1). Let t = 142 + -64. Let b = w - t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 10 = 4*z + n, n + 10 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76.9999922 + -77. What is t rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9680 and 81872?\nAnswer: 49532560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i. Let u(v) = 113668*v - 13. Calculate u(h(p)).\nAnswer: -341004*p - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 213114 - 20?\nAnswer: 213044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1495481870 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.02 - 0.026. Let r = -0.0060102 - h. Round r to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 + -12. Suppose -4*x + m = -7*x. Let j(c) = -2*c + 1 - 5 + 1. Determine j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-39))\/((-23)\/46)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23780 divided by 20?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 50 = -16*k - 108. Let l(s) = -s**2 + s + 34. What is l(k)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7716601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -33\/4*i**4 + 0*i**2 + 18 + 25*i + 0*i**3. What is the derivative of j(b) wrt b?\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.0503.\nAnswer: -0.1509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-78*x + 8 - 15 + 5)*(3*x - x - x) in the form i + a*x + h*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 852833.2 years?\nAnswer: 85283.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**3 - 2*a**2 - 2*a - 12. Let w be z(-2). Solve -20*t + 23*t + 4*x - 15 = w, -x + 6 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172 divided by -1.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**2 + 3*y - 2. Let f be j(1). Let h = f + -5. Let k = 15 - h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 8 = -2*l, -l - 2*u - 8 = 4*l. Is l at least as big as -3\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 12:18 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12135340 (base 9) to base 2.\nAnswer: -10110100111011000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*m = 91*m + q + 107, -2*q - 175 - 90 + 45 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 411*n. Let i(j) = 68*j + 3. Let w(a) = 590*a + 26. Let s(t) = 26*i(t) - 3*w(t). Give s(g(u)).\nAnswer: -822*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(66)*-1)\/(-1*sqrt(726) - sqrt(726) - sqrt(726) - sqrt(726) - sqrt(6)).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from fiioioipcrpiiciorr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 503.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4*z + 4*z - z)*(-59 - 138 + 73) + (-3*z + 5*z + 0*z)*(2 + 3 - 3))*(4 - 2 - 1) in the form p + w*z and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2447321 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -172.6 + 173. Sort f, 2, -2\/15 in decreasing order.\nAnswer: 2, f, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13.4 + 13.5. Let h = -4 + 3. What is the closest to h in -1\/2, -2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -177 + 190 + 70\/(-6). Let m(l) be the first derivative of -8*l - 2*l**2 - 2 + y*l**3. Suppose m(p) = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 13461196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w**3 - 7*w**2 - 8*w - 19. Let a(d) be the third derivative of -d**6\/30 + d**5\/10 + 7*d**4\/24 + 3*d**3 - 62*d**2 + 2. Calculate -7*a(r) - 6*u(r).\nAnswer: -2*r**3 - r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3857, 5, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from wwdzwszswydj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + 0)\/(3 - 91\/28 - (-286)\/1496)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 11111100?\nAnswer: 11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (5973\/231 + -26)\/(2\/(-192122)).\nAnswer: 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -2*j + 29 - 12, 0 = -3*d + j + 19. Let w = -60 + 90. Solve z - 2*z = -d*g - w, 3*g + 3*z = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -1.82, 0.2, 1 in decreasing order.\nAnswer: 1, 2\/7, 0.2, -1.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10291 - 10250 - (0 + -54)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(4\/5)\/(l**0\/l))**(-27) assuming l is positive.\nAnswer: l**(-243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-4) - (-33)\/(-12). Let c be (w + 34\/4)*2. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-64*-11*2\/(-220)*1)\/(396\/110)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 423074810 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -19, 4\/174445, -3?\nAnswer: 4\/174445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 100580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.36183315597266 plus 0.5?\nAnswer: -0.86183315597266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -1, 5, -4, -76 in increasing order.\nAnswer: -76, -4, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/3 - 5\/3*h**2 - 1\/3*h**3 + 13\/3*h = 0. What is h?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 650, 2602, 5856, 10412, 16270?\nAnswer: 23430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l + 1 - 3*l + 0*l + (2 + 0 - 5)*(l - 1 + 1).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1073 + -1078. Let n = -0.5 + 3.5. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1358, -2604, -3860, -5132, -6426, -7748, -9104?\nAnswer: -10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1614 divided by 10040\nAnswer: 807\/5020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4*(3\/(-3))\/2. Suppose t*h - 2 = -w + 4, -2*w + 5*h + 12 = 0. Suppose b = w*b. Solve m - 2*m + 5 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154804 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -855 times 6432\nAnswer: -5499360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52981 is divided by 13242.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4375803 divided by -33.\nAnswer: 1458601\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -r + 20. Let m be 4 - (-6 - -2)*-1. Suppose m = -r*g + 15*g - 5. Sort 5, g, 0.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (22\/(-4))\/(3\/6). Let f = q + 15. Suppose -2*t = -16*t - 20*t + 170. Put 8, t, f in descending order.\nAnswer: 8, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and 13625\/5576 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -21  (b) -15  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c + c + 0*c)*(178 + 164 + 384) as z*c + m and give z.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 1 + 4*r - 2*r - r. Let v(q) = 2*q + 14. Let x be v(-11). Let k(o) = -o**2 - 7*o + 3. Let w be k(x). Let u(a) = -8*a - 3. What is w*z(y) - u(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -16*m**3 + 2*m + 1. Let s be k(-1). Suppose r = -4*r + s. What is the third derivative of -x**3 + r*x**2 - x**2 - x**2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2113*z**3 - 1159*z**3 - 1060*z**3 - 4 + 4.\nAnswer: -106*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n + 7 + 61*n**2 + 519*n**2 - 1 - 2. Let b be k(4). What is b rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u - 15. Suppose 2*b - 5*v + 37 = 0, 0*v + 100 = -5*b + 5*v. Let p be o(b). Suppose -2*h - 127 = -5*w, 3*w = p*h - 2*h + 79. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728*y - 641*y - 190*y + 112*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 125 - 106. Is a greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 3\/4*c**3 + 0 + 1\/8*c**4 - 3*c - 3*c**2. Factor z(x).\nAnswer: 3*(x - 1)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r + 1. Let i(m) = -m. Let a = 10 + -11. Calculate a*c(s) - 3*i(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 487 + -474. Suppose 15*q - b*q - 112 = 0. What is the highest common divisor of 112 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22.6 - 23. What is the smallest value in o, 1, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 714619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -67809, -67149, -66489, -65829?\n\"Answer: 660*f - 68469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 2*i + 3*i - 10, -2*a = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 188807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 73 + -103. Let z be 1198\/10 - 6\/y. Suppose -2*q - 3*q = -z. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -38 + 13 + -4 + 97\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27856 and 200624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 22022.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -26. Suppose 0 = -2*r - 3*f + 35, -3*r - p*f + 21 + 29 = 0. Let c(q) = -1 + r - 2 - q. What is c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.05  (b) -61  (c) 0.5  (d) 4  (e) 23\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -757*d - 3777. Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 31*k**6\/30 + 20*k**2 - 11*k. Differentiate w(l) wrt l.\nAnswer: 124*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21245 by 5.\nAnswer: -4249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of z**4\/8 - 5*z**2. Let k be n(8). Let c be 16798\/(-8) - 6\/k. What is c rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*g - 5*l, -14 = -5*g + 2*l + 23. Suppose -4*c + 15 = g. Suppose -1 - 25 = -c*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3*n = -447, 4*z - 2*n - 3*n = 598. What are the prime factors of -1 + (z - 1*0\/2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - -1. Suppose -4*l - 3*v - 12 = -v, 0 = 5*v. What is the units digit of l + (-6)\/(-4)*w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -27*w - 6. Let m(k) = 55*k + 12. What is 2*m(b) + 5*o(b)?\nAnswer: -25*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44*n**3 - 34 - 7*n**2 - n**2 + 34 wrt n?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/17 - 328*h - 266490\/17.\nAnswer: 2*(h - 2835)*(h + 47)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2763 is divided by 1344.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/(q*q*q\/((q*q**0)\/q)*q)))\/q)\/q*q)**(1\/51) assuming q is positive.\nAnswer: q**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -368*c*o - 37*o with respect to c.\nAnswer: -368*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 4*r + 7 = 0, 5*a + 3*r + 2*r + 35 = 0. Suppose -2*h - 1 = 1. Sort 3, h, a in descending order.\nAnswer: 3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 67641 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2192405 bigger than 2192405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 6 - 2)*(-266 - 255 + 521 - 116*f).\nAnswer: -116*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5302 - -7126. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2491680?\nAnswer: 2, 3, 5, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 18  (b) 4\/5  (c) -3  (d) -5  (e) -339  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 156 in 4, 25\/8, -1, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -806, -821, -836, -851?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2*p, -22*v - 4 = 3*p - 23*v. Let l = -31\/140 + -1\/35. What is the nearest to 1 in l, p, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9653602ng to grams.\nAnswer: 0.0000000009653602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 23*h - 13. Let f(m) = -6*m + 3. Give -9*f(l) - 2*o(l).\nAnswer: 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.04 - 0.26. Let f = -653\/6 - -109. What is the third biggest value in f, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/40)\/((-36010)\/(-22160))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 2*a**2 + 47 + 9.\nAnswer: 2*a**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 - -8. Let t = -39.28 - 0.72. Let u = w + t. What is the second smallest value in -5, u, -0.31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52\/26)\/(4*-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46559?\nAnswer: 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 14*n**2 - 17*n + 20. Suppose 8*v + 4*o + 69 = 3*v, -3*o = -v - 29. Let a(k) = -5*k**2 + 6*k - 7. Give v*a(c) - 6*j(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in -12\/17, 0.3, -1, -0.0912?\nAnswer: -0.0912","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.8 - 0.8. Let v be -2*(-12)\/14 - 2. Which is the third biggest value?  (a) v  (b) f  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(112) - sqrt(7)) + -2 + 1*(sqrt(2) - (sqrt(2) - 3*sqrt(8))))**2.\nAnswer: -76*sqrt(2)\/3 + 758\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -394 - -353.7. Let r = -40 - h. Let f = 18.8 + -18.9. What is the closest to f in -1\/5, r, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 3*c = 4*b - 1080, 0 = -3*c. Let r be b\/33 + (-2)\/11. What is the units digit of r + (1 - 1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 8 = 4*i. Let z(u) = u**2 - 5*u + 6. Let y be z(4). Let c = 3 - y. Sort i, 3, c in ascending order.\nAnswer: i, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -2*h**2 + 1\/6*h**4 + 1\/15*h**6 + 3\/10*h**5 - h**3 - 5 + 8*h. Solve n(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 7*m - 3. Let i(v) = -391*v - 3. Let p be i(-3). Let w be 2\/(-9) - p\/(-162). Determine t(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1435447 (base 8) to base 12\nAnswer: 17839b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - j. Calculate b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -h**4\/4 + 7*h**3\/3 - 5*h**2\/2 - 4*h - 10. Let t be g(6). Suppose l = -w + 6*w + 1, -t*w + 20 = 3*l. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1213230 (base 4) to base 2.\nAnswer: -1100111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 58150 and 9048?\nAnswer: 263070600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*v**3 + 173*v**2 - 173*v**2 + 1 + v as q + r*v**3 + h*v**2 + g*v and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from uwwuiuxuy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 10*i - 19584 = 0. Does 48 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 15) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 + 0.56. Let z = -4 + 4.05. Let p = z - 2.05. Which is the biggest value?  (a) p  (b) w  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 368718 is divided by 24580.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, -0.86, -251, -2\/11, 0, 2 in ascending order.\nAnswer: -251, -0.86, -2\/11, 0, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121 - 123 + 9*b - 31*b.\nAnswer: -22*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*3\/24*-112. Let k = h - -81. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 10*o - 2. Let s be m(-10). Sort 1, s, -4.\nAnswer: -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7847 or 7778?\nAnswer: 7778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2620715477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 10:56 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 not equal to -7649\/1962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -8 + 3842\/4 + 10\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1849 = -4*w + a + 55549, 2*a + 40275 = 3*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of c**6\/360 - 2*c**5\/45 - 31*c**4\/72 - 11*c**3\/9 - c**2 - 6*c. Factor z(a).\nAnswer: (a - 11)*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*r + 16 = 0, -3*u + 5*r + 5 = -8*u. Suppose -u*s = -0*s. What is the derivative of -2 - 2*g**4 + s + 4*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5984132284?\nAnswer: 2, 13, 163, 706009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 4*x**2)*(0 - 2 + 3) + (16*x + 0*x - 5*x)*(-5*x + 3*x - 3*x).\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(76)*2)\/(sqrt(144)*2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 - 287 = -23*a + 138 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 equal to 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4*n + 3 = 20, -r + 1 = -n. Suppose 0 = y - r*y + 142. Let c = y + -34. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 20*m**4 + 9075*m**3 - 20490*m**2 + 13675*m - 2280 = 0.\nAnswer: -456, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/18 and 67\/956.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + -50 - (1 - -10) - (-4 + 15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, d: 5, y: 2, w: 3}. Give prob of sequence twt.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67825028 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, x: 3, h: 2, p: 10, l: 2}. What is prob of sequence xp?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/7 and 101\/29232.\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 667*j = -335*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - 29*m + 37. Determine a(10).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 33*(-10)\/(-15) - -2. Let v be ((-14)\/(-126)*-84)\/(2\/(-9)). What is the highest common factor of d and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 o, and 1 z when three letters picked without replacement from yzcozoocczyzzoyyz?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43884352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (11 + -9)\/((-8)\/(-4276))?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g\/(g**(5\/2)*g)))*g*g**(-6)*g*g)**18*g**(3\/2)*g\/g**(2\/3)*g*(g\/g**(-1\/7))\/g*g**(-2\/23)\/g assuming g is positive.\nAnswer: g**(-93809\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113905 is divided by 128.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -1871  (b) -0.1  (c) -1388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -63*i**2. Let t(v) be the third derivative of -v**5\/20 + 86*v**2. Give l(t(b)).\nAnswer: -567*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -0.03, -2\/5.\nAnswer: -9, -2\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -9 - (43 - 69).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-8)\/(-10)*(2735 + 45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 12*s**2 + 64*s + 502. Is 185 a factor of n(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 19. Let q be (3 + -3)*r\/6. Solve -h = -2*m - 3*h, 3*h = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/4036 and -57\/4.\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 7 - 5 = 0. Let d(n) = -n**3 + 4*n**2 + 3*n + 1. What is the units digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1853 + -1850. Solve -o = 8*o + a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/((sqrt(132)*1)\/sqrt(12)) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286233329.\nAnswer: 5867, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 162999513 a multiple of 1623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004039065175 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 106607357551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -1. Suppose a*d = -d + 69. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lhjo when four letters picked without replacement from {j: 6, o: 1, l: 2, h: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -3, 3, -129605, -1, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*a + 0)*(6*a + 8*a - 5*a) - 1 + 5 + 2*a - 5 - 2*a**2 to u + b*a + i*a**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of -f**3 - 3. Let a(n) = 16*n**2 + 1. Suppose 0 = -5*s + 37 + 18. Give s*b(i) + 2*a(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/46, 7933.1, -0.3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -j + 6*j, -3*j = m. Put m, -1, 4 in decreasing order.\nAnswer: 4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300116*s - 4802 = 300067*s for s.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -136*f - 27. Let q be z(-11). Let d = q - 561. List the prime factors of d.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5221, 5202, 5171, 5122, 5049?\nAnswer: 4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/3 + (0 - -2) + 0. Let n be (5\/3 - 2) + 6640\/q. Let v = n - 1540. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -1. Solve -s + 3 = 2*u + 14, 0 = 5*s - 3*u + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 363334 (base 7) to base 12\nAnswer: 32264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 473930 divided by -5\nAnswer: -94786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 296 + -281. Let d = 14 - 10. Calculate the remainder when b is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 8:57 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 4*o + 2. Let h be l(-3). Let a = h - -10. What is the lowest common multiple of a and 2\/3 + (-28)\/(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -77 - 80 - 46*g + 158 as y + c*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -23*i. Let k be h(-8). Let g = k - 167. Calculate the remainder when g is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110010010 - 111101000001000?\nAnswer: -111000001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 - 0.3. Let n(o) = -18*o - 1. Let w be n(-1). Let q = -35\/2 + w. Which is the nearest to p?  (a) -2  (b) -1\/3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -265*c**3 + 5*c**2 + 3*c - 15. Let w(b) = -132*b**3 + 2*b**2 + b - 7. Let r(s) = 2*a(s) - 5*w(s). What is the second derivative of r(g) wrt g?\nAnswer: 780*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*f - 21. Let u be 4*4\/f + 2. Let j = 0.22 - 0.22. Which is the third smallest value?  (a) -0.3  (b) u  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.3  (c) 86  (d) 1\/11  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/552787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -136400494 + -0.4.\nAnswer: -136400494.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (23748\/(-16))\/(12\/(-4)). Let s = k + -498. Which is greater: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11191149*q**3 - 11190953*q**3 + 22382096*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 35b1 + b?\nAnswer: 35bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -124, -281, -510, -817?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -843835061 - -1496.\nAnswer: -843833565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.4, -28893173, -0.1 in decreasing order.\nAnswer: 2, -0.1, -0.4, -28893173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 5:33 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j + 74. Let b be x(25). Is (-267178)\/38*(b - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3809 take away -48?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/3 - 98*i\/3 - 32.\nAnswer: -2*(i + 1)*(i + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 4:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of n**4\/12 - n**3\/2 + n**2 - 2*n\/3 - 1. Factor r(j).\nAnswer: (j - 2)**2*(2*j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 3*z - 3*z - 8 - 35260*z**2.\nAnswer: -35260*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -190e6 - -8?\nAnswer: -190dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1. Let o be (-3 + y)\/((-18)\/(-4)). Which is smaller: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j**3 - 100*j**2 - 32*j + 58. Calculate w(-33).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*g = 70*g + 96654 - 1739654. List the prime factors of g.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4.21  (b) 2\/29  (c) 4  (d) 3541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 3*l**2 - l + 9. Let m be z(4). Let b = 16 + m. Suppose 3*f - 2*o - 102 = -b*o, 0 = -3*f + 2*o + 107. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 16, e: 2}. What is prob of sequence eue?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 138465 - -806?\nAnswer: 140372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3267 = 7*j - 16*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1363994720 divided by 22?\nAnswer: -61999760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -132044201135 + -4?\nAnswer: -132044201143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1366\/10373?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 258, 6.2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/11 - 386*s\/11 + 1680.\nAnswer: 2*(s - 105)*(s - 88)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -38738 divided by -1\nAnswer: 38738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 592 divided by -2\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-4\/7)*r)**31)**(2\/149)\/((r\/r**(1\/3))**34\/((r*r**(-1)*r*r*r)\/(r*(r\/r**(-5\/3))\/r))) assuming r is positive.\nAnswer: r**(-68021\/3129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - -58. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**8\/840 + w**7\/350 - w**6\/600 - w**5\/100 - w**4\/120 - 3*w**2 - 34. Let l(p) = 0. Calculate p.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*k - 2 + 2)*(k**3 - 21 + 21 + k**2) + (-4 - 4*k + 4)*(57*k + 8*k**2 - 57*k)*(4*k + 2*k - 4*k) as y*k**3 + g*k**2 + z*k + c*k**4 + v and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**2 - y - y**2 - 2*y**2)*(138 + 638 - 286 + 404 + 602).\nAnswer: -4488*y**2 - 1496*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -106*f - 3 + 58*f + 48*f - 1962*f**2 as q*f**2 + m*f + r and give q.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8186, 8199, 8220, 8249, 8286, 8331?\n\"Answer: 4*b**2 + b + 8181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 149982019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2137821 (base 9) to base 11.\nAnswer: -714057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2903869282.9 and 2?\nAnswer: 2903869284.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -1\/6*i**4 + 0 + 1\/20*i**5 + 40*i + 1\/6*i**3 - 3\/2*i**2. Give x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -930472 - -930472.0979449. Let c = 0.0979 - y. What is c rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -475 and -0.392.\nAnswer: 186.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 960 - 1416. Let z = v + 818. Suppose -z = -7*a + 58. What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005363 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (1 + 5) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1331.7 + -1334.7. Let v = -1 + 0. Sort p, -2\/55, v in ascending order.\nAnswer: p, v, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-98)\/(-3) + (-8)\/12 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9107028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from uzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 350696 and 47672?\nAnswer: 35420296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 5*p - 20 = 0, 0 = 2*f - p - 8 - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3201 or -3048?\nAnswer: -3048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.4 and 960256605245.\nAnswer: 960256605248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00126 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/8223951?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -0.5  (c) 0  (d) 112\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-4275)*(-3726)\/2898\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10045 at most 10038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/33  (b) 211  (c) -2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-52)\/(-16) - (-4)\/16. Let t be 17 - (a\/(-9) + (-476)\/(-126)). Solve -1 = -3*j - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 33\/(-12) + 6\/2. Let z(p) be the second derivative of 0 + 0*p**2 + p + r*p**4 + 1\/3*p**3. Find the second derivative of z(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41734 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t*t**(-2\/11)\/t)**(-1\/22)\/(((t**(4\/7)\/t*t)\/t)\/t**(4\/3)) assuming t is positive.\nAnswer: t**(4267\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22022 + -2?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*c**3 + 586*c**2\/3 + 281*c\/3 - 8\/3 = 0 for c.\nAnswer: -1, 8\/297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/2)*g*g)\/g)**(-7\/4)*(g**(-2\/5))**27 assuming g is positive.\nAnswer: g**(-537\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p. Let k(d) be the second derivative of d**7\/2520 + d**4\/12 - 5*d. Let c(n) be the third derivative of k(n). Determine t(c(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -355306*o**3*r**3 - o**3*r**2 + 5*o**2*r**2 + 8*o**2*r - 2*o*r**3 - 26*o*r wrt o?\nAnswer: -2131836*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.351 - -0.491. Let l = 1.16 + h. Which is the nearest to -0.1?  (a) l  (b) 8  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 275*a**4 + 3*a**2 - 19 wrt a.\nAnswer: 6600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 a factor of 26163228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 5*c**2 + 2*c. Let n(b) = 2*b**3 + 11*b**2 - 5*b. Let u(s) = 2*n(s) + 5*r(s). Let f(v) = -2*v**3 - 2*v**2. Determine 6*f(l) - 4*u(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 252987119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -93*m + 1303. Is a(-86) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2731 + 2730.8877. Let u = l + 0.104. What is u rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -0.3, -1, -0.31, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4257827 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -4*o - 15. Let a(y) = -84*y - 11. Let l(k) = -57*k - 12. Let z(q) = 2*a(q) - 3*l(q). Determine 5*s(n) + 6*z(n).\nAnswer: -2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 7*m. Let w(l) be the second derivative of -67*l**4\/2 + l**2 + 8201*l. Determine v(w(q)).\nAnswer: -2814*q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12199?\nAnswer: 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13277 - 13282. Put -2\/9, -1.7, t, 2\/3, 5 in descending order.\nAnswer: 5, 2\/3, -2\/9, -1.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dnvbnvpdc. Give prob of sequence cdv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -1154*b**2. Let c(k) = 30*k**2 + 16*k - 1. What is c(a(g))?\nAnswer: 39951480*g**4 - 18464*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.22 - -0.13. Let a = r - 4.11. Let d = a + 0.7. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54315 less than 43750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/147 and -3\/1417.\nAnswer: 208299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 12*x**2 + 31*x - 16. Give l(16).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 752 = 272*o - 84*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/((3\/17)\/(4209\/92)). Does z = -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -0.1, -3\/4, 2\/25, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-12)*((-8)\/98 + 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 10:44 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -0.5, 3\/7, 1 in increasing order.\nAnswer: -0.5, -1\/5, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -140 (base 14) to base 16\nAnswer: -fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 34*p**2 - 34*p - 18. Determine z(35).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 105*c**2 - 2099*c - 23. Let t be f(20). Let b(y) = -2*y - 1. Let r be b(-2). Sort t, r, 5, 1 in ascending order.\nAnswer: t, 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 184\/23 - ((-24)\/2)\/3. Let m(j) be the first derivative of 0*j**2 + 4\/5*j**5 + 4*j**4 + 0*j + c + 4*j**3. Determine f so that m(f) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 182*b**3 - 115*b**3 - 128*b**3 + (29 - 29 - 4*b)*(-3 - 2*b**2 + 3) + (-3*b - 3*b**3 + 3*b)*(-2 - 3 + 7).\nAnswer: -59*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 12 = 4*q + 3, 0 = 4*q - 8. Suppose -4*u + 3*u + f = 0. Let x(w) = -3 + 2*w + u - 3*w**2 + 3. What is x(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/373050 and 49\/310875.\nAnswer: 1865250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (6 - -5) + -14 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43344 divided by 5.\nAnswer: 43344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - r**2 + 3*r - 2. Let v be t(-3). Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 15*v**2 - 14*v + 7. Calculate l(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 31 and -0.2151.\nAnswer: -6.6681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -106 + 60253.\nAnswer: 60147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 517.89 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -17183403, -34366806, -51550209, -68733612, -85917015, -103100418?\n\"Answer: -17183403*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2056 - -54?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0, -54, -0.088, -3 in ascending order.\nAnswer: -54, -3, -0.088, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -212?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/2)\/((-4)\/8*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59 - -89. Let d = y - 18. Let t = 54 - 19. What is the remainder when t is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 9*a**3 - 6*a**2 + 6*a - 2. Let v(t) = t**3 - t**2 + 4*t. Let b(c) = -2*c**3 + 2*c**2 - 7*c. Let p(y) = -3*b(y) - 5*v(y). Determine 6*p(l) - r(l).\nAnswer: -3*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3 - -0.3. Let f = -1 + t. Let k be (1 - -1)*10\/(-10). Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29190327.\nAnswer: 3, 19, 29, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 111*i + 348. Calculate the lowest common multiple of 24 and r(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {h: 1, t: 1, j: 3, m: 1, s: 5, n: 6}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231*q + 15178 = 4783 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/7 - 108\/(-14). Suppose -2*t - x = -4*t + o, -4*t + 5*o = -16. Solve -6 = t*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t**2 - 4*t + 3. Suppose 16 = -4*o + 4. Let c(b) = -b**2 - b + 1. Determine o*c(k) + y(k).\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13 + 4*l**2 + 13)*(-3 + 5 - 3)*(-4 + 8*l + 4) as q*l**3 + y*l**2 + a*l + s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/30)\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 74d557 + -2?\nAnswer: 74d555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 3*q - 2 = 0, -4*q - 4 = -5*z - 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 t when three letters picked without replacement from whlttzld.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 467.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 43 + 68 + 5*j**2 - 3 - 18 - 55*j.\nAnswer: 5*(j - 9)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3750000 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8012346 and 0.04?\nAnswer: -320493.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4180 is divided by 360?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*d - 4*d. Let l = 901\/35 - 133\/5. Is d bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 585848253?\nAnswer: 3, 197, 463, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 474734 and 67?\nAnswer: 31807178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 242736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4326256*j**5 + 1927653*j wrt j.\nAnswer: 86525120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13200010311 (base 4) in base 3?\nAnswer: -10200220101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 71.353, -29, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (5156\/3867)\/((-2)\/27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26854 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 12 = 4*a - c, 0 = -4*a + 2*c + 8. Suppose -2*g + a*j = -22, g - 5 = j + 3*j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 98.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -5*j + 1642, 0 = -j - 2*c - 2*c + 342. Let q = 915 + j. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 8. Let z = -7 - o. Find w, given that -w**z + 2*w**3 - w**2 - 5*w**2 + 5*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 89*g**3 + 37*g**2 - 2 wrt g?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 620 = 1227*f - 1131*f + 140 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 54 * 5396960\nAnswer: 291435840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.12 and -0.011?\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*r - 43*r - 138672. List the prime factors of (3\/(-4))\/(54\/r).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 92915917\/12 - 7753592. Let d = -10591 - m. What is the common denominator of d and 79\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109978?\nAnswer: 2, 11, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s + 3. Let i be k(-4). Let q be i*((-2)\/2)\/1. Suppose 0*y = 2*y - 6, q*n = y + 62. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4388 + 4387. Let k = -0.13 - -0.22. Which is the second biggest value?  (a) -4  (b) 0  (c) n  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-740)\/40)\/37)\/((-8)\/(-656))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 30.79 + 88735965\nAnswer: 88735995.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*d, -30*d - 83 = -3*x - 29*d. Suppose x*z - 16 + 44 = 0. Which is greater: 2\/553 or z?\nAnswer: 2\/553","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2 + 14*m + 12. Let v be r(-6). Suppose -c + v*c - 7 = 2*l, 5 = -3*c - 2*l. Let n = 3 + -2. Calculate the remainder when c is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3077690?\nAnswer: 2, 5, 7, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**5 + m**4 + m**3 + m**2 + m + 1. Let w(g) = 3*g**5 + 9*g**4 + 21*g**3 + 27*g**2 + 18*g + 6. Let i(n) = 3*w(n) - 6*z(n). Factor i(o).\nAnswer: 3*(o + 1)**3*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 113*s = -60690. What is the remainder when s is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 55258*n**2 + 2*n**5 - 55258*n**2 + 259*n**4 + (1 - 3*n**2 - 1)*(n**3 - 4*n**3 + 2*n**3).\nAnswer: 5*n**5 + 259*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -36.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168197376?\nAnswer: 2, 3, 389, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 + -28. Determine i so that 6*i**3 + 5*i - 6*i**r - 4*i**3 - i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/4 - 1) + 1. Let k(d) = -d**3 + 10*d**2 - 10*d + 7. Let n be k(9). What is the closest to -0.2 in 0.3, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1148)\/12 + 4\/(-24)*-4. Let f = 100 + k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**7\/231 + o**6\/11 - 57*o**5\/55 + 122*o**4\/33 - 56*o**3\/11 - 7872*o. Factor k(m).\nAnswer: 2*m*(m - 2)**3*(m + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 360 and 452412?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -161908 and -0.01.\nAnswer: 1619.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2 + 8. Solve 0 = -i*k + 5 - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/(-3))\/(-5)*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 39) + (724 - 725)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 26 - 13 - 15 - f. Let v be x(0). Let h be (v + 1)\/2*-8. Solve -5*a = -5*l, -h*a + 3*l = -3*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 not equal to -418\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6474.13 + -6472. What is m rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-6) - 16\/(-3). List the prime factors of 7 + 2 - (8 - o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*g**3 + 16*g**2*x + 2*g**2 - 2*g + 96*x + 1 wrt g.\nAnswer: 30*g + 32*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 25 = -7*i. Suppose -i*w = 0, 4*w - 14 = -3*o + o. Calculate the lowest common multiple of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(2448)*-2)**2 - (3 + (sqrt(612) - (-1 + sqrt(612) + sqrt(612)))).\nAnswer: 6*sqrt(17) + 244796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-102)\/238)\/(1824\/266).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 119 - 109. Solve 0 = t*h - 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84, -8, 120, 300, 532, 816, 1152?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -0.1, -4, 0, -0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.916 + 0.6. Let b = f + 0.3. Let o = b - -0.0159934. Round o to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/135, 39876, 5.\nAnswer: -2\/135, 5, 39876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 11 = 6*w - 3*v, 5*w = 4*v - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4386, -35149, -118652, -281265, -549358?\nAnswer: -949301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of -11*s**7\/280 - 19*s**4\/12 - 38*s**3\/3 + 9. Let u(c) be the third derivative of l(c). Differentiate u(d) wrt d.\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-6)*12\/(-25))\/((-9)\/165).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 + -21. Find the second derivative of -n**4 + 2*n**o - 4*n + 6*n**4 wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60917\/9 - -6761. Find the common denominator of 8\/3 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**4 + 5 - 1091*s**2 + 1093*s**2 - s + 2*s**3 - 4*s**3 to the form r*s**4 + u*s**3 + o*s**2 + b*s + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -3*u. Let i(b) be the second derivative of b**7\/1260 + b**4\/4 - 4*b. Let m(l) be the third derivative of i(l). Determine d(m(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -13 + -18 + 8 + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 998133.\nAnswer: 3, 332711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.58915902 to 3 dps.\nAnswer: -0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30 + (3 - 3))*(-82)\/(-164).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2003 (base 4) to base 12.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1876311230 - -1876311357.0000069. Let j = m + -127. What is j rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from zczysszszyzyysy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6448 is divided by 2104.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + f - 2. Suppose 0*g - 5*g + 50 = 0. Suppose 7*r - g = 2*r. List the prime factors of o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (119\/(-9))\/(4557\/(-35154))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/21)\/((-1700)\/119). Which is the second biggest value?  (a) 3  (b) 1  (c) x  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.5319 and 7?\nAnswer: -52.7233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*4\/16)\/(5292\/(-784)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 541220 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 855 + -754. Calculate the highest common factor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*v**2 + 30*v**3 - 15*v**2 + (-3 - 3 + 5)*(5*v**3 - v**3 - 2*v**3).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -36*s + 41. Does 23 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d - 2*d + d - 5 - 2*d - 8*d**2. Let q(a) = 20*a**2 + 12*a + 12. Let c(f) = -5*q(f) - 12*u(f). Let x(n) = -n. Give x(c(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**2 - 8\/3*c + 2\/3 = 0. What is c?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1134952*d**5 + 11*d**4 + 4*d**2 - 462851028*d wrt d?\nAnswer: 22699040*d**3 + 132*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 PM and 9:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -129918*h**3 - 2*h**2 - 1847*h + 1 wrt h.\nAnswer: -779508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 2, h: 11, w: 2, r: 1, v: 1, y: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gs when two letters picked without replacement from lizoosgliglll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 9:52 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.074 + 0.504. Let h = 0.13 - o. What is the second smallest value in -3\/5, 1\/10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7898700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -102*u + 3558. Let k be h(35). Which is the closest to -2\/3?  (a) -0.4  (b) -4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108710 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)*-2 + 2 + 4 - (2 + sqrt(200))*-3*5)*-2)**2.\nAnswer: 38592*sqrt(2) + 148832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/19, -0.3, 1\/2.\nAnswer: -0.3, -2\/19, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 (base 9) in base 15?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1265750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14.79 - -15. Let s = -3.582 - -0.672. Let m = s - t. Round m to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6679 - 4519. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-18) + -3*140\/(-189). Sort 1, -14, s, 4.\nAnswer: -14, 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.0233863 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4\/4 - 3*g**3\/4 + 9*g**2.\nAnswer: -3*g**2*(g - 3)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27261637*h**4 + h + 46344306.\nAnswer: -109046548*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1446570414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -188624\/21 - -8982. Which is the fifth smallest value?  (a) 1  (b) o  (c) 0.2  (d) -32  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 17. What are the prime factors of (3*m)\/((-8)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*h - 16*h**2 - 29*h - 54*h + 104*h.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 169581759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) 23\/4  (c) 1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (-17 - -5)) + -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-86 + 86 + 35*k**2)*(2*k - 6*k + 3*k) in the form j*k + o*k**2 + u + y*k**3 and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -6*h - 2. Suppose i - 2*n + 4 = -i, -n = 4*i + 8. Calculate u(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39111 - -30940. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + a**2 - 2*a + 1. Suppose 12*s - 108 = -0*s. Suppose 14 = 4*c + 2. Suppose c*d = -0 - s. What is q(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**2\/2 - 4. Let p(n) be the second derivative of 2*n + 0*n**2 - 1\/2*n**3 + 0. Determine l(p(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -1381*q**2 - 104*q - 915. Let s be p(-35). What is s rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 40 = -2*v + 4*v, 2*v = 5*p - 32. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65 divided by 14934\nAnswer: -65\/14934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -295\/9 - -1103\/18. Calculate the common denominator of h and 2\/(-8) + (-10)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**6\/120 + n**5\/10 - n**3 + 3*n**2. Let h be c(4). Calculate the highest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 761465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2211238 to the nearest one thousand.\nAnswer: 2211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*5*92\/(-115). Put 3, h, -43 in ascending order.\nAnswer: -43, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4*w + 36 - 122 = 0, 230 = 5*b + 5*w. Is (-5)\/(b\/(-6))*(1 + 3452) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2 + (sqrt(153) - 4*sqrt(153)) + (-3 + sqrt(153))*4 + (-1 + (sqrt(153) - sqrt(153)*-1) - sqrt(153) - -3*sqrt(153)*1)**2).\nAnswer: -21*sqrt(17) + 2439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(-1 - -4)\/(-3). Let s(g) = -9*g + g**3 - 3 - 3 + 8*g**2 + g + m*g. Is s(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5666*0.04.\nAnswer: -226.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*w**3 + 2102580*w**2 + w + 3218606 wrt w?\nAnswer: 6*w**2 + 4205160*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u - 8 = -19*u. Sort -3, 5, u in decreasing order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.557917 to two decimal places.\nAnswer: 21.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 3*l = -6, 16 - 24 = 4*c + 4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 2788 = 12*g - 2*u, -4*g = 3*u - 2778. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v + 172 = 16*v. Suppose 5*c - 3*c = 204. Let h = v - c. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 0*x = 0. Suppose x = -4*z + 44. Let v = 204 + -199. Calculate the lowest common multiple of v and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 967718 divided by 278\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/11)*a*a*a)\/a*a*a\/a**(-4)*a**(-6)*a**0 assuming a is positive.\nAnswer: a**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -2*k + 8, -37 = -r - 4*k. What is the remainder when 84 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -n + 9*n**2 + 2*n - n + 4*n wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.93482t to milligrams.\nAnswer: 24934820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -72, -136, -220, -324, -448?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 6 + 23*z - 3 - 27*z. Calculate k(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 9:21 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1005*j*y**5 - 4*j*y**3 - 9981822*j*y**2 + 2*j - 1938*y**3 wrt y?\nAnswer: -60300*j*y**2 - 24*j - 11628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -2\/21*u**7 + 0 + 0*u**4 - 1\/2*u**3 + 0*u**2 + 0*u**5 + 0*u**6 - 3*u. Find the second derivative of l(i) wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.018 + -16098859.\nAnswer: -16098859.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1221419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 731\/(-7413) - (-296)\/6216. Is -1 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m + 0 + 0 + 0*m - 3*m + m + (m + 2*m - m)*(-4 + 3 + 0))*((-1 + 3 - 3)*(-2 + 3 + 1) - 66 - 119 + 43) in the form k + n*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-7)\/14)\/(376\/(-560) - 9\/(-15)). Solve -10*q + 3*q = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 177*(-6)\/126 + 8.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2209*n**5 - 2*n**4 - 20756*n wrt n.\nAnswer: -44180*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 10, n: 10}. What is prob of picking 4 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4*f - 4*u - 27, -4*f + 5*u = 19. Let i(y) = -y - 5. Let z be i(f). What are the prime factors of 1*5*(z + 2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -114.7 less than 1613.3117?\nAnswer: 1728.0117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/6730 and -46\/5.\nAnswer: 6730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93738391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 221653.59 months in years?\nAnswer: 18471.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 + 210?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = 5*s + 43 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 60, 0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -29*y**2 + 8*y + 10. Let f(n) = -29*n**2 + 6*n + 9. Determine -4*f(s) + 3*x(s).\nAnswer: 29*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5746464 and 159624?\nAnswer: 5746464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 183199 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: Calculate the remainder when 51513 is divided by 50383.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -990243 + 990246. Let -44\/13*w - 48\/13 + 2\/13*w**r + 6\/13*w**2 = 0. Calculate w.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 165. Suppose 2*q + 120 + o = 4*y, 5*y - 385 = -5*q. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 38 - (-1 - -5 - (-8 - -20))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113113331 (base 5) to base 7.\nAnswer: 4263400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -314013.99871 + 314012. Let y = x - -2. What is y rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.06207 + 0.06207. Let f = 4 + -7. Which is the biggest value?  (a) t  (b) 5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 + 37 + 17*c**2 - 3*c - 19*c**2 in the form n*c + o*c**2 + y and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 809315 and 809315?\nAnswer: 809315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 5*l + 4. Let d = -17 + 12. Let x be c(d). Let q(m) = -5*m - m + 5*m + x*m. Let z(y) = -y**2. What is z(q(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 6*b**2 - 2*b**2 - 2*b**2. Let p(w) = -7*w + 57. Let t be p(1). Let s(q) = 48*q + t*q - 143*q + 40*q. What is s(h(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71825, 71827, 71829?\nAnswer: 71831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - 8\/(-6))*-6. Suppose -122 = -y*l + 18. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146.33364 seconds to minutes.\nAnswer: 2.438894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (52\/130 + (-39)\/65)*(-185)\/(-4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -36, -101, -212, -381, -620, -941?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13142 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a + 12. Let j be t(6). Let n(q) be the third derivative of 1\/6*q**4 + j*q**3 - 1\/21*q**7 + 0*q - 1\/30*q**6 + 3*q**2 + 1\/6*q**5 + 0. Factor n(i).\nAnswer: -2*i*(i - 1)*(i + 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -12, 3, -3, -3\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 7*w - 71. Determine k(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153) + -1 + -3 + -2*sqrt(17).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 792\/3 - (3\/1 + 1). Let w = -236 + a. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2277 = -13*g - 223. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*sqrt(99))\/(6*(sqrt(9) - -2*sqrt(9))).\nAnswer: -5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1060 and 16655144?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((22\/(-44))\/((-2)\/22))\/((-1)\/4). Let k(i) = 12*i**3 - 12*i**2 + 10*i. Let j(g) = -g**3 + g**2 - g. Calculate v*j(a) - 2*k(a).\nAnswer: -2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9399411 + 14*j**3 - 28198228 + 9399408 + 9399409.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9602\/15 + -640. Let x = 5 + -9. Put 2, 2\/11, p, x in ascending order.\nAnswer: x, p, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/1 + 143634\/(-2588))\/((-3)\/(-4)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 24*r - 14*r + 9 - 13*r. What are the prime factors of j(-11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*r**2 - 55 + 55 - 16*r**2 - 40*r**2.\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -224242421 - 542?\nAnswer: -224243403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*a = 169, 5*a + 3 = 2*a. Suppose t = 5*v + 13. Solve -4*s - 3*k - 30 = -v, s = 2*k + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 12:16 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*o + 1964 = 330, 4*m - 1640 = 2*o. Let t = -327 + m. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2377 in -0.4, 1\/7, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 101598 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23987 and 19941.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -6*g. Suppose -3*j + 141000 = 3*b - 0*b, -5*b = g. What is j rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.1 + -0.1. Let q = g - 6. Let z be (-10)\/5*3\/18. Which is the smallest value?  (a) 1\/4  (b) z  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-4)*(-10)\/1. Suppose 7*j - m = 6*j. Suppose -17*z - 12 = -j*z. Sort 0.2, z, -2\/5 in increasing order.\nAnswer: -2\/5, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 75.3189 weeks?\nAnswer: 45552870720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -25b9?\nAnswer: -25b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000369823869 to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-6) - (231\/126 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*r = -44, 0 = 5*k - 5*r - 67 - 3. Let a = 18 - k. Solve -1 = 5*z + s - a, z - 5*s + 25 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -25113840?\nAnswer: 25113844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, 0.2, -242, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 5*v - 3 = 0. Let b be (-4 + -96)\/(-4 - v). Suppose -b = d - 3*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: Convert 60.50401ug to milligrams.\nAnswer: 0.06050401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*i**4 + 13868*i**3 - 26456*i**2 + 14932*i - 2296 = 0.\nAnswer: 1\/4, 2\/3, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 3*c - 6 = 0. Let j = 25.423 + -0.523. Let l = -25 + j. What is the nearest to -1 in -3, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 31  (c) 0.47  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -498 (base 12) in base 7?\nAnswer: -2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 7*k**2 + k - 5. Let z be t(7). Solve -f + 4 - 3 = z*r, 4*r = 4*f + 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 - 11 - (-78 + 148) - (-1 + 25)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 1920.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000744453318 rounded to seven decimal places?\nAnswer: 0.0000744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28164 + -2652. What are the prime factors of a?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2872 (base 14) in base 11?\nAnswer: 5416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 141, 532, 1179, 2088, 3265?\n\"Answer: c**3 + 122*c**2 + 18*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-5 + (sqrt(3) - sqrt(12)\/sqrt(4))))**2 + 1 - ((sqrt(3) - (sqrt(3) - sqrt(15)\/sqrt(5))*-3) + sqrt(18)\/(sqrt(6) - (sqrt(6)*-2 + sqrt(6))))**2.\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 2. Let q(i) = 3*i + 1 + 0*i - r*i. Suppose -57*v + 62*v - 20 = 0. Calculate q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrs. Give prob of sequence sl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1349, -2705, -4069, -5441, -6821, -8209, -9605?\n\"Answer: -4*o**2 - 1344*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.888 + -10.0445. Let x = f - -8.922. Let z = x - -5. Round z to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence furu when four letters picked without replacement from {r: 2, f: 6, a: 1, i: 3, u: 7}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 264601, 264606, 264609, 264610, 264609?\n\"Answer: -j**2 + 8*j + 264594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -17664 divided by -40567\nAnswer: 17664\/40567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/(-14) - (-2)\/(-1). Let t = 2 + -2.2. Let w = 2.8 - t. Do w and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -5*n + 125, -5*n - 4*p + 2*p + 122 = 0. What is the highest common factor of n and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 2\/3, -80034?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/511004 and -59\/26?\nAnswer: 511004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 632184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 551 and 1372104.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 16*b**3 + 7*b**2 + 20*b + 13. Is k(5) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, r: 6, x: 1, d: 1, h: 2, q: 2}. Give prob of sequence xp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sststssttsts. What is prob of picking 2 t and 2 s?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3583 - 3583 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.56328214 - -0.43671846. Let m = -9 - -18. Let n = m - p. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kddodqr. What is prob of picking 1 o and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 32) + 0 + -1 + (-21 - -30)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2. Let a(p) = -p. Let k(f) = -f. Let w(r) = 4*a(r) - 3*k(r). Calculate w(o(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 2:59 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/2800 and 47\/3200?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -363*q**2 + 50*q + 118. Calculate b(-2).\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 984 and 562.371?\nAnswer: 421.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p*p\/(p\/(p\/(p\/(p*(p\/(p\/p**3)*p)\/p*p))))))**(-39)*p**3*p**(1\/5)*p)**(2\/139))**(-2\/155) assuming p is positive.\nAnswer: p**(-3984\/107725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -289.3 or -0.004842?\nAnswer: -289.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + t - 18 = 0, x - 4*t + 227 = 190 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-489472)\/(-42064))\/(8\/22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (-1 + (3 - 1)). What is the units digit of 3 - 4 - (n - 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-16 + 11 - -6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 64672 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 i(n) = -n**2 + 4. Let f(j) = -j**3 + 2*j**2 - 15. Calculate 4*f(v) + 11*i(v).\nAnswer: -4*v**3 - 3*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*((0 - 1 + 3)*(-s + 3*s - 4*s) + 1 - s - 1 + (-9 + 9 + 13*s)*(38 - 24 - 26) - 2 - 4*s + 1 + 6*s).\nAnswer: -318*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1, -14, -43, -94, -173?\n\"Answer: -a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2495.6  (b) 2\/11  (c) 4  (d) 57\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10856 and 10384?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6*(104\/27144)\/(5*(-5)\/(-75))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**3\/s*s)\/(s**(-2\/7)\/s)*s**(-1\/2)*s**(-2\/13))**0)**(-4) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/2, 18, -2\/5, 0.25, 4.8, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 10 + 40. Suppose -5*z + w = -0*z. Suppose 13 = 6*j - 3*j - z*f, -3*j + 23 = -4*f. Let c(o) = -12*o**3 + o**2 - 1. Give c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/3517 and -3\/5?\nAnswer: 17585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1186306740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 divided by -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(55)\/(sqrt(5) + 2*sqrt(5)) + 4.\nAnswer: 1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/6)*u**(-1\/7)\/u)**(-31)\/((u**9*u*u**2)\/(u\/u**(-8)*(u\/(u\/(u*u\/((u*u\/u**(-2\/11))\/u))))\/u)) assuming u is positive.\nAnswer: u**(17285\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 3*i - 5*i - 7 + 2*i - 37*i**2 as w + n*i**2 + b*i and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44081735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 52284860 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 222 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.4 - -0.2. Let t = 0.542 - 0.532. What is the closest to a in -2, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**4\/6 + 101*d**3\/6 - 763*d**2\/3 + 1328*d\/3.\nAnswer: -d*(d - 83)*(d - 16)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 7*u**2 - 3*u - 11. Let l be d(6). Suppose -o = 3*p, -5*o + l*p = 3*p. Suppose 5*r - 4*m = -o*r - 77, 5*r = m - 68. Which is bigger: r or -17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-12)*n*(n*n**(-7))\/n)**22\/((n**1)**(4\/7))**(-8) assuming n is positive.\nAnswer: n**(1110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h - 5*h - 3*h**2 - 10*h + 6*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8578945?\nAnswer: 5, 1715789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1344 = -119*y + 127*y. Put 0.06, 0.4, -4, -0.5, y in decreasing order.\nAnswer: y, 0.4, 0.06, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + q + 12 = 0, -4*i + 2*q + 4 - 12 = 0. Let r(a) = 2*a**2 - 12*a + 15. Let m be r(5). Sort 1, m, i.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -423233130 + -3?\nAnswer: -423233133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/358 and 79\/476498?\nAnswer: 476498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -2.5. Suppose -3*u + 5*y + 3 = 0, -2*u = -0*u + 4*y + 20. Which is the second smallest value?  (a) -1\/4  (b) t  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -0.006, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (14 - (11 + 9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3538, -6241, -8924, -11587, -14230?\n\"Answer: 10*y**2 - 2733*y - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 98*o**3 - 3*o. Let s(d) = -2*d**3 - d. Determine -j(c) + 3*s(c).\nAnswer: -104*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, f: 2}. What is prob of sequence zfzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 12*b**2 - 15. Let v(a) = -35*a**2 + 44. Let d(s) = 3*v(s) + 8*z(s). Differentiate d(g) with respect to g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 1466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*f - 26, 29*q - 25*q - 34 = -2*f. Solve -2*a = f*j - 3*j - 16, 5*j - 20 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -11703*m - 81714. Give v(-7).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1201101110002 + -2?\nAnswer: -1201101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 5*d**4\/24 + d**2. Let h(c) = c. Let f(p) = 4*p. Let x(y) = 3*f(y) - 14*h(y). Calculate x(u(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 411, 416, 517, 762, 1199?\n\"Answer: 8*z**3 - 51*z + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -3, 5, -4, -147952 in descending order.\nAnswer: 24, 5, -3, -4, -147952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15\/4?  (a) -0.4  (b) -5  (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 81853, 163697, 245541, 327385?\nAnswer: 409229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5535*c - 41582 = -156624 + 49006 - 171969 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2 - z - 4. Let s(x) = x. Calculate o(w) - 3*s(w).\nAnswer: -4*w**2 - 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*w + 2*w - 20*w - 69*w - 2.\nAnswer: -103*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**(-1)*j*j*j*j)**(-8)\/(j**0)**(-7\/4)*((j*j**4*j*j)\/((j**8*j)\/j))**(-6\/17) assuming j is positive.\nAnswer: j**(-674\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1619227 * -221\nAnswer: -357849167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 461*w**2. Let s(k) = -2*k**2. Give s(z(v)).\nAnswer: -425042*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100120121111 (base 3) to base 14.\nAnswer: -4c9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 19*x**2 - 6*x + 6. Let d be n(-7). Suppose 0*a - 4*a + d = 5*g, g = a - 256. Suppose -6*v + a = -5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i + 17. Determine o(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18\/7, 21, -1, 3, 4, -3 in increasing order.\nAnswer: -3, -1, 18\/7, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 2 = -3*x. Let t be 96\/7 - x\/(-7). Suppose 2*z - c - 68 = -5*c, -2*c = 4*z - 118. Calculate the greatest common divisor of t and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 320, 216, -94, -718, -1764, -3340, -5554, -8514?\nAnswer: -12328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2 - 28030150*o - 28030151.\nAnswer: (o - 28030151)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8715.045 kilometers to meters.\nAnswer: 8715045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/((-48)\/20 - -2). Let h be (u + 17)\/(2\/22). Let j(b) = b**3 - 3*b**2 + 4*b. Let p be j(3). What is the greatest common divisor of p and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34433 (base 10) to base 15.\nAnswer: a308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84876*l**3*v**2 + 611679*l**3 - 2*l**2*v + 2*l*v**2 - l wrt v?\nAnswer: -169752*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-11)\/(-55) - 9\/20. Let z = 6.98 + -7. Put s, 3\/7, z in descending order.\nAnswer: 3\/7, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(27)*-1 + sqrt(27) - (sqrt(27) + sqrt(27)*-1)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4687455842 and -0.3.\nAnswer: 0.1687455842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53\/(-143100)*-72*(-6)\/(-4).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z\/(z*z**(-1\/4)))\/z)*z**7*z*(z**(1\/2)\/z)\/(z*z*z**3\/z) assuming z is positive.\nAnswer: z**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4771, -4593, -4321, -3955, -3495, -2941?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 3*w**2 - 3*w - 7. Let b be m(5). Let t = 111 - b. What is the remainder when t is divided by (0 - 2)*(17 - (14 - -10))\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 11:18 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 65. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -128439884, -128439889, -128439894, -128439899, -128439904?\n\"Answer: -5*o - 128439879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-13 + -7 + -7 + -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -288 + 309. Let g be 7 - (5\/5 - -2). What is the smallest common multiple of y and g + ((-10)\/(-1) - 2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*j + 86*j - 28*j**2 - 6*j**2 + 43*j.\nAnswer: -34*j**2 + 89*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**3 - 9*g**2 - 2*g + 9. Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5286 + -8113907\nAnswer: -8108621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/420)\/((6\/2)\/(-18))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -108216 and -177.\nAnswer: -108393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t*t*t**19*t))\/(t\/t**(-3\/10)))**14 assuming t is positive.\nAnswer: t**(-1631\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2192498*x**5 - 127*x**2 + 1837*x?\nAnswer: -131549880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f + 2. Let u be z(3). Suppose u = -0*t + t. Suppose t*q + 17 = 2*s - 27, -s + 13 = 2*q. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 83*x + 20. Let p(m) = 32*m + 7. Let l(u) = -8*p(u) + 3*r(u). What is l(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + l - 2. Let y be -4 + (1 - -6) - -22. Suppose -21*w = -y*w. Determine t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 7*v**2 + 3*v - 9. Let l be i(7). Suppose -m + l = 2*m. Suppose b = -m + 8. Solve 0 = -w - t - 6, -15 - 1 = b*w - 4*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 740 divide 2320806240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -459 - 462 + 11*m**2 - 312 + 1233. Let s(a) = 1204*a. What is f(s(h))?\nAnswer: 15945776*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -1) + -2 - -5. Let p = 137 + -282. Let s = -153 - p. Sort 4, -5, a, s in decreasing order.\nAnswer: a, 4, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 194, 381, 564, 743, 918?\n\"Answer: -2*u**2 + 193*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1911836949?\nAnswer: 3, 11, 17, 3407909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266*i + 1 = g + 268*i, 4*i = -g + 7. Let k(u) = u**2 + u. Let v(q) = -4*q**2 + 4*q + 18. Let x(c) = 5*k(c) + v(c). Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37767.06ns in seconds?\nAnswer: 0.00003776706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from yssyggmmyysyysyqm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 5*k - p, -4*k = -k - 5*p - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 276470123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + j + 2 = -2, -l - 5*j = -28. Suppose l = -4*z - 0*z. Let x(d) = d. Let i(n) be the second derivative of n**3\/2 + n. Calculate z*x(f) + i(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4473922 by 2236961.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 4:42 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22637*t*y - 5878*t + y - 1 wrt y?\nAnswer: -22637*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + (-9 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/(-196)*(14\/8)\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f**5\/2 + 473*f**4 - 1899*f**3 + 952*f**2 + 3797*f\/2 - 1425 = 0. Calculate f.\nAnswer: -950, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9135 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6201 and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/16)\/((-14)\/(-35)*(-5)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -17*x**6\/360 + x**5\/120 + 7*x**3 - 13*x. Let y(u) be the second derivative of q(u). What is y(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*t = -40, 2*h + 9 - 25 = -5*t. Let p = -4 + h. Let d = -4 + 5. Which is the nearest to 1\/4?  (a) d  (b) p  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 21*t - 1. What are the prime factors of n(-15)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-18) - 101\/(-9). Let u be q\/22 + (-28)\/(-8). Solve -u*n = -n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.797 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27*r**2*v + 762*r*v - 396651*v wrt r.\nAnswer: -54*r*v + 762*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asttasdrrstrkttkrkt. Give prob of picking 1 r, 1 t, and 2 k.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 1 = -41. Suppose -5*p + 4*l = -9, -5*p - 2*l + 3*l = -6. Let y(n) = 5*n - 27. Let b be y(p). Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, d: 2}. Give prob of picking 4 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (22 - 1 - 3 - 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i\/(i**(-1\/2)\/i*i))\/i)\/i**(-2\/3))**41 assuming i is positive.\nAnswer: i**(533\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211022112 - -10002?\nAnswer: -211012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -374 = 66*f - 506. Which is the closest to f?  (a) -4  (b) -1.4  (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - w = -y + 7, -3*y - 14 = 4*w. Solve 2*d + 2 = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-1064.8938.\nAnswer: -319.46814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.12787 and -0.4?\nAnswer: -0.051148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1083.4 - 1085. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-14))\/(27\/252*2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1*(14 - (3 + 16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*(1 + (1*sqrt(1200))**2).\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 14*p**3 - p**2 + 2*p + 3. Let y be z(-1). Let w be (6\/2)\/((-77)\/y). Which is the biggest value?  (a) w  (b) 0.1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**2 - 8*p**2 + 9*p**2 + 0*p**2 as y*p**2 + s + o*p and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 367*u - 712*u + 55 + 347*u. Give j(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 970 - 970. Suppose 5*c - w - 41 = f, 0*c - 4*c = -2*w - 28. Solve 5*x - c = 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/464 and -97\/16326.\nAnswer: 3787632","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*q - 8, 5*r - 16 = 4*q - 2*q. Suppose -2 - 2 = r*u. Are u and -1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + v + 8*v)*(4*v**4 - 5*v**4 + 4*v**4) + (4 - 4 - 2*v**3)*(-9*v**2 + 1 - 3*v**2 + 19*v**2).\nAnswer: 7*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m\/m**(-4)*m))**(2\/27)*m**(-2\/9)*m**(-15)\/m assuming m is positive.\nAnswer: m**(-446\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40, 46, 52, 58, 64?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, -5, 33?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 32*v**2 + 5*v - 76. List the prime factors of s(-35).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2626601 millilitres to litres.\nAnswer: 0.0002626601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 38, 43, -2, -127, -362?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 3 - 2*g - 8*g + 3*g. Suppose -i - 3*j - 48 = -29, 3*i = -4*j - 32. Determine b(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 254 and 90805.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11001, -20175, -29351, -38529, -47709?\n\"Answer: -j**2 - 9171*j - 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*x - 20 = 0, 0*p = -p + 2*x + 8. Suppose p*f = -13*f + 1365. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.45 + 3.85. Which is smaller: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*5\/4*9\/(-39825)*-60.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2. Let m(r) = -11*r**2 + 13*r - 39. Suppose 2*b - 13*b = -858. Let w(k) = k - 3. Let c(q) = b*w(q) - 6*m(q). Determine c(o(s)).\nAnswer: 66*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(6\/13))**(-30\/11)*(a\/(a*a\/a**(-3)*a))**(8\/17) assuming a is positive.\nAnswer: a**(-15410\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, -1\/3, -0.1, 1198, 7435, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4038)\/9 - (-4)\/(-12)) + -1. What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from rilieiiiiiin?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.697 and -6.\nAnswer: -7.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*y - 30. Let l(o) = 27*o - 40*o + 3 - y. Let a(k) = 6*k - 1. Let h(g) = 5*a(g) + 3*l(g). Differentiate h(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**6\/100 - 283*d**5\/30 - 196*d**4\/5 - 188*d**3\/3 - 1257*d**2. What is t in v(t) = 0?\nAnswer: -470, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(110)\/sqrt(810))**2 + (4 + sqrt(1331))*5.\nAnswer: 1955\/81 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.95206416 - -105.04849384. Let u = -106 + m. Round u to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18b (base 12) to base 5.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 111 = 3*g, 2*y - 4*g - 95 = -21. Let x = y - 479\/13. Let t = -0.2 - 0.4. Sort t, 3, x in descending order.\nAnswer: 3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56496 is divided by 7062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**2. Let y(q) = 22*q**2 + 192*q**2 - 41*q**2 + 101*q**2. Calculate h(y(b)).\nAnswer: 150152*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.288200483 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s**2. Let f(d) = 7660252*d. Give g(f(h)).\nAnswer: 176038382110512*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1150 divided by 4562.\nAnswer: -575\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -52 + 4. Calculate the remainder when 89 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 8:06 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/6 and (2 - (-81)\/4)*(-8)\/(-132)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1731 + -1595. What is the greatest common divisor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001 plus 4172583?\nAnswer: 4172583.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 7*y - 10. Suppose -2*q - 19 = -y*k, q + 0 - 4 = -2*k. Suppose 0 = 4*j + k*b - 7376, -5*j = -2*b - 4770 - 4473. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 14) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fmm when three letters picked without replacement from mmfmmmmmmmffff.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2575620 is divided by 886.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19389 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 0 + 0\/2 + 24. Suppose u = t - 24. Let p(j) = 2*j**2 - 6*j - 1. Let n(s) = -s**2 + 3*s + 1. Let r(m) = 5*n(m) + 3*p(m). Determine r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*r + 3*w, -5*w - 41 = -5*r - 16. Solve -3*d = -15, -y + r*d + 19 = 8*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100111111001 (base 2) to base 8\nAnswer: 4771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*d - 20*d + 12*d - 53*d + (-1 - 1 + 0)*(-4*d + 2*d + 0*d) to the form b + k*d and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z - 2. Let y be l(-5). What is the greatest common divisor of 32 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - 22*i - 18. Let m be w(23). What is the third derivative of 1345 - 15*a**m - 1345 + 13*a**2 wrt a?\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 413 = -2*n + 6*w, 0 = 3*n + 4*w + 592. Let y be ((-32)\/48)\/((-2)\/n). Let t be 2 + y*2\/(-4). Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1319552 and 1464.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31346 + -31359.456. What is d rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a**2 - 3*a**2 - 3*a**2)*(5*a + 11*a - 1 - 21*a) in the form c*a + p + b*a**2 + y*a**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 4, -3, 2 in descending order.\nAnswer: 5, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5333768 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: b\"What is the zth term of 69, -19, -117, -231, -367, -531, -729?\n\"Answer: -z**3 + z**2 - 84*z + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6062745 and 9045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 203998994.7 to the nearest 100000.\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/371680 and 107\/1997780.\nAnswer: 15982240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 7*s**2 - 4*s + 5. Let c be a(-8). Let w(j) = -4*j + 36. Let r be w(c). Calculate the highest common factor of r and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*c + 5*a - 41 = 0, 5*c - 43 = -2*a. Let o be 8\/(-6)*(-6)\/2. Solve 5*q - c*f - 31 = -3*f, o*q - 28 = 4*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -147.21, -0.1.\nAnswer: -147.21, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -209 - 5?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 367*w - 3*w**2 - 367*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/32 + ((-4699)\/444)\/((-74)\/(-3))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u - u + 2*u)*(-13*u**2 + 2*u**2 - 7*u**2) - 11*u + 11*u + 4*u**3.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(150\/12 + 3). What is the closest to 1 in o, -3\/4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 777048 = 4537*g - 4513*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5456 + 245*w**2 - 490*w**2 + 245*w**2 + 2*w**3.\nAnswer: 2*w**3 + 5456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 301897078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28088 is divided by 376.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1511 - 231.0511. Let i = 58.2 + -275.2. Let s = y - i. Round s to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 434315, 1737240, 3908793, 6948980, 10857807, 15635280, 21281405, 27796188?\nAnswer: 35179635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*z**4 + 23 - 7 + 0*z**4 + 13*z**4 with respect to z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*d**2 - 79*d + 79*d to the form o + v*d**2 + c*d and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.114*-74.\nAnswer: -8.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 - 14*h**2 + 29*h - 48. Let w be f(-16). Let m = 0 + 2. Solve 4*n + w*n + 12 = 3*c, -3*c = -m*n - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40260 (base 8) to base 13\nAnswer: 76cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -526\/3 + 7139\/42. Find the common denominator of p and -85\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from ryymprrryyyrrrrm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h**2 + 8*h + 5. Let g be n(3). Let f(m) = m**2 + 5*m - 13. Let z be f(g). Sort -5, 5, z, 3.\nAnswer: -5, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4193 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 25*h**2. Let o(j) = 42217*j + 4. What is o(w(a))?\nAnswer: 1055425*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 40 = 2*h, 40 = 2*j - 2*h - 3*h. Suppose -4*q - j = 0, b + q = -4 - 4. Let y(x) = -x**2 - x. Let t(i) = 12*i**2 + 15*i. Give b*t(m) - 45*y(m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -734 - -1046. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3379 * -6.1\nAnswer: -2.06119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d - 1. Let j(s) = 62*s**2 - 3*s. Give j(q(o)).\nAnswer: 248*o**2 + 254*o + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 13. Let j = -0.38 - -0.2. Let g = j + 0.58. Which is the closest to g?  (a) 1  (b) -4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 12:59 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2681 or 2746?\nAnswer: 2681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3939449, 15757771, 35454959, 63031001, 98485885, 141819599?\nAnswer: 193032131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -63739*c**2 + 855*c**3 + 3*c**5 + 12*c**5 + 600*c - 200*c**4 + 62469*c**2 = 0. Calculate c.\nAnswer: 0, 1, 4\/3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + 5 + 1 + sqrt(425) + sqrt(425)*-1*-5 + 3 + -4))**2.\nAnswer: 1620*sqrt(17) + 137781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 621206 divided by -1181\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-61920)\/(-78260)*(-28)\/16*26\/(-33).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (0 - 5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -734*j - 2483 - 8527 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 5*s - 26. What is p(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84992 and 2822.\nAnswer: 1444864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -43*t - 2. Let y be c(-10). Factor -1072*m + 116*m**2 + 580*m**2 - 284*m**2 - 36*m**3 + y*m**2 + 352.\nAnswer: -4*(m - 22)*(3*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5*i - 6. Let a be i*(-1)\/2*-41. Suppose -221 + a = -4*x. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 896*c - 336741 + 336741 in the form v*c + m and give v.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 17*x + 15. Let q be v(-18). Let f = 20 + q. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12496921313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1121714 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 7*o**2 + 884*o - 1634. Calculate w(-128).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*m + 5 = 6*r, 5*m - 19 = -3*r. Let u be 5\/r*(-5 + 2\/(-10)). Suppose u*h = 7*h + 48. Calculate the greatest common factor of h and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 3*n**2\/2 + 5*n - 1. Let o be x(5). Let m be 4\/(-10) - (-3)\/o. What is the closest to -1\/3 in m, -0.5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3047 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -k**6\/1620 - k**5\/270 - k**3\/3 - 2. Let n(c) be the third derivative of u(c). Factor n(q).\nAnswer: -2*q*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1444 divided by 361.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 8, q - 13 = -2*j + 18. Let r(o) = -o**3 - 3*o**2 + 3*o - 2. Let c be r(-4). Suppose l - q = -c. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236540350.\nAnswer: 2, 5, 4730807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5137, 10070, 14801, 19330, 23657, 27782, 31705?\n\"Answer: -101*o**2 + 5236*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-858)\/(-2145)*1\/(-2))\/((-1)\/(-415)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - -11. Let h = -7388 - -7471. What is the remainder when h is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*(-4)\/(-72))\/((-2)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98363 and 501?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 425 = -z + 6*z. Is z*2*6\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 83, 88, 95, 104, 115?\n\"Answer: l**2 + 2*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*b - 12 = 0, 3*h = -2*b + 4. Let c(m) = 7*m - 6. Let n be c(h). Suppose 5*k = 38 + n. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 516.79 - 514. Let k = x + -2.6. What is k rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/139 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, z: 4, g: 1, p: 1, i: 9}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-1)\/6*37\/((-222)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 - 366 = 58*q. Which is the smallest value?  (a) -2\/7  (b) q  (c) -35  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -t**2\/3 - 37241*t = 0.\nAnswer: -111723, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 452221 is divided by 4522?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3190 is divided by 317?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2 = 4, 3*d - z - 66 = 0. Suppose 18*g + 2780 = d*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 81809 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1312442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 800696 is divided by 6618?\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4121389369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -218*s + 667 - 7207 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/9 and -36\/3887.\nAnswer: 34983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s**(1\/3)*s)\/s)*s**(-3)*s)\/(s\/(s\/(s\/(s**(-2\/5)*s))))**(-13\/2))**(-3\/7) assuming s is positive.\nAnswer: s**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 272 - 177. Let j = 29.5 - 98.4. Let y = j + c. Round y to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(3\/4)*f\/((f**(1\/2)\/f*f)\/f*f))\/((f*f\/f**(-2\/9))\/(f\/f**(-4))))\/((f**1)**(-11)*(f**1*f)**(-34)) assuming f is positive.\nAnswer: f**(2989\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -107763*x**5 + 26*x**3 + 3*x**2 - 9900*x + 10599 wrt x.\nAnswer: -2155260*x**3 + 156*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 553244002?\nAnswer: -553244005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2424612 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: ((-9)\/(-18))\/(4\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 2 - 3 = 3*l, -j = -4*l. Suppose 0 = m - 5*m - 2*a - 2, 2*m - 3*a = 11. Let r = 12 - m. What is the smallest common multiple of l and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3*r + 32 = 0, -2*r + 8 = 3*n - 12. Determine b, given that -b - 4*b**4 - 2*b**2 + 0*b**n + 2*b**4 + 4*b**2 + b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 11*u**4 + 2*u**3\/3 - 3*u**2\/2 + u - 23. What is the remainder when 175 is divided by g(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3665 + 1?\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/6811 < 65183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9032 and 29354.\nAnswer: 117416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*p - 3906863 + 436860 = 0, 3*p = 5*d - 17349997. Round d to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 + 0*z**2 + z**2)*(2*z**2 + 5*z**2 - 5*z**2) + 3*z + 0*z - 2*z**4 - z.\nAnswer: -6*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 1. Let m(d) = -d**2 - 8 + 8 + 7*d + 0*d. Let i be m(5). Solve -x + 3*x - i = w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/3)\/(-3) - (27 - 28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 178907*k**2. Let z(n) = -2*n. Calculate m(z(y)).\nAnswer: 715628*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 12:35 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 58*n - 48. Let m(w) = -7*w. Let c(d) = 8*m(d) + v(d). What is c(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1420784542 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -2\/2175, -1 in descending order.\nAnswer: -2\/2175, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (4 + -2 + -15) - (246 - 219)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**5 - 825*n**4 - 4191*n**3 - 2547*n**2 + 7560*n = 0. What is n?\nAnswer: -3, 0, 1, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 10*z + 9. Let c(u) = -5*u - 4. Determine 5*c(g) + 2*w(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -44, -43, -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 303*w**2 + 80904*w + 805. Determine n(-267).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37.79 + -38.69. Sort 0.3, 14, j, -1.\nAnswer: -1, j, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j**2 - j + 1. Let h be -1 + -2 + -2 + 2 - -4. Give l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 - -39 - (4 + 0 + 2 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -13 + 9 + 0 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -147 - 54*d + 162 + 6*d to the form o + s*d and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2 greater than or equal to -8.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3 = -6. Suppose -3*n + 113 = 4*z, -z + 5*z + 5*n = 119. Suppose i - m = z. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hgg. What is prob of sequence hg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 3*o + 12. Which is the nearest to -1?  (a) 5  (b) 1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -25.145 and -90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22\/31 - 348\/403. What is the second smallest value in q, -3, 5\/4, 0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 4*l**2 - l. Let i be g(4). Let p be -1*(-3 + 68\/32) + 82\/656. Let x(o) = -1. Let z(n) = -2*n - 6. What is i*x(a) + p*z(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-14) - (-315)\/(-147).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 7 - 3. Suppose -22 - 5 = 3*d - 3*a, -c*d - 5*a = 4. Let q = 6547 - 6544. Sort d, q, -1.\nAnswer: d, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -33, -81, -179, -345?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 79*r - 78*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, o: 2, f: 3, v: 9}. What is prob of sequence fvmf?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/54 - 68\/(-18). Is i greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*o + 22, o - 13 = -m + 15. Let k(a) = a**3 + 19*a**2 + 34*a. Let r be k(-17). Solve r = -l + 5*y - m, -4*y = y - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - f - 33. Calculate j(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -i**6\/12 + i**4\/12 + 5*i**2. Find the second derivative of j(d) wrt d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -5*l - 2. Suppose -80 = 6*k - 92. Let u(v) be the first derivative of 18*v**2 + 15*v - 1. Determine k*u(c) + 15*s(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*f - 5*m, -3 = 5*f + 5*m + 17. Suppose 44505 = 5*q + o - f*o, -5*q + 44480 = -4*o. Round q to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32286886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126 and 1306515?\nAnswer: 7839090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4*n + 2905 = -2*n, a - 573 = -2*n. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 674*u - 643*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j**3 + 11*j**2 - 2*j - 5. Let k(p) = -2*p**3 - 5*p**2 + p + 2. Let u(a) = -6*i(a) - 14*k(a). Give u(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -72 + 150. Suppose -7*g + o = 6*g. Suppose -j + 13 = -g. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**2 - 40*r + 2. What is n(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1445323*z**3 - 1936033*z**2 wrt z.\nAnswer: 8671938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7*(0\/(-4) + 1). Is 4 - ((-4 - j) + -640) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**3 - 26*w**2 + 22*w + 81. Give b(-14).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*m - m = 36, 2*i - 4*m = 12. Suppose 0 = 5*b + 2 - i. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2119*r**3 + 35*r**2 - 7*r - 7. Let g(q) = -197067*q**3 - 3260*q**2 + 652*q + 652. Determine -7*g(l) - 652*i(l).\nAnswer: -2119*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-20)\/(-190) - 267\/(-171) and 127\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 164.78 + -170. What is p rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1036*d**6*g**2 + d**6 - 2*d**2*g**2 + 187*d**2 + d*g + 3*g**2 wrt d?\nAnswer: 124320*d**3*g**2 + 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200*f - 2*c = 202*f - 6, -23 = -f - 5*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-18)\/8)\/((-9)\/24). Let f be (-5)\/100*q*(-4)\/54. Is f at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*42\/11412*(-16)\/(-28). Is 0 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -230743985\/4028 + 57285. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 90\/(-20) + (-2)\/(-4). Which is smaller: d or -75\/28?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 7731.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -126410660, -126410670, -126410680, -126410690, -126410700, -126410710?\nAnswer: -126410720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -4\/309, 3, -4?\nAnswer: -4\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0016174695 rounded to 6 dps?\nAnswer: 0.001617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**4 - 56*d**2 + 4*d**3 - d**4 + 2*d - 3*d + 6 + 55*d**2 in the form c*d**4 + o + h*d + w*d**3 + b*d**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 7:14 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/26 in 3\/2, -1\/18374, -1\/3?\nAnswer: -1\/18374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49 - 21. Calculate the greatest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -742, -2901, -6500, -11539, -18018, -25937?\nAnswer: -35296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k + 11*k - 228 = 0. Let i be (-38)\/(-6) + (-4)\/k. Solve -3*g + i*g = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 8. Let b(o) = -2*o**2 + 15. Let k be 4*(2 - 44\/16). Let n(d) = k*b(d) + 5*p(d). Calculate n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 + 3 + 0)*-1. Let j = 7\/115 + -6\/23. Sort f, j, -2 in decreasing order.\nAnswer: f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1d1b2 + 0?\nAnswer: -1d1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*v + 10*v + 427 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79851311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*x + x - 88 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 329088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (36\/(-15))\/(2\/(-15)). Factor -p**2 + 3*p**2 + 12*p - a - 4*p**2.\nAnswer: -2*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 * -0.04.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 119.16 plus -9308?\nAnswer: -9188.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 12512045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggigggggiigggggi. Give prob of sequence gi.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7375394093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 369, 523, 693, 885, 1105, 1359?\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 12*x**2. Let o(p) = -62*p. Determine o(m(n)).\nAnswer: -744*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 0.03, 4, -3 in ascending order.\nAnswer: -3, 0.03, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 104, 137, 190, 263, 356?\n\"Answer: 10*j**2 + 3*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.5598673 + -0.1.\nAnswer: -2.6598673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - -2.181?\nAnswer: 7.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2220314*t**2. Let z(s) = s. Calculate z(r(i)).\nAnswer: -2220314*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -746000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 10914*y - 87328. Calculate j(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/3 - 227*f**2 + 4*f\/3 + 908.\nAnswer: -(f - 2)*(f + 2)*(f + 681)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2029704427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.353 + 0.647. What is the second smallest value in 8, -1, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/9 + (-6)\/(-27). Is (u - -2156)*3\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 6:54 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*d + 69*d = 7 + 613. Solve x = -d*z - 9, 4*x + 5 = 5*z + 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + m - 1. Suppose -178*a - 8 = -170*a. Let i(v) = -10*v**3 + 6*v - 6. What is a*i(y) + 6*p(y)?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1209613*f**4*h - 2*f**3*h**2 - 28*f*h**2 + 244*f*h + 2604*h wrt f.\nAnswer: 14515356*f**2*h - 12*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/7812 and 53\/12771.\nAnswer: 11085228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + x - 6 - 3 = 0, 11 = 3*u + 2*x. Let l be -4 + 30\/5 + (-3)\/2. What is the biggest value in -0.5, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjovvjj. Give prob of sequence ovjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*p - 4, 2*p - 2 = -8*j + 10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3254 (base 13) to base 12.\nAnswer: 4072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 9*h**2 + 3*h - 15. Let t be r(9). Calculate the highest common factor of t and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 417.6 and -6798.\nAnswer: -6380.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*a - 85*a - 49*a.\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299438693?\nAnswer: 299438693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 397*j - 1221*j + 434*j + 390*j + 11*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 67 + (3 - (1 - 0 - 11)) + -165 + 148.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24443272421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 10*t**2 + 3. Let y = 14 + -24. Let i be c(y). Solve -b + i*b + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 9:35 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -6*f**2 + f. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1725259*f - 1382576 wrt f?\nAnswer: -1725259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0080013 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-3) + (-56)\/21. Let a be (-5 - (0 + r)) + 26. Calculate the greatest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -148 * -16\nAnswer: 2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7204304 (base 9) in base 4?\nAnswer: 32221311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*y + 15*y + 3*g + 19, 5*g + 25 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 at most as big as -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2686 is divided by 1103.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/9  (b) 4  (c) -1\/3  (d) -14  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11902 + 24345. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3103 times -28?\nAnswer: 86884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*i + 11 = -0*i, -5*n = -2*i + 15. Let p be n\/5 - 11\/(-5). What is the units digit of (-6)\/(p\/(4\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19671264 divided by -48096?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 1, l: 5, v: 2, e: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 55*g**2 - 39*g + 2 + g**3 - 115*g**2 - 6 + 38*g in the form w*g + c*g**3 + l + h*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4*x - 27380 = -1668, -t - 3*x = -12860. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1 + (-175)\/5)\/(728\/(-180) - -4) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -l**2 + 4*l - 3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -15. What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 121 + -59. Suppose 0 = 2*h - x - 98. Let r = h - 38. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3502, 7103, 10796, 14593, 18506, 22547, 26728?\nAnswer: 31061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -0*h - 4, 4*h = 3*m - 4. Let p be 2 + -6 - (-12)\/m. Let i be (-27)\/6*p\/3. Which is the closest to -3?  (a) 0.1  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -5*c + 43, 2*x - 37 = -5*c + x. Let r(f) = -4*f**2. Let t(k) = 5*k**2. Let h(p) = -8*p - 2. Let z be h(-1). Give c*r(a) + z*t(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -3  (b) 1  (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 6 = -r + 2*r, 4*r + 8 = -4*z. Suppose -y + 23 = 3*x, -4*y = -5*x - r*x + 27. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4621, 3959, 3297, 2635?\n\"Answer: -662*q + 5283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*x**2 + 53*x**2 - 5*x**2 + 20*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 26012208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14183 - 596.\nAnswer: 13587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 76740 and 76740?\nAnswer: 76740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.673353 decades to years.\nAnswer: 76.73353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2548*g. Let o(r) = 12135*r + 4*r**2 - 12135*r. Determine s(o(h)).\nAnswer: -10192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -324 divided by 15902.\nAnswer: -162\/7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-42)\/(-10))\/((-51)\/(-15470)*-14))\/((-1)\/(-1))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*x + 9*x - 7688 + 17*x - 71*x + 25*x in the form m + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 22*u**2 + 28*u + 18. Let f(l) = 9*l**2 + 11*l + 7. Let i be (-20)\/5*5\/(-4). Let b(p) = i*o(p) - 12*f(p). Solve b(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5878 + 11a3?\nAnswer: 6a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-9) - (6\/(-27) - 0). What is the third biggest value in x, 0.07, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (29421\/(-315) - (-7)\/5)\/(-2). Solve q + 8 = -9*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40 - 32. Let j be 4*(84\/g - 0). What is the highest common divisor of 63 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a - 818 = 4*a - f, -3*a + 618 = 3*f. Suppose -z + a + 316 = s, -s = 5*z - 512. Is 44 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 23*r**2 + 9*r + 77. Determine f(-23).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f + 720 = -9*f - 0*f. Solve -f = -16*s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-8))\/(c*c**(-8\/3)*c*c))\/(c**(2\/45)*c*c\/c**(-4\/5)) assuming c is positive.\nAnswer: c**(-458\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 0*r + 40. Suppose 42 = -4*d + y, 0 = -d - y - 0*y - 13. Let m = d + r. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 5*l**2 - 274*l - 217. Calculate the remainder when q(57) is divided by 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13 + -22 + (1667 - 11). What is the highest common factor of 54 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3753780 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 116118 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 9285*u - 55760. Calculate h(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/3486*(-948)\/114. Let c = -2\/399 - x. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k - 1. Let s be p(1). Suppose -14 = -5*g - s*d + 7, -3*d = 4*g - 21. What are the prime factors of 18 - (3 - 0 - g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r + 15. Let x(g) = -4*g - 14. Let j(w) = 6*c(w) + 7*x(w). Let n be j(5). What is m in -3\/7*m**4 + 0*m + 0 + 3\/7*m**n + 0*m**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p - 4. Let f(w) = -70*w - 40. Let d(u) = -f(u) + 10*n(u). Let c(j) = 2*j + 2*j - 7*j. Determine c(d(s)).\nAnswer: -240*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + 6)\/((-1)\/(-7)). Let i = -13 + z. Let q = 55 + i. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -q**4 - 90035*q + 700312502 wrt q.\nAnswer: -4*q**3 - 90035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 7429708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -15 - 29 + 2*x - 13 - 22 + 15. Let t(m) be the third derivative of -m**4\/24 - 8*m**2. Give d(t(s)).\nAnswer: -2*s - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53638, -51251, -48864, -46477?\nAnswer: -44090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 50 = -11*n + 2*k, -5*k + k = 5*n + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2100 + 1914 = -6*b, 4*b + 349 = -4*q + 15*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-40)\/(-3)*(-48)\/40. Let j = z + 18. Solve -5*v - 15 = j*g, -5*v + g = 5 + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-2)*(-3 + -13). Suppose -2*y + i = 4*a, -a - a = -2. Solve 2 = y*j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 16*i**2 - 14*i - 3. Let t be b(17). Suppose 0 = v - 683 + t. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 1:02 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 234235?\nAnswer: 234241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*p - 68*p + 96*p + 47*p - 200*p.\nAnswer: -329*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -271645836*d**2*z**2 + 108*d*z**2 + 53*z**2 - 5419 wrt d.\nAnswer: -543291672*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -917090 divided by 183418\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 70 = -50. What is the remainder when d is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 28 = -9*f. Put 3, -2, 0, f in ascending order.\nAnswer: -2, 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -5*32\/72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + y**2 + 1. Let o(j) = 4*j**3 + 116*j**2 - 56*j**2 - 53*j**2 + 6 + 2*j. Let i(g) = 5*b(g) - o(g). Calculate i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -336, -335, -334, -333, -332, -331?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1004934926 to 4 decimal places.\nAnswer: 0.1005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - 12. Let k be ((1 - 1) + 2)*(f + 8). Let b = k + 24. Solve -4*n = -b - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 461523?\nAnswer: 3, 153841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -147 and 337074.45?\nAnswer: 337221.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 32. Let w be (0 - 2)*(v + 8). Suppose -4 = w*f + 2. Sort 4, 0, f in descending order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (41\/(-861))\/((-38)\/18 + 2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 8:45 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 50299.844 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q = 10*q - 16. Let s be 2*((-60)\/40)\/(3\/q). Find g such that 111*g + 104*g + s + 50*g**3 - 127*g + 140*g**2 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 393979652 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 690.2806 litres to millilitres.\nAnswer: 690280.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 5. Suppose 4*g + k*i - 11 = 0, 3*i = -i - 12. Solve 0 = -3*x + g*v - 2, 2 = 2*x - 10*v + 5*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -185.65 less than 914.9237?\nAnswer: 1100.5737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.043 + 83.243. Let o = -83 + r. Put -0.1, o, -3 in increasing order.\nAnswer: -3, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 232 - -383070?\nAnswer: 383312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 177 plus -3087?\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwcvcwvwwccwvwsswvw. Give prob of sequence swww.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 10. Let t be 1 + (1 - n) + -3. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t**2. Let a = 78 - 45. Let z(f) = a*f**2 + 17*f + 19*f - 13*f**2 - 6*f. Let h(i) = i**2 + i. Let q(l) = 30*h(l) - z(l). Give u(q(n)).\nAnswer: 500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of 0*i**5 - 6\/5*i**6 - 281\/6*i**3 + 0*i**2 - 288*i + 0 + 0*i**4. What is the second derivative of q(z) wrt z?\nAnswer: -432*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 + 46 = 3*z + 7 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.928405 grams?\nAnswer: 0.000000928405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 424482 and 5164531?\nAnswer: 30987186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + 0)\/3 + (-4 - -8). Suppose 0 = 5*i - t - 30, s*i = -4*t + 4 + 20. What is the remainder when 76 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2 - 10*z + 16. Calculate the remainder when 29 is divided by m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -39.33  (b) 5  (c) 4  (d) 13\/6  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 19287?\nAnswer: -1928b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 + 38. Suppose -10*y**4 + 8*y**3 + 4*y**5 - 3*y**4 - 28*y + 16*y**3 - 7*y**4 + d*y**2 + 12 = 0. Calculate y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(143) - 1*1*sqrt(143) - sqrt(143)) + sqrt(143) + -5*((sqrt(143)*3 - sqrt(143)) + sqrt(143) - sqrt(143)))\/(1*(sqrt(176)*-2*2 + sqrt(176))))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1915, 1899, 1875, 1843?\n\"Answer: -4*a**2 - 4*a + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 285 = -5*p + 82, 2*p = 2*d - 100. Suppose 2 = -5*w + 4*w. Let s = w + 14. What is the remainder when d is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9973.\nAnswer: 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2187 times 6458\nAnswer: -14123646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5033, 4981, 4929, 4877, 4825, 4773?\nAnswer: 4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.072 - -6.1. Let h = n - -13.972. Sort 0.3, h, 0, -1\/3 in decreasing order.\nAnswer: h, 0.3, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2350 + -2348. Sort m, 12, 5, -11 in descending order.\nAnswer: 12, 5, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 102*j - 335 + 47 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/(-2))\/(3\/(-462)). Let g be 2*-2*(2 + -3). Let o be ((-22)\/g)\/(3\/(-6)). Calculate the highest common factor of o and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 11 - ((-3 - -6) + 33 + -30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 71 - -1fd?\nAnswer: 26e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -223 (base 6) in base 14?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -287 - -886\/3. Calculate the common denominator of l and (-174)\/(-22)*-5*(-1)\/15.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 403893059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, s: 4}. Give prob of picking 3 z.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 859 - 819. Solve -8*s - 8 = -u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 25*i + 6. Let p be h(25). Let s(u) = -u**2 + 8*u + 2. Let y be s(8). Solve -k - y*k = -p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (-37 + 26)) + 65?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of y**3 - 23*y**2\/2 - 5*y. Differentiate l(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.051 not equal to 38471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435062994.\nAnswer: 2, 3, 72510499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iawcwbawwqwai. What is prob of sequence ca?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**4 + 152*o**3 - 1920*o**2 + 8064*o.\nAnswer: -4*o*(o - 14)*(o - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507703184.\nAnswer: 2, 31731449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 17*z. Let a = -183 - -185. Let x(g) = -g**a - 17 + 27 - 10. Give b(x(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 AM and 3:46 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = 0, 4*i = -322*r + 319*r + 130. What is the remainder when 8662 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**8\/168 - i**7\/21 + i**6\/12 + i**5\/6 - i**4\/2 + 31*i**2 - 1. Let o(d) = 0. What is d?\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 AM and 6:25 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1750*s**2 - 6799*s**2 - 8021*s**2.\nAnswer: -16570*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 29\/9 + 4\/(-18). Let m = 781\/2 - 391. Let d = -5 + 3. Which is the nearest to m?  (a) 4  (b) d  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 21 = -4*p. Let t be (-126)\/(-15) - 2\/5. Suppose 0 = -3*q + 5*l + 8, 0 = 5*q - 3*l - t. Sort 2, q, p in increasing order.\nAnswer: p, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 905597.4 nanograms?\nAnswer: 0.9055974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 + -24. Let l = 9 + -5. Suppose 2*q + 24 = l*q. What is the lowest common multiple of c and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 v, 1 u, and 1 a when four letters picked without replacement from {g: 3, e: 3, v: 2, u: 4, a: 3, m: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11683 times 308\nAnswer: 3598364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/2*t - 11\/2*t**2 + 0.\nAnswer: -t*(11*t - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2110021101102201 + 2?\nAnswer: -2110021101102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of 0*h**2 - 1\/3*h**3 + 0*h - 1. Let m(b) be the third derivative of b**5\/30 + b**2. What is m(y(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 9*n = 4*v + 16, 0 = 3*n + 4*v + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-5) - -1)*-15. Let r(y) = -8*y + 3. Let t(x) be the third derivative of -23*x**2 - 1\/2*x**3 + 0 + 7\/24*x**4 + 0*x. What is o*r(h) - 7*t(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 376.3 - 376.2999981973. What is w rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 91 + -89. Is -13 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010011 (base 2) to base 8\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d - 5. Let c be q(-7). Put 1, 5, c in decreasing order.\nAnswer: 5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11866 and 3638.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28dc4c (base 14) to base 11.\nAnswer: 890740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (48\/112)\/(6\/4). Which is the nearest to o?  (a) -2\/9  (b) 3\/4  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.05  (b) -3  (c) 2  (d) -1\/88  (e) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, h: 4, l: 3, x: 10}. Give prob of picking 2 n, 1 x, and 1 l.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 5:54 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/(-35) + 1314\/1755)\/((-3)\/(-18))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -142, 36, -8.408?\nAnswer: -8.408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 3 - 3)*(-2 + 2 - 5)*(-2*w - 2*w + 3*w + (-w + 2 - 2)*(5 + 2 - 1) + 4*w - 4*w + w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 973 a factor of 29112006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50150 and 41123.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -39*k**5 + 11351*k**4 + 34167*k**3 - 103923*k**2 - 304344*k + 15876 = 0.\nAnswer: -3, 2\/39, 3, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 9:15 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 - 9*b**2 + 2. Let v be n(9). Suppose -v = -2*z - 0. Sort z, -5, -3 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -83 + 81. Let r(v) = 5*v**3 + v**2 - 3*v - 3. What is r(b)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8\/7)\/t*t**11*(((t**(3\/2)*t)\/t)\/t)\/(t*t**11))**16 assuming t is positive.\nAnswer: t**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 325901213 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: Which is smaller: 5 or 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((14\/(-10))\/(-1))\/((-1)\/(-5)). Suppose 5*u + 1 = 16. Let p = c - u. Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 5 + (4 - 6). Let w be -2*(13\/b + 2\/6). Put w, 5, 4, 0 in ascending order.\nAnswer: w, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 46\/4*462\/(-189). Let n = h + 4699\/171. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-630)\/231 + 25143\/(-1683).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.32581 + -4.775509. Let g = -4.45 - s. Round g to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*(sqrt(504) + sqrt(504)*-2))\/sqrt(9))\/((sqrt(8) - ((3*sqrt(16) + sqrt(16))\/sqrt(2) + sqrt(8)))*-6))**2*1.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -513716, -1027467, -1541206, -2054927, -2568624, -3082291, -3595922, -4109511?\n\"Answer: g**3 - 513758*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 128909, 515703, 1160385, 2062955, 3223413, 4641759, 6317993?\n\"Answer: 128944*f**2 - 38*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**3 - 2*i**3 - 2*i**3)*(-1 + 2 + 0)*(-4 + 2 - 1) + 0*i**3 - 11*i**3 - 3*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -13. Suppose 2*g - 2 = -u*g - 2*v, -2*g - v = 0. Solve -i + g = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(3\/5)*h**(-14) assuming h is positive.\nAnswer: h**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 + (-7475)\/(-2275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8*a)\/a*a\/a**(4\/9)*a*a**(-2)*a*a\/((a\/((a\/(((a**(-2\/23)\/a)\/a)\/a))\/a*a))\/a) assuming a is positive.\nAnswer: a**(2824\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 5 + 14. Let q be (2\/c)\/((-8)\/(-108)). Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -3. Let b(f) be the first derivative of -7*f**4\/4 + 4*f**3\/3 + f**2 + 5*f - 39. Let a(j) = j**3 - j**2 - 1. Determine s*b(d) + 5*a(d).\nAnswer: -2*d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 1 - m + 1\/2*m**2. Let p(f) = -1. Let q(g) = 2. Let y(b) = p(b) + q(b). Give n(o) + y(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.35802 rounded to three decimal places?\nAnswer: 0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -19471 or -19469?\nAnswer: -19469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 601329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2, 90, 6, -0.3 in decreasing order.\nAnswer: 90, 6, 2, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 432 = 5*r - 3*t, 4*r - 333 = -5*t. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.6 + 6. Let s = r + -0.5. Sort s, -6, 2\/17 in ascending order.\nAnswer: -6, s, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5, 3 in decreasing order.\nAnswer: 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from zikz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14141 + 221100?\nAnswer: 235241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 7544*s - 14227984.\nAnswer: -(s + 3772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z - 9. Let k be w(-7). Let l(n) be the second derivative of -n**3\/6 - n**2\/2 - n. What is the units digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -328*b - 987. Let d be m(-3). Let n(j) = -3*j - 2 + 0 + 2*j. Let k(q) = q + 5. Determine d*k(l) - 7*n(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 573.359 + -573. Is 2\/5 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/21?  (a) 0.33  (b) 1\/4  (c) -0.02  (d) -868  (e) 1\/3  (f) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 4*j - 3*k + 8, -3*k = -4*j + 13. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**2 - 2*g - 4. Let c be o(-3). Let n = c - 12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1082 or -49605?\nAnswer: -0.1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3964662787.\nAnswer: 101, 4937, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33043 and 678432.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/66 in 0.3, -421, -1\/2, 0.4, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (46500\/330)\/62*11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2 - n - 8. Calculate a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*a - 1)*(0 - 2 + 4) + (-3*a + 2*a + 2*a)*(3 - 3 - 3).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 361 - -8. Suppose -329 = -5*r - 129. Let k = 1 + r. Calculate the greatest common factor of m and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70120105 is divided by 4056?\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/110*220\/88?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-930)\/155*(-110)\/(-33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 44573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*m - 2*r + 152 = -59*m, -m + 2*r = -61. What is the remainder when 147 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003852 to 5 decimal places.\nAnswer: 0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, t: 3, r: 4, k: 4, w: 2, x: 3}. What is prob of picking 1 x, 1 w, and 1 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.158 in 4, 2, -8\/65?\nAnswer: -8\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7\/3 - 25\/12. Which is the third smallest value?  (a) -3  (b) o  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 138235 + -3455876\/25. Let q(t) be the second derivative of t**5\/20 - t**4\/4 + t**3\/3 + t**2\/2 + t. Let w be q(2). Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 12*f**2 - 2*f + 27. Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -5*b - 10, 88*b - 90*b = 4*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 109181.91.\nAnswer: 218363.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + -2779823?\nAnswer: -2779829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 614 is divided by 143?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/13*266\/(-931).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1331 - 1312 - (-3 + 36 - -2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 51 divided by -10594\nAnswer: -51\/10594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-52 - -27) + 18 + (3 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.05  (b) -0.1  (c) -2  (d) -34\/1205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/6 and 35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 306 by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 23984*4\/((-32)\/(-9006)). Let c be ((-54)\/10)\/((-294)\/490). Suppose -5*s = -q - 3*q - t, -c = -3*q. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-690)\/(-280))\/(-23))\/((-2)\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1\/2*9 + -6)*-386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i = -19*i + 40. Let a = -103 + 105. Suppose -j = -a*b + 6, -2 + i = 3*j. Solve -3*t + t = -b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 8:29 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (631\/(-11989))\/(6\/76)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -217 - -212. Let v(a) = a**2 + 2*a - 11. Calculate the remainder when 7 is divided by v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 0*d**2 + 3*d**2)*(43*d - 126*d + 86*d - 316).\nAnswer: 6*d**3 - 632*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**5 - a**4 - 433822*a**3 - 196362*a + 27 wrt a?\nAnswer: -20*a**3 - 12*a**2 - 2602932*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10193 + 94*v**2 + 1343*v - v**3 - 10193 - 1343*v + 92*v**2.\nAnswer: -v**3 + 186*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -3.2. Let x = -38 + 25. Let i = 18 + x. What is the third smallest value in -1\/3, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 5*a - 2. Let l be j(-4). Solve -5*n - l - 23 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9\/(-27))\/(2\/(-24)). Solve 1 - 3 = -x*f + 2*a, 3*f - 14 = 4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37098930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15\/4 + 9\/2. Sort 2\/17, 0.5, o in ascending order.\nAnswer: 2\/17, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9 - -31 - (-2 + 3\/(-3)). Suppose o*w - 4 = 42*w. Suppose 21 = w*k - 2*k - h, -4*k + 5*h + 33 = 0. Calculate the least common multiple of k and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2 - 2 + 1 - 4*m + 3*m. Let c be b(-1). Suppose -2*k = -0*k - 8. Sort k, c, 3.\nAnswer: c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**2 + 2*q**2 + 1261*q**3 - 1263*q**3 + 3*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y + 2*y + 4*y)*(-61 - 24*y + 118 - 59) as l*y + g + x*y**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-12) - 5\/(-80)*-12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 308191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 12*g + 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3945 and 941277.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3163957 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 9}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 8. Let k = 3 - f. Let l = k + -1. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132477.7 millimeters in centimeters?\nAnswer: 13247.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0*(-3)\/(5 + -2). Let m(s) = s + 1. What is the remainder when 1 is divided by m(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*w = 11, 4*h - w = 3*h + 1. Let q(t) = -h*t + 1 + 1 - 2. Let v(u) = -26*u**2. Let o(l) = 9*l**2. Let k(c) = 17*o(c) + 6*v(c). Determine k(q(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 7550356\/7 and 1078621 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 9) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1283358 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.7 - 107.7. Let m = -101.1 - h. What is the closest to m in -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100100001 + 10?\nAnswer: -1100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -9*d - 32. Let i(m) = m**3 + 24*m**2 + 23*m - 5. Let w be i(-23). Calculate the remainder when 34 is divided by q(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1192*i = -212*i + 68600 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9273 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3983976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 185359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25417, 25413, 25395, 25357, 25293, 25197?\nAnswer: 25063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bd (base 16) in base 6?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiwwwwwww. What is prob of picking 2 w and 1 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5*a - 24, -4*u + 4*a = -0*u. Let y(l) = -l**3 - l**2 + 3*l + 4. What is y(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 2 = m, 0 = 3*g - 3*m - 93. Let j be 2\/(5*4\/g). Solve -j*a - 3*y - 1 = -a, 4*y = 2*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 59b4c + 0?\nAnswer: 59b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 7, 0, -11, 1 in ascending order.\nAnswer: -11, 0, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 103, -8, 21111 in ascending order.\nAnswer: -8, 4, 103, 21111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1246252.\nAnswer: 2, 7, 47, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117627?\nAnswer: 3, 39209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -k - 2341 + 2349, 5*k + 26 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*c**4 + 4366545*c**3 - 953342311635*c**2 + 2859987636135*c = 0. Calculate c.\nAnswer: 0, 3, 436653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6480 divided by -27?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 8:08 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c - 55. Let j be x(-15). Suppose j*a - 1 = 4*p - 4, -2*p = 3*a + 15. Let g(n) = n**2 + 3*n - 4. What is g(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -46*r + 45*r. Solve r = k - 2*g + 8, k - g = 2*g - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 1:50 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -3*j + 1, 0 = -3*x - 5*j + 5 - 7. Put 42, 6, x in descending order.\nAnswer: 42, 6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, -8, -3, 2, 1, -12, -43, -98?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 86\/12 - 2\/12. Let o = i - -1. Suppose -3*y + 1 = p, -p - 4 = -5*y - 5*p. Solve -g = h, y = g - 5*h + 10 + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 239 - 351. Let a = h - -192. Let d(x) = 16*x - 22. Let w be d(2). Calculate the highest common factor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 55 and 106\/7 - (-1)\/(-7).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -4. What is the tens digit of y - (-9)\/((-18)\/(-100))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 - 3985*c + 3980.\nAnswer: 5*(c - 796)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4\/7  (b) 2  (c) 3  (d) -0.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 6, 8, 1 in increasing order.\nAnswer: 1, 6, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.948 - 1.214. Let r = 0.266 + b. Sort -2\/3, r, -0.3 in ascending order.\nAnswer: -2\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 34 = -2*b - 3*w, w + 85 = -5*b. Let c = b - -26. Let k(g) = 11*g + 65. Let p be k(-1). Calculate the greatest common divisor of c and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24687432 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 809*h**6*i - 2709*h**4*i - 20045*h**2*i + 42*i wrt h.\nAnswer: 97080*h**3*i - 65016*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-8)*o)\/(o\/(((o*(o*o\/(o\/o**(-10)))\/o)\/o)\/o))*(o*(o\/(o**(1\/5)\/o)*o)\/o*o)\/o**(-3) assuming o is positive.\nAnswer: o**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**1*(v**6*v)\/v*v**17\/v*v**(-1) assuming v is positive.\nAnswer: v**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -5 in increasing order.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -16*r**2 - 31264*r + 187634. Calculate y(6).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1723040 and 110.\nAnswer: 1723040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -691*y + 2745*y - 143780 = 0 for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 5*a**2 + 6. Determine z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -75 - -75.05. Let i = -1.32 + 0.12. Let l = -1 - i. Which is the second biggest value?  (a) -2\/3  (b) l  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 divided by 14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -179617.6614 - 1.81245.\nAnswer: -179619.47385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 - 107*p - 30. Determine v(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51895171.\nAnswer: 1459, 35569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, -73, -201, -391, -649, -981, -1393?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(-1 + 1 + 2*s**2) + 3*s**2 - 3*s**2 - s**2 - 6*s + s**2 + 8*s + 5*s**2.\nAnswer: 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-140))\/(-1*(-4)\/(-28))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 - (13 - (63 + -43)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1306305 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 3 = -l. Let k(o) = -o + o + 3*o**l. Let m(w) be the second derivative of w**3\/3 + w. Calculate k(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 993560, 993537, 993514, 993491, 993468, 993445?\nAnswer: 993422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 40, 277*w - 276*w = -5*f + 5 - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 13214955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h - 1896 = -12*h + 4*k, -494 = -h + 5*k. Does 67 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1086 + 1084. Let h = 8 - 7.5. Which is the third smallest value?  (a) f  (b) h  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 123016300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 76, 172, 306, 478?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2)*b*b*b)\/b**(1\/9)*b**26*b**(-4)\/b*b)**(-3) assuming b is positive.\nAnswer: b**(-206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + -69 - (6 - 2). Let o = v - 54. What is o rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2069 + -1168. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14865732 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.021132*0.5.\nAnswer: 0.010566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -23. Let m(z) be the second derivative of 0 + 1\/60*z**4 + z + 0*z**i + 0*z**2. Let m(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250479 is divided by 420.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/228143 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1786, 1789, 1792, 1795?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 1, 4, 1\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 463345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13190556 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 133 = -613. Let k = -69 - y. Let p(u) = -u**3 - 9*u**2 - u - 6. Give p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29233481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2 + 2*u + 1. Let p be m(2). Let j be 4\/2*p\/14*0. Find the second derivative of -1561*h - 42*h**2 + 1521*h + j*h**2 wrt h.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-5 + 5)\/5. Solve -2*w + 3 + 1 = c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7*f. Let o(k) = 241*k + 21*k**2 + 245*k - 486*k. Give o(u(s)).\nAnswer: 1029*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t**13\/t)*t*t\/((t*t*t*t\/(t\/(t*t*t*((t\/t**(-10)*t)\/t)\/t)))\/t)*t*t**(-9)*t*t*t**5\/t assuming t is positive.\nAnswer: t**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 163 = -164. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*k = 27*k + 3*h + 48, 67 = 3*k - 2*h. Calculate the remainder when 50 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6)\/(o\/o**(-2\/15)))\/((o\/o**(-2\/11))\/((o*o**(1\/11))\/o)) assuming o is positive.\nAnswer: o**(-1357\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48769 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1014 + -14423450?\nAnswer: -14424504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4f (base 16) to base 3\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4*(12\/(-8))\/(-3). Suppose 821 + 135 = t*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/11)\/(3\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*n + 20. Suppose 2*j = -2*m, 5*m - j - 2 = n. Suppose 2*t - 8 = -m*h, -11 = -3*h - 4*t - t. Solve -2 = -2*z - f, -h*z + 0*f = 4*f + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 114 or 1328?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**2 + 2*y**2 + 8124*y**3 - 2467*y**3 - 5673*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 9*s = 40. Suppose 3*l = -z - 114, -2*l + s*z - 3 = 56. Let j = 39 + l. Sort -4, 4, j in increasing order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 6*x**2 - 4*x - 11. Is s(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 4*q + 5. Let c(n) = n + 10. Let f be c(-5). Let x be o(f). Let k = x - -7. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1 = 7. Suppose -2*j = -r*m + 166, -2*j = -0*j + 10. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a, 1 b, and 1 r when four letters picked without replacement from rbrraarbrararrrb?\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-14)\/(-196))\/(6\/(-21)))\/(132\/32)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.01 - 1.01. Let w = -1.2 - q. Let k = -33 + 67\/2. Which is the second biggest value?  (a) w  (b) 0  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64142035*k**5 + 2*k**4 - 32023055*k**2 wrt k?\nAnswer: 3848522100*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7548*z**2 + 7551*z**2 - 15101*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -442020?\nAnswer: -442022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 62, 9, -5 in decreasing order.\nAnswer: 62, 9, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20369685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 143, 550, 953, 1352?\n\"Answer: -2*v**2 + 413*v - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 858, -3, 1, 0 in decreasing order.\nAnswer: 858, 9, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 7*i**2 - 1132*i + 14395. Determine h(14).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 54, 64, 54, 18, -50?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-178)\/(-267) + (-40)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 13208 divided by -254\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 9:46 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15455 + 15518. Solve r - 3 = 15*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*h + 16*h - 3*h**3 + 0*h**3 - 27*h as j + o*h + y*h**3 + m*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 28 = 2*w. Let v = 43 - w. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1605000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19.2 - -19. Let z = 29222609\/171 - 170903. Let l = z - -94\/9. What is the nearest to 1\/4 in l, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -34315 - 1143?\nAnswer: -35502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, u: 9}. Give prob of picking 2 u.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8*((-110)\/28 - -4). What is the nearest to -0.1 in -0.2, -1\/7, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -18*h**2 - 2. Let c be x(-2). What is the remainder when (1 + 9\/(-6))*c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-5))\/3*-5. Let z = 62 - 52. Calculate the lowest common multiple of z and 1391\/78 - s\/12.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9627655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 n when four letters picked without replacement from ixnlh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 290425 - -0.21?\nAnswer: 290425.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42*g**5 + 26*g**4 - 36*g**5 - 119*g**4 + (-2 + 7 + 1)*(-3*g**5 + 4*g**5 + 2*g**5).\nAnswer: 24*g**5 - 93*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7\/9, -0.2, 23.06, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.3 + 5. Sort x, -1, -2.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9837.115l?\nAnswer: 9837115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*i**6 - i**4*z - 50538*i**3*z + 17*i**2*z + 5816*i**2 + 2*i*z wrt i.\nAnswer: -960*i**3 - 24*i*z - 303228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 938848 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-18))\/c**(2\/35)*c\/(c\/(c**(-21)*c)*c)*c**(-2\/3)*c)**32 assuming c is positive.\nAnswer: c**(-5792\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13867, -27715, -41571, -55441, -69331, -83247?\nAnswer: -97195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*k = 14*k - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -7  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2158*a**2 - 23*a + 9. What is the thousands digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3212526319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -5110?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/(-5) - 26631\/(-12105).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2048671056 to the nearest integer?\nAnswer: 45262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = b - 15, -4*h + 3*b - 8 = -15. Solve h = s + 3*s + 4*w, -5*s + 5 = -3*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, r: 4, i: 8}. What is prob of picking 3 r and 1 i?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24117571*x**4 - x**2 + 132*x + 5084.\nAnswer: 578821704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8295 = -5*z - 5*c, 2*z + 1043 = -c + 4359. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 2*b**4\/13 + 56*b**3\/13 + 480*b**2\/13 + 800*b\/13 - 4000\/13 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 145820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-3)\/(1 + -3 + (-1)\/((-10697)\/21391))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 0 - (105 - (130 - 74) - 78).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 2*m**2 + m - 4. Let r be y(3). Let g be (-1 + r\/(-6))*3. Find the third derivative of 5*n**2 - g*n**3 - n**3 - 3*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 + -14. Suppose 0 = -4*f - 20, 6*n - 2*f = n - 15. Let w(l) = -l + 2. What is the lowest common multiple of y and w(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*t - 3*t**2 + 4*t**2 + 0*t**2)*((2 - 2 - t)*(1 - 3 + 0) + (4*t - 3*t - 3*t)*(6 - 2 + 30)) as c + p*t**3 + l*t**2 + k*t and give l.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.84 times -0.2?\nAnswer: 0.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(52))**2 + sqrt(117)\/sqrt(900) + (-5 + sqrt(325)*-2 - ((sqrt(325)*-1 - sqrt(325)) + 4))**2.\nAnswer: sqrt(13)\/10 + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 2*u - 17535, -2*b = -13*u + 15*u - 7014. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1123030411 + -3?\nAnswer: -1123030414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/23))**(-1\/57) assuming t is positive.\nAnswer: t**(-2\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, h: 7, d: 1, m: 2, l: 2}. What is prob of picking 1 d, 1 f, and 1 h?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2183632.\nAnswer: 2, 11, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1.1  (b) -14  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 608.6705.\nAnswer: -610.6705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/21175 and -61\/1210.\nAnswer: 42350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**3*v**3 + 14*f**2*v**3 + 2*v**3 + 74*v**2 wrt f.\nAnswer: -3*f**2*v**3 + 28*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5306247 divided by -1768749.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, z: 2, o: 1, e: 1, y: 1}. Give prob of sequence ey.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/11433812 and 73\/6?\nAnswer: 34301436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 799 + 2949 = 0. Let a = z + 319. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37275585 and 90.\nAnswer: 223653510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3231.166 - 3231. What is the third smallest value in 4\/7, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 392243 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 4286\/78 + 13 + (-2020)\/156?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4144 = 3*k, -3*y - 1708 + 315 = -k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31349603.\nAnswer: 157, 199679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2070 or -2064?\nAnswer: -2070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*f**4 + 3963*f + 53748 wrt f?\nAnswer: -12*f**3 + 3963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t. Let x = -69 - -81. Suppose 2*h + 6 = h + 5*n, -4*n = -x. Let i(s) = h + 12*s - 9. Determine i(q(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, n: 1, p: 1, i: 1, d: 2}. Give prob of sequence on.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28792 and 1310744?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17.4 in 0.083, -2\/5, -1\/39, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 12*g + g**2 - 6 - g - g. Let f(u) = 3*u**2 - 8*u - 127. Let o be f(-5). Is k(o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*r - 303 = 0, -2*r + 197 = 4*t - 97. Calculate the least common multiple of t and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -395 by 20534.\nAnswer: -395\/20534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyypy?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 131 + 227*j + 31 + 38 + 30.\nAnswer: 227*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/6 and -29\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 5*q + 1. Let d be l(-4). Suppose 0 = -3*o - 0*o - 18. Let w(p) = 2*p - 6. Let z(s) = 4*s - 13. Give d*w(t) + o*z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2 - 6*b + 4. What are the prime factors of g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7431649, -14863299, -22294951, -29726605, -37158261, -44589919?\n\"Answer: -f**2 - 7431647*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-42)\/9 + 2\/3. Let d = h - 0. What is the second smallest value in d, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/((-320)\/(-984))*(-800)\/480?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/5226 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) 217\/2  (c) -3  (d) 358  (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/2)\/((-48)\/(-64)). Let o be (-4 + 5)\/(y + 1). What is the nearest to -1 in -4, o, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -276 divided by -866\nAnswer: 138\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/8 and -53\/176117002?\nAnswer: 704468008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 165 (base 14) to base 9\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**2 + 0*p**3 - 3*p**2 - p**3 - 2 as n + c*p**3 + w*p**2 + v*p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3 + 2148*w**2 - 325692*w + 15160156.\nAnswer: -4*(w - 319)*(w - 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 8. Find the common denominator of 71\/20 and n\/(-8)*57\/12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/600)\/((-18)\/(-90))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -174 - 3*t**3 - 106 - 116 - 6*t**3 + 3*t**2 wrt t?\nAnswer: -27*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3704*g**2*r**3 - 6*g**2 + 2*g*r**2 - 3*g - 31*r wrt r.\nAnswer: 22224*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 27\/(-36)*-11.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3\/7 + 512*k**2\/7 - 70260*k\/7 + 206064\/7.\nAnswer: 4*(k - 81)*(k - 3)*(k + 212)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -17*b + 21. Calculate q(-13).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 2573256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.4 in -4, 0.52, 1\/9, 7, 0.25?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 341*a*m*u*w - 19*a*m*w - 2*a*m + 33*a - 2*m*u*w - 4*m*u + 119*u + 529*w wrt u?\nAnswer: 341*a*m*w - 2*m*w - 4*m + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86699 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 338 - 171. Let m = t + -48. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38109 divided by 1\nAnswer: 38109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, q: 12, h: 5, v: 1}. What is prob of picking 1 a and 2 q?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 5. Let q be -1 + 2*12\/(-3). Let p be (-3)\/(q\/(-3)) + 1. What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -3\/2, 20, -26\/34243, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + 0 + 0)*(l**2 - l**2 - l**3 - 2 + 3*l**3 + 2 + (-1 + l + 1)*(0 + 0 + l**2) - 3 + 3 + 2*l**3 + 0*l**2 - l**3 + 0*l**2).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 - -0.3. Let n = y - -0.9. Let v = -6.1 + n. Sort v, -1, 2\/5.\nAnswer: v, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3727, 3729, 3731, 3733, 3735, 3737?\n\"Answer: 2*o + 3725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -45*n - 9. Let d(r) = -r**3 - 4*r**2 + 4*r + 7. Let m be d(-2). Is 44 a factor of i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8874692753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001 (base 2) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 780b?\nAnswer: -7807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 1\/2358221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 5*h**2. Let v(z) = -34*z**2. Calculate v(m(r)).\nAnswer: -850*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*-3*(-91)\/(-234)*6\/35?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 179943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 485*j - 1473.\nAnswer: (j + 3)*(2*j - 491)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.82 - 0.68. Let d = -5.35 - f. What is the closest to 3 in d, 2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 10 = 8*g. Let z be 9\/(-15) - 18\/g. Suppose -3*f - 90 = -b, b - z*f = f + 90. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 24 = -30, 4*g - 4*d = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - (22 + -29 - 21)) + -77 + -1.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + -3 + ((1*sqrt(343) + sqrt(343) + 5 - sqrt(343))**2 - sqrt(343)) + -1*(2 + (sqrt(343) + -1 - sqrt(343)) - sqrt(343)).\nAnswer: 70*sqrt(7) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(1\/11))\/(d*d\/d**(3\/4)*d))**(-50))**(-2\/45) assuming d is positive.\nAnswer: d**(-295\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.429055t to kilograms.\nAnswer: 2429.055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.1, 0.4, -0.4, -2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -v**3\/3 + 18*v**2 - 7*v + 87. What is the hundreds digit of m(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 20 = 3*u - 2*k, -20 = 4*k. Let t(l) = -l**3 - 4*l**2 - 3*l + 5. Is t(u) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + k - 4 = 0, 8*n - 72 = 6*n + 8*k. Let i = 7 + -3. Factor -1\/4*b**i + n - 15\/4*b**2 - 2*b + 2*b**3.\nAnswer: -(b - 4)**2*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xghtgcjc. What is prob of sequence chx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.2 + 1.2. Suppose -3 = m - 3*p - 7, -5*m = 5*p - 20. Let l = -160 + 163. Which is the nearest to s?  (a) l  (b) -0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - (38 + -30)) + -32.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5 and -420845.190985.\nAnswer: -420844.690985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 5*g + 4. Let y = -8 - -5. Let d(w) = -3*w + 2. Let o(n) = y*q(n) + 5*d(n). What is the derivative of o(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1275, -2561, -3861, -5181, -6527, -7905?\nAnswer: -9321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (0 + -1)) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(200) + 1)**2*6.\nAnswer: 120*sqrt(2) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-9)*(-3)\/16\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34 - 40) + 10 + 6 + 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 11*d**2 - 31*d - 4. Calculate t(-13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 77 = -i, 0 = -5*l - 2*i - 0*i - 190. Let r be (l\/(-21))\/(4\/70). Let f = r - 16. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15649 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4 + 271932*l**3 + 6164697954*l**2 + 110898492444*l + 498944116467.\nAnswer: 3*(l + 9)**2*(l + 45313)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84276962?\nAnswer: 2, 7, 11, 78179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -430, -862, -1294, -1726, -2158, -2590?\n\"Answer: -432*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -263*l + 1112*l + 231*l to c + b*l and give b.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2845280 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - (-45)\/(-12))*4. Put -16, -4, b in descending order.\nAnswer: b, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 44, 157, 356, 647, 1036?\n\"Answer: u**3 + 37*u**2 - 5*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o**2\/2 - 9*o - 1683\/2 = 0. What is o?\nAnswer: -33, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2118383 and 37733?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m + 2142 = -7*m. What is the highest common divisor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3004 or 2997?\nAnswer: 3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3402390 by -680478.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0.1, -2, 1 in descending order.\nAnswer: 9, 1, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**2)\/c**(-2\/7))\/(c**(1\/3))**16)\/((c**(-1)\/c)**(-48))**(-2\/27) assuming c is positive.\nAnswer: c**(67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**3 + 5*y**2 + 8*y + 4. What is the units digit of s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a - 2. Let v be ((-20)\/(-16))\/(3\/36). Suppose -5*r + v = 5. Is f(r) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25\/11 - 53\/33. Suppose 0*h - 3*h + 4*p + 18 = 0, -3*h + 3*p = -18. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1861*y**4 - 1571*y + 4725*y - 1580*y - 1571*y)*(2*y - 6*y + 3*y).\nAnswer: -1861*y**5 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 101.54 + -101.6. What is the smallest value in -0.3, s, 22, 2\/27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-14) + ((-11862)\/378 - -33). Let u(h) be the first derivative of -2\/3*h**5 - l*h**4 + 8\/3*h**2 + 2*h**3 + 19 - 8\/3*h. Solve u(z) = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -20. Solve -w = -5*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -1 - 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 4*i**2 - 44*i - 195. Let u be r(-5). Solve u = 6*t - 9 + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + (-32)\/(-2) - -2. Suppose -5*o = r, 334 + 336 = 5*s + 5*o. Suppose -3*w - 2*n + s = 0, -w - w - 2*n = -94. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81797714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*(34\/(-12) - 42\/(-28)). Suppose -6*d = -3*d - 438. Suppose d = q*r + a, 2*a = a - 2. Is 38 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -57*p - 16. Let y(r) = -r. Determine v(y(g)).\nAnswer: 57*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 4*q - 237. What are the prime factors of b(55)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 102 + 102 + p. What is the smallest common multiple of n(1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -356, -728, -1114, -1520, -1952?\n\"Answer: -l**3 - l**2 - 362*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1353 - 849. Suppose 0 = 9*m - 306 - x. Calculate the greatest common factor of m and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 478 and 1049681308.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 0*m**3 + 21134*m**2 - 21183*m**2 - m + 2*m**3 + m**4 to z*m**4 + h*m**3 + j + i*m + a*m**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 - -44. Suppose 0*v - 264 = -g*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*q - 93*q = 666250. Let o be (47368\/(-155))\/(2\/q). What is o rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 - -28.1. What is the closest to 0 in -4\/7, -4, n?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/3 - 412*i**2\/3 + 137*i.\nAnswer: i*(i - 411)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -180 - 8*d + 79 - 220 - 557 in the form t*d + z and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b**2 + 103*b - 342. Calculate v(-37).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83, 173, 263, 353, 443?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -2*u**7\/21 + 841*u**4\/12 - 1481*u**3\/3 + u + 3053. What is the second derivative of s(v) wrt v?\nAnswer: -80*v**3 + 1682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 192 (base 16) to base 3.\nAnswer: 112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -167 + 172. Suppose 4*p - 4*z = -130799984, x*p + 161715131 + 1784885 = -4*z. Round p to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -71*f*l**2 - 8*f*l - 1596*f - 5*l**2 + 363*l - 831 wrt l.\nAnswer: -142*f*l - 8*f - 10*l + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44565 and 695214.\nAnswer: 3476070","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyooyo. What is prob of sequence yy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 179878 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 116\/(-28) + 1\/7. Are -1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 219096 divided by -6\nAnswer: -36516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8909.393 nanometers in kilometers?\nAnswer: 0.000000008909393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.065 less than -11968999546?\nAnswer: -11968999545.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 1, h: 1, w: 9}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4*c + 6. Let w(r) = -2*r + 3. Let l(u) = -u + 1. Let h(y) = 5*l(y) - 2*w(y). Let q(v) = 6*h(v) + s(v). Let p(x) = -4*x. Give q(p(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 s when four letters picked without replacement from ssysihyhhyddysyysy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f - 64 + 82 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1290*b**2 - 2 + 4*b**4 + 1287*b**2 - 3861*b**2 + 1283*b**2 - 2*b to the form h*b**2 + z + p*b + a*b**4 + s*b**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 610 divided by -155234.\nAnswer: -305\/77617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 271 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuvduuvvvvuuvuvvu. Give prob of sequence uvuv.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3286 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8737 is divided by 2181?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - q + 2)*(9 - 3 + 1)*(-1 + 5 - 2)*(1 - 1 - 2*q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -816, -822, -832, -846, -864, -886, -912?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q. Let l = 2 + 0. Let x(k) = -3*k**l + 0*k + 0*k + 8*k**2. What is o(x(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-2\/3)*p\/(p*p**(-6)*p*p))\/(p**1)**(-38)*p**(4\/7)*p**(-3)*p*p**6*p*p*p*p**(1\/15) assuming p is positive.\nAnswer: p**(5387\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*2\/(-78)*-6.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 249142.1 tonnes to kilograms.\nAnswer: 249142100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ajaaddaay. What is prob of sequence ad?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**15\/(y\/(y*y*y**(-14)*y*y)))\/(y*y**7)**(11\/7) assuming y is positive.\nAnswer: y**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/944088 and -121\/944088.\nAnswer: 944088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 18 = -0*x. Solve 2*q = -q - x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17076, 31192, 42348, 50544?\nAnswer: 55780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 1.7. Let v = 89 + -8. Let c = v - 87. Sort c, -0.1, g.\nAnswer: c, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/106458 + 638735\/1383954. Factor 0*g - l*g**3 + 0 + 4\/13*g**2 + 2\/13*g**5 + 0*g**4.\nAnswer: 2*g**2*(g - 1)**2*(g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 18. Suppose -o = -3*d - 0*d. Suppose -d*p + r = -29, 5*r + 49 = 3*p + 6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3541 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 0 - 5 - -1) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 - (82 - 80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*y = -30*y + 1118561. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1958917, 1959072, 1959481, 1960270, 1961565, 1963492, 1966177, 1969746?\n\"Answer: 21*r**3 + r**2 + 5*r + 1958890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -0.2. Let p be (2\/(-78))\/1*117*59\/(-2301). Let t be 2\/(-2)*(-1 - -2). Which is the nearest to p?  (a) -1\/4  (b) o  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1591.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -307555, -1230227, -2768015, -4920925, -7688963?\n\"Answer: -y**3 - 307552*y**2 - 9*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 7:51 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35653 (base 7) to base 15.\nAnswer: -2b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 528752.\nAnswer: 2, 7, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443562?\nAnswer: 2, 3, 7, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7744.008 kilometers to millimeters.\nAnswer: 7744008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -55.505 times 26\nAnswer: -1443.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28646 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001771259235 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6903645 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-4))**(-1\/2))**33*((q\/(q\/q**(1\/3))*q)\/(q*q**11))**15 assuming q is positive.\nAnswer: q**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -3)\/4*8. Suppose 0 = 2*p + 4*g - 14, m*g - 1 = p - 2. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 821 divided by -4828?\nAnswer: -821\/4828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-125)\/(-75))\/((-4)\/6 - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1163720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 349058, 349059, 349058, 349055, 349050, 349043?\nAnswer: 349034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.47944mg in micrograms?\nAnswer: 72479.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 54 - 72 = -p, -10*b = -5*b + 16*p + 192 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 225152 (base 6) in base 3?\nAnswer: 222110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -6*k - 52. Let l be j(-28). What is the greatest common divisor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 75  (b) 5  (c) 1\/171  (d) -0.3  (e) -0.02  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-2*(sqrt(112)\/sqrt(4)*6 - -2*sqrt(252))\/(sqrt(8)\/(sqrt(2) + (sqrt(288) + sqrt(288)*2 - sqrt(288) - sqrt(2)))).\nAnswer: 2304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u - 2. Let z(q) = -5*q + 10. Suppose 0 = -h - k - 5, -2*k = 2*h + 2*k + 16. Let y(n) = h*z(n) - 11*r(n). Give y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of a**6\/2 + 9*a**5 - 33*a**4\/4 - 147*a**3 + 393*a**2 - 360*a - 912. Find j such that k(j) = 0.\nAnswer: -15, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from qvvqetqqvveervrtqqrq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -1\/90*a**6 + 0*a**3 + 0*a**2 + 0 + 1\/36*a**4 + 0*a**5 - a. Suppose n(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 (base 10) to base 13\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -225.68167 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**3 - 2\/3 + 1\/3*p**2 + 1\/3*p**4 + p = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((252\/12)\/(-7))\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 102 + -98 - 4\/(-2)*1. Solve -b + 0 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 11864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 7*a**3 + 543*a**2 + 1350*a + 11. Give p(-75).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -10) + -12 - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*m**2 + 32*m**2 - 6 + 6 to f*m**2 + n + d*m and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*p + 33*p - 42*p)*(66*p - 26*p + 0*p)*(2*p**2 - 5*p + 5*p).\nAnswer: 800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -72*r. Suppose -50*x + 170 = -4330. Let b(p) = -p. Determine x*b(z) - u(z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 times -282?\nAnswer: -25944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*n = 0, v + 2*n = n. Suppose v = -4*t + 3*x + 28, 0 = 2*t - 2*x + x - 12. Let a be t - 10*(-3)\/(-6). Let c(s) = 10*s + 1. What is c(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 3, -308 in ascending order.\nAnswer: -308, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -872, -885, -898, -911, -924, -937?\n\"Answer: -13*f - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -22*f**2 - 3*f + 6. Let c(h) = 21*h**2 + 3*h - 5. Give -6*c(n) - 5*y(n).\nAnswer: -16*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 305 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 - 2*i**2 + (-3*i + 2*i + 3*i)*(2 - i - 2) - 2*i**2 + 0*i**2 + i**2 + (-5*i - 11*i + 14*i)*(11 + 3*i - 11) to y*i + g + z*i**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-992)\/(-64))\/31*-24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.045 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 13593*z**2. Let b(r) = -3460*r. Determine b(y(t)).\nAnswer: -47031780*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -34*0.047\nAnswer: -1.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 23*v - 4. Let h be y(-16). Factor -3*z**3 + 1214 + 0*z**3 + 2606 - 576*z - 720*z + h*z**2 + 1364.\nAnswer: -3*(z - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -61, -103, -173, -283, -445?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**7\/70 + h**3 - 5*h**2. Find the first derivative of b(t) wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/8 and -41\/36968.\nAnswer: 36968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**3 - 1157630*u**2 - 11576522*u + 12734150 = 0. Calculate u.\nAnswer: -11, 1, 578825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n - 2 - 2 + 0*n - 4. Let m be y(6). List the prime factors of 2*(-11)\/m - -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 365\/424, -3 in increasing order.\nAnswer: -3, 365\/424, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kj when two letters picked without replacement from aaafajwjkfjas?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 16 = -2*f. Suppose l - 3*u = -f*u - 19, -5 = u. Let y = 64 - 40. What is the greatest common factor of y and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 a, and 1 e when four letters picked without replacement from {z: 3, a: 4, e: 7, q: 1, l: 3}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5216080 - -4?\nAnswer: -5216078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(33)*-2)\/((sqrt(11) + sqrt(33)\/sqrt(3))*6 - sqrt(11)).\nAnswer: -6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161525598?\nAnswer: 2, 3, 13, 59, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8 - -3) + 5)*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -302563, -302568, -302567, -302560, -302547, -302528, -302503?\n\"Answer: 3*k**2 - 14*k - 302552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5 = 11. Let l(i) = -4*i**3 - 6*i**2 + 11*i + 15. Let n be l(-1). Solve h + 23 = -w*m, 0 = -h + n*m - 0*m + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -6, 111, 4, 0.3, -3.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 11*l - 30. Determine w(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4866308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12 + (-860)\/210 + -8. Which is the fourth biggest value?  (a) j  (b) -1\/9  (c) 3  (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -1\/2, 1\/4, -2\/9 in decreasing order.\nAnswer: 1\/4, -2\/9, -1\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (95*n - 5*n + 53*n)*(-47 - 4*n**2 + 47) + (-3 + 3 + 2*n)*(-3*n**2 - n**2 + 5*n**2) as v + r*n + d*n**2 + u*n**3 and give u.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2 - 88284832*s - 974276445158528.\nAnswer: -2*(s + 22071208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 142*a**2*y**3 + y**3 - 2*y wrt a?\nAnswer: 284*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-19*8)\/(((-56)\/(-154))\/(-4)). Let b = 3030 - d. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-20))\/(1\/(-5)). Suppose x*l - 10 = -2*l. What is the third derivative of -3*j**4 + 0*j**l - j**2 + 5*j**2 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 36\/16*(-8)\/3. Let p(m) = 2*m**3 + 8*m**2 - 10*m - 5. Let y(c) = c**3 + 4*c**2 - 5*c - 2. Let g(r) = h*p(r) + 13*y(r). What is g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*b - 270*b - 4760 = -34*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.5, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*k - 11087, -19*k - r + 8872 = -15*k. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 531*q = 14125 + 743 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 2*m - 38, -4*t + m = 6*m - 31. Suppose -4*i = g - t, -4*g + 2*i + 90 = -18. What is the greatest common divisor of g and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -648 + 661. Calculate the greatest common divisor of i and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/3 - 122*q + 364\/3.\nAnswer: 2*(q - 182)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 5*v = 248, -5*v + 15*v - 8*v = 2*q - 100 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**3*u + 2*l**3 + 14*l**2*u + 43*l**2 - 7*l*u - 170*l + 2*u - 1 wrt l.\nAnswer: -6*l*u + 12*l + 28*u + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1712327000 rounded to the nearest 1000000?\nAnswer: -1712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 409192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -169*p - 187. Is x(-56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 2*u + 3*u. Let r = u + 12. Solve 4*p - t - 14 = 0, 4*t = 4*p - 22 + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-62 - (-21 - 16)) - -21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1610.793 micrometers?\nAnswer: 1610793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -294470, -294467, -294464?\n\"Answer: 3*j - 294473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -460 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.044, -4, 3\/7, -41 in decreasing order.\nAnswer: 3\/7, -0.044, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 4*j + 15 = 0, -3*k - 320*j + 317*j - 12 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2182029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1*-4*59\/(-59)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 104 (base 13) to base 16\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -3*m - 2. Let j(q) = 4*q + 3. Let x(v) = -5*j(v) - 7*t(v). What is x(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -37*g**2 + 1104*g - 121. Let a(t) = 7*t**2 - 221*t + 22. What is -11*a(b) - 2*m(b)?\nAnswer: -3*b**2 + 223*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3 + (0 + 4 + 0)*(-1 + 4 - 1))*(-4 + 2*q + 4).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -98181300 rounded to the nearest one hundred thousand?\nAnswer: -98200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 12:53 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 469 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/460677 or -1?\nAnswer: 2\/460677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -36*j*x + 4379884*j - 38117*x**3 wrt x?\nAnswer: -36*j - 114351*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (0 - (-5)\/2). Let k(m) = -m**3 - 4*m**2 + 3*m + 1. Let q be k(-5). Suppose 2*l + 3 = q. What is the closest to j in 2, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7738, -5, 5, 6 in descending order.\nAnswer: 7738, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of 1\/12*n**4 - 3*n**2 + 1\/120*n**6 + 0 - 2\/3*n**3 + 0*n - 1\/12*n**5. What is the units digit of z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -5*f**2 - 1. Let t(d) = 20*d. Let m(a) = -10*s(a) - 4*t(a). Let r(x) = -2*x + 4*x - 12385 + 12385. Determine r(m(p)).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44 by 4444238.\nAnswer: -22\/2222119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, q: 5, v: 7}. Give prob of picking 1 f, 1 v, and 1 q.\nAnswer: 245\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1, 2, 7, 14?\n\"Answer: f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-28)*8 - 406\/(-98). Solve -25 = -2*w - v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 67608?  (a) -7\/5  (b) -1\/25  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248*g - 1104 = 295*g - 591*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85 or 0.1?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cxypx. Give prob of sequence xxyc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yynyyysun. Give prob of sequence nns.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 7*u**2 + 9*u - 4. Let r be (3\/(-5)*-2)\/((-186)\/1240). Give m(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 48*z - 26*z + z**2 - 19*z - 4. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1210207 is divided by 2738.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.124 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyym when four letters picked without replacement from {y: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 33?  (a) -4  (b) 119  (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28954231543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u - 2*u + 4*u)*(3 - 2 + 1)*(-8*u + u**3 + 8*u).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41899100 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/7  (b) -4  (c) 149\/3  (d) -22256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 535 is divided by -3*(-10 - (545\/15 - -8))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/3*(231\/(-6) - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -197 (base 10) in base 7?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 26*p**2 - 50*p - 28. Calculate y(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 20 - 33 = 5*s, -5*a + 4*s + 55 = 0. Let v(y) = -2*y**2 + y + 2. Let l be v(3). Let b = -1 - l. What is the remainder when b is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 744195 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -9*u + 32. Let a(x) = 5*x - 16. Determine 7*a(i) + 4*r(i).\nAnswer: -i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 464 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(7\/(-2))*(-11)\/(-11).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*h - 436 = 0, -d - 46*h = -42*h - 408. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 2*h**2 - h + 4. Suppose 15 = 5*u, -3*t + 6 = -2*t + 3*u. Let b be i(t). What is the least common multiple of 4 and (10\/15)\/(b\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (117 - 109) + (-1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 26 = -3*k - 9*i, 0 = 5*k + 2*i - 14. Let w be (-2 - -1)\/(4\/(-140)). Suppose -w = -5*f + 15. Solve g - f = k*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252274499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = b, b = -3*t - 4*b + 5. Suppose t = 36*q - 35*q - 4. Let z = 3.2 - 3. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1738341 and 6237?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3*k + 5. Let z be c(-3). Let x be ((-6)\/4)\/((-3)\/(-4)). Put -9, x, -1, z in descending order.\nAnswer: -1, x, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -1\/2, -98532 in descending order.\nAnswer: 1\/6, -1\/2, -98532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/9  (b) 2\/17  (c) 3  (d) 344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from ktook.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1893 a factor of 22512636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/4)\/(339\/(-904)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 655721699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 49\/(7\/(-1)) + 10. Suppose -4*p + 5*q = -1958, 18*p - 21*p = u*q - 1482. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 124145\/10641*3\/(-20)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862 is divided by 381?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 3 = 0, -3*d - 14*a + 10*a = -4. Solve d = -10*x - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147394 divided by 17?\nAnswer: -147394\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 260 - 205 - ((-9 - (1 - 5)) + 5)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45152 and 593776?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4819 + 4814. Put h, 4, 1\/506, -3\/8 in increasing order.\nAnswer: h, -3\/8, 1\/506, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50180765721 + -50180980261.07037. Let t = 214541 + l. Let p = t + -0.93. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*w - 9 + 2 = 0, -7 = l - 5*w. Let o = 8 + -12. What is the smallest value in 0.3, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(7)*-2)**2 + 1.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 25, -0.5, 6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/985196 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 302583275599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 247 + -223. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 4*g = -5*t + 1251, 0 = 5*g + t - 3116. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 5*q**4 + 7)*(-4 + 2 + 0)*(3 + 2 - 6) as v*q**3 + d*q**2 + s + m*q**4 + z*q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 115664 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67 + -66.7. Which is the biggest value?  (a) -2\/13  (b) y  (c) -2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 divided by 1319073\nAnswer: 8\/188439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*v = -48705 - 38270. Solve -1219*f + v*f = -12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + 10*2\/(-4). Is c equal to -35\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 - (-160 - -170).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/584 and 101\/8308714.\nAnswer: 33234856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6861 + -115?\nAnswer: 6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.0341, -2, 1, 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/5 + 48*f**2\/5 - 102*f\/5 + 52\/5.\nAnswer: 2*(f - 1)**2*(f + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1 + 3 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18234*b**3*p**2 + 4*b**3 + 67*b**2*p - b*p + 5 wrt p.\nAnswer: 36468*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1231402 (base 5) to base 12.\nAnswer: -11a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9887197006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1881705553 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 5 = -2*a, a - 2*i - 1 - 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z + 103*z - 873 = 903 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 7417?\nAnswer: 741c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pssp when four letters picked without replacement from {p: 3, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 320045*a**4 + 247719890*a**3 + 47936736065*a**2 + 757846620*a + 2995380 = 0?\nAnswer: -387, -2\/253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/42*21532\/24608\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 26\/13*(-2)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2\/z*z)\/z*z*z)\/z**(-14) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*j + 8462*j + 22765 = 150597 + 11096 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*y**3 - 20*y**3 + 11*y - 26*y**3 - 4*y**3 wrt y.\nAnswer: -132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, q: 9, g: 1}. What is prob of picking 1 q and 1 g?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2\/13, -3, 0.4, 102, 157 in descending order.\nAnswer: 157, 102, 0.4, 2\/13, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3)\/y)\/(y\/y**1))\/(y*y**(-1))**(4\/3) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5634690 divided by 6\nAnswer: 939115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 6*u + 2. Suppose -d + 1 - 4 = -j, -4*j - d + 27 = 0. Let l be z(j). Is -1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*t - 12. Let a be 25\/t*(-4)\/(-45). Suppose 4 = -s - p, 0 = -3*p - p - 20. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 15*s**2 + 15*s - 30. Let n(i) = -i**2 + i - 2. Let t(u) = j(u) - 15*n(u). Let k(f) = -2*f. Determine t(k(x)).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*f + 13. Let x = 393\/7 + -1804\/35. Let u = 59\/15 - x. What is the third biggest value in u, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17453 and -8?\nAnswer: -139624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 0.70194120940151.\nAnswer: 0.60194120940151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 53, 107, 161, 215, 269, 323?\n\"Answer: 54*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8320381*y + 725291?\nAnswer: 8320381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 183a4160 - -2?\nAnswer: 183a4162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of -3 + t**2 + 4*t - 1\/3*t**3. What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36716694 and 33432?\nAnswer: 146866776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 5, -2896, 573 in decreasing order.\nAnswer: 573, 5, -18, -2896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 19 = 4*u - 6*u, 3*u - 4*d + 36 = 0. Let s = u - -7. Is s not equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -54 - -90. Suppose 4*c - 98 = h, 2*c = 2*h - 3*h + 46. Suppose 2*x - 3*x + c = 0. What is the highest common divisor of x and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from wvpwwvw.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 3*j**2 + 12*j - 5. Let m be n(5). Suppose -4*o = 5*s + 57, -m*o - 86 = s - 20. Let h = o - -24. Solve -h = -3*v + 2*a, -a - 4 = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -19) + (-44 - -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert a9 (base 14) to base 4.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 35 = 2*q. Suppose 0 = -2*o - 4*d - 8, -o + q*d + 4 = -5*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5955 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 941 + 109 = 0. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.94*0.04.\nAnswer: 0.2776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/19 in -0.3, -18, 1\/5, -6, -1\/56?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/4?  (a) -5  (b) 1977  (c) 5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 10*r**2 + r - 12. Give p(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**5\/4 - 873*z**4\/4 + 84681*z**3\/4 - 2738019*z**2\/4 = 0. What is z?\nAnswer: 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -4*(-1 + (1*sqrt(475))**2).\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9785569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51108178.\nAnswer: 2, 11, 2323099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 507000135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 5. Let t(j) = -2*j. Let a = 6605 + -6598. Let s(v) = -v. Determine a*s(b) + y*t(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + s - 2*s + 14 = 0, 5*h = 3*s - 22. Let k = h - -42. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1044670?\nAnswer: 2, 5, 11, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + (1 + sqrt(208) + 3)**2)*5.\nAnswer: 180*sqrt(13) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -5*g**3 - 4*g + 1. Let p be c(-2). Calculate the highest common factor of 392 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 - 136 - (0 + (-1 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v - 8. Let g be o(-4). Suppose -z = -5*t + 23, 4*t - 2*z + 19 = 7*t. Suppose 1461 = 3*n + g*u, t*u - 4*u = n - 487. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 minus -0.004?\nAnswer: 29.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/3 + 103484*p**3\/3 - 310433*p**2 + 2483416*p\/3 - 1655600\/3 = 0. Calculate p.\nAnswer: 1, 4, 103475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 16, 15\/7, -1\/2, 1\/5, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1587*i + 10*i + 339*i + 651*i = -41392 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -458 + 458.31. Let s = -1.008 + 1. Let b = x + s. What is b rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -64*i - 126. Let d be x(-2). Solve 4*q + 41 = 5*b, d*q - 7*q - b = 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - 14*b - 38. What is the remainder when 69 is divided by a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 6*o - 8. Let p = 26 + -21. Suppose 3*l - p*s = -14, -2*l - 4*s = -14 - 6. Let h be j(l). Solve h*t - 20 = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-6)*1*3. Let z be -6*m\/(-6)*4. Let n(h) = 4*h. Let i(w) be the first derivative of -w**2\/2 + 175468. Calculate z*i(o) - n(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*r - 460 = 145*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odod. What is prob of sequence od?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*o + 16 - 36 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f**3\/4 + 1510*f**2 + 986327*f\/4 - 248092 = 0. What is f?\nAnswer: -5872, -169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 715043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -477  (b) 0.02  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16816, 16813, 16808, 16801, 16792?\nAnswer: 16781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*y - 148395 = 93*y. Suppose -5*b = -2*j + y - 41360, -29940 = -5*b + 3*j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 + 69.\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**4 - 990*z**3 - 6998*z**2 - 15042*z - 9036 = 0. What is z?\nAnswer: -3, -1, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 2094031.82 to the nearest 1000.\nAnswer: 2094000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a. Let z(d) = 3*d. Let m(p) = 2*t(p) - z(p). Let f(g) = 15*g**2 + 11*g. Let n(w) = -3*w**2 - 2*w. Let c(i) = 2*f(i) + 11*n(i). Determine c(m(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + -3. Let u = p + 5.9. Which is the third smallest value?  (a) 0.2  (b) 0.3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*(sqrt(192) + -1))**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (-6 + (2 + -3 - 0) + 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 15 - 7363?\nAnswer: -734c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -14325563 minus -18087368?\nAnswer: 3761805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 15) to base 9\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -17*c - 3. Let a be u(-2). Suppose 0 = -5*z + 2*p - a, 3*p + p = 12. Let b(g) = -g**2 - 4*g + 7. Is b(z) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152325 is divided by 419?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 108876*g - 65470 wrt g?\nAnswer: 108876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.6 * -208.\nAnswer: -1788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2072*g**2*i*w**3 + 2*g**2*w**5 - 7*g**2*w**2 + 2*g*i*w**2 - 11*i*w**2 - 3*w**2 wrt w.\nAnswer: 12432*g**2*i + 120*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 2. Let k(t) = t + 3. Let b be k(0). Let d be h(b). Suppose -3*z = 2*a, -5*z + 2 + 18 = 0. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12387583?\nAnswer: 13, 71, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 99 + -38. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(108) + -2 + -2 + 5 + sqrt(3)*2*1 + sqrt(147)*-2 + -4)**2.\nAnswer: 36*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4641991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6459928213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -988 - -1083. Let h(k) = 26*k**2 + 4*k + 3. Let b be h(-2). Let p(v) = -195 + 5*v + g + b. Let m(w) = 2*w**2. Determine p(m(d)).\nAnswer: 10*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 764 + -418. Let d = r + -153. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -c + 5*h - 4*h, 0 = 5*c + h - 15. Let n(b) be the third derivative of 0*b**5 - 1\/108*b**4 - 3*b**c + 0 + 0*b + 0*b**3 + 1\/540*b**6. Factor n(l).\nAnswer: 2*l*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 72\/445?  (a) 1.5  (b) 1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1547588 divided by 4\nAnswer: -386897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 + 4*w - 2. Let m be p(-6). Is 4\/m + (-390)\/(-25) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-20))\/(3\/(-534)). Let i = -72 + h. Solve -40*r**4 + 48*r + 10 + 3*r**3 + i*r + 3*r**3 + 4*r**3 + 105*r**2 = 0 for r.\nAnswer: -1, -1\/2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -10*u. Let d be m(0). Solve 0*b**3 + 0 + 1\/3*b**4 - 1\/3*b**5 + d*b**2 + 0*b = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - -1. Suppose 2*f + 15 = -r. Is (-56)\/f*4\/(-24)*-15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 15) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 5*w + 90 = 0, w + 0*w = 2*y - 60. Let u be (18 - 10)*(-1)\/2. Is ((-2)\/u)\/(5\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -305?\nAnswer: -91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9986 divided by -1\nAnswer: 9986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4263 + -4263.1337. What is d rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -17*y + 19*y + 27, c = -3*y + 19. Let p(j) = -4*j**2 - 3*j. Let g(k) = 11*k**2 + 10*k. What is c*p(r) + 2*g(r)?\nAnswer: -6*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -140.5 + 1.5. Let x = 139.00000078 + h. Round x to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 353710*l**2. Let v(y) = 2*y. Calculate v(j(r)).\nAnswer: 707420*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 6. Let m be (-17)\/(-102)*(60\/8)\/5. What is the second biggest value in 2\/9, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31032011 (base 4) in base 10?\nAnswer: -54149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 27 = -4*z - 5*h, -5*h = -z + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 195506950 and 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/7 + 62\/(-14) + 3. Which is the second smallest value?  (a) -4  (b) 0.07  (c) -3  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooojoojjojojjjjooojo. What is prob of sequence jojo?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 6072.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*q + 8 = 3*v, -2*v + 2*q = 0. Suppose -v = -2*t - 12. Let a = 0 + -5. Sort t, 0, a.\nAnswer: a, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 1\/5, -2, -7\/5.\nAnswer: -2, -7\/5, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, -3, 311, 3\/8, 0, 4.\nAnswer: -44, -3, 0, 3\/8, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 7. Suppose -3*o + t*o = 54. Suppose o = 5*n - 42. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*f - 14*f + 384 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (-182)\/(-21)) + (9 - 4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -298*z**4 + 14*z - z**2 + z**3 + 299*z**4 + 0*z**3 to n*z**4 + r*z + o + p*z**3 + w*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.37 and 40.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-20) + 2\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18972 - 5*x + 9234 + 9738.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 2\/13, -272, -2, 3, 0.3 in decreasing order.\nAnswer: 3, 0.3, 2\/13, -0.08, -2, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -500 (base 6) to base 10\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -892*u + 7 + 446*u + 444*u as r + n*u and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**2 - 3*p**2 - 3*p**2 + 3 + (-4*p**2 + 3*p**2 + 2*p**2)*(-2 - 2 + 2))*(-3*p**2 + 3*p**2 + 6*p**2).\nAnswer: -24*p**4 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -104. Let o be 7\/(s\/4) - (-4)\/(-14). Solve o*h + 2*h - 1 = u, 0 = -h + 3*u + 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 27925 = -3*t, 4*t - 2*t - 2*x = 18622. Round t to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(2*q**3 - 2*q**3 - 2*q**4) + 0*q**4 + 0*q**4 + q**4 - 3*q**4 + 5*q**4 + 3*q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -504, -3, 6 in increasing order.\nAnswer: -504, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, 0, 5136, -3.\nAnswer: -6, -3, 0, 1, 5136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.9 and 166946122.\nAnswer: 166946121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 796*16\/(-276)*4. Let o = 554\/3 + x. Is o not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -6 - ((1 - -22) + 0 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oobbbo. What is prob of sequence boo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 13*l + 5. Let y be (-12)\/(-12)*(0 + -13). Let b be v(y). Solve -6*x = -b*x + 2*p - 5, 5*x + 4*p + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) 0.2  (c) -24.2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*h + 168 = 60 - 308 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(110)*-5)\/sqrt(10).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 10:45 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -57 + 83 + 7 + (-6 - (-6 + 6))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -3*b**4\/32 - 121*b**3\/2 + 969*b**2\/16 + 4662*b. Factor t(l).\nAnswer: -3*(l + 323)*(3*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.2 - 2.209. What is q rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 4658*j - 9323. Calculate k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.9 + 21.3. What is g rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 787 a factor of 2121799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1967 + 2127 = -572*o + 9884 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2389\/6 + 401. Let z be 105\/(0 + -3) - -1. Find the common denominator of (z\/(-88) + -2)*2 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -3928073?\nAnswer: -1178421.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 - (20 - 14 - 9) - -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 12 = 3*t. Let y(l) = 3*l - 3. Let x be y(t). Suppose 3*p + 26 = 5*w, 2*w - 17 + x = p. Calculate the smallest common multiple of 10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.15 + 0.25. Let o be (8\/6)\/((-22)\/33) + 1. What is the nearest to o in 2\/7, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6172 + -1735. Let d = h - 2795. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, g: 5, q: 5, b: 2}. Give prob of picking 1 r, 1 g, and 2 b.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Express (234 - 21 + 48)*(-8*v**2 + 3*v**2 - 5*v**2) in the form u*v**2 + a + h*v and give u.\nAnswer: -2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6468827.\nAnswer: 29, 223063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62 + -33. Suppose k + g - 9 = -4*r, -24 = 5*r + k. What are the prime factors of r*(-1 - (-2 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*b + 22*b - 9*b)*(3*b - 4 + 0*b + 7 + (-2*b - b + 7*b)*(1 - 2 + 2)) + (1 - 1 + 2*b)*(-2*b + 0*b + 0*b).\nAnswer: 423*b**2 + 183*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 9*a**2 - 2*a - 1. Suppose -3*o + j + 3*j = -1, o - 1 = 2*j. List the prime factors of h(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 753909*p**6 + 791*p**2 + 62*p?\nAnswer: 90469080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + -30075.9151.\nAnswer: -30076.0151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -18  (c) -21573  (d) 4  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37400198 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4340 is divided by 1083.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1701 take away -0.0104876409?\nAnswer: 0.1805876409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u**2 - 23*u + 24. Let q be x(1). Let y be -8 + (160\/q)\/4. Solve y*g = -4*m + 4*g - 16, -5*m + 25 = 4*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -9*m + 1. Give z(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -240, -1014, -3034, -6924, -13308, -22810?\n\"Answer: -104*x**3 + x**2 - 49*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -84983.9?\nAnswer: -84984.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11630240 rounded to the nearest ten thousand?\nAnswer: -11630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - -75778?\nAnswer: 75786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vbwvbwvbvwb. Give prob of sequence vvw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/20 and 37\/390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 less than 520088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/(-442)*-65 + 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10484 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322162910 is divided by 712?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 1\/4, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 8. Let a = 4915 + -4907. Solve -a*v = -g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2850953*q**4 - 7622887*q**2.\nAnswer: 68422872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -41\/12, -2, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -734*u = -897*u - 1956 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 213704 divided by 26713\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46707.09 milligrams to kilograms.\nAnswer: 0.04670709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -30841288?\nAnswer: 30841283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 20 = -0*z. Suppose 0 = z*w - 13 - 23. Let c be (-4)\/(-3 + -1 - -5). Sort 5, c, 3, w.\nAnswer: c, 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.3 - 6.3. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -56 + 24 + -1 + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29776529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30283 and 0.10787?\nAnswer: -3266.62721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 10*z - 10. Are z and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27843 divided by 3?\nAnswer: -9281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**3 - w**2 - 3*w - 3. Let m(p) be the first derivative of p**4\/4 - p**3\/3 + p + 3. Let a(v) = l(v) + 2*m(v). Determine x so that a(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in 4, 7, -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/sqrt(99) - (1 + sqrt(192)).\nAnswer: -23*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 - 1 + 2*i**2 - 2)*(3*i**2 - 2*i**2 + i**2).\nAnswer: 4*i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 6 = -2*v, -s = v - 2*s - 3. What is the second derivative of -4*d**2 + 150 - 150 - d + v*d**2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(2) + sqrt(14))\/sqrt(2) + -6*(0 + sqrt(7)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -833 = -3*b + 1126. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1741 in -2\/9, 6.5, -0.11, -4, 1?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11628 and 4924458.\nAnswer: 9848916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 12*f**2 - 63*f - 18. Calculate w(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3*c - 1 + 2)*(4*c**2 - 3*c**2 - 2*c**2).\nAnswer: 3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 14*d - 9. Determine o(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v + 2. Let n be b(4). Let p be 0*(-3)\/n*-1. Solve -5*c = -p*x + x - 4, 4*c - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 divided by -3254?\nAnswer: -102\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4451.3160002 - 4451.25. Let g = y + -0.066. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 6, 4\/3, -136, -3, 0.035, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r + 123 = -23*w + 18*w, w - 5*r - 73 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/(-24))\/((-1)\/(-8)*-2). Solve -2*i - 6 = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 515\/3903 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 5*z + 362, 3*t - 314 - 832 = 5*z. Let o(r) = -2*r**2 - 44*r - 176. Calculate the remainder when t is divided by o(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76 + -60. Factor 3*u**2 - 1 - u**2 + n*u + 15.\nAnswer: 2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*i + 24 = -24*i. What is the least common multiple of i and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -465*n + 1. Let v be q(1). Let h = -213 - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*d - 2980 - 220 = 0. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -7*h + 59*h - 1 + 130*h + 84*h. Let l(b) = b + 1. Let c be l(2). Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 7*n**2 - 7*n - 2. Let c be g(-6). Suppose c*o + 4*q = 3*q + 25, -4*o + 3*q + 37 = 0. Let b(z) = z**2 + 0 - 12 + o + z. Give b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 67, 70, 73?\n\"Answer: 3*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/(-7))\/(225\/8400) + (4 - 1). Solve i - 21 = -7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 721574 is divided by 286?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -152*l + 455. Let t be r(3). Let c(d) = 11*d**3 + d**2. Determine c(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1664.2 + 1663. Which is the smallest value?  (a) 0.06  (b) 2  (c) -3\/5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9 + 5 - 5)*(2359*l - 1269*l**2 - 2359*l + (0 + 3 - 2)*(2 - 2*l**2 - 2)) as d + x*l + b*l**2 and give b.\nAnswer: 11439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -36 - 2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 88.3931 to one dp.\nAnswer: 88.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 * 5\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24556 - -16376. Let z = -4593 - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 502094 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -26, -2 in increasing order.\nAnswer: -26, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*n - 37 = 5*g - 31*n, 4*n = -g - 17. Let z(m) = m**3 - 3*m + 1. Let l be z(2). Let o(u) = -u**2 + 15*u + 32. Let s be o(17). Sort s, -26, g, l.\nAnswer: -26, g, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 66 and 4554.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y - 1. Let w(o) = -50*o + 30. Let k(m) = -15*q(m) - w(m). Let a(f) be the third derivative of -3*f**4\/8 + 2*f**3\/3 + 12*f**2. Give -15*a(l) - 4*k(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 187.4 not equal to 2306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 plus 359?\nAnswer: 358.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2 + 6*g + 12. Let c be j(-2). Find t, given that -7*t**4 - 5*t**3 + c*t**4 - 4*t**4 - 7*t**5 + 12*t + 20*t**2 - 17*t**4 = 0.\nAnswer: -2, -1, -6\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*w**2 + 0*w**2 + 3*w**2 + 2*w**2 + 2*w**2 - 3*w**2 + 3*w - 2*w**2 - 3*w + (w + 0*w - 3*w)*(2*w + 5*w - 4*w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -212*j**2 - 4666*j + 24. Calculate c(-22).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 5. Let r be 7\/z*-4*1. Is 340\/r + 10\/(-35) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -4*p**3 + 4*p**2 - 2*p - 1. Let v(u) = -47*u + 473. Let d be v(10). Calculate t(d).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -w**6\/24 + w**5\/20 + 3*w**2\/2 - 2. Let r(p) be the second derivative of u(p). What is the third derivative of r(d) wrt d?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3301286 divided by -4\nAnswer: 1650643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/12 - ((-12)\/9)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 171017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -138*s + 935 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3329923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((105\/266)\/(-3))\/(20\/(-16))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -218*q + 83. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 452640 divided by 6.\nAnswer: 75440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*r + 7 = 0, -5*w = -0*r - r - 26. List the prime factors of 455\/26*6\/w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24339*z - 1758*z**2 + 24339*z)*(3*z + 0*z + z) in the form d*z**3 + j*z**2 + a*z + w and give d.\nAnswer: -7032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36.004 + 36. Let t = -1.104 - q. Is t greater than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 + -40. Let f = i - -16. Sort 11, 5, f.\nAnswer: f, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2056381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-8)*-1*16\/12. Let 1\/2 + 1\/2*s**g + s = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hewc when four letters picked without replacement from {e: 2, w: 4, c: 3, h: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 10:37 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 830382, 830380, 830378, 830376, 830374?\nAnswer: 830372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*m**3 - 6*m**3 - 6*m**3 + 10*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -4*h**2 - 10*h - 7. Let x be s(-3). Which is the second smallest value?  (a) x  (b) 0.5  (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/37650 and 33\/20.\nAnswer: 75300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 2*j - 5. Let f be u(4). Let b be f\/3 - (6 - 0). Let w(y) = -y - 12. Determine w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 = 1. Suppose -2*y + 4 = -v. Solve l - 9 + 2 = y*p, -3*p = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8 + ((-2)\/6*0)\/(-1). Solve o*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*r - 3*i, 0*r - 12 = -2*r - 4*i. Let j = -9 + r. What is the remainder when 39 - -2 - (j + 1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43.3 - -33. Let s = -10 - q. Let z = -0.3 - 0.7. Which is the nearest to z?  (a) s  (b) 3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53639959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 42, 99, 178, 279, 402?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 14855  (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 848, 1702, 2570, 3458, 4372?\nAnswer: 5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -16*k**2 - 7*k + 4. Let z(x) = -x**3 - 3*x**2 + 3*x + 5. Let c be z(0). Let t(v) = -11*v**2 - 5*v + 3. Calculate c*j(w) - 7*t(w).\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 17.6. Let x = 0.3999992 + z. Round x to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5\/4, 6, -3, 0, -2.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20745 - -21105. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 77668 or -0.05?\nAnswer: 77668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -98\/255 or -1?\nAnswer: -98\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**4\/8 + m**3 + 2*m**2. Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a02758 (base 12) to base 5\nAnswer: -1114232402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/2 - g**2 - g\/2 + 1.\nAnswer: (g - 2)*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 + 0. Let u(y) = -2*y**3 - 13*y**2 - 4*y - 1. Let q be u(-6). Let m = q + c. Calculate the highest common divisor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - 6*t**2 - 27. Let p be o(-8). Suppose p = -3*h + 560. Calculate the greatest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -35*z + 356732 + 32188. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -24 + ((-2016)\/(-40))\/(-14).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 99*c**2*o*y**3 + 774*c**2*o*y + 2*c*o*y + 100*c*o + 71*c*y + y**3 wrt c.\nAnswer: 198*o*y**3 + 1548*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((0 + 4)\/(-12))\/((-20)\/(-8)). What is the closest to g in -1\/4, -1\/3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 43. Let t(k) = -74*k**z - 89*k**2 + 157*k**2. Let u(a) = 2*a. Determine t(u(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.4  (b) -151  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 537*u + 330 = 559*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/25*-5 + 14. Let n = o + -12. Solve n*s = 1 - 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 1:03 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3577 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 187\/618674, 4.\nAnswer: 187\/618674, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, 8.97, 1, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 6:08 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 982 is divided by 138?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -248*f - 8. Let d be x(-2). Let q = d + -36. What is the remainder when q is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223*o + 121*o = -510. Let 36\/5*f**4 + 6*f**3 + 0*f + 6\/5*f**o + 0 + 0*f**2 = 0. Calculate f.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k + 1141680 - 1141956 = 0 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -7*k**3 - k**2 - k - 1. Let a be t(-1). Let l(s) = 4*s - 16. What is the remainder when 29 is divided by l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-85)\/(-25) - (-2)\/(-5). Suppose -2*z - 1 + 2 = -f, -3*f = -3*z - d. Let w(t) = -4*t**3 + 4*t**2 - 6*t - 7*t**z + 4 + 5*t**3. Calculate w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/422 and (-792)\/844 + (-6)\/(-2) + (2 - 4).\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 5*n - 5*w, n + 18 = 4*w + 2. Let d be 4\/48*9*n\/(-15). Let g = 19\/72 - 1\/24. What is the nearest to 0.1 in d, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 226*r**2 + 163 + 30 - 231*r**2 + 45 to the form n*r**2 + v*r + s and give s.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -19*l + 14*l - 5, 5*h = 10. Sort 6, 2, -21, l.\nAnswer: -21, l, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2. Let d(z) = -7*z**2 + 3*z + 6. Let g(j) = -d(j) - 2*y(j). What is the tens digit of g(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14 and 28160.8989?\nAnswer: 28174.8989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g - 1. Let j(a) be the first derivative of -2 - 5\/2*a**2 + 4*a + 1\/3*a**3. What is -2*j(f) - 9*p(f)?\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/5)*t\/(t\/t**(6\/7)))\/(t\/t**(-1))**(-13\/7))**(-50) assuming t is positive.\nAnswer: t**(-1740\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 20*t + 20. Give h(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1066 - 1022. Suppose 0*l - 2*w = -3*l + 334, 4*l - 442 = w. What is the highest common factor of c and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 321206823 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 y, and 1 l when four letters picked without replacement from {l: 2, d: 1, t: 7, k: 3, y: 5}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3999 - -4004. Let x(d) = d**3 - 5*d**2 - 7*d + 3. Determine x(k).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 10 + 31*c**2 - 10*c**2 + c**3 + 5*c + 165 - c + 24*c**2. Calculate l(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -286684, -1146727, -2580134, -4586905, -7167040, -10320539, -14047402?\n\"Answer: -286682*j**2 + 3*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -31a (base 13) to base 12\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/21 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -5.4. Let u = 442 + -233. Let j = u - 208.9. Sort j, x, 4\/5.\nAnswer: j, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/137 or 0?\nAnswer: 9\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 72582.3?\nAnswer: -72585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1401668 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 15  (b) -2\/7  (c) -38  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42*1 + -164*(-572)\/(-5863)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence did when three letters picked without replacement from didddddiii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 4, 0, -269 in descending order.\nAnswer: 4, 1, 0, -2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1024)\/(-56) - (1 - 5\/7). Let o be (w\/2460*-3)\/((-26)\/(-1777)). Let k = o - -4\/205. What is the common denominator of -11\/14 and k?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236 + -357 - (-210 + -14)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -139484 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 1\/167632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 192 + 6 = 0. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(6\/11)*k))\/k*k*k\/(k**(2\/87)\/k*k) assuming k is positive.\nAnswer: k**(413\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -155.96 - -156. Let i = 5.96 + f. Is 10 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.1 + 23. Which is the biggest value?  (a) 0  (b) -4\/7  (c) -0.4  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 246 - 117. Suppose 7*s - 138 = -5*q + 3*s, 4*q - 3*s = t. Suppose -4*a = -q - 34. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 2*r - 3751\/3*r**3 + 6*r**2 + 0. Let n be b(6). Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/20*((-26775)\/60)\/51.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 (base 8) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a. Let h(s) = -s**2 - 12*s. Let b be h(-9). Let m = b + -26. Calculate the remainder when t(2) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -19104350.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 76.89 - 72.8. Let j = 0.09 - x. Let g be ((-6)\/15)\/((-4)\/20). Which is the biggest value?  (a) j  (b) 3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/24)\/(2\/20). Let f(r) = 5*r**2 - 3*r**2 - 1 - x*r**2 + r**2 + 15*r. Is f(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = o - 2*d, -o + 5*d = 4*o. Let z(l) be the first derivative of l**3\/3 + 3*l**2\/2 + 2*l - 40. Let j be z(o). Solve -3*f + 0*f = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 15. Let d = 9 - s. Let x = 0.427 - -0.073. What is the nearest to d in 0.2, x, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.14503 - -0.34503. Let q(v) = 2*v - 3. Let n be q(4). Sort -0.5, n, 0.4, o in increasing order.\nAnswer: -0.5, o, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13361 - -13341. What is the biggest value in -1, -2, 6, l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - 4\/(-1)) + (-2 - -7). Let p(h) be the second derivative of 0*h**2 - 5\/12*h**w + 0 + 2*h**3 - 7*h. What is the second derivative of p(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 - 1199*q + 2256*q + 3*q**2 - 533*q - 524*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*t**4 - t**4 - 17*t**4 + (2*t**2 - 1 + 1)*(4*t**2 + 0*t**2 - 3*t**2) + (-3*t**2 - t**2 + 5*t**2)*(-t**2 + 3 - 3).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 184906 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*2\/(-10))\/(49\/(1813\/(-74))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 + 1368*h - 139524.\nAnswer: -3*(h - 302)*(h - 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/3*(-6)\/(-4). Let q(b) = 12*b. Is 9 a factor of q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - y - 54 + 39 = 0, 2*a + 15 = -7*y + 6*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 13*q**2 + 19*q - 11. Let h be t(11). Let u = 26 - h. Suppose -u = -o - o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 161*a + 14 = 157*a, w + 21 = -3*a for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53844?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 103 in decreasing order.\nAnswer: 103, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -6*c + 32. Suppose -c*g = -3*g. Let x be 24 - (-3)\/(3 + g). What is the highest common factor of 50 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -299796*k**2 + 5 - 5 + 18156*k**2.\nAnswer: -281640*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + -6)\/((-8)\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -6*z**2 + 20904*z - 3. Let m(w) = -30*w. Determine m(i(u)).\nAnswer: 180*u**2 - 627120*u + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h - 1 + 0*h**2 + 2*h**3 + h**2 - 4*h**3. Let m be -1*(-3 - -3 - -2). Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/16*4*8*(-12)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360.2979 + 348.72. What is h rounded to one decimal place?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + 1)*-6 - (-1 + (sqrt(171) - (sqrt(171) + sqrt(171)*2 + sqrt(171))))**2.\nAnswer: -1546 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p - 2. Let s be a(-6). Suppose 2*h = -r + 7 - 2, h - 5*r + 3 = 0. Suppose -3*u + s*u - h = 0. What is the highest common divisor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -dac96f1 - -3?\nAnswer: -dac96ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n + 16*n - 18*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 96*t - 27. Let y be q(6). Suppose 47*n - 44*n = y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 418943416 and -0.4634.\nAnswer: 418943415.5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 - -31.3. Let u = o - 2.8. What is the nearest to -2 in -0.4, 0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11711280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b0 + 0?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 21 - 26)*(1 - 3 - 2 + 1 + 3 - 2 + 4 - 1 - 2 + (-2 + 0 + 1)*(-2 + 3 - 3))*(-3*n**3 + n**3 + n**3).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**3 - t**3 + t**3)*(2*t**2 + 4 - 4) - 320 - 2202*t**5 + 972 - 324 - 328.\nAnswer: -2204*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvfvfvvvvvv?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 125975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -54*t**2 + 251*t - 270. Give o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 + 48*n**2 - 332*n + 1934. What is d(40)?\nAnswer: 1454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -3, 41, 121, 243, 413?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 600\/((-650)\/(-26)) - 9\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**2. Let f(y) be the third derivative of 0*y**3 + 0 - 4*y**2 + 0*y**4 + 1\/30*y**5 + 0*y. Determine c(f(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.92 times 0.38\nAnswer: -0.3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -21*f**5 - 43*f**4 - 2*f**3 - f**2 + 7*f. Let l(z) = -21*z**5 - 42*z**4 - 3*z**3 + 6*z. Let i(b) = -7*l(b) + 6*v(b). Factor i(g).\nAnswer: 3*g**2*(g + 1)**2*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1. Suppose -10*q = 52*q - 22506. Let c = 363 - q. Solve i = -f - c*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 - -51. Solve -12 + r = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -2. Suppose 939 = 3*b - l, t*b + l - 436 = 1121. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -2\/35  (c) -211015.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 10}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/9003 and 29\/279093?\nAnswer: 279093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 488 + -97. Let v = -496 + f. What is the closest to -2\/7 in v, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = c - m, -5*c - 4*m = -0*m - 65. Let n = -13 + c. Is n bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-1)\/(-7)) + (-81)\/(-189).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 404, 7011, 24952, 59897, 117516, 203479, 323456, 483117?\n\"Answer: 945*i**3 - 3*i**2 + i - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 173, 352, 507, 632, 721, 768, 767?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {o: 4, k: 2, u: 1, h: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.815 - 8.815. Which is the third biggest value?  (a) -3\/11  (b) 4\/3  (c) 0.4  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by -4 + -6 + 20 + 0 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 98 + -889205\nAnswer: -889107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 6\/11  (b) -3  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 7, 13, 2, 4.\nAnswer: -4, -3, 2, 4, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/10 - 6\/(-4). Suppose 2*h = h - 3*u + 12, 0 = -h + u - 4. Determine g, given that 0 + 0*g**4 + h*g**2 + 4\/5*g**b - 2\/5*g - 2\/5*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.226 + 8.726. Which is the closest to -1?  (a) k  (b) -13  (c) 5  (d) -0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 90215620 to the nearest one hundred thousand.\nAnswer: 90200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 135956639 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 2*y + 4. Let c be o(0). Find the first derivative of 4 - 2 - 2*f**c - 1 - 3*f**4 wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -30413, -30425, -30441, -30461, -30485, -30513, -30545?\n\"Answer: -2*d**2 - 6*d - 30405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 4:28 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -92913, -92922, -92933, -92946?\n\"Answer: -p**2 - 6*p - 92906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.554948 plus 72?\nAnswer: 66.445052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2524, -10121, -22782, -40507, -63296, -91149?\n\"Answer: -2532*x**2 - x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 3:06 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 9:08 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -5)*(-4)\/((-48)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeejkkebknsne. Give prob of picking 1 j, 1 k, and 1 s.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l - 2. Let w(j) = -4*j - 2. Calculate -3*r(p) + 2*w(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.1 - 7. Let x = 2 + -7. Are x and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*q - 10 = -34*q + 2*s, 2*q - 3*s = -23. What is the smallest value in 0.13, -21, q, -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6300) + 5*(1*sqrt(6300))**2)*2.\nAnswer: 60*sqrt(7) + 63000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.5 - 0.6. Let b = -21\/706 + 11485\/6354. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 9 - 7 - 2*z - 12*z**2.\nAnswer: -12*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*i + 210 = 320*i - 156*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) -2\/17  (c) -10904  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13184700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/4)\/w)\/w)\/((w\/w**(-2))\/w)*(w\/((w**(1\/3)*w*w)\/w))**(29\/5)*(w**0\/w**(-1))**(-2\/15) assuming w is positive.\nAnswer: w**(-349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-2) + (-2)\/(-2). Let b = 1 + -0.99. Let j = b - -0.49. What is the nearest to n in 3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 4*l + 1, -3*l - 2*l - 30 = -2*p. Suppose 4*d - 5*s = 7, 2*d - 3*d = p*s - 8. Suppose i = d*i - 970. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 6 = -10*q. Let a(u) = -360*u - 4 - q + 132*u. Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1)\/(m**7\/m)*((m\/(m**1*m))\/m)**(-45))**(4\/13) assuming m is positive.\nAnswer: m**(332\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289*x**3 + 285*x**3 + 322889*x**2 - 322889*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3981, -8162, -12357, -16572, -20813, -25086?\n\"Answer: -g**3 - g**2 - 4171*g + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 5. Calculate the remainder when (0 + 0 - -1)*22 is divided by s\/15 + (-116)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3951 and 3927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/13)\/(n*n**(-12))*(n**(-4\/5))**(-3\/28))**(-2\/93) assuming n is positive.\nAnswer: n**(-3316\/14105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1166)\/7 + 90\/(-210). Let q = v + 180. Let d = -4 + 7. Solve q = -2*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -677240  (b) 4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*g - 2*g - 2*g - 5*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, c: 4, m: 3, x: 2}. What is prob of picking 1 m, 1 x, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*((-2)\/4 + 2). Let q = 17 - n. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbuu when four letters picked without replacement from {b: 2, u: 7, v: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*l + l + 6*l = 703 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 751.0779 - 0.0779. Let q = c + -766.62. What is q rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 700420 is divided by 175103.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -49*p**2 + 43*p - 957. Let h(s) = -2*s**2 + 8*s - 1. Let v(c) = d(c) - 5*h(c). What is the derivative of v(t) wrt t?\nAnswer: -78*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of -2*h**6\/3 - 2*h**5\/3 + 10*h**4 - 40*h**3\/3 + 16*h**2\/3 - 48. Find l, given that k(l) = 0.\nAnswer: -4, 0, 1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*h**2 - 45*h + 226\/5.\nAnswer: -(h - 1)*(h + 226)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4211 is divided by 581.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 648*o + 5907. Determine k(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zjjj when four letters picked without replacement from {z: 1, s: 6, j: 6, n: 4}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9046110 and 802683.\nAnswer: 12741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00019897 rounded to 6 decimal places?\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 40410000 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -2385306 to the nearest one thousand.\nAnswer: -2385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -414 - -423. Let h be 14\/6*(y + 228\/(-28)). Solve -h*n + 7 = 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2918, 2917, 2916?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 396351.9 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*w + 5*w - 2*s + 5, -3*s + 10 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/65 at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87041?\nAnswer: 87041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 556 + 293 - 82 = -59*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 + 24. Let v(b) = 8 - x*b**2 - 5 - 3. Let g(n) = -2*n**2. Determine g(v(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -381 + 411. Solve 0*t = 6*t + s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91985 (base 13) to base 9\nAnswer: 436762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.2  (b) -1\/3  (c) -136  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/3 - 32*d**2\/3 - 70*d\/3 + 104\/3.\nAnswer: -2*(d - 1)*(d + 4)*(d + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of -u**8\/6720 - u**5\/20 - 2*u**2. Let n(i) be the third derivative of g(i). Let d(v) = 3*v. Calculate n(d(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/(-15))\/(5\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 147\/(-1617) + 276\/22 - 13*1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4784472 and 756?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1430*g + 76*g - 431*g + 799*g + 3107*g.\nAnswer: 4981*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 a when four letters picked without replacement from aayuquuuuauuuuuua.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*c + 5*h - 18017, 2*c = -5*h + 12020. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(6\/11)\/(k*k*k**(3\/7))*k**2\/(k*k\/k**23) assuming k is positive.\nAnswer: k**(1626\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60712208.80000065 - 60712207. Let h = -1.792 + -0.008. Let k = h + u. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1017 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 10 = 0, j + 5*w - 18 = 6. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -12*s + 9*s. Let l be s\/(-4 + (-14)\/(-4)). Solve l = 2*n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 300 - 299.99999194. Round q to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k - 8, 3*p - k = -0*p - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 432 divided by -144.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**2 - 2. Calculate the least common multiple of c(-1) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 997*f + 1 + 505*f + 500*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 2*g + 8, m = -2*m - 2*g - 8. Let r = m - 0. Let d be ((-6)\/8)\/(35\/28). Which is the second smallest value?  (a) -2\/3  (b) d  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 314201*w = 314088*w - 1437 + 307 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 11 = -5*t. Suppose -3*w = t*w - 15. Solve 0 = k - w*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - 11*v - 11*v + 15*v)*(4 - 4 - 2*v)*(3*v - 8*v + 0*v)*(-v + 4*v - 2*v).\nAnswer: 10*v**5 - 70*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 3*q + 11, 3*q + 10 = -u - q. Suppose u*w + 1 - 7 = 0. Solve -d - w*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12556, 13035, 13490, 13909, 14280, 14591, 14830?\n\"Answer: -2*m**3 + 493*m + 12065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25837 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*y - 42*y + 260 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1135893 - -14774139\/13. Let o = -578 + f. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2326.44 + -2328.04. Let b(i) = -2*i. Let u be b(3). What is the second smallest value in u, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 - h - 1. Let t(d) = 14*d - 8 + 1807*d**2 + 1807*d**2 - 16*d - 3611*d**2. Give 2*r(o) - t(o).\nAnswer: -o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13588.4179 - -13586. What is b rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that t**4 - 1279*t**3 + 190830*t**2 + 1588288*t + 3217760 = 0.\nAnswer: -4, 182, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 5. Suppose t + 396 = c*t. Suppose 2 = -4*b + 50. What is the highest common factor of b and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1525813 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 3*z**5\/20 + 2*z**4\/3 - z. Find the third derivative of d(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 2*t, 3*x + 2*t = 2 - 7. Let g = 0 - x. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1887 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 + (-10)\/(-2) - 6) + 6383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 - 16*q**2 - q + 359. Calculate o(0).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 11, j: 3, v: 4}. What is prob of picking 3 p and 1 v?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/36*7\/(147\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59 - 59 - 4494*l**2.\nAnswer: -4494*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/9)\/((-33)\/(-9) - 0). Let r = 31 + -11. Let k = r - 16. Sort z, k, 5 in descending order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 92*h*q + 300*h - 2*q with respect to q.\nAnswer: 92*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {r: 1, a: 2, x: 1, w: 1, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1494 from -0.2.\nAnswer: -0.0506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**4\/8 - m**3 - 173*m**2\/2 - 51*m. Let y(b) be the first derivative of v(b). Calculate y(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18490779743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/150 - (35\/6 - (-30)\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1837.11 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 53766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**3\/7 - 2054*o**2\/7 - 180000*o\/7 + 79776 = 0.\nAnswer: -84, 3, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - o - 270 = 0. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.732306 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 8*s**2 + s + 1. Let y be ((-30)\/(-6) + -4)\/((-2)\/(-166)). Let r = -84 + y. Calculate p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-1)\/((-4)\/4))\/((-21)\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - z + 4*w - 16 = 0, -18 = 2*z - 2*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2745226 (base 8) in base 7?\nAnswer: 6365640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*a = 4*v - 3123, 0 = 4*v - 3*a - 6255. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of -8*m**2 + 0 + 0*m - 1\/30*m**5 - 1\/12*m**4 + 0*m**3. Factor t(n).\nAnswer: -2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 862649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 3*l + 27, -5*f + 18 = -f - 2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 30 + 0*j + j.\nAnswer: 2*j + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbbbbbbbbbbbbjc. Give prob of picking 2 b, 1 j, and 1 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -237 - -256. What is the remainder when 93 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 21 = r. Let h = -11 + 27. Let n = 23 - h. Calculate the highest common divisor of r and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + p + p + (-2 + 0 + 0)*(-172*p - 1 + 171*p - 1))*(-3 - 2 - 3).\nAnswer: 16*p - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/7790 and 29\/5?\nAnswer: 7790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2 + 26*a + 18. Give t(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*x - 18 = 0, -3*j + x = 6*x - 37. Suppose -j*l - 26 = -68. Suppose 4*s - l*c + 4*c = 418, -5*c = -2*s + 198. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*u + 18 = -28*u. Suppose u*w + 1954 = 8*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7152 is divided by 341.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2546107 is divided by 1273043?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**4 + 2*o**3*t + o**3 - 6*o**2 + 5*o*t wrt o.\nAnswer: 48*o + 12*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -203 - -378. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m = -3 + 111. Suppose -1 = -2*h - 5, -122 = -5*l + h. Calculate the remainder when l is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2. Let i(x) be the third derivative of x**5\/12 + 2*x**2. Determine i(l(n)).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**3\/2 + 1269*n**2\/2 = 0. What is n?\nAnswer: 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 4*h - 1. Calculate the remainder when 30 is divided by (h\/4)\/((-1)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/63*1)\/((-2)\/6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -4b8b69c?\nAnswer: 4b8b699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36124 and 31198?\nAnswer: 686356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8619 and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010100 (base 2) in base 9?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4722 - -4790. Solve 0 = -23*h - w - 47 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 324611223 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ebb when three letters picked without replacement from ebssshssbssbbb.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -177 + 229. Suppose 0 = -l + 2 + 11. What is the highest common divisor of l and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/5 + (-1870)\/(-275)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 * -1536.\nAnswer: 92.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1526267, 1526270, 1526271, 1526270, 1526267, 1526262, 1526255?\n\"Answer: -g**2 + 6*g + 1526262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 51 + 4 - 4*a + 4*a - 2*a. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9857*d**4 - 9867*d**4 + 1051*d**2 - 2*d + 19722*d**4 + 1 to the form y*d**4 + o*d**2 + b + c*d**3 + x*d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -276a27 (base 14) to base 2\nAnswer: -101001100110001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(208)*1 + -3 + -3*(sqrt(208) + 3) - 3*(0 + (sqrt(208) - (sqrt(208)*-1 - sqrt(208))*-4))))**2.\nAnswer: -1368*sqrt(13) + 75169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 115 + -118. Let j = 4.04 + -0.04. Which is the nearest to -1?  (a) -2  (b) j  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/12 and 133\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/21?  (a) -132  (b) -3  (c) 4\/9  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 544*s**2 + 284*s**2 - 3 - 7 + 10.\nAnswer: 828*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 - -35. Suppose 5*v - d = 0, -3*w = 4*v - 20 - 3. Let y(c) = -c**3 + 4*c**2 + 8*c - 5. Determine y(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 21\/(231\/(-88)) + 10. Let i be 5\/(-8)*4\/(-10). What is the nearest to i in -3\/5, -5, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 2*b - 466, 2*b = 3*b + z - 241. Find the common denominator of (-2)\/4*b\/(-51) and ((-142)\/(-9))\/(3432\/(-3861)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1192 + 1248. Calculate the lowest common multiple of r and 77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 - 25. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -56.46177515 to 1 dp.\nAnswer: -56.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 9 = -3*q, 0 = q - 10*q - 2*t + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 6 = 4*t, 14*o = 4*t + 11*o + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qs when two letters picked without replacement from oqs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.952359 millilitres?\nAnswer: 0.000952359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -750*p**2 - 3906*p - 19202992 wrt p?\nAnswer: -1500*p - 3906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 144 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/80 and -107\/6216.\nAnswer: 62160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1130)\/(-7458)*(-264)\/900.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - -2. Let a(m) = 33*m + 2. Let z be a(1). Suppose 23*i - 18*i = z. What is the highest common divisor of b and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 4*i**3 + 2*i**2 - 5*i**3)*((3 + 0 - 1)*(1 - i**2 - 1) + i**2 + 3*i - 3*i).\nAnswer: i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**3 + 26*h**3 - h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11158 + -17266. Let u = -6106.7703 - p. Let l = u - 1.24. What is l rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*w = -4*p + 76*w - 145*w + 29, -5*p = 4*w + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30279.9984 + -30284. What is i rounded to one decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 - 13. Let z be 0 + (1 - -3)\/d. Let 1\/6*x + 1\/6*x**2 - z*x**4 - 1\/6*x**3 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 3.7. Let s = 35 + -35. What is the closest to 1 in 5, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 20. Let v be 32*(-1)\/r - -2. Let w be (-44)\/(-12)*483\/3542. What is the nearest to v in w, -0.3, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {n: 9, e: 2, a: 5}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.873531 grams to kilograms.\nAnswer: 0.005873531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 66723795 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/237 + -221\/3792. Does m = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*k**4 + 43*k**4 - k + 44*k**4 + 9 + k**2 to the form g*k**2 + w*k**4 + s + u*k**3 + x*k and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 7) + 2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 9*m - 111. Suppose -n + 174 = 4*c, -5*c - 449 - m = -3*n. Let l = -64 + n. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**3\/3 + 10714*n**2 + 42868848*n - 1426363488 = 0. Calculate n.\nAnswer: -8052, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 34023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 1 = -3*w. Let z(q) = q**2 + 9*q - 16. Let s be z(-10). Calculate the least common multiple of 10 and w\/3 - 58\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 89451.44 * 0.054\nAnswer: 4830.37776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 0.112, -433\/15, -4, -2\/5, 3\/2?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, 10, -1\/5, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 12, 56, 166, 378, 728, 1252?\n\"Answer: 6*y**3 - 3*y**2 + 11*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4.7 + -324666\nAnswer: -324661.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -0.09. Let y = -0.09 + n. Which is the nearest to y?  (a) -2\/5  (b) 0.3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-24)*15\/5)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((3*sqrt(312)*-4)\/sqrt(12))\/(-5*sqrt(128)*-1).\nAnswer: -3 - 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = v + 3*v. Let z = -2 - v. Suppose -4*c = c - z. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -114951077, -114951080, -114951083, -114951086?\n\"Answer: -3*f - 114951074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53*(-17 + 432\/24).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1428629 is divided by 189?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -134 + 133.9999882. What is n rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -61*q + 63*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15\/4*d + 45\/2 - 5\/4*d**2.\nAnswer: -5*(d - 3)*(d + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 16*k. Let n = -6 + 8. Let q(l) = -20*l**n + 46*l**2 - 27*l**2. Determine q(h(r)).\nAnswer: -256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 + 157. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -4*i**4\/7 + 9552*i**3 + 1071004*i**2\/7 - 2609976*i\/7 - 3614112\/7 = 0.\nAnswer: -18, -1, 3, 16732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2 + 6*g**2 + 2 + 0 + g**3 + g**2 + 7*g. Let w = 107 + -111. Calculate n(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85335738 or -85335737?\nAnswer: -85335738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1923379720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 5. Let z be (k + 9)*(-2)\/(-8). Suppose -g - 161 = -2*d, 2*d + z*d = -g + 420. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -26801, 5, 4, 1, -1 in descending order.\nAnswer: 5, 4, 1, -1, -3, -26801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.024*50742\nAnswer: 1217.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -8*w + 252. Suppose -33*l = -w*l + 351. Calculate the remainder when l is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 4*u**7\/105 - 7*u**6\/10 - 19*u**5\/15 + 31*u**4\/2 - 110*u**3\/3 + 321*u**2 + 2*u. Suppose f(n) = 0. Calculate n.\nAnswer: -5\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0 - 6*o**4 + 61*o**3 + 41 - 61*o**3 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -519 * 35372\nAnswer: -18358068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.592743 years to decades.\nAnswer: 0.0592743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - -2. Let i = -3 + a. Let c be (0 - (i - -2))*-1. Solve z - 2*w = 3*z + 8, z + c*w = -24 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 664 and 249.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 6 = 5*o. Suppose o*c + 2*v = 33, -5*c - 5*v - 32 = -87. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1*(-2)\/4)\/(((-369)\/(-1410482))\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34136 divided by -4.\nAnswer: 8534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**4\/5 + 156*o**3\/5 - 32*o**2.\nAnswer: 4*o**2*(o - 1)*(o + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -572 = -15*w + 13*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**5*(p**(-8)\/p)\/p*p*p*(p*(p\/(p**(-1\/2)\/p*p))\/p*p)**21 assuming p is positive.\nAnswer: p**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5 - 5*m**4 - 8*m**3 + 12*m**2.\nAnswer: m**2*(m - 6)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003925 rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u**2 - 47*u - 4. Let i(d) = 5*d**2 + 70*d + 6. Give -5*i(h) - 8*w(h).\nAnswer: -h**2 + 26*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/39945 and -37\/1531?\nAnswer: 61155795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/1833860 and 57\/1047920?\nAnswer: 7335440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (57\/133)\/((-13)\/7 - -2). Suppose 4\/9*l**2 - 2\/9*l**h + 0 - 2\/9*l = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 74 (base 9) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 7, r: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 65393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/3 + 152*d**2 + 11552*d + 877952\/3.\nAnswer: 2*(d + 76)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*p = -584 + 244. Find the second derivative of 28*u - 64*u**4 + p*u - 70*u + 48*u wrt u.\nAnswer: -768*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwlwgggggwwggw. Give prob of picking 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4.065 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 460635 = -3*x, -101889 + 25112 = -u - 2*x. List the prime factors of u.\nAnswer: 76771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 6*h - 5. What is the tens digit of v(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.045 * 1543.6\nAnswer: -69.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -54\/1937 and -35\/298.\nAnswer: 3874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/3*-3 - -2. Let r be ((-144)\/(-20) - 7)*1406. Let h = r - 281. Are u and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -621792025 divided by -14395?\nAnswer: 43195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 + -49. Let a be 2\/8*j - -71. Suppose -5*q + 5*o - 27 = -a, 5*o = -q - 15. Solve 15 = q*v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -7*x**4\/16 - 5*x**3\/6 + x**2\/8 + x + 18. Solve z(w) = 0 for w.\nAnswer: -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 5*m + 11, 0 = -3*b - 3*m - 2*m + 14. Suppose 5*c - 5*q = -b*q + 743, c - 151 = -2*q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 26*m**2 - 173*m - 55. Let b be o(-14). What is the biggest value in 24\/7, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-18)\/(-1)*1855\/(-10)*(-434)\/93?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40612872 divided by -13537624.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z**3 - 2*z**3 - 2 + 18 + (0*z + z + 5*z)*(0*z**2 + 3*z**2 - 5*z**2) to p*z**3 + g*z + t + o*z**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1386600 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/122406081 and -38\/51933?\nAnswer: 122406081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5*y**3 - y**2 + 5*y + 4. Calculate the smallest common multiple of 105 and c(-2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -4*-4*(-5 + (0 + sqrt(605))*-2 + sqrt(605) + 3)*-1)**2.\nAnswer: 12672*sqrt(5) + 156176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23321480 rounded to the nearest 100000?\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 2 - 2 + (0*u + 0*u - u)*(-1 + 0 + 2) + u - 2*u - u - 2*u - 2*u + 3*u + u - 2*u - u)*(-2 + 0 + 0)*(-11*u**3 - 95*u + 95*u).\nAnswer: -176*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -29, -39, -61, -101, -165, -259, -389?\n\"Answer: -v**3 - 3*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -19 - (5 + (3 - 11)). Let o = g + 27. What is the remainder when 87 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 1 - (82 + -87 - (6 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13561425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41987 and 2299?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j. Let a(q) = -5*q**2 - 2*q. Let s(k) = -81*k**2 - 33*k. Let m(u) = -33*a(u) + 2*s(u). Give w(m(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/225)\/(((-30)\/(-175))\/((-660)\/(-2310)))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + 0 + sqrt(28))**2 - sqrt(28)\/(sqrt(40)\/sqrt(10)).\nAnswer: -sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 399 divided by 299619.\nAnswer: 133\/99873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 6*u + 45. Calculate the smallest common multiple of u and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 9:58 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57088, 456915, 1542098, 3655315, 7139244?\nAnswer: 12336563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 1\/48*b**4 - 1\/6*b**3 + 0*b + 1\/120*b**5 + b**2 + 0. Factor o(n).\nAnswer: (n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*g**2 - 301*g**2 - 821*g**2 - 329*g**2 to l*g + z*g**2 + o and give z.\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 383*i + 2679. Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (15 + 9 + 0 + (5 - -3)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/16*(-20874)\/267883*4\/(-3)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t - 2. Let i(f) = 2*f. Calculate b(i(y)).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1341 + -1357.7. Is 2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -1. Let f(x) = 19*x + 3. Let y(w) = -f(w) - 2*q(w). Let b be y(-1). Let v = b - 8. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 252179340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 630\/(-1785) - (-205234)\/(-1513).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1721, 1898, 2121, 2330, 2465?\nAnswer: 2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hfpofweoofwwwppfw. What is prob of picking 1 f, 1 e, 1 p, and 1 o?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((1 + sqrt(72))*3 - sqrt(72))*-5*-2.\nAnswer: 30 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -9*q**6\/10 + 29*q**2\/2 - 22*q - 14. Let o(u) be the first derivative of n(u). Differentiate o(r) wrt r.\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -61, -2.42, -0.0756?\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 5:12 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 52 = -119*j + 143*j, -13 = 5*j - 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/35 - 0)*5*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2942122512 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 7:54 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/6*2 - -2. Suppose -5*x = -o - 10. Suppose -r + v = -6*r - 13, -3*r = -v + x. What is the second smallest value in r, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.916 and 0.044751.\nAnswer: -0.871249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -203804232*x + 29597042*x**3 + 2940914382*x - 341907750 + 38*x**5 - 6*x**5 - 53296*x**4 - 5485312530*x**2 = 0. What is x?\nAnswer: 1\/4, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3459823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001 + -100?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ab + -265?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1307.89095 to 0 dps.\nAnswer: -1308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/6 + 162587212*f\/3 + 13217300752966472\/3.\nAnswer: (f + 162587212)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 428 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.360753 and 22.8.\nAnswer: 22.439247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 182222 or 182218?\nAnswer: 182222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 251772420 and 12690?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -106.49 - -107. Let n = 41.48 - 40.48. Which is the biggest value?  (a) -6\/7  (b) w  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v - 7*v - 3*o = 8, 4*v - 2*o = 32. Find the second derivative of -v*q**2 + 10*q + 101*q**5 - 3 - 4*q**3 + 7 + 10*q**2 - 104*q**5 wrt q.\nAnswer: -60*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207 and 28362657?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 25\/((-625)\/30) - (4 + -5). Let r = 11 - 19. Which is the third smallest value?  (a) r  (b) -1\/4  (c) -2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85\/6 - 413\/30. Let z = -7 + -1.48. Let o = z + 0.48. Which is the third biggest value?  (a) n  (b) o  (c) -0.2  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 4*z + 21. Suppose 5*g - 3*g = 2*x - 20, 2*x - g - 19 = 0. Calculate the least common multiple of x and a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*g + 4*v - 1, -4*g = 3*v - 5. Let q = -2.04 - -0.04. Let s = 17.5 - 17. Which is the second smallest value?  (a) s  (b) q  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 0) + (42 - 3) + -77\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**5\/120 - l**4\/12 + l**3\/2 - 4*l**2. Let q(h) be the first derivative of p(h). What is q(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/11 and (-8)\/(-28) + -18*(-12)\/56?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -3*f - 3 + 8, -3*m - 5 = -2*f. Let q = -21 - -12. Let t = -5 - q. Sort 3, f, t in decreasing order.\nAnswer: t, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 AM and 2:00 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1206\/(-181503))\/(2\/((-56)\/4))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -7*i**2 + 4*i + 4. Let n(x) = -48*x**2 + 27*x + 27. Let j(p) = -27*m(p) + 4*n(p). Let g(t) be the first derivative of t**3\/3 + 199. Give j(g(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3688 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(21)*3 + (sqrt(2541) - (1*sqrt(2541) + sqrt(2541))) + sqrt(21))\/(sqrt(35)\/(sqrt(5) - (sqrt(5) + sqrt(405)))*-4).\nAnswer: -225*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(((w*w*w*w*w**(2\/7)*w)\/w)\/w))**(-1\/28))**(34\/5) assuming w is positive.\nAnswer: w**(136\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -41, 315 in decreasing order.\nAnswer: 315, 0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*j - 3 + 3 + (-1 + 1 - 2)*(-2*j + 3 - 3) - 3 + 2*j + 3 + j - 4*j + j + 4*j - 4*j + 2*j to x + o*j and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-66)*(-32)\/56.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (((-15)\/2)\/(-3))\/(35\/84). List the prime factors of -374*(21\/w - 4).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of z**5\/60 - 7*z**4\/24 - 7*z**3\/3 + 2*z**2 + 711*z. Calculate j(15).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501171 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 29*v - 206, 5*x - 2*v - 3 = 82. Suppose 3*z = -2*z. Suppose z*c - c = -31. Calculate the remainder when c is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1076831 - 27718.325.\nAnswer: -1104549.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2421*n + 36347. Calculate g(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 9, -5*o + 8 + 3 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30503 and -0.08.\nAnswer: 2440.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11169 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {i: 1, s: 3, j: 4, w: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*t + 91 - 91 - t + t + 2*t + (3*t + t - 3*t)*(-4 + 79 + 0) as l + w*t and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 3. Let s be g(-3). Suppose 10*n - s*n = 140. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, 0.5, 1042\/17, 3?\nAnswer: 1042\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1771093?\nAnswer: 1771093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + 1 + -4 + 12. Is ((-2)\/b)\/(1\/(-339)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/401 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -4*k**3 + 3*k**2 - 3*k - 3. Let w(z) = 3*z**3 - 2*z**2 + 2*z + 2. Let h = 140 - 142. Determine h*n(m) - 3*w(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 2*j + 4. Let i(t) be the first derivative of 2*t**3\/3 + 2*t**2 - 3*t - 3. Let d be i(-3). List the prime factors of q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - -31 - (-5 - -1) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35768 is divided by 11874.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k + 6 - 3 - 3.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -a7d9b (base 16) in base 11?\nAnswer: -42a5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g*n*t**3*w - 50*g*n*t**2 + 2*g*n*t*w + 357*g*t**2*w + 7*g*w + n*t**3*w - 661627*n*t**3 wrt t.\nAnswer: 12*g*n*w + 6*n*w - 3969762*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 19*k**2 - 4*k - 3. Suppose 7*h + 4 = 3*h. Let i be j(h). Suppose -5*w = -0 - i. Solve w*m - 4*o - 8 = 0, 0 = -3*m - 9*o + 4*o + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 at least as big as 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 3*j - 2. Let h = 14 - 16. Let g be h + 2 - (-3 + 5). Calculate o(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -6  (c) -14521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-3 - -11) - (-35 + 11 - -32)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -62 - -112. Let p = 49 - m. What is the biggest value in p, 2\/15, -3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x**3 - x**2 + 1. Let a be o(-2). Let q = a + 59. Suppose -2*d = 5*r - 4*r + 3, 4*r = 4*d - q. What is the remainder when 2 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 - (-2 - 6)\/(-4). Which is the third biggest value?  (a) x  (b) -1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9067 and 6.\nAnswer: 54402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 1)\/(-4 + 3). Suppose 0 = 3*u + m*u + 665. What is u rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 3:28 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -50, -113, -192, -281, -374, -465, -548?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/(-5) + -2)\/(66\/(-55)). What is the closest to -37 in j, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-3))\/(3\/(-45)). Suppose 8 = l*m - m - 5*z, 2*m + 4*z = 4. What is the second derivative of 4*i**2 - 3*i**5 - i - i**m - 3*i**2 wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4.6  (b) 0.4  (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -108434 + -339?\nAnswer: -108773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from efdedfdfede?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -48 divided by 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -5  (b) 5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 910 divided by -1.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 813 is divided by 405.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 66777985 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + 321*20\/15. Suppose -15*z - o = -18*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7\/905 or 0?\nAnswer: 7\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -239, -1037, -2435, -4475, -7199, -10649, -14867?\n\"Answer: -7*t**3 - 258*t**2 + 25*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347*q + 354*q = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -259*t + 253*t + 1014 = 0. Is t at least 173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3 + sqrt(3)*-1 + sqrt(3))**2*-6 - -6*((sqrt(3) + (sqrt(192) + sqrt(48) - sqrt(3)))**2 - (1 + sqrt(3))*-1).\nAnswer: 6*sqrt(3) + 2382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 397 and -2.\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*g - 8 = 29*g. Let o be 33\/(-2) + (3\/g - -1). Let d = 0.7 - -0.3. What is the biggest value in 0, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**2 + 3224*z - 649636.\nAnswer: -4*(z - 403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 1. Let t(k) be the second derivative of k**2\/2 - 4*k. Let v(q) = -4*m(q) + 5*t(q). Let p(o) = o + 4. What is p(l) - 3*v(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 10. Let d(y) = y**3 - 8*y**2 + 6*y + 12. Let z be d(7). Factor 3 - z*p - p - t + 2*p + p**2.\nAnswer: (p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2982376?\nAnswer: 2, 372797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2650626*v + 1271583 with respect to v.\nAnswer: 2650626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 109, 206, 291, 358, 401?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.4  (b) -1  (c) 0.2  (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*i + 77*i = -4*m - 12, -4*m = -12*i - 100 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3595*n**4 - 21*n**2 - 282640?\nAnswer: -14380*n**3 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -2*b**2\/13 + 116656*b - 22114011296 = 0?\nAnswer: 379132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3516360116 to the nearest integer?\nAnswer: 59299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12400002)\/8 - (-6)\/24. What is i rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51 - 46. Suppose 11 = 3*l - 2*h, -l + 2 + 13 = r*h. Suppose -4*a + 3 + 5 = l*q, -5*q = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.1  (b) 2\/7  (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 54*n**2\/13 - 56*n\/13 + 2\/13.\nAnswer: 2*(n - 1)*(27*n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 12 = 2*n. Let j(g) = 5*g. Let y be j(-6). What is the units digit of 6\/n*(-820)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.08, 2, 1375?\nAnswer: 1375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 5:50 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1875559 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: What is the greatest common factor of 520281 and 4203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32106.72426 + 1645.72286. Let x = 30465 + y. Let r = x - 4. What is r rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3374*q - 3152*q + 17873*q + 4224*q to the form o + u*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 99\/2 - 49. Which is the nearest to -0.1?  (a) -3\/2  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 364 * 11.091\nAnswer: 4037.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**4\/7 - 361*d**3\/7 + 9097*d**2\/7 - 54815*d\/7 + 13200 = 0.\nAnswer: -385, 3, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is 2315378 less than -0.035?\nAnswer: -2315378.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 0, -0.2, 1\/5, 3\/2, -17, -6567?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -19984c (base 13) in base 9?\nAnswer: -1188881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 3*l - 2*k, -3*l + 6*k - k = 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 5*g + 2. Let t(l) = -2*l + 7. Let s be t(6). Let i be n(s). Solve 16 = 4*a, 3*k - a - i*a + 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 87\/203 - 102\/42. Let m(l) = -2*l - 8 - 36*l - 3. What is the tens digit of m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 120, 168, 214, 258, 300?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 1 = -v + 2*j, 3*v + 3 = -3*j. Suppose -5*m + 2*m = 4*z + 7, 0 = 2*z + 8. Solve -v*b - m*b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8231106 and 4602?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 15 = -3*c. Let a = -12 - c. Put -1\/9, a, -0.3 in increasing order.\nAnswer: a, -0.3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 1 = 9*n. Solve -4*q + 0*y + 3*y = 11, 0 = 3*q - n*y + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 4*p**3 + 2*p**2 + 3*p - 1. Let t(o) = 2*o - 19. Let a be t(5). Let d(b) = 17*b**3 + 9*b**2 + 12*b - 5. What is a*f(x) + 2*d(x)?\nAnswer: -2*x**3 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179147477?\nAnswer: 89, 2012893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + 17. Let k(t) = t + 6. Calculate k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 divided by 2?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5505\/(-132120) - (-10)\/3648*-4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-11 - 1*-2)\/(-1). Let a = -5 + s. Suppose -t + 123 = a*y, 6*t - 151 = -5*y + 2*t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1675.7, 5, -6, -2\/19, -0.2.\nAnswer: -6, -0.2, -2\/19, 5, 1675.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -13. Suppose 4*t = x - f, -6*x + 1 = -4*x + 3*t. Let m = 0.499 + -0.799. Sort 3, m, 0.1, x in decreasing order.\nAnswer: x, 3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37349296 <= 37349296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 308 = 3*x. Suppose 2*j + x = 4*r - 2*r, 0 = -r - j + 83. Suppose -4*m + r = m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23569*b**2 - 23569*b**2 + 815*b**3 + (-3*b**2 + 2*b**2 + 0*b**2)*(-2*b + 1 - 1) + 0*b**2 + 0*b**2 + 4*b**3)*(0 - 2*b**2 + 0).\nAnswer: -1642*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*p**2 + 72*p**2 - 13*p + 13*p + 69*p**2.\nAnswer: 125*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 559\/133 + -107\/19. Which is the third biggest value?  (a) h  (b) -0.3  (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 5*q + 4*v - 11, -4*q + 5*v + 22 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 24 = 4*d, -7*b + 2*b + 3*d + 6 = 0. Suppose 0 = b*n + 9*n - 36. What is the units digit of (9\/(-6))\/(n\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.3 + 7.7. Let d = i - 4. Suppose 6*q - 18*q = 0. Which is the nearest to q?  (a) 2  (b) -1\/6  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 964715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.8 + -0.4. Suppose -3*b = -5*k - 4*b - 11, -2*k - 22 = -4*b. Let h be (-1 - (4 + k)) + 1. Sort h, j, 1\/3 in decreasing order.\nAnswer: j, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 608 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.482 + -0.587. Let q = w + 0.049. What is q rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/5  (b) -0.02  (c) 0.3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32cac0 (base 14) to base 9.\nAnswer: 3218666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 8*g - 12. Let l be j(5). Let o(u) = -3*u - 24. Let z be o(-10). Let f = -8 + z. Put 5, l, f in decreasing order.\nAnswer: 5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 226  (b) 796  (c) -0.5  (d) 1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, d: 6}. What is prob of sequence lldd?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19378 - 12843. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 17 = 5*l + 5*u, 0 = -4*l - 4*u - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w**4 + 3*w**3 + w**2 - 57*w - 23. Let a(y) = -2*y**4 - 2*y**3 + 28*y + 12. Let l(t) = 9*a(t) + 4*r(t). Factor l(h).\nAnswer: -2*(h - 2)*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1110 is divided by 553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2186 = -33*v + 91. What is the remainder when 479 is divided by v?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21683808.\nAnswer: 2, 3, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 3*n - 291, 0 = -3*n + 286*c - 283*c + 297. Calculate the remainder when 749 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 25*o - 5. Let d(l) = 25*l - 4. Calculate 5*d(w) - 4*i(w).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -574.1 - -574. What is the closest to w in 2, 0.4, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 p when three letters picked without replacement from {p: 2, y: 3, m: 4, c: 2, t: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*y + 7*y - 6*y)*(-3 + 3*y + 3) - 3*y**2 + y**2 + 4*y**2.\nAnswer: 59*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 4*q + 1 - 5, -2*q - 6 = 0. Let v = -2.1605 + 0.1605. What is the nearest to -0.3 in 1\/3, i, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3344006*l**4 - 10427*l - 13?\nAnswer: -40128072*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 115*m**2 + 597*m + 394. Let l be y(120). Calculate the greatest common factor of l and 7633.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)*m)\/m**(-23))**(-33) assuming m is positive.\nAnswer: m**(-759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (55 - 19 - 7 - -18)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -276, -289, -324, -393, -508, -681, -924?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -30a52 (base 12) in base 5?\nAnswer: -4014320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -29*p - 25*p - 61*p**2 - 69*p**2 + 54*p. Let i(n) = -2*n. Give z(i(w)).\nAnswer: -520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*32\/(-24) + 1 + 7 + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -719391 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -146398*n. Let l(g) = -2*g**2. Calculate j(l(k)).\nAnswer: 292796*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189064 is divided by 9642?\nAnswer: 5866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9118.061kg?\nAnswer: 9118061000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34785, -64133, -88043, -106509, -119525?\nAnswer: -127085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 106 - (2 + 2\/(-1)). Suppose 0 = -572*o + 576*o - 8. Suppose 5*d - o*d + 5*p = 62, -4*d + 5*p = -r. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x + 9*x + 4*i - 82 = 0, -5*x + 3*i = 133. Let u = x - -254. Calculate the remainder when u is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 divided by -2508685?\nAnswer: -123\/2508685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 4*q**2 - 5*q + 4. Let s be u(3). Let l be 1*(-1 + (-136)\/s). Suppose -l = 4*f - 179. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51187601 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {r: 4, s: 1, q: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*h - 273, -3*l + h - 82 = 195. Let f = l - -164. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 320932*(-1)\/24*-4*9\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 13662242?\nAnswer: 13662235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15\/12 - 2\/8. Suppose 2*i - v = -3*u, i = -4*u + 3*i + 20. Let y = 6 - u. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -11697209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14337 and 3363.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 335600.\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12625, -12624, -12623, -12622, -12621?\n\"Answer: y - 12626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/6*(-8)\/24*2. Is 352 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 719915765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2. Let f(i) be the third derivative of i**5\/60 - i**4\/6 - i**3\/2 + 2*i**2. Let z be f(5). Let w(m) = m + 2. Calculate z*w(y) - 3*a(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5196 = -2799*x - 78*x - 89745 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 + 2*z**2 + 152*z**3.\nAnswer: 152*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 17*b**2 - 10. Let q be s(17). List the prime factors of 8\/q - (-1524)\/30.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*v + 413 - 185 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-2 + 2 - -3 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 209*j**2 - 1832*j - 52. Calculate s(-9).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 275 - 258. Solve 0 = k*i - 21*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -103, -347, -753, -1321, -2051?\n\"Answer: -81*t**2 - t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 10) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -594?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2109078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/18 and -19\/920.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 111623*q - 262. Let r be w(-6). What is r rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15246552?\nAnswer: 2, 3, 17, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 68*i + 77. What is the remainder when 4462 is divided by o(0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 37*j**4 + 71*j**2 + 29*j**2 + 2*j**4 + 17891 - 6332 wrt j?\nAnswer: 156*j**3 + 200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v - 3. Let w be z(-2). Let k(t) = -10 + w*t**2 - 3*t**2 - 2*t**2 + t**3 - t**2. Calculate k(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d + 5*d + 0*d + 0*d + d - 2*d - 3*d - d + 2*d + (-1 - 1 + 4)*(d + 3*d - 5*d) - 2*d + 2 - 2 + 546*d - 2 + 522*d - 982*d.\nAnswer: 81*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 1)\/((-1)\/(-10)). Calculate the lowest common multiple of 4*4*(-5)\/h and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 22*u**2 - 3*u + 4. Suppose -114*t + 230 = -3 + 5. Determine r(t).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42124.\nAnswer: 2, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d + 48. Let x be (4 - 0) + (-51 - -40). What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 11*b**2 + b. Let g be s(-1). Suppose g = -4*a + 3*a. Let i = a + 35. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.75274 years in centuries?\nAnswer: 0.8475274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 9*a - 21. Let j(n) = -26*n + 61. Suppose -31*k + 24*k = 77. Let b(l) = k*x(l) - 4*j(l). Calculate b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18.082 - -16.582. Put 2\/7, 30, c, -1, 1\/6 in descending order.\nAnswer: 30, 2\/7, 1\/6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 21050, 84020, 189026, 336068?\n\"Answer: 21018*c**2 - 84*c + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.238 + 0.062. Let z(k) = -k**3 + 33*k**2 + k - 36. Let n be z(33). What is the smallest value in -0.04, -0.3, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.25080839 to three dps.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 3*r + 4*p, 70*r - 69*r - 53 = 12*p for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**12)**(-6\/17) assuming j is positive.\nAnswer: j**(-72\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -15*d**3 + 19*d**2 - 13*d + 12. Let z be g(11). Does 37 divide (-1 - (-4)\/(-2))\/(111\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -5. Suppose 0 = -3*i - v + 16, k - 14 = -i - 5*v. Solve i*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) 1\/3  (b) 3  (c) -5  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -7 - 5. What is the units digit of 6*(g - (-15)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*k = 120, 6*l - 216 = 8*l - 2*k. Let t = l + 111. Let g = 11 + -10. Sort g, t, 2.\nAnswer: t, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x - 8. Let v(l) = -l**3 - 10*l**2 - 6. Let q be v(-10). Let d be n(q). Let k = 2 - d. Solve 3*w - 19 = -k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 10*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -306 + -2?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2845, 8290, 17365, 30070, 46405, 66370, 89965?\n\"Answer: 1815*a**2 + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -0.04  (c) -7  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -5, 26, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -4*a + 72 - 24, 3*a = -4*z + 5. What is the lowest common multiple of 4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 297809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5509.646 days to microseconds.\nAnswer: 476033414400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 - 88*c - 2. Calculate the remainder when 8796 is divided by t(-2).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -347, -5885, -15115, -28037, -44651?\nAnswer: -64957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -335941, -672426, -1008925, -1345444, -1681989, -2018566?\n\"Answer: -x**3 - x**2 - 336475*x + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 6:06 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 57*4\/(-12)*1. Let u = -14 - v. Sort -8, 4, u in ascending order.\nAnswer: -8, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - n**2 - 5*n - 7. Calculate k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*r = 15*r - 2*q + 37, -4*r - q + 31 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 - 1218\/(-63) - (-6 + (-55)\/60)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3 - 940*n**2 - n + 940.\nAnswer: (n - 940)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -6  (c) -3\/2  (d) 0.37  (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - (1 + sqrt(180) - sqrt(180)))**2 - ((sqrt(5) - sqrt(500)) + -1)**2.\nAnswer: -225 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + 2. What is the hundreds digit of (a\/(-14))\/((-3)\/693)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + -37 + 32 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1302 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v - 39*v**2 + 23*v**2 + 2*v**3 + 27*v**2 - 4*v**3 in the form h*v + t*v**3 + b + i*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h + 133. Let i be y(34). Let q(c) = c**3 + 5*c**2 - 3*c + 3. Let z(p) = -p**3 - 4*p**2 + 2*p - 2. Calculate i*z(s) - 2*q(s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.52*0.0617\nAnswer: 0.032084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 10:00 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-32)\/11)\/(-8))\/(4\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -13 + (20 - 8) + (-7 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*w + 15 = 0, 6*h = 18*w - 23*w - 15. Let f = 3.4 - 0.4. Let x = f - 0. Put h, x, 2, -1\/4 in decreasing order.\nAnswer: x, 2, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*o = -10, 0 + 5 = 3*c + o. Let z be (-3)\/2 + (-638)\/(-4). Suppose -12*g - z + 1058 = c. Calculate the greatest common divisor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-189)\/(-561288))\/((-81)\/(-18)*(-1)\/6). Is 1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4010.012ml?\nAnswer: 4.010012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -720 - -804. Calculate the least common multiple of 10 and j.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-540)\/42)\/9)\/((-10)\/(-70)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 341, 765, 1359, 2123?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41439039583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 502 > 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/4)\/(6\/(-12)) + 10. Solve 3*q = 5*s + 11, -q - 3*s - u = -s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ycyyyccgyg. Give prob of sequence gycy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4752915.\nAnswer: 3, 5, 316861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8a90a + 4?\nAnswer: -8a906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 88?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 4 + 5 - 2*u)*(u**2 + 2*u**2 - 2*u**2).\nAnswer: -2*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 102085264*v - 102085179*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (5 + -1 - (7 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2656\/(-12) - (-169)\/39. Does -217 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by -191.\nAnswer: 20\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbboqqb. Give prob of sequence qqo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.484 - 0.253. Let i = 0.14 - t. Round i to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -16 + 1610\/98 + 32\/7. Let n(h) be the third derivative of -1\/1080*h**6 + 8\/27*h**3 - 1\/27*h**4 + 0 - 7\/540*h**x - 16*h**2 + 0*h. Factor n(i).\nAnswer: -(i - 1)*(i + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3185013 - -2?\nAnswer: 3185015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 18*b - 39. Determine w(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 717 and 40539?\nAnswer: 9688821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o - 4 = 0. Suppose 7*f - o*f = 20. Solve -3*b + f*b = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 922, 819, 656, 433?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((108\/(-6))\/(-6))\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-5\/8)*j**(-2\/5)\/j*(j\/j**(-2\/7))**19 assuming j is positive.\nAnswer: j**(6273\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of 11*r**4\/24 - 8*r**2. Let m(l) = -6*l. Determine 5*m(d) + 3*v(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1630, -3090, -4550?\n\"Answer: -1460*g - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2779180617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 55338757498 minus 20?\nAnswer: 55338757478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3 + 62632768*a**2 - 501062336*a + 1002124800.\nAnswer: 4*(a - 4)**2*(a + 15658200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 7) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 531846 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -265453 (base 7) in base 16?\nAnswer: -c331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 10*y - 35*y + 4 - 66*y.\nAnswer: -91*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 1737 = 12*f. Let i = 333 - f. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(40\/(-1055))*-2. Let l = 101 - z. What is the tens digit of (108\/45)\/((-4)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -400169 or -400181?\nAnswer: -400169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 0*j - 1\/2*j**5 + 3*j**2 - 1\/2*j**3 - 2*j**4 = 0 for j.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 15 = h, -3*l - l = 2*h + 10. Suppose -h*b + b + 38 = 0. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**2 - 1848*r + 1846 = 0. Calculate r.\nAnswer: 1, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = b - t + 13, b - 1 = -5*t. Is b\/(-12)*3 + 2 + 326 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*c + 357 = -6*c, 0 = 3*z - c - 1086. Let u = 625 - z. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvlx when four letters picked without replacement from {x: 3, l: 3, p: 5, n: 1, t: 1, v: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*a + f, -4*f = 4*a - 7*a. Let t = 2\/25 - -21\/50. Determine n, given that 0 + 1\/2*n**3 + t*n**a - n**2 + 0*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 7*g**5\/120 + g**4\/24 + g**3\/3 + 4*g**2. Let d(r) be the first derivative of l(r). What is d(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5197 - -5211. Solve 5*t + 40 = -5*h, 3*t - 22*h = -20*h - r for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 2\/15, 3, -5725, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 19*c**2 - 2*c + 1. Let u(b) = b**2 + 1. Determine -g(q) + 2*u(q).\nAnswer: -q**3 + 21*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/4*(-4 + 8). Let w(f) = -3*f**3 - 8*f**2 - 7*f - 7. Is w(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from azuddzpii.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320110 (base 4) in base 9?\nAnswer: 11505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 2411*l**2 + 1026167*l + 575. Determine j(552).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000420312976 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-3*(sqrt(104) + (sqrt(104)*1 + sqrt(104) - sqrt(104) - sqrt(104))))\/(sqrt(56)\/(sqrt(28)\/sqrt(4))).\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -2\/7, 0.5, -4\/9, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8*h + 18 = -3*h, 2 = 2*v - 3*h. Suppose -16 = -4*d - 0*o + 5*o, 3*o + v = d. Solve 0 = -5*n - 2 - 8, d*n + 6 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -518703 divided by 1.\nAnswer: -518703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-44)\/2*(-2)\/4. Let n be 12\/j*(-1)\/2. Suppose -150 = -132*w + 207*w. What is the nearest to 0 in n, w, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000672955 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -4, 109, 1, -5, 11 in descending order.\nAnswer: 109, 87, 11, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -310 - -0.023\nAnswer: -309.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 6:00 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 8*n**3 - 5*n**2 + 3*n - 244. Let y(f) = 3*f**3 - 2*f**2 + f - 122. What is -2*w(c) + 5*y(c)?\nAnswer: -c**3 - c - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 24 = -3*k - 1, -2*t - 2 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.21 times 2.3\nAnswer: -0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -19, -35, -61, -97, -143, -199?\n\"Answer: -5*s**2 - s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 10:23 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -200, 2, -4, 6, 10, 5 in decreasing order.\nAnswer: 10, 6, 5, 2, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 195054 and 9918?\nAnswer: 585162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5624 = -3*l - 1828. Let x be (-5152)\/l - (-4)\/(-54). Find p, given that -2\/15 + 8\/15*p**3 - 6\/5*p**x + 4\/5*p = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -5*a**4 + 90*a**3 + 295*a**2 - 6300*a - 24500 = 0?\nAnswer: -5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 521*k - 15. Let v be s(-8). Let n = 6092 + v. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -367, 7, 3\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 2*c + 540 + 120, 4*z - 515 = c. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 5*z**2 - 3*z - 6. Let h(m) = -m**2 + m. Let w(d) = -3*h(d) + y(d). Let f be w(-4). Let p = f - 28. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/2*((-4)\/10)\/(190\/(-475))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 7 = -3*a. Let r be 5 + 489\/(-117) + 8\/(-12). Let h = r - 23\/65. What is the second biggest value in h, a, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 78\/11, -1\/2, -0.06, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 8*p. Suppose 337 = 4*f + m, 352 = -3*f + 7*f - 4*m. Let x(i) = -86*i**2 + 183*i**2 - f*i**2. Determine x(k(y)).\nAnswer: 768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 6:20 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.8 - 1.2. Let q = -12.00000024 - t. Round q to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - (0 + 1)) + 6. Let a(w) = w**3 - w**2 - 2*w. Let r(j) = 8*j**3 - 8*j**2 - 13*j - 1. Let z(c) = 6*a(c) - r(c). Determine z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**5\/3 + 179*o**4\/3 + 6959*o**3\/3 - 94679*o**2\/3 + 74480*o + 108300 = 0?\nAnswer: -95, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/23  (b) 237  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (3 - (0 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 * -10070796\nAnswer: -100707.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b + 1067. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2*sqrt(2) - (1 + sqrt(2)*1)) + 4 + (sqrt(2)*-1 + -3 - (-2*sqrt(98))**2).\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 473196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 99*y + 523. What is h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 737  (b) -20797  (c) -4  (d) -6\/7  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 137, -591, -2555, -6373, -12663, -22043, -35131?\n\"Answer: -103*g**3 - 7*g + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -24*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(105)\/(-1*sqrt(3)))\/(-2*(sqrt(7) + sqrt(56)\/sqrt(8))) + 1)*-3)**2.\nAnswer: 9*sqrt(5)\/2 + 189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/16991 and 62\/273?\nAnswer: 356811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9196*c*u**3 - 3292*c*u**2 wrt u?\nAnswer: 55176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*i**2*z**2 + 151*b**2*i*z**2 - 2*b**2*z + 522*b*i**2*z**3 + 4*b*i*z + z**3 wrt i?\nAnswer: 4*b**2*z**2 + 1044*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -34*z - 68. Is a(-20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -347066*z**3 + 8*z**2 + z + 27607 wrt z?\nAnswer: -2082396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -19 + 19 + 3*p**3 + 11*p**2 + p - 2*p**3. Let u be v(-11). Suppose -39 + 15 = 2*q. Is u greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -677*s**2 + 346 with respect to s.\nAnswer: -1354*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -185*t**2 + 77*t + 22126?\nAnswer: -370*t + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 6*y**2 + y. Let h(t) = -2*t**2 + 26*t - 17. Let r be h(12). Let s be (-29)\/r + 4 - (-82)\/(-14). What is a(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3\/(((-9)\/4)\/(-3)) is divided by (-9)\/2*((-14)\/3 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 166\/265 - 6\/15 and 1810\/(-1991)*(-11)\/6.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -1 - 3*j + 6*j + j. Let p be z(1). Suppose p*x = 2*g - 92, 3*g = -x + 58 + 80. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.59342 weeks in microseconds?\nAnswer: 54790900416000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 7*o**2. Suppose -4*i + 3 = 31. Let j be t(i). Suppose -k + 58 = -s, j = -2*k - 0*s + 5*s + 131. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 6\/(-3))\/(-2). Let o be -2 + (2 - 6)*m. Calculate the greatest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 155378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 5624, -2, 3, -1 in descending order.\nAnswer: 5624, 5, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68 in -169, -5, -1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 565, 597, 687, 865, 1161?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 957 - -85. Are -3 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 2*d + 21059 + 309243, 4*d = t + 110096. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.055615131 rounded to five dps?\nAnswer: 0.05562","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-44)*(-1 + -5 + 24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 66, -388, 0 in decreasing order.\nAnswer: 66, 42, 0, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 32*y**2 + 241*y + 7. Is k(-19) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/(-10))\/(6\/(-8)). Solve -k*o - p + 5 = 0, 11 = 5*o + 4*p - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -24  (b) -5  (c) 0.3  (d) 5  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.0369.\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 1, 4, -85.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 4. Let h(a) = -3*a + 9. Let s(t) = 9*d(t) - 4*h(t). Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -77*i**3 + 5*i**2 + 11*i - 11. Let f(w) = 115*w**3 - 8*w**2 - 17*w + 17. Let h(n) = 8*c(n) + 5*f(n). Find the second derivative of h(q) wrt q.\nAnswer: -246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -676 - 1838157212\nAnswer: -1838157888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -6. Let z = 2.8 + -3.1. Which is the biggest value?  (a) z  (b) -2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 382092636 less than 2.352?\nAnswer: -382092633.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 0.4, -3\/8, 2\/7, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 11, r: 5}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 416365369 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3580 is divided by 705.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 10. Calculate the remainder when 69 is divided by g(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + a - 19 = 0, 5*g + 3*a = 8 + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(-1\/2)))**(-42)\/(r\/(r\/(r\/(r*r**(-2\/17)\/r))))**3 assuming r is positive.\nAnswer: r**(-414\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*j - 32*j = -58. Let k = -23 + j. Calculate the lowest common multiple of k and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10823, -10825, -10829, -10835?\n\"Answer: -c**2 + c - 10823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 717 + -331. What are the prime factors of o?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d**2 + 53*d + 55. Determine h(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pjuxpjxjtjpjkx. What is prob of sequence xup?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 584 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 20 - 6 + 1 + x.\nAnswer: x - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = k - 3, -403*k + 407*k = 2*g + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 3*h**2 - 6*h + 6. Let v be y(5). Suppose v = -0*w + 2*w. Let a be (-3 - -17) + -3 + 2. What is the highest common divisor of a and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 - 11*j + 15. Give v(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/2*14\/(-21). Let y(b) = b**3 - 5*b**2 + 6*b - 5. Let h be y(4). Differentiate -q - 2*q - c + 1 - h with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*n + 0*n + 0*n)*(16*n - 16*n + 90*n**3) + n**4 + n - n in the form r + v*n**3 + i*n**4 + d*n + t*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m - 24*m = -56. Calculate the greatest common divisor of m and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 13. Let y be (-1)\/2*(-3 - v). Solve 2*i + 8 = -q + 3*q, y = q + 3*i + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5654 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5 + 7*16)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 8*y**2 - 16*y + 9. Let z be g(5). What is the least common multiple of 4 and -1*(-35 + -5)\/z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5163 - 4930. Solve 238*m = g*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68.93 - -1026.83.\nAnswer: 1095.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of h**6\/180 - 7*h**5\/120 + 25*h**4\/6 - 11*h. Let m(l) be the third derivative of s(l). Calculate m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 11*b. Let s = -12 + 9. Let w(u) = -14*u + 824. Let y be w(59). Let q(k) = -12*k. What is s*a(l) + y*q(l)?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72 - 68. Let j(a) be the first derivative of -2 + 1\/4*a**2 + 0*a - 1\/8*a**o + 0*a**3. Determine c so that j(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = -u - y - 46, -7*y = -5*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -20, -5, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-3*-1*2*sqrt(275) + -5)**2.\nAnswer: -600*sqrt(11) + 39625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -501*g + 177*g + 305*g + 224*g + 75*g.\nAnswer: 280*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - f = -4*w - 8, 35 = -4*w - 5*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, -5, -2, -65 in increasing order.\nAnswer: -65, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 213*t**2 + 38*t - 53934. Determine z(214).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 6641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 43*j**2 - 2*j - 17. Suppose 0 = 5*r + 3*i + 30 - 10, -3*r - 5*i - 12 = 0. Is w(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7728)\/448)\/(6*(-8)\/128)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**3 + 7*v**2 + v. What is the units digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1131332 + 20?\nAnswer: 1132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of 13*t**5\/2 + t**4\/3 - 4*t**3\/3 + t**2\/2 - 3*t + 12. Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l - 8 + 10595*l**4 - 2*l**3 + 13 - 5295*l**4 + 16 + 15*l**2 - 5297*l**4 to the form m*l**4 + r*l + k*l**2 + q + f*l**3 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.9586945 to 2 dps.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-64)*110780\/955?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 + 10*d**2 - 2*d**2 + 5 - 4*d**2 in the form x*d**2 + h*d + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -2*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13302 and -9045146.\nAnswer: -9031844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -194.06.\nAnswer: -193.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -324\/215 in 1, 1\/2, 4, -1\/4, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 6996.3?\nAnswer: 6996.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -1. Suppose -560 = -y*o + 5*s, -o - 186 = -2*o + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, -125, -200, -279, -362, -449?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4709 + 5050.1. Round n to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1 = 3*d - 6*d, d - 5 = -5*l. Suppose -7*m - 30 + 135 = d. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 + 21 = -5*p - 2*o, 0 = 4*o - 12. Suppose -2*l = -5*x + p - 47, -x = -l + 11. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33 + 5 + 12)*(-4 + 1 + 4)*(3*s - 2*s + 2*s) to j*s + i and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/4)\/((-3)\/(-4))*54\/(-45). Let k(t) be the third derivative of 1\/3*t**3 + 0 - 5\/8*t**4 + 0*t + 33*t**z. What is the derivative of k(w) wrt w?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 - 1909815*n**2 - 7639296*n - 7639308.\nAnswer: 3*(n - 636609)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 603.6516 and -5?\nAnswer: -3018.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zgcyvzzzz. What is prob of picking 1 z, 1 c, and 1 y?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 235*5\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbbbbbbbibbibiib. What is prob of picking 4 b?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a (base 14) to base 13.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 878015\/40 - (-123)\/(-328)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-111680)\/480)\/((-1)\/(43 - 1)). Let w = z + -488671\/50. Calculate the common denominator of w and 49\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (352\/(-10))\/((-4)\/52500). What is y rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12319650 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 + 1854576*l + 429931517472.\nAnswer: 2*(l + 463644)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -163736.25 to the nearest 1000.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14.83172 - 0.16828. Which is the fifth biggest value?  (a) 2  (b) 1\/4  (c) v  (d) -1\/14  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -3*p**3\/2 - 1960929*p**2\/2 + 7843788*p - 15687624 = 0.\nAnswer: -653651, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrrt when four letters picked without replacement from {r: 2, b: 3, t: 4, d: 1, v: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 7:57 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1462326720?\nAnswer: 2, 3, 5, 599, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-284)\/(-112))\/(4850\/(-970))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j - j - 2*j)*(61 - 61 - 11*j)*(-2*j**2 - 15*j**2 - 5*j**2) as d*j**2 + x + k*j**3 + f*j**4 + l*j and give f.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 710 = -2*s, -821 = -5*q - 3*s - 136. Calculate the lowest common multiple of 105 and q.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8, -7, -38, -91, -172, -287?\n\"Answer: -n**3 - 2*n**2 - 2*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9671.169 centimeters in meters?\nAnswer: 96.71169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/184 and -28\/10189.\nAnswer: 81512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423 = -9*m + 150*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -340 + 336. Put 4, -12, o in decreasing order.\nAnswer: 4, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15*(-12)\/99*(-198)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 74*f + 154*f - 74*f + 0.\nAnswer: 6*f + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366*g + 5793 = -16178 + 4769 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 214 and 340.\nAnswer: 36380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83152.\nAnswer: 2, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4648 (base 10) in base 11?\nAnswer: -3546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1978 + 106. What are the prime factors of c?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -3*r**2 + 68*r - 44. Let l be u(22). Solve 2*v - 11 + 9 = 2*w, -w + 1 = l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25401435253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1422, -5592, -12516, -22200, -34650, -49872, -67872, -88656?\n\"Answer: -z**3 - 1371*z**2 - 50*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((-5*(sqrt(1539) + -3 + 2 + sqrt(1539)))**2 - ((sqrt(1539) - 1*sqrt(1539))*-5*5)**2) + -1).\nAnswer: -2700*sqrt(19) + 461772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1.7236857 + 0\nAnswer: -1.7236857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 196411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23168868?\nAnswer: 2, 3, 67, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 7*z**2 + 1. Suppose 3 + 3 = -6*v. Let y be a(v). Find the second derivative of 7*h - 6*h**2 + 4*h**2 - y*h**2 wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 4:13 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-2))\/(25\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1214 greater than -1214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 346 = -3*c, 21*c = -3*g + 25*c + 254. Solve 86*a - 49*a = -g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17024 - -17019. Let i = -43 - -39. Let p = 366\/5 + -73. Sort p, i, 30, j in decreasing order.\nAnswer: 30, p, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 3:42 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1033 divided by -5.\nAnswer: 1033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 291440.\nAnswer: 2, 5, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mezg when four letters picked without replacement from {m: 1, i: 1, z: 4, e: 3, g: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18850365 and 306.\nAnswer: 37700730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 3*i + 27. Let s be x(-9). Let n be (-14)\/(-6)*(-81)\/s. Suppose -20 = g + a, g - n*a + 6*a = -18. Is g greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 14*t**2 - 14*t + 7. Suppose 288*j - 6 = 289*j. What is the units digit of l(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**4 + 127928*z**3 + 255868*z**2 + 127936*z.\nAnswer: -4*z*(z - 31984)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 8056*x + 8043*x + 167, -c - 3*x + 47 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*l**2 - 1\/6*l**4 + 0*l - 8\/3 + 0*l**3.\nAnswer: -(l - 2)**2*(l + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 85 - -12?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 1. Let o be b(0). Let u be 0\/(-4) - (o - -1). Is -2\/15 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) - (sqrt(5) + 2)))*-5 - sqrt(900)\/sqrt(5))**2.\nAnswer: 220*sqrt(5) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t + 3. Let i(b) = -b + 1. Let f(s) = g(s) - 2*i(s). Let l be f(2). Let h(z) = -z**3 - 6*z**2 + 9*z + 17. Let k be h(-7). Sort k, l, 5.\nAnswer: l, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -14*r - 297. Let n be x(-21). Let w(s) = 5*s + 4. Let c(l) = 6*l + 5. Let d(q) = 3*c(q) - 4*w(q). Calculate d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2736)*-5 - -2*sqrt(2736)*2 - (2 + (-2*sqrt(2736) + 2 - sqrt(2736))**2))*3*-3.\nAnswer: -1188*sqrt(19) + 221670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 4 = -3*q. Suppose q*g = -4*b + 36, 4*b + 3*g + 11 - 45 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64 divided by -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 1.9  (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -83, -150, -253, -404, -615?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25558.\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02 and -46.23.\nAnswer: 0.9246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 672 and 2100?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70721.36 years to millennia.\nAnswer: 70.72136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 + 2*c - 1. Let d(a) = 74*a + 4*a**2 - 8 + 11*a**2 + 68*a + 10*a**2 - 125*a. Give -6*d(i) + 51*l(i).\nAnswer: 3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 205461181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -568*z**3 + 43*z**2 + 59561*z?\nAnswer: -3408*z + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -9*n - z - 1110002, -2*z = 5*n + 1110004. What is n rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7482478727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y + 12*y**4 + 0*y**3 + y**3 - 6*y**4 as j + c*y + d*y**4 + q*y**3 + t*y**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38 + 36. Put -8, i, 5 in decreasing order.\nAnswer: 5, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(114)*2 + sqrt(114)))\/(sqrt(6) - ((sqrt(294)*-5 - sqrt(294)) + sqrt(294) + sqrt(294))).\nAnswer: 3*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5026269 and 90447?\nAnswer: 35183883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9988061539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 - 125 = 11*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -10*n**2 + 43*n + 77. Let b(h) = -102 - 15*h**2 - 59*h + 24 + 17*h + 24*h**2. Let i(a) = -7*b(a) - 6*u(a). Factor i(g).\nAnswer: -3*(g - 14)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 349 - 349 + 22562*d**3 - 20885*d**3.\nAnswer: 1677*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k**2 + 4*k**2 - 8*k**2 + k**2 + k - k + (-1 - 2*k + 1)*(10 - 10 + 2*k) to the form z*k**2 + h*k + x and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14760 (base 10) to base 14.\nAnswer: -5544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + (-50)\/(-12) - (-2)\/6. Let s be -4 - (2 + -1 + -1). Sort s, m, -0.2 in decreasing order.\nAnswer: m, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8993 - 6?\nAnswer: -8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9507 (base 12) to base 7\nAnswer: 65314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (82 + (-58 - -19))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4.9?  (a) 0.4  (b) 494  (c) 3\/5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*i - 4*x + 147, -381*i + 5*x - 5 = -384*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/132 - (-32)\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -29 - -39. Let y(a) = 3*a**3 + 2 - 6*a - 3 - 5*a**3 + 2*a**2 - j. Is y(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ufff when four letters picked without replacement from fffufuf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*p + 0*p + 350 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 6, 0, 6633, 3, 4, 9 in ascending order.\nAnswer: -1, 0, 3, 4, 6, 9, 6633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 - 3)*(0 - 2*v**2 + 0) + 15*v**2 + 7*v**2 - 12*v**2)*((-2 + 1 + 3)*(-1 + 3 - 1) + 2 + 0 - 1).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.49 - 14.49. What is the closest to 0 in 0.2, -1, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 2*o - 1. Let b(g) = -g**2 - 10*g - 10. Let p be b(-8). Suppose 20 = 6*y - 2*y. Let u(k) = -k**2 + 2*k + 1. What is p*u(c) + y*q(c)?\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*d - 13*d + 27. Let u(s) = 2*s - 9. Let m be u(6). Let h = 5 + -3. Solve -m*j - d = -y, -5 = -y + h*j - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39539904 by 13179968.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 121 - 196. Let h = x + 91. Which is the nearest to 2\/5?  (a) 0.4  (b) 1\/9  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1*(-3)\/(-9)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -158.02 times 1568?\nAnswer: -247775.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2, 21, 46, 77, 114, 157?\n\"Answer: 3*a**2 + 10*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 339, 677, 1015, 1353, 1691, 2029?\nAnswer: 2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -11*b**6\/30 + 9*b**2\/2 + 14*b. Differentiate y(x) with respect to x.\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 - (-11693)\/1595 - (-4)\/(-10). Let n = z + -17\/174. Put 1, -0.07, n, -0.5 in decreasing order.\nAnswer: 1, -0.07, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -779 - -672. Let y = 666 + o. Which is greater: 560 or y?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (75005 - 75005 - 361*a)*((5*a**2 + 0*a**2 - a**2)*(-2*a + 0*a + 0*a) - 3 + 3 + 2*a**3).\nAnswer: 2166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -477506, -955013, -1432520, -1910027, -2387534?\nAnswer: -2865041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.43778 and -1.\nAnswer: 0.43778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2. Let r = -1.4 + w. Let j = r - -0.3995. Round j to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 359, 1474, 3329, 5924, 9259, 13334?\n\"Answer: 370*f**2 + 5*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4802 is divided by 1192?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41*27.52.\nAnswer: 1128.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/((-210)\/280*36576\/54)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 16. Let n(c) = -2*c. Let t(l) = 5*l - 3*l + 2*l. Let g(r) = y*t(r) + 5*n(r). Let z(v) = 5*v**2. Give z(g(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 18363  (b) 2\/5  (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-1 + 1 + -1). Let r(y) = y + 6. Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/10 - 2997\/(-2160))*(-8)\/6. Let q = -32 + 61\/2. Let p = -5 - -3.8. What is the third smallest value in q, p, n, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (102 + 53 - 30)*(-1 + q + 1).\nAnswer: 125*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 24289 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a - 4*a**2 + 6 - a + 2*a**2 + 24*a**3 + 0*a + 2*a to the form p*a + x*a**3 + f + y*a**2 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**2*w**2*y + 232*j**2*w - 4*j**2*y + 2*j**2 - 47*j*w**2*y + 6*j*w*y + 50*w**3*y + 4*w wrt w?\nAnswer: -2*j**2*y - 94*j*y + 300*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -21. Let a(y) = y - 6. Let d be a(s). Differentiate -d*n - 3 + 5 + n with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/13)*x\/(x\/(x*x\/(x*x**(-2\/17)*x*x)))*x\/x**(-1\/3)*(x\/(x*(x\/(x*x**15\/x))\/x)*x)\/x assuming x is positive.\nAnswer: x**(10295\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(128) + -1 + sqrt(128) + sqrt(128))**2 + -2 + sqrt(2)*2 + -4.\nAnswer: -46*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2)*c**(-31)*(c*c**22\/c)\/(c\/(c*c**(-4\/9))))**36 assuming c is positive.\nAnswer: c**(-412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -16, 2, -0.6, -0.2, 0.097?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -818 - -1?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/5)\/(16\/20). Let u = 0 + q. Factor -1 - u*y + y**2 + 3\/2*y**3.\nAnswer: (y - 1)*(y + 1)*(3*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8977947 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 0*d + 45 = -5*x, -4*d = 5*x + 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -142*j + 6. Let m(s) = -140*s + 7. Determine 6*m(y) - 7*q(y).\nAnswer: 154*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.231 + -1.231. Which is the fourth smallest value?  (a) 1\/6  (b) 62  (c) k  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 + -93. Solve 2 = 4*g - r*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + x + 13, -2*h - 3*h + 2*x + 30 = 0. Suppose 0 = f + h*f + 20. Is (3 + f)*-10 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 + 849968*l - 35702184.\nAnswer: 2*(l - 42)*(l + 425026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -6*j + 13. Let u(c) = c - 2. Let l(p) = -p**2 - 12*p - 11. Let y be l(-14). Determine y*u(o) - 6*f(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(76)*-2*-2)\/(2*sqrt(4)*-2))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4047*y**3 - 3713*y**3 - 154812 + 11355*y**2 + 154812 + 633*y**3 wrt y.\nAnswer: -42762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144339619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*k - 15825 + 3865 = 0 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*m)*(-5 - 1 + 4) + 0*m + 70*m - 8*m + (m - 1 + 1)*(7 + 1 - 1).\nAnswer: 65*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/3 + 38602620*q - 558810851574150.\nAnswer: -2*(q - 28951965)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -10*y - 12. Calculate z(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 420 by -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, v: 1, d: 3}. Give prob of picking 2 d and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - 3*b - b - 1 + 1 + 2*b - 6*b + 5*b + (1 - 3 + 4)*(b + 3*b - 5*b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -46*k**3 + 4*k - 23. Let v(b) = -b**3 - b + 1. Let o(a) = m(a) + 4*v(a). Find the first derivative of o(w) wrt w.\nAnswer: -150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 0 - (-67 + 60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 74928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 - 11*h + 5. Give o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/916 and 103\/2400.\nAnswer: 549600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 + 177*j + 728. Let r be s(-4). Sort -1, r, 11, 2 in decreasing order.\nAnswer: 11, r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3042657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 347303 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2.911952 weeks?\nAnswer: 1761148569600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**3 - 603135*r**2 - 1206255*r - 603125 = 0. Calculate r.\nAnswer: -120625, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 31 - 1c5729?\nAnswer: -1c56d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(18)*-2)\/(sqrt(96) + sqrt(96)*2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**4 - 1004*b**3 - 74476*b**2 - 1609236*b - 1535760 = 0. What is b?\nAnswer: -135, -79, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -62, -74, -98, -140, -206?\n\"Answer: -d**3 - 5*d - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 47737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + q + q + 2*q)*(-4*q**2 + 2*q**2 + 4*q**2).\nAnswer: 8*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-2)\/(-16)*(-3 + -3 + 34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -670 - -673. Suppose 102 = 5*f - 0*h + 3*h, 82 = 4*f + 2*h. Solve -3*n = z + 19, -n + g*z - 7*z = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*(7 - (-376)\/(-54)). Sort -1\/8, l, -3 in descending order.\nAnswer: l, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*n + 19 + 37 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -5, 0.1, -0.2, 9\/4 in increasing order.\nAnswer: -5, -0.2, 0.1, 9\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c2 + 22?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.78 - 0.88. Let n = -1.94 + -0.06. Which is the third smallest value?  (a) 1\/3  (b) d  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 563, 2233, 5023, 8939, 13987, 20173?\n\"Answer: o**3 + 554*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.13, -6, 548, 1, 10\/19?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(r + 2*r - r) + 17*r - 9*r - 13*r + 3*r - 4*r + 2*r)*(21*r**3 - 18*r**3 + 59*r**3).\nAnswer: -496*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 + 18 + 9)*(-40 + 48*u + 40)*(9*u - 13*u - 17*u) in the form m*u + j*u**2 + b and give j.\nAnswer: -16128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10279167 and 426.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38003 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 i when four letters picked without replacement from {i: 4, c: 5, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -2*k + 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.58028*-3.\nAnswer: 1.74084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-52))\/(((-962)\/169)\/((-17)\/(408\/(-12))))\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 289108943, 289108942, 289108941, 289108940, 289108939, 289108938?\nAnswer: 289108937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9792\/2720)\/(4\/(-10)*1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -21 + 5*x - 8*x + 6*x. Let m be a(11). Suppose 3*j - c = 179, -2*c + 2 = m. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 8:13 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 0, -l + 5*l - 5*z + 56 = 0. Let o be (-24)\/l - (-20)\/(-10). Let d = -3.1 + 3. Which is the smallest value?  (a) -3  (b) o  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -76, -179, -336, -553, -836?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, f: 2, k: 1}. What is prob of sequence fu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k - 9. Let m be h(7). Let q(i) = -i**3 + i**2 + 1. Let y = 148 - 147. Let l(c) = -3*c**3 + 2*c**2 - 1. Calculate m*q(s) + y*l(s).\nAnswer: -s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - 3*w. Let f be r(-3). Let i be (190\/95)\/((-2)\/(-4)). Solve 2*j + 4 + i = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.7462 minus -178?\nAnswer: 170.2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**3 + 27*z**2 - 657*z + 10361. Give q(15).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4341035 and 6.\nAnswer: -4341029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*z - 6*z - 3, -3*h - 3*z = 0. Suppose h*v - 12 = v. Let l(y) = 2*y - 5. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -11 + 18 + (-1 - -2) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(0*h - 4*h + 2*h) + (-1 + 4 - 4)*(0 + 4 - 1 - 11*h).\nAnswer: 7*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d - 7*d - 7*d + 9*d - 34 + d. Let h be l(-26). What is the greatest common divisor of h and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 21 = -5. Let w(p) = 4*p + 9. Let d be w(c). Let l(o) = -o**3 - 7*o**2 + 2*o + 5. Determine l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w**2 - 2*w - 6. Let z be n(3). Suppose 520 = z*f + 2*f. Calculate the greatest common factor of 140 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = o. Let z = o - -1. Let j = 11 + z. Calculate the remainder when 23 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 786 in increasing order.\nAnswer: -4, 3, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -6*o. Let q(x) = 7*x. Let p(m) = -6*g(m) - 5*q(m). Let t = -7 + 20. Let n(h) = -6*h + t*h - 2*h. Calculate n(p(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/114 and -19\/105078?\nAnswer: 1996482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-11)\/(-4))\/((-10)\/(-840)). What is the units digit of (-2)\/(-7) - n\/(-49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 19*p**2 - 258*p - 5416. Determine j(-20).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/16 and -39\/2456?\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*q - 3*j + 4*j, 2 = j. What is the closest to 1 in 0.2, q, 2.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -19*z - 3. Let t be h(-2). What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -14*p - 5. Let l(h) = -21*h - 7. Let m be 7 + 6*(-3 + 1). Determine m*l(b) + 7*x(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 0 - -7) + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/10722653 or 1?\nAnswer: 6\/10722653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1775 and 684795?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26521669?\nAnswer: 43, 616783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.04 - -0.14. Let l = -0.7 - k. Let i = 40 - 39.9. Which is the nearest to 1?  (a) 3  (b) l  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/16)\/((-279)\/(-124))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 10 + -4 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 q, 1 c, and 1 v when four letters picked without replacement from ghgvhccvvhhzqvg?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307 is divided by -9 - (-5 + 7) - (0 - 6) - -44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 169*o + 15. Let f(r) = -83*r - 7. What is 9*f(d) + 4*i(d)?\nAnswer: -71*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - f + 1655 - 1667 = 0, 2*p - 5*f = -21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 119 + 405 = 2*n, -5*n + 239 = 4*f. Is (f\/(-3))\/(6\/(-9)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from aoaaaaaooooooa.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 490894 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3 + 1)\/(8\/(-212))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ahhqqhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 295, 294, 293, 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*c)*(2*c + 3*c - 3*c + c - 4*c + 5*c + (6*c - 3*c - c)*(5 - 2 - 2) - 1 + c + 1)*(37 - 37 - 2*c**2 - 16*c).\nAnswer: -28*c**4 - 224*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-54)\/(-1) - (1 - 3). Suppose n - 10 = -0*n - 5*k, -4*k = 4*n - c. Let f = -6 + n. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9\/((-4)\/(8\/(-3))). Let q be (-4)\/n*-11*9. Let w(v) = -v**3 - 9*v**2 + v + 15. Let r be w(-9). What is the greatest common factor of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 5.5. Which is the third biggest value?  (a) u  (b) -2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 896013 and 1073.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -70 - (10 + -16) - (35 + -23 - -7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 268\/5 - 3474\/65. Let x = 26 + -25.7. What is the closest to x in -5, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 8:58 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 12:17 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -162 + 161.9922. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155.06 decades in millennia?\nAnswer: 1.5506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/69552 and -99\/2576?\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-2933))\/((9*(-15)\/(-810))\/((-12)\/36))\nAnswer: 2\/419","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 94989\/24938 + -140\/37. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 34\/10)\/(9 + (-782)\/115)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25963 + -25961. Solve p*d = -6*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 95*k - 1878. Calculate the remainder when w(28) is divided by 127.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -r + 5*j - 15, r - 3 = -2*r + 3*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 6\/16*(-23 - -31). Let v be (o\/(-6))\/(14\/(-12))*-7. Solve -g = 5*n + 4, v*g = -6 - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036 times -2?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 - 4*n**2 + 2. Let h be (-3)\/(-2) + (-235)\/(-94). Give i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3*((1 + 2*sqrt(200) + sqrt(200))**2 + -1)*2.\nAnswer: 360*sqrt(2) + 10798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 361999483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 7087  (c) 5\/4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 180. Is v(0) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 490758 and 115194.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.1108 * 0.3\nAnswer: 0.03324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -8*y + 147. Calculate q(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*i + 2675 + 7749. What are the prime factors of i?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 + -1b?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57904, 115811, 173718, 231625, 289532, 347439?\nAnswer: 405346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p**3 + 15*p**2 - 56*p + 241. Determine y(8).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1192854 and 2.\nAnswer: 0.2385708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2852 - 2*y**2 + 2860 - 5719 - 149*y as u*y**2 + z*y + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/3)\/w)**(2\/103))**(-7\/3)*((w**(-1\/4)*w)**(1\/50))**30 assuming w is positive.\nAnswer: w**(8623\/18540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 8\/5, 0.5, -192, 0 in decreasing order.\nAnswer: 4, 8\/5, 0.5, 0, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 33*k - 4. Let n(j) = 1. Let q(m) = -65*m + 4. Let i(a) = 3*n(a) + q(a). Let o(l) = 4*i(l) + 7*t(l). Let r(p) = p. What is o(r(f))?\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*m**3 + 5*m**2 + 42*m**2 - 47*m**2 - 73*m**3.\nAnswer: -301*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-185)\/(-30) + (-56)\/336. Solve 0 = -2*q - w*j + 11*j - 15, 5*j + 5 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 7*m**2 - 13*m - 17. Is k(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 0*q + 8*q)*(-735*q + 129 + 2603*q - 257 + 128).\nAnswer: 11208*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1212224 + 4?\nAnswer: -1212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 580917 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 545818075?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -63853*-0.06\nAnswer: 3831.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/113 - 7587\/904. Suppose 0*q = -5*q - 45. What is the common denominator of i and (q\/(-30))\/((-9)\/(-249))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 172 + -216809?\nAnswer: -216657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -3*h - 6*a - 12, -2*a - 11 = 5*h. Let p(b) = b**2. Let y(u) = 5*u**2 + u + 1. Let w(c) = 4*p(c) + y(c). What is w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h + 3 - 3)*(-15 + 1 - 3) to r + y*h and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 7*k**2 + 6*k**2. Let x(q) = 2*q**2. Determine x(p(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x**2 + 6*x + 5. Let n(q) = -10*q**2 - 13*q - 11. Let p(b) = 4*n(b) + 9*s(b). Let f = 165 + -268. Let y = -104 - f. Determine p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7044210 by -5.\nAnswer: 1408842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 3*g - 31 + 13 = 0, 9 = 4*h + g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 10768398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5\/(-20))\/((-1)\/12). Let d = 0 + -2. Let b be 3 + (z - (d - -3)). Solve -6 = -b*t - 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -24*o - 5*o - 15 + 0*o. Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/13, -18, -8 in descending order.\nAnswer: -2\/13, -4, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(528)\/(-5*sqrt(275)).\nAnswer: -4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3090 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3650*j**2 - 10993776*j + 72288 = 0. What is j?\nAnswer: -3012, 12\/1825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 346606419 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1789 = 8*z - 4075. List the prime factors of z.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, w: 1, r: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 220302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k**2 + 15*k**3 - 36*k**3 + 20*k**3 + 4*k**2 - 6. Give b(9).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8867\/34 and -260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -111.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11701*c - 11299*c = 2010 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1053)\/(-455))\/((-87)\/(-203)).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((3 + sqrt(1377))*2)**2)*-6 + 1.\nAnswer: -33275 - 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*x - 3*x - 85. Let o = 56 + x. Find the common denominator of (2 - (-15)\/(-6))*o\/3 and 30\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 477582*m**5 - 4*m**4 + 54*m**2 - 539864368*m wrt m.\nAnswer: 9551640*m**3 - 48*m**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (m**2 + 2*m**2 - 5*m**2)*(-5 + 1 + 3) - 70*m**2 + 18*m**2 + 13*m**2 + 0*m + 3*m**2 + 0*m - 9*m**2 + 0*m**2 - m**2 as i + f*m + s*m**2 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 17*f**2 - f + 1143. Let v be s(0). Solve 1132*d + 99 = v*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**(2\/3)*i*i)*i*i*i\/(i*i**2))**(-6\/17)*((i**(-3\/4)\/i)\/i)\/((i\/(i**(-1\/8)\/i)*i)\/i)*(i\/i**(-1))**(-45\/2) assuming i is positive.\nAnswer: i**(-6703\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 41 = -19. Let w be 16\/(-10)*50\/i. Solve 11 - 1 = -5*f - w*n, 4*f - 33 = 5*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(0 + sqrt(208)))**2 + (-6*sqrt(39)\/sqrt(3)*6)**2)*-6.\nAnswer: -102336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 5*b + b + 6 - b. Let p(k) = k. Let q be p(3). Calculate the remainder when 81 is divided by s(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, 1\/23, -4, -3.5, 0.5, 139?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.7  (b) 3\/7  (c) -4\/7  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - f - 20 = 4*f, -5*f = 20. Suppose 4*a + 3 - 71 = m. Let z = -12 + a. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1420.62 + -6.18. What is k rounded to the nearest 10?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 12:21 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 374703?\nAnswer: 3, 7, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -19.9  (b) 3  (c) -12  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125 + (-10 - 42) - 5.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -1\/2  (c) -1  (d) -4  (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i*i*i*i**(-2\/21)*i)*i*((i\/(i**(-6)*i))\/i)\/i*((i*i\/i**(2\/3))\/i)**(-7\/4) assuming i is positive.\nAnswer: i**(127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y - 5*y - 117 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3*w - 34. Let l(j) = -2*j + 17. Let a be 3\/(18\/18 + 3\/(-4) - 1). Give a*v(q) - 7*l(q).\nAnswer: 2*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 372*a. Let r(n) = -3*n + 23686. Determine h(r(o)).\nAnswer: -1116*o + 8811192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 124320034 (base 5) to base 12.\nAnswer: 25a983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nrvn when four letters picked without replacement from {n: 2, s: 1, v: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900)*1 + 1 + -1)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 54*q - 29. What is d(53)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1398\/535 + 408\/107. Let u = 11 + -7. Let f = -0.2 - 0. What is the closest to 1\/3 in u, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -11*t**4\/4 + 22*t**2 + 50. Find the second derivative of x(w) wrt w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -96638709 divided by -111?\nAnswer: 870619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5445) - (3*(1*sqrt(5445) - sqrt(5445)) + sqrt(5445)))\/((sqrt(81) + 1*sqrt(81) - sqrt(9))*-6)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325 is divided by 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 4*l + 2*u, l - 2*u - 5 - 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*y + 56 + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 3*i + 6. Let q be l(-4). Let h be (-5 - 1) + (q - 0). Suppose -19*m - 2 = -21*m. Put m, 4, h in increasing order.\nAnswer: h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/11)*q)\/(q\/(q**8*q)*q)*(q*q**(-2\/3))**22 assuming q is positive.\nAnswer: q**(533\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 15 = 155. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -19*k + 10 - 6*k**2 - 6*k**3 + 19*k. Let q(o) = -o**3 + o**2 - 1. Let s(f) = -p(f) - 6*q(f). Differentiate s(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 1) + 3 + 0 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 51*n = -49*n - 5268, 5*q - 2*n - 6603 = 0. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c - 1. Let v be b(-3). Suppose 0 = -4*r - 4*u - u - 193, 5*r = -v*u - 245. Let p be r\/20 + (-3)\/(-5). Put 0.1, 2\/13, p in decreasing order.\nAnswer: 2\/13, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-384)\/168)\/(2\/(-112)). Find the second derivative of 2 - y*x + 10834*x**2 - 2 - 10946*x**2 wrt x.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -8. Let f be u\/(-2) + 2\/2. Suppose -2*n + 2*x = 3*n - 183, 3*n - 97 = -f*x. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r**2 - 11847*r**4 - 3*r + 23697*r**4 + r**2 - 11847*r**4 - 118*r**3 in the form a*r**4 + z*r**2 + n + q*r**3 + c*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6523928852 to the power of 1\/3, to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*z = -5*r - 27, r - 84 = -5*z - 165 + 96 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + v, x = 2*v + 3. Let o = x - -2. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -79654.2995 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29585785 to the power of 1\/3, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 15*z**2 + 202*z + 204. Let l be a(-1). Solve -l + 8 = -9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -174, -464, -1026, -1950, -3326, -5244?\nAnswer: -7794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.09 - -0.06. Let g = 0.03 + q. Is 3\/2 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46033587 is divided by 9206712?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-624)\/(-3) - -2) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*g + 274 = -12*g - 8*i, -7*g - 54 = 4*i + 72 - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -79  (c) -4  (d) 4  (e) 1\/10  (f) -102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21143617787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 203 and 30671473.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -8. Let r be 2*4 + y + -1. Suppose 2*b + 390000 = r*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*u**2 + 10*u**2 + 17*u**2 + u**2 - 3*u**2 + 3*u**2 + (1 - 2*u - 1)*(41*u - 134 + 134).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 51*o - 126. Let x = -114 + 125. List the prime factors of h(x).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 2:25 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -421, -421, -429, -451, -493, -561?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in -5, 2\/1223, 0.2?\nAnswer: 2\/1223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 12*o**3 - o**2 + 4*o - 3. What is c(2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.9 - -2. Let m = 17 - 17.4. Is m at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1314b77 (base 12) to base 7.\nAnswer: -43655233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 4. Let n(m) = -m**3 - 15*m**2 + 14*m - 30. Let v be n(-16). Put o, v, 5 in increasing order.\nAnswer: o, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -34*s**2 + 5*s - 4. Let k be y(2). Is k\/15*354\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 5  (b) -2\/17  (c) 4  (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 10\/3*(-58)\/(1044\/135)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 11) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1408 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1354467 from -1155.\nAnswer: -1355622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -f + q, 0*q = -5*f - 2*q + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000667756 to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -28*d**4 - 82 + 66*d**4 - 22*d**4 - 2*d**3 wrt d.\nAnswer: 64*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/4, 2\/3, 4, -20, 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43930760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 552549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m + 3*m**2 + 2*m)*(-227 - 188 + 202 - 224) as d*m + h*m**2 + x and give h.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -520479009697 - -0.9.\nAnswer: -520479009696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) + 1)*-5 - (sqrt(363)*2 - (sqrt(9)\/sqrt(3) + 4)))**2.\nAnswer: 152*sqrt(3) + 17329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 25*n**2 + 114*n - 16. Determine q(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1482407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3*s + 6 = 0, s = -3*g + 2 + 8. Suppose g*k + 5*n - 28 = 0, -n + 0*n = -5*k + 64. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1021, -1124, -1295, -1534, -1841?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 8, 20, 50, 104, 188, 308?\n\"Answer: s**3 - 7*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (315\/35 + -10)*5\/((-10)\/18796). Calculate the highest common divisor of 148 and u.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -283920.53048049 less than 0.04?\nAnswer: 283920.57048049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/150*-54*1\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 25352, 50703, 76054, 101405?\n\"Answer: 25351*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 191603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 95930*t**5 + 30*t**4 + 4758732*t?\nAnswer: 1918600*t**3 + 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*g - 9 = -3*t, 0 = 4*g. Let d(f) = -3 - t + f + 2 - 3. Calculate d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 2*s - 11 = -l, 4*s = 5*l - 13. Let m(g) = g - 1. Let o = 2 - 0. Let z(i) = -5*i + 0 + 4 - o*i. What is l*m(v) + z(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4227 - 4227.5. What is the nearest to -1 in 3, 1404, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oba when three letters picked without replacement from swoaaswassbsbsssoss.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -123110303101 (base 4) to base 16.\nAnswer: -6d4cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of o**5\/30 - 2*o**4\/3 + 7*o**3\/3 + 18*o**2. Suppose b(t) = 0. Calculate t.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, 2, -2, 6, 1, 3, 1288 in ascending order.\nAnswer: -25, -2, 1, 2, 3, 6, 1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (4 + sqrt(1008) + -3*(-3 + sqrt(1008)))*-5 + -1)**2.\nAnswer: -14880*sqrt(7) + 104644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 2*y**2 - 2*y + 3. Let i(q) = 4 + q + 3 + 3 + 8. Let d be i(-14). Suppose 0 = -d*x + 24 - 12. What is s(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1082081, 4327193, 9735713, 17307641?\n\"Answer: 1081704*d**2 + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 287622017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 10 = x, -5 = 3*a + 5*x - 3*x. Let l = -112 + 108. Let h = 0.32 - 0.22. What is the nearest to 0.2 in h, l, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -32525  (b) 370  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*(d\/d**(-2\/5))\/d))**(-33)*(d*d**(-3)*d)\/(d\/((d\/((d\/(d*d**(-4)\/d))\/d))\/d)))\/((d**(2\/7))**33)**(-2\/5) assuming d is positive.\nAnswer: d**(384\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - 2)*(-2 - (3 + 2)). Suppose w + 426 = -5*z. Let s = 110 + z. What is the greatest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8+-0.024\nAnswer: -8.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*y**3 + 0*y + 0*y**2 - 6*y**2 + y + 21*y**3 in the form k*y + j*y**2 + g*y**3 + x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (28\/16)\/1*-4. Let l be ((-2)\/m)\/(18\/(-42)). What is the second biggest value in -0.1, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 3*l + 5*l = -6*l + 2*l + l, 4*l = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 438 + 158 = -3*v, 3*u = -2*v + 175. Let j = -209 + 242. Calculate the remainder when v is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 863 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 6:17 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -3*o**6\/10 + 23*o**3\/6 - 5*o. Find the second derivative of k(i) wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -3*o**3\/2 + o**2\/2 + 7*o. Give x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**4\/5 + 418*q**3\/5 + 652*q**2 - 1640*q = 0 for q.\nAnswer: -410, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 205*k**6 - 1352*k**4 - 467*k**2 - 2*k + 523 wrt k.\nAnswer: 24600*k**3 - 32448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 308*-211.3.\nAnswer: -65080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 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: Simplify ((o**(-1\/2))**(2\/19)*(o**1)**(-13\/4))**(-1\/34) assuming o is positive.\nAnswer: o**(251\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1380)\/140 + (-7)\/49. Let r be (-3 - 0)*(-13)\/3. Let z be (-1 + 1)\/(d + r). Which is smaller: -1\/9 or z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 100 + 100 + 270*h - 200 to j + r*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 6)*(0 + 0 - 2*u) + 30 - 2*u + 1 + 3)*(17 - 34 - 9).\nAnswer: 104*u - 884","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -229, -0.023, 5, 4, 1\/4 in increasing order.\nAnswer: -229, -0.023, 1\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187435.\nAnswer: 5, 19, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 + 20*v**3 + 33*v**3.\nAnswer: 53*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34 - -76. Suppose -5*l - 74 = -114. Suppose 0 = -u + x + l, -3*x = 2*u - 0*x - 1. What is the remainder when m is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*s**6 - 6*s**2 + 2*s + 0*s - 2*s wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 q, 1 e, and 1 y when four letters picked without replacement from {q: 2, w: 10, y: 1, e: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27258174 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -101 + 81. Let l(y) = y**2 - 8*y - 17. What is the units digit of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 10*x + 70 = 0. Suppose -b - 3 = 3*i, -4*b + 2*i + 2 = -x*b. Sort -8, -3, b in descending order.\nAnswer: b, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 93\/1298605?\nAnswer: 93\/1298605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.86 + -5.1. Let n = -0.74 - p. Which is the second biggest value?  (a) -11  (b) n  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13343\/6 + -2213. What is the common denominator of k and 101\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from {r: 3, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 171169463 plus -1?\nAnswer: 171169462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 2)*(3381*k**4 - 241*k**4 + 24*k**4) as y*k**3 + j*k + z*k**2 + i*k**4 + x and give i.\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**4\/6 + 271*u**3\/6 + 136*u**2\/3 = 0. What is u?\nAnswer: -1, 0, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29.5909 and 1711.\nAnswer: 1681.4091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 7:17 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f**2 - 2631*f + 222847. Give c(91).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**4 - 198*o**3 + 5322*o**2 - 1082*o - 101640 = 0.\nAnswer: -121, -4, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 5*l**2 - 5*l - 18. Is 3 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -4*q + 37. Let o be z(8). Suppose -o*f + 216 = -89. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(516*f**4 - 2 + 1 - 513*f**4) + (4*f**2 - f**2 - f**2)*(-2*f**2 + 0 + 0).\nAnswer: 2*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, u: 4, a: 1, g: 1, p: 2}. What is prob of picking 1 e and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2748 a factor of 2465172807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2386189316865 + -13.\nAnswer: 2386189316852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 - m**2 + m - 21. Let b be g(0). Let c = -29 - b. Calculate the remainder when c\/36 + (-276)\/(-27) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h + 0 + 0*h**3 + 1\/4*h**4 + 0*h**2. Let w(g) be the first derivative of 2*g**2 + 375. Give u(w(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (525\/(-6))\/(-25)*(7540\/(-1260) + 6).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -446 - -214. Let y = 254 + l. Solve -2*r - 4*t = 2 + 4, -5*r = 3*t + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 65 + -98. Let z = q - -36. Let f be (-14)\/(-20)*20\/35. Which is the closest to 3?  (a) z  (b) -2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 742 + 0.163.\nAnswer: 742.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -325 + 324.9863. Let q = 0.00524 + v. Round q to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 627*u + 1887. Let z be r(-3). Let k(t) = t**3 - 7*t**2 - 4*t + 12. Calculate k(z).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4788 is divided by 663?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 192982564 from -0.2.\nAnswer: -192982564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 12) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 13*l**2 + 20*l - 15. Let i be c(-11). What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -175.94\nAnswer: 87.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11864265 to 5 dps.\nAnswer: 0.11864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 656772 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 7:27 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fcfcccccfffcccccfc. Give prob of picking 3 f.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1736373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.02, 0.065, -1, -2\/57, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13789567 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 89 + -178 + 79 + 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -233*i**2 + 110387*i - 2. Let p(o) = o**2. Calculate r(p(v)).\nAnswer: -233*v**4 + 110387*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40*k**2 - 2 + 18*k**2 + 2 to the form y + i*k**2 + a*k and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - i = -9, -p - 4*i = -0*i - 3. Suppose -u = -5*r - 6 + 15, 0 = -4*u + p*r - 2. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 2*i**3\/3 - 1. Let j(q) be the second derivative of 0 + 0*q**3 + 0*q**2 - 3\/4*q**4 - 7*q. What is j(m(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z**3 - 372*z - 377*z + 746*z.\nAnswer: -14*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - 14. Let h be (-1976)\/(-114) + (-1)\/3. Let x = h - j. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6341 - 0.5741. What is the closest to -3\/5 in -2\/11, 0.2, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 6*s - 4. What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 118  (b) -5  (c) 129  (d) 0.594\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(165)*1*-2 - sqrt(165))\/(sqrt(33)\/(sqrt(55)\/sqrt(5))))\/((sqrt(110) - (sqrt(110) - sqrt(110)*-1*4))\/(sqrt(360)\/sqrt(4))).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -134201 and 25649555.\nAnswer: 25515354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12082 - 11977 = -35*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**2 - 2*l**2 - 4*l**2 - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -2*n + 32, -n = 2*k - 133 + 94. Solve w = 4, -2*w + 31 = -m + k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -70*j**2 + 975*j - 973. What is m(1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -8*r - 5. Let i(t) = -33*t - 21. Let f(m) = -21*g(m) + 5*i(m). Let x(b) = -2*b**2 - 38*b. Calculate x(f(d)).\nAnswer: -18*d**2 - 114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -16904, 3\/2, 4, 0.4, -1.2, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 13*a**2 - 1 + 11*a**2 + 9*a**2 in the form z*a**2 + s + b*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -42.4 and 41504.2.\nAnswer: -1759778.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (77 - -13 - 5) + 36\/6.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 796672 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1350237 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s + 5. Let t(l) be the third derivative of 1\/2*l**3 - 5*l**2 + 0*l + 0 + 1\/24*l**4. Give 7*t(p) - 4*w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 14 + 118 = 22*c, 1091*c - 4*a = 1089*c + 12 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -5*y**2 - y + 1. Suppose 5*s = p + 3 + 5, -4*s - p = -1. Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -618 + 40168\/65. Let t = -1\/2052 + -20507\/26676. Let u = t + q. What is the smallest value in u, 1, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/16 + -1 - (-7)\/(-196)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 i, and 1 h when three letters picked without replacement from {i: 1, g: 1, h: 2, r: 1, s: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 1 - 35*h**3 + 37*h**3 to the form x*h**3 + i + k*h**2 + r*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1865052240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 5*b + 2. Let g(w) = -1. Suppose 0 = -5*r + q + 2409, 7*r - 3*r - 2*q - 1926 = 0. Let h = r - 483. What is h*g(m) - n(m)?\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5330.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -23 - 20 - 13.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8872 divided by -1221\nAnswer: -8872\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.44, 5, 4013 in descending order.\nAnswer: 4013, 5, -1\/3, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m - 12. Let a be h(-8). Suppose -2*o + a = 4*o. Calculate the remainder when 8 + 1 + (-3)\/3 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 44*(5 - (-60)\/16). Calculate the highest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -11 - (-139 + 119)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4\/5, 3, -37, -0.02?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 221931190 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -19473 - -3702\nAnswer: -15771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61744228 by 339254.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-8 - -4 - (-4 + 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2*f - 14, 7*f + v - 10 = 2*f. Solve -6 = 2*x - f*y - 4, 4*x + y = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 + 2*k - 1. Let x be q(1). Suppose -3*z = -4*z - 3, -2*c = x*z - 129. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of -u**4\/6 - 14*u**3\/3 - 3*u**2 - 5*u + 163. Let f(x) = -4*x. Determine f(z(g)).\nAnswer: 16*g + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 817 - 439 - 454 = 19*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -54, -98, -166, -264, -398, -574?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 2748?\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 5*u + 13. Let c be f(7). Let b be (c + (-65)\/(-41) - 1)\/(-1). Let r = -881\/246 + b. Are r and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 30 = -3*s + 8*a, 50 = -5*s + 4*a. Let r = s - -13. Differentiate 19 - 10 + 5*i**4 + r with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 4*u**5\/11 - 34*u**4\/11 + 96*u**3\/11 - 104*u**2\/11 + 32*u\/11 = 0.\nAnswer: 0, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58\/65 - -496\/585. What is the fourth smallest value in v, -15, -1\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1702829 and 21947?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 4*c = c, 0*h = h + 15*c - 8*c - 10*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 3495*h + 4731*h + 103 - 117 as l + i*h and give i.\nAnswer: 8226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -d + 3*c, 4*d + 0*c - 62 = -3*c. Solve d*f - 22*f - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 6:28 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 872992281 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: (4\/(-49))\/((-24)\/84)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59992430 - 29996204 - 29996226 + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/(-50))\/(4\/(-10)). Let z = 55 + -54.6. Which is the second smallest value?  (a) -29  (b) x  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3888 - 3868. Let z(l) = 2*l - 45. Give z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/7?  (a) 1.6  (b) -3  (c) -5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = y - 2*c + 314, 74 = y + 2*c. Let z(n) = -n**2 - 7*n + 4. Let a be z(-6). What is the highest common divisor of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -176 + 180. Suppose 6*x + 1426 = 2*j + u*x, -2*x - 716 = -j. List the prime factors of j.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**0)**(-41)\/(h**(-1\/3))**(-34))**(2\/21))**20 assuming h is positive.\nAnswer: h**(-1360\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -156586, -156588, -156590, -156592?\nAnswer: -156594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01114777097 rounded to 5 dps?\nAnswer: -0.01115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/13 + 54160\/182. Let q = k + -297. Sort q, -1\/3, 1\/3, 0.2 in increasing order.\nAnswer: -1\/3, 0.2, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from osseoossosseeoses. Give prob of sequence eeo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6168454 - -6168346.99844. Let p = v + 107. What is p rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -20, -3 in decreasing order.\nAnswer: 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -3*h**2 - 2*h. Let t be o(2). Let d be (-12)\/t - 2\/(-8). Solve -i - 2 = d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((4\/(-12)*0)\/1)\/1. Suppose b = -3*f - 5*u - 61, f + 5*u = -1 - 6. Calculate the remainder when 74 is divided by f\/45 + (-98)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/25 and 12 + (-780)\/66 + 1823\/(-9240).\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30386488?\nAnswer: 2, 11, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(0 + 2\/(-1)). Let x = v - -5. Sort -4, 0, x in decreasing order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 449225 and 17425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/4 - 5435793*f - 10871587.\nAnswer: (f - 21743174)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*t - 2)*(3*t - 3*t + t) + (-6*t + 4*t - 2*t)*(-5 + 5 - t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -4*q - 96, g + q - 4 = -2*q. Is g > 104\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3456, -2001, 4348, 15591, 31728, 52759, 78684?\nAnswer: 109503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u, 2 - 8 = 1896*n - 1899*n - 32*u + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -17\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5105096*c*i**2 + 11*c*i - 22383*c wrt i?\nAnswer: 10210192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5201 (base 9) to base 3\nAnswer: -12020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - 2 - (-1228)\/(-28). Let l = t + 44. Which is the closest to l?  (a) 1\/11  (b) 0  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(1\/6)*d))**(-31)\/(d**(-3\/5)*d**(2\/5)) assuming d is positive.\nAnswer: d**(161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -4*s - 11, 49*t - 619*s = -15*t - 614*s + 276 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 11907*h**4 - 756*h**3 + 12*h**2 = 0. What is h?\nAnswer: 0, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (1 - (-3 + 3 + -89)). What is the tens digit of ((-1)\/(4\/c))\/(6\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 13*h**2 - 14*h - 15. Let v be k(14). Let x = 27 + v. Suppose -b = 3*b - x. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 14, j: 4}. Give prob of picking 1 j and 2 g.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002577509 to six dps.\nAnswer: -0.002578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -313 by 313.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 482151 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/3)*o*o**7*(o*o\/(o*o**(5\/2)))\/o**(5\/4) assuming o is positive.\nAnswer: o**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 106751161 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 (base 10) in base 13?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009348 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8*2\/(-36) + 0\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 1641*n + 278362. Calculate i(155).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2495943 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -842 - -816 - (1 + -17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/(4\/4)*131 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*(-6*a - 10*a + 9*a)*(2*a - a + 0*a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 297*c**3 - 4311*c**2 - 756581*c + 3.\nAnswer: 1782*c - 8622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 85219.22mm in micrometers?\nAnswer: 85219220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (1 + 2) - (-30 + 68 + -12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (162 - 157 - (0 + 1)) + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*f - f**2 + 8*f**3 + 0*f**4 - 6*f - f**4 to s*f**4 + y*f + r*f**2 + u + w*f**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 4*u = 258 - 268, 3*u - 7 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2231 + -2087 + (-4 - 44).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h**2 - 65*h - 245. What is z(-14)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.539835259 rounded to four decimal places?\nAnswer: 2.5398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26979272.\nAnswer: 2, 17, 198377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -962982641 - -4.\nAnswer: -962982637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 12, 50 in increasing order.\nAnswer: -6, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 6*b - 1054. Let x = b - 196. Solve -4*v = j - 14, -x*v + 14 = 3*j + 2*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000769 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 191 - 117. Let t = u - -130. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -10.3. Which is the smallest value?  (a) -2  (b) o  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5\/10)\/(15\/12). Is -39 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 6, x: 2, i: 4, n: 4, o: 2}. Give prob of picking 2 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t - 9. Let i be l(4). Let o(u) be the first derivative of 0*u**2 + 1\/5*u**5 + 1\/3*u**i - 1 + 0*u - 1\/2*u**4. Let o(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 3. Let g = -3.6 + b. Let o be 0\/1 - 0\/(-1). Put o, g, 3 in descending order.\nAnswer: 3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77100 divided by -4\nAnswer: -19275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75325 and 917?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -726*f - 727*f + 2128*f - 673*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -164 + 166. Which is the closest to -1\/8?  (a) v  (b) -2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -g - 18. Let l(k) = k**2 + 10*k + 6. Let r be l(-9). Sort g, r, 5 in descending order.\nAnswer: g, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 16 = -15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 75*k**2 - 3*k + 3. Let t be y(1). Suppose 3*q = 15 + t. Suppose q = 4*g + 6. What is the lowest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 96.9990957 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 4:04 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/(152\/64) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 + x**2 - 6*x**2 + (-3*x + x + 0*x)*(-2*x - 4*x + 4*x) + 3*x**2 - 3*x**2 - 3*x**2)*(-2 + 5 - 2).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10277 - 10262. Calculate the lowest common multiple of 1060 and h.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97232 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3945 - 11851 + 3942 - 5*b + 3950.\nAnswer: -5*b - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 0.060217619?\nAnswer: -0.0240870476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -1333*t**5\/30 - 7*t**4\/12 - 49*t**3\/6 + 171*t**2. Find the second derivative of g(v) wrt v.\nAnswer: -5332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -306466 divided by 7?\nAnswer: -306466\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 35*m**2 + 9. Let o(j) = -21*j - 2. Calculate x(o(b)).\nAnswer: 15435*b**2 + 2940*b + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -132 and 4267.32?\nAnswer: 4399.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -274, 4, 3208 in increasing order.\nAnswer: -274, 4, 3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5dd + 141dc?\nAnswer: 13aee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.13 + -0.23. Which is bigger: t or -1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 16 = -4*q + 14, 4*q - 10 = 5*t. Calculate the remainder when 8\/(-6) - 998\/(-6) is divided by (4\/(-6))\/(-3*q\/540).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2235, 2332, 2433, 2538?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -127, -162, -163, -118, -15, 158?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, z: 3, b: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13036, 50229, 111598, 197143, 306864, 440761?\nAnswer: 598834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -351, -1\/4, 1\/5, -1, -3, 0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -43, -1098, -11, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6217 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: Four letters picked without replacement from iiiiuiuiiiiiiiiiiii. What is prob of sequence uuii?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*v**3*z + 9646264*v**3 - 312*v*z + 686*z wrt z.\nAnswer: -9*v**3 - 312*v + 686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*p**3*u**2 - 3062*p**2*u**2 - 52*p**2 - 2*p*u**2 - 3*p*u + 28*u**2 + 1878*u - 2 wrt p?\nAnswer: -12*p*u**2 - 6124*u**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 + 36 = 23*h - 16*h. Suppose -3*v + 3*n - 7*n = -49, -5*v + n + 51 = 0. What is the second derivative of 7*g**3 - 19*g + 2*g**3 - v*g + h*g**3 wrt g?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (140\/34 - 4\/34) + -347. Let m = 640 + l. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1489*b - 1482*b + 116*b**2 - 1479*b - 1480*b + 7411*b - 1485*b.\nAnswer: 116*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 1050 + 1046 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 102302 (base 4) to base 15\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sdnd when four letters picked without replacement from dnsssdsssddssddsddo?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 432 + -428. Let t be (10\/(-14))\/1 - -1. What is the closest to 4 in t, 2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 151, 1271, 4321, 10267, 20075, 34711?\nAnswer: 55141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 153 = -i. Let k = 138 - 63. Let w = k - i. What is the greatest common factor of w and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1114175829 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*r + 51, -3*n - 5*r + 214 - 191 = 0. Solve -12*o - n = -23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - d - 2*d)*(-5*d + 4*d - d)*(-12*d**3 + 37*d**3 - 3*d**3).\nAnswer: 176*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 923 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: Solve -1329*h + 18589 = -10649 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.445028 + 0.474. Round r to 4 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**17\/((p*p**0*p)\/p))**(1\/10))**(-2\/21) assuming p is positive.\nAnswer: p**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 12:52 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -73.2?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, r: 2, q: 4}. Give prob of sequence qm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -7*n**2 - 5*n - 8. Let t(b) = 6*b**2 + 5*b + 9. Let k(o) = 5*i(o) + 6*t(o). Let l be k(-6). Let g be (-14)\/35 + 13\/l. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 1031121110?\nAnswer: -1031121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.2, 1\/2, 1\/3, 98, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h - 2. Let l(b) = -19055*b**2 + 11*b + 26. Let y(v) = -l(v) - 5*o(v). Let a be y(-6). What is a rounded to the nearest ten thousand?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -65920397 or -65920390?\nAnswer: -65920390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.74 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5151257 by -155.\nAnswer: 5151257\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.080805394 to three decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4279706 divided by -32.\nAnswer: 2139853\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 137 = 5*n, 5*k + 103 = -5*n - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1209781587.55 from -7217.\nAnswer: -1209788804.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000081351 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o + 61 = -c - 3*c + 3, c + 2822*o - 2826*o = -3 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75160\/11274*(63\/(-8))\/(60\/40).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 11*m = 14*m + 32, -4*z = -2*m - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/792378 and 149\/6300.\nAnswer: 277332300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 1) + 0 + 7 + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1177\/558 - -12\/31. Calculate the common denominator of 59\/12 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16348316969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of -x**6\/360 - x**4\/12 - 3*x**2. Let a(j) be the second derivative of b(j). Let h(g) = -2*g**2. What is a(h(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24444*j**4 - j**2 - 360990*j wrt j.\nAnswer: 293328*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -4*y**2 - 36*y - 4. Let u(v) = 4*v**2 + 36*v + 3. Let f(k) = -3*a(k) - 4*u(k). What is the second derivative of f(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 1.2. Let m = -34 - -32.98. Let g = 1 + m. Which is the second biggest value?  (a) s  (b) 2\/9  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 739463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + -12.9. Let z = -33.4 + 34.4904. Let m = z - u. Round m to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3 - 13 = 2*z, -2*z = 4*k. Suppose -4 = c - k. Let r be 0*c\/6 + -11. Is -12 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -733004*x - 3614268 wrt x.\nAnswer: -733004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -30 - 121?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 2, e: 5, i: 1, j: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 12*n = 64. Suppose 3*l = 4 - n. What is the closest to -2\/9 in -0.4, l, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.146 - -5.036. Which is the second biggest value?  (a) 6  (b) y  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -92, -122, -190, -308?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/69 - 232\/23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(16\/12)*(-6 + 262\/(-6)). Which is the closest to -1\/4?  (a) -1  (b) -0.1  (c) k  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q**5*q*q)\/q*q*q*q**1)\/(q**(-3\/5)*q*q**(1\/3))*(q*q*q*q**0*q)\/q*q*q*q**(-4\/7)*q\/(q\/(q\/(q*q\/(q\/(q*q**2)))))*q**(-3) assuming q is positive.\nAnswer: q**(808\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 129\/22 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 4014979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 x, and 1 t when three letters picked without replacement from {l: 1, x: 1, z: 1, f: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -93.26 + 91. Let z = 32.26 + -32. Let o = f + z. Put o, -1, -5 in decreasing order.\nAnswer: -1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -144440678 to the nearest 1000000.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 36 = -13*s. Solve s*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 74 + 1754. Which is bigger: -238 or p?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -92.3 + 84.3. What is the second biggest value in c, 4, -37?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5 - 26*m**4 - 402*m**3 - 1318*m**2 - 464*m + 2208 = 0. What is m?\nAnswer: -4, -3, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 41622, -33, -21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - c**2 + 3*c - 1. Let h(m) = -2*m**3 - m**2 + 4*m - 1. Suppose -3*w - l + 15 - 2 = 0, -7 = -2*w + l. Determine w*y(q) - 3*h(q).\nAnswer: 2*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 AM and 10:53 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89118?\nAnswer: 2, 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 964989 and 1198?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 15*p = -420. Let k(y) = p*y**3 + 24*y**3 + 13 - 55*y**3 - 4*y**2. Let j be k(-3). Solve -j*v = -v + 5*d + 21, -d - 13 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 507*b + 518*b + 507*b + 5 + 8 - 1519*b. Let c(j) be the first derivative of -3*j**2\/2 - 3*j - 1. Calculate -9*c(q) - 2*k(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m**4 + 116*m + 20*m**2 - 3*m**4 - 130*m to d*m + l*m**3 + f + s*m**2 + i*m**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - 2*y**3 - 2*y**3)*(5 - 5 - 7*y)*(-3 + 0 + 0).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 6*p**2 - p - 3. Let a be b(-6). Suppose 0*d - d + a = 0. Let -12 - 2*j**2 + 2*j**d + 12 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/8736 and 93\/201362.\nAnswer: 125649888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 176 and 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1412 (base 14) in base 6?\nAnswer: 24224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 15, 22, 25, 24, 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 56*y - 756. Let g be c(-68). What is the highest common divisor of 1220 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z = 14*z - 2450. Let u = z - 506. Is u equal to -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3 = -r + 3*a, -3 = 2*r - 3*a. Suppose -4*b = r*c - 2540, -3*c = -0*c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*m**3*p - 7887713*m**3 - 1297307*m**2 - 72*m*p wrt m.\nAnswer: -36*p - 47326278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6822 - -13531. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 847453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 60*h**2 - 29*h - 1673. Calculate v(59).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 134040000 to the nearest 1000000.\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -11460000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 106 + 2 = 0. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*w - 20. Let l(j) = j**2 + 6*j + 7. Let r be l(w). Solve -1 = -r*v + d, 0*v - v = -4*d + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/(-3) - -2 - 110*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 488.6 + -488. What is the closest to 2\/5 in 3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238290 rounded to the nearest one hundred?\nAnswer: 238300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*g = -175*g + 3*p - 0*p + 27, -6*p = -3*g - 45 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 462.09991862 - 462.1. What is s rounded to 6 decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - 21.1. Let m = r + 1.1. Let d = -301\/1555 - 2\/311. Which is the closest to -3?  (a) 1\/5  (b) d  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g - 2. Let r be t(7). Find the common denominator of (-2)\/8*(-508)\/6 and 66\/r*10\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5895, 23507, 52847, 93915?\n\"Answer: 5864*s**2 + 20*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4475\/75 - (-2 + (-8)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 3*t - 2. Let d be k(3). What is the derivative of -7 - d*h**2 + 29 + 3 - 1 wrt h?\nAnswer: -32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 + 73*t**2 - 138*t - 6411. Calculate d(-36).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7101, 28352, 63749, 113292, 176981, 254816?\nAnswer: 346797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -51713*x. Let b(i) = -i. Determine b(p(m)).\nAnswer: 51713*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -4*w + 2. Let t(v) = -5*v + 2. Let m(c) = -5*t(c) + 6*u(c). Let r be m(-8). Let b(l) = 4*l + 2. Let k be b(-2). Are k and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v - 2. Let l(p) = p**2 + p - 3. Let g be l(-3). Let d(k) be the first derivative of -5*k**2\/2 - 4*k + 4. What is g*d(q) - 7*x(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 12:19 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34\/13 in -2, 5, 18\/149, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 349 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of l**2 + 0*l + 9 - 2\/3*l**3. Let d(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 - 34.2. Let w(x) = 2*x - 6. Let y be w(4). What is the closest to 2\/3 in f, y, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1033693\/3400 - -7588\/25. What is the common denominator of -85\/2 and w?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwg when three letters picked without replacement from {w: 2, d: 7, g: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 61454*l**3 - 45242 with respect to l.\nAnswer: 184362*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 = 356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 335175770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 1 + 7, -5*c - 5 = -5*x. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + o**2 - 4*o - 3 + 6*o to w + q*o**2 + i*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55.441 + 55.440965699. What is s rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*w - u, -7 + 3 = 2*u. Let o be (2\/18)\/(2\/4314). Let t = -237 + o. Which is the second biggest value?  (a) w  (b) -3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + ((-7 - 0) + (32 - 30) - (154 - 154))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -3. Suppose -239*f - 95 = -258*f. Which is the third biggest value?  (a) f  (b) k  (c) 0.6  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 9, 2*z - q - q = -14. Let b be (-2)\/z + (-27)\/2. Let i = -8 - b. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f = 2*v + 10, -3*f = -5*v + 1079 - 1104 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 12:28 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1892886205.\nAnswer: 5, 7, 3803, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rsro when four letters picked without replacement from {s: 1, q: 8, o: 2, r: 2, h: 5}?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 25, 53, 103, 181, 293, 445?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 6*r**3 - 5*r**2. Let l(o) = 6*o**3 - 6*o**2. Determine -5*l(u) + 6*z(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17\/(170\/15) + (-12)\/8. Let v(o) be the second derivative of 5\/12*o**4 - 2*o + a*o**2 + 0 + 5\/3*o**3. Determine h so that v(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(1 - 6 - -6). What is the greatest common divisor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/1020*5*1\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 15. Suppose 0 = 2*w - 1 - d. Suppose 36 = b - 4*s - 10, 4*s + w = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 - 70 = 51*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 10:38 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 32 = -5*j, 17 = 3*g - 3*j - 7. Suppose g*w - 5 - 15 = 0. Suppose -5*d - w*q + 15 = 0, -4*d - 3*q = d - 11. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 18 = -0*j. Let f = 5 + 4. Let i = j - f. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16236 and 10332?\nAnswer: 113652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -7. Suppose p = q + q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 7:23 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 190320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*w = q + 238*w - 2, -34 = 3*q + 5*w for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 124282800 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1104 - -1?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 418117*n**2 + 420645*n**2 + 2 - 843583*n**2 as t*n + v*n**2 + u and give v.\nAnswer: -4821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -263, 5 in decreasing order.\nAnswer: 5, 1, -1, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2687 * 0.5.\nAnswer: 1343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 2*j**2 + 3*j. Let v = -6 + 3. Let i be d(v). Let q = -7 - -11. Solve -q*u - 8 = i, -b + 5*u = -7 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 111*y**2 + 35*y + 285. Is l(49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 18*j + 72. Let p(r) = 7*r**2 + 147*r + 588. Let k(b) = 49*f(b) - 6*p(b). Let c(a) = -4*a - 9. Calculate c(k(n)).\nAnswer: -28*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20387.05 hours to milliseconds.\nAnswer: 73393380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1454 - -1346. Is c >= -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qryqq. Give prob of picking 1 y and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2\/11, -1, -7, -3 in decreasing order.\nAnswer: -2\/11, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**3 - g**2 + g. Let w be k(1). Find the first derivative of p - 9*p + w*p + 9 + 0*p wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -4*l + 13. Let d(m) = -7*m + 25. Determine -5*c(x) + 3*d(x).\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 0*o**2 + 0*o**3 + 5*o - 1\/4*o**4 + 0. Let q(d) = 1. Let p(x) = -x - 4. Let y(r) = p(r) + 4*q(r). Determine u(y(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -3, 2 in decreasing order.\nAnswer: 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 11:44 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.19, 0.1, 0.02, 12\/19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 170*s**2 + 5. Let k(d) = -d. What is b(k(m))?\nAnswer: 170*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 159.311ml?\nAnswer: 0.159311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - s**2 + 17*s + 2. What is m(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31.8 + -31.8. Which is the second biggest value?  (a) -1  (b) 2  (c) s  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 177 - 47. Calculate the remainder when 103 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 12. Let p(a) = 115*a + 305. What is p(v) - 25*t(v)?\nAnswer: 115*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s + 10. Let k be f(-6). Suppose -k*i + 2*u + 138 = 0, -2*i + 3*u + 3 + 76 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(-2) + 8 + 36\/(-6). Suppose -14 = 7*u - v*u. Are u and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 4:13 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1412746287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -7*p**2 + 2*p + 5. Let i(l) = 8*l**2 - 3*l - 6. Let o(f) = 7*h(f) + 6*i(f). Let z be o(-2). Solve -z*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -9 + (-16 - -7) - (0 - 10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -142*r + 134. Is 58 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -22469, -44937, -67405, -89873, -112341?\n\"Answer: -22468*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 60632758*m**2*w**3 + 150606878*m**2*w**2 wrt w.\nAnswer: 363796548*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -17*l - 2100178. Let j(d) = 2*d**2. What is p(j(c))?\nAnswer: -34*c**2 - 2100178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i**3 - 9*i**2 + 5*i - 3. Let j be (-696)\/3132 - ((-20)\/9 + -1). Let v(l) = -2*l**3 - 5*l**2 + 3*l - 2. Determine j*q(n) - 5*v(n).\nAnswer: -2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 248 + -128. What is the smallest common multiple of t and 156?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 1:40 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 + 29 - 10 + 33 - d.\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 2*f + 4 = 0, -62*x + 53*x - f - 23 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -7*l**2 - 5. Let r(u) = -3 + 6 - 1 + 7*u**2 - 4*u**2. Let y(c) = 6*f(c) + 15*r(c). Let z(s) = 9*s - 3*s + 0*s + s. What is y(z(j))?\nAnswer: 147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 61790.78\nAnswer: -61790.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24121 - 13*l**2 + 24121)*(-l + 4*l - l)*(-4 + 0 + 3).\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -8*t - 97. Determine v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7065 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: What is -238 divided by -83265?\nAnswer: 34\/11895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 99429, 397841, 895247, 1591647?\n\"Answer: 99497*n**2 - 79*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from mnnnmnnmmnnmn.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(343)*-4)**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(-3\/7)\/i*i)*i)**27*(i**(-3\/4)*i)\/i**(-8))**3 assuming i is positive.\nAnswer: i**(6201\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -225.9 - -36711345768?\nAnswer: 36711345542.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**6\/240 - g**5\/24 - g**4\/6 - g**3\/3 - 4*g**2. Factor b(n).\nAnswer: -(n + 1)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from nlpw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-2 - 1) - (13 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/433?\nAnswer: -5\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = c - 12, c = -2*t + 3. Let x be 43 - 1120\/21 - -12. Factor 1\/3*j**5 - x*j**2 + t + 5\/3*j**4 + 2*j - 7\/3*j**3.\nAnswer: j*(j - 1)**2*(j + 1)*(j + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 77.80896 to two decimal places.\nAnswer: 77.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 22 - 551*z + 16 + 17 - 55. Let x(f) = 25*f. Let r(c) = -6*w(c) - 133*x(c). Let v(d) = -7*d. What is v(r(u))?\nAnswer: 133*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 + 7*t - 3. Let r be g(-6). Find the third derivative of -7*o**3 - r*o**2 - 2594 + 2594 wrt o.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -239 divided by -75238.\nAnswer: 239\/75238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -88 and 104.106.\nAnswer: -9161.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1249 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19324*c**3 - 19328*c**3 - c - 3*c + 4*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50 + 53. Let u(b) = -15*b**3 + 9*b**2 - 2*b + 16*b**3 + 0 + f. Calculate u(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12080 + -9509. Is w a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**5 + c**3. Let n(m) = -2*m**5 - 2*m**3 + m**2. Let t(g) = -n(g) - 2*v(g). Find the third derivative of t(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/(-9) + 3171\/63. Let i = o + -43. What is the highest common divisor of i and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -5\/7, -4\/7, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007954 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22\/29 - -3409\/174. Find the common denominator of -63\/5 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/10 - 94569944\/(-70). Round y to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*u - 8*u - 81 = 0, -67 = i - 4*u. Let r = 194 + i. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = 10*i + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3628215 rounded to the nearest 10000?\nAnswer: 3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**5\/3 - 82*h**4\/3 + 29*h**3 + 328*h**2\/3 - 332*h\/3 = 0. Calculate h.\nAnswer: -83, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -27 + 23 - -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 7 = -a, 3*a - 8*a + 3*v = -16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 20*c**2 - 32*c - 156. Let o be n(-19). What is the highest common divisor of 364 and o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7627184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.8 - 0.8. Let r = 1617 + -1616. Suppose -5*h - 5*p + 30 = 0, -5*h - 2 + 41 = 2*p. Which is the closest to r?  (a) v  (b) h  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) 17  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 98947 bigger than 494732\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-84)*(2 + -8). Factor 6\/7*w**3 - p + 6\/7*w**2 - 3\/7*w - 3\/7*w**4 - 3\/7*w**5.\nAnswer: -3*(w - 1)**2*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 - -62469?\nAnswer: 62463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 - -54. Let s(n) = -n + 20. Let h be s(y). Suppose 6*x - 2*x - 934 = -g, -5*x - 3631 = -h*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10127235 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 4*r - 38, 3*c = 2*r - 3*r - 22. Let b = 32 + c. Let w = 25 - b. Solve 2*a - w*p + 12 = -0*a, -2*a - 4*p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 4. Let u be (1 + -3)*(-2 + 1). Suppose 2*w + w = a + 16, -2*a = u*w - 8. Solve -w*c + 2*l = -5, -c + l + z*l + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/7 and -9457631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3572604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (1676\/(-2095))\/(40\/1890*7)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + ((1 + sqrt(2) + 0 - ((5*sqrt(32) - sqrt(2)) + sqrt(2)))**2 - sqrt(22)\/(sqrt(44)\/(sqrt(4)*1) + sqrt(11)))).\nAnswer: -231*sqrt(2) + 4362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m. Let k(b) = 25870*b**2. What is k(f(n))?\nAnswer: 103480*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.037 * 0.789096.\nAnswer: 0.029196552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -88 + 196. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -27*(-2)\/(-3)*-1. Let z be (d\/3 + 0)*1. Find the third derivative of 2*i**2 - i**2 - 2*i**z + i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - d + 11 = 0, -i + 3*d + 31 = 4*i. Suppose -i*w + 75 = -197. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-2)*6*(-3)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(8\/5)*i)\/(i*i*i**(-2))*i**3*i\/(i*i\/i**(-10)*i)*i*i assuming i is positive.\nAnswer: i**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 690.9412kg in grams?\nAnswer: 690941.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.036157 - -14913\nAnswer: 14913.036157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 5 - (-3 - -2). Suppose b*x - 966 = -2*c + 160, x - 5*c = 265. Suppose n - 4*y - 357 - x = 0, 5*y = 4*n - 2559. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.96*467569.\nAnswer: -2319142.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-3 - -9) + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1695 + 3711. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8*b**3*x + 4958682*b**3 + 23*b**2*x - 753*x wrt x.\nAnswer: 8*b**3 + 23*b**2 - 753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*d**3 + 2*d**2 - 477 wrt d?\nAnswer: -66*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11511430 (base 6) in base 11?\nAnswer: 23092a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 397*q**2 + 21318*q - 42. What is x(-64)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 44d (base 16) to base 11\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - 18, m - 28 = 73*q - 68*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20, -0.22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 12 = 0, 2*k - p - 4*p = -26. Let f be 132\/16 - k\/(-12). Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -151*r**3 - r**2 + r. Let j = -1 + 2. Let w be x(j). What is w rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**(-8)*b\/(b**(-1\/6)\/b*b))\/((((b*b**(-1\/5))\/b)\/b)\/b**(2\/3)))\/(b*(b\/(b\/(b*b\/b**3)))\/b*b*b\/(b**1*b))**(-2\/41) assuming b is positive.\nAnswer: b**(-3709\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + -128015.\nAnswer: -128014.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18227732 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -37463 divided by -14\nAnswer: 37463\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) -1  (b) -8  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73979718 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Find b such that 36*b**4 + 203961*b**3 + 18178704*b**2 - 7643871*b - 3043950 = 0.\nAnswer: -5575, -91, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 2. Give o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-154132)\/93)\/((-2)\/6). Suppose 20*c = -p + 19952. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 856900336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q\/(q\/(q**(3\/8)\/q)))\/q)*q*q**(-3\/2))\/(q*q**(-1\/2)*q*q*q*(q\/(q*q\/q**(-5)))\/q) assuming q is positive.\nAnswer: q**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 645 is divided by 534?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/29, -0.2, 0.092, 0.5 in descending order.\nAnswer: 0.5, 0.092, -2\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 70, -10, 3, 60 in increasing order.\nAnswer: -10, 3, 60, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s. Let b be 77*(-5)\/35 + 12. Let m(u) = -u + 6. Give b*m(w) + 2*y(w).\nAnswer: w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -6\/5, -0.6, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-8))\/(3*(-13)\/26). Which is the second biggest value?  (a) 1.1  (b) 8  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (((sqrt(204)*-2)\/sqrt(6))\/((-1*sqrt(18))\/sqrt(9)))**2)*5.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 3450 = -2556. What is the common denominator of (8\/(-55))\/(u\/245 + 4) and (4*3\/(-6))\/((-168)\/(-116))?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2342002292 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 219177001*i**2 + 87223359 wrt i?\nAnswer: 438354002*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.261  (b) 4\/7  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23141*f**2 + 22905*f**2 - 44620*f**2.\nAnswer: 1426*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/102*(-91)\/(-77168)*106?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -13. Which is the closest to 1\/3?  (a) h  (b) 2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/44, 426, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 318 and -288117013.\nAnswer: -288116695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/3239082 and 58\/9471.\nAnswer: 3239082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-10)\/(-16))\/(335\/938).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/7 - (-2 - (-1468)\/(-28)). Which is smaller: 54 or i?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27706230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 - 25. Put b, 2, 4 in descending order.\nAnswer: 4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-5)\/500 + (-2)\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 374b91 (base 15) to base 6.\nAnswer: 132434031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -159 + 808\/5. Which is bigger: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8348500 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*t, 7 - 1 = -2*t + 4*v. Let s(b) = 17*b**2 + b. What is s(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611150381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i\/i**2*i*i)\/i*i)\/(i**(-1\/15)\/i)*(i\/(i*i**(5\/4))*i)\/(i\/(i\/(i*i**0))) assuming i is positive.\nAnswer: i**(109\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 159 - 153. Suppose l*g - 3713 = -173. List the prime factors of g.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -91864*h + 1 - 1 + 103259*h - 2055*h**4 - 7053*h**4 wrt h?\nAnswer: -109296*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) 26  (c) -0.0762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g**3 + 2*g**3 - 3*g**3)*(11 - 11 - 2*g) to the form j + d*g**2 + y*g + n*g**4 + f*g**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -176 and 110.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -1a0?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*s = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 105*x**2 + 91*x + 91. Let o(a) = -32 + 17 + 7*a**2 + 6*a + 21. Let p(r) = -91*o(r) + 6*w(r). Let y(g) = 4*g. Give y(p(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 188910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00129844715 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 * 0.033.\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106875119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 81216*h**3 - h**4 - 2*h**4 - h - 81164*h**3 to d*h + m*h**4 + b*h**2 + t*h**3 + z and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8321052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10490 and 48430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5123 divided by -1.\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 108\/(-486)*9\/(-22)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -87 + 434. What are the prime factors of g?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 4429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4360\/23 or -189?\nAnswer: -4360\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -48559.8 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -28, -31, -20, 11, 68, 157?\n\"Answer: i**3 + i**2 - 13*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j**3 - j**2 + 2*j - 1. Let i be c(-2). Suppose -h - 230 = -11*h. What is the greatest common divisor of h and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1404\/7*m**3 + 4050\/7*m**2 - 3\/7*m**5 - 567*m + 174\/7*m**4 = 0. What is m?\nAnswer: 0, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 315 + -3161\/10. What is the common denominator of i and 28\/253?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 153182*h**4 + 5*h**3 + 1585615*h**2 wrt h?\nAnswer: 3676368*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2772 - 863. What are the prime factors of a?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1472 (base 11) in base 7?\nAnswer: 5344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-20)*(7 + -1) - -1. Let j be (n\/6 + 26\/(-3))*-1. Suppose 84 - j = 5*i. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -134, -0.4, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, 4, -7263, 14 in ascending order.\nAnswer: -7263, -6, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 290 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 721170.\nAnswer: -721174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -a6992?\nAnswer: -a6988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 2*l - 1. Let n be o(3). Suppose -5*a - 4*q + 496 = 0, q + 301 = -2*a + 5*a. Calculate the highest common divisor of n and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 16*d**2 + 12*d - 29. Suppose -29*j + 26*j - 42 = 0. List the prime factors of y(j).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 46, -5, 1, 2, 11 in increasing order.\nAnswer: -23, -5, 1, 2, 11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {m: 3, e: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.34591673 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 4*a**2 - 2*a - 1. Let d(k) = -k. What is the smallest common multiple of d(-3) and x(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 1379 + 1014 = -5*o, -9635 = -4*r - o. Let z = r + -1322. Is z\/45 - 4\/30 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + f + 33 = -12, p + 1 = -5*f. Let n = p + 19. Solve 6*w = 3*w - 4*u + 23, 2*w - u = -n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140*(-49)\/8232)\/(-3*5)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*g = -0*o - 4, -16 = -o - 3*g. Suppose -o*k = 2*b - 12 - 8, 0 = -b - k + 6. Find the third derivative of -2*v**6 - v**2 + v**6 - v**b wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -412*v = -418*v + 7746. What are the prime factors of v?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -317 - -324. Calculate the greatest common factor of g and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 612 in -1.4, 0.3, -0.02, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 799*i**3*x + 327*i**3 - 1 wrt x.\nAnswer: 799*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1074, -2164, -3268, -4386, -5518, -6664?\nAnswer: -7824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -2. Let c(t) = -t**2 + 6*t. Let s be c(6). Suppose s = w*p - 5*p + 30. Solve 4*x - q + p = q, -3*q = 4*x + 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 19994, 19993, 19992, 19991?\n\"Answer: -x + 19995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29005714 and 1104.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/(-4)*24\/(-15). Solve -u - 3*k = -4, u + b*k = -u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1223.4 rounded to the nearest ten?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of -46 + (-3296)\/(-72) - (-527206)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 70907?\nAnswer: 1\/70907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 25 - ((-36)\/(-21))\/((-225)\/70 + 3). What is the greatest common factor of w and 7018?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 299 - 271. Is 29 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*w, -5*j = -w + 142 - 118 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - (1 + -8)) + 24 + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1011010011011001100 (base 2) to base 10\nAnswer: -370380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-1)*4\/(-68). Let m = -157\/20 + 38\/5. Which is the nearest to m?  (a) p  (b) -11  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -1\/4*d**4 + 1\/2*d**2 + 2*d - 2\/3*d**3 - 2. Let i(k) = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56567250629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 538917.\nAnswer: 3, 17, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 5*k**2 + 3*k + 1. Let u be n(-4). Let v = -411.21 + 408.21. Which is the biggest value?  (a) v  (b) u  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*m**2 + 70*m**2 - 40*m**2 - 18*m**2 - 243*m**3.\nAnswer: -243*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 - 55. Give j(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 3*o**2 - o + 3. Let a be r(3). Suppose -3*d - 260 = 2*q, a*q - 3 = 3*q. Let x = 171 + d. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1120 - 20?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/11*(8 + 25\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -425968920674.000005 + 425971771258. Let a = z + -2850574. Let g = 10 - a. What is g rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1566636 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u**3*x - 284699*u**3 - 33*u**2*x + u**2 - 400*u*x wrt u?\nAnswer: 6*x - 1708194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**0*x*x*x*x*(x\/x**1)\/x*x*x*x)\/(((x**(-7)*x)\/x)\/((x*x**(-1\/10)\/x)\/x*x)))**(2\/5))**(-18) assuming x is positive.\nAnswer: x**(-2322\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41\/(21\/((-546)\/26))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/6 + 782*w\/3 + 20501\/6.\nAnswer: -(w - 1577)*(w + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -86*w**4 - 130*w**2 wrt w?\nAnswer: -2064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -2*f - p, 5*f - 2*p = 17 - 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/9343405 and -61\/2260?\nAnswer: 37373620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -58, -91, -124, -157, -190?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 353012289649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 - 2*c**3 - c**3)*(-3*c**2 - c**2 + 2*c**2) + (-2*c + 3*c**5 + 2*c)*(-4 + 5 + 1) + c - c - 4*c**5.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17848 and 17848.\nAnswer: 17848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1816529343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -48024 (base 9) in base 10?\nAnswer: -32098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 609 = 2*f + 151. What are the prime factors of f?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29889?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 - 29 + 13257*r**2 - 13254*r**2 + 64.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -4. Suppose -a*h + 4*h - 8 = 0. Factor j**2 + j**3 - 6*j + 4*j + h*j + 2*j**2.\nAnswer: j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -2*c**3\/3 + 24*c**2 - 19*c. Let n be h(0). Calculate the highest common factor of n and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-6) + 2891\/15. Let k = w + -194. Let b = -0.3 - 3.7. Sort b, 3, k in increasing order.\nAnswer: b, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 199728 and 11844?\nAnswer: 65710512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + sqrt(75)*3 + 5)*3)**2.\nAnswer: 1800*sqrt(3) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 753794484.\nAnswer: -753794486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + -52274?\nAnswer: -52264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 15*w + 1. Let q be y(-18). Suppose 5*i - 125 = q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/7*p - 18\/7 - 2\/7*p**2.\nAnswer: -2*(p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 59 + 59. Find the first derivative of 225 + 33*z**4 - g - 41 wrt z.\nAnswer: 132*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 2:18 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-35)\/560*-48 - -116. Let y(c) = c**3 + 6*c**2 + 4*c - 2. Let o be y(-4). What is the highest common divisor of z and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5.5  (b) 6.5  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, h: 3, u: 3, s: 5}. What is prob of sequence su?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31197 is divided by 300?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 209*o - 4125. Calculate d(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-11\/4)*f*f\/(((f**(-7)\/f)\/f)\/f*f)*f)**37 assuming f is positive.\nAnswer: f**(1369\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*k - 13 - 18 = 0, 4*k - 4 = -4*p. Let x be (-34)\/(2\/p*-4). Let f be (-9)\/(-2) + (-6)\/(-12). Solve -2 = -f*a - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 3:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b. Let t(k) = -2*k. Let l(r) = -2*j(r) - t(r). Let q(o) be the third derivative of -o**4\/12 + 2*o**2. Calculate l(q(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 - -47. Suppose -64*w + 44 = -53*w. Solve w*n - d = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2693  (b) -27  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - -41. Suppose 4*z = p + o, 4*p - 41 = -5*z + 2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.39 + 2.3. Let c = a - 0.01. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 191\/27 + (-10)\/135\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61106 at least as big as 61132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -6*w + 27*w - 1932. Calculate the remainder when 629 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42821691 * -0.3.\nAnswer: -12846507.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*u + 39 = 0, -120*s = -126*s + u + 159. Solve -9*k + s = -36 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -740.43 to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bybbyy. Give prob of picking 1 b and 3 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 - 932*d - 2081*d + 2531*d - 7185*d - 5838*d to v*d + q*d**2 + b and give v.\nAnswer: -13505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from stkrksstskkksssstsss?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 10*q - 3. Let z be r(10). Let f = 31073 - 31064. Which is the fourth biggest value?  (a) z  (b) f  (c) -2\/17  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59968627?\nAnswer: 59968627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -47*p**7\/189 + 32*p**6\/45 + 43*p**5\/90 - 16*p**4\/9 + 4*p**3\/27 - p + 24. Find c, given that z(c) = 0.\nAnswer: -1, 0, 2\/47, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4889937716 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 37*i**3 + 0 - 9\/2*i**4 - 80*i**2 + 16*i.\nAnswer: -i*(i - 4)**2*(9*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48 - 137*z**2 + z - 45 - 50 - 4*z + 144 to the form w*z**2 + j*z + p and give w.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12550 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2*b = -1187, -4*c - b - 1581 = -8*c. Let q = c - 390. Solve 0 = -4*d - w + 6, 0*d - 3*d + 16 = -q*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, o: 5, f: 3, r: 1, y: 1, z: 2}. What is prob of picking 1 n and 1 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 106 = -4*n, -z + 159 = 2*z + 2*n. Let a(c) = c**2 + 8*c + 9. Let k = -28 + 19. Calculate the remainder when z is divided by a(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1463427 or -1463419?\nAnswer: -1463419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from {d: 2, w: 4, j: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 362 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -6*d + 3. Let p = 10 - 12. Let y be (-7)\/(-2) + p\/(-4). Suppose 4*v = -4*z, z + y*z + 3*v - 6 = 0. Determine f(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/113  (b) -3\/5  (c) -1\/8  (d) 1  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*q - 5 = -19*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 0*s = -5*s + 15 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3385582 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12.4  (b) 0  (c) 1  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-252)*36\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1217 - 237 = 387*b - 208*b - 207*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187725043 is divided by 180.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6828, -5616, -4404, -3192, -1980, -768?\n\"Answer: 1212*o - 8040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 64*w. Let z(j) = -249*j + 140. Calculate z(n(r)).\nAnswer: 249*r**2 + 15936*r + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.39160918 rounded to 4 decimal places?\nAnswer: -0.3916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -108908\/3 - -2287414\/63. Let j = -52\/9 + p. Which is smaller: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -3\/27593258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*d = -14. Suppose d*j = 17*j - 39. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.21686 - 4740.\nAnswer: -4741.21686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 534.2777l in millilitres?\nAnswer: 534277.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14c9a - -5?\nAnswer: -14c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2806 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -46?  (a) -0.5  (b) -0.13  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -21, -5, -12, -2 in decreasing order.\nAnswer: -2, -3, -5, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167534.\nAnswer: 2, 211, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 398, -2.9, -1, -2, 1, 11, 5 in ascending order.\nAnswer: -2.9, -2, -1, 1, 5, 11, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8612 divided by -4306.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6797  (b) -0.5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/3192488 and -11\/306970.\nAnswer: 15962440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.5 + -2. Let j = f + -1.5. Let y = 0.8 - 0.9. What is the second smallest value in j, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/12)\/(2\/(-18)). Suppose 3*t - 3*m = 8 + 7, 0 = j*m. Suppose 0 = -v - 4*c + 14 + 1, -3*v + 80 = t*c. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 6*(-2 + -6*(sqrt(363) + sqrt(363) + -1)))*-1)**2 + 5.\nAnswer: -42768*sqrt(3) + 1882526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12652 - 26894. What are the prime factors of 8 - w\/30 - (-4)\/5?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/3 - 349454*t\/3 - 116484.\nAnswer: -2*(t + 1)*(t + 174726)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/7*(-20)\/4650*-15?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 184 and 25208.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 13, g: 2, n: 1, x: 1}. What is prob of picking 2 q and 1 g?\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12120220 - 112?\nAnswer: -12121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1336, 5846, 13362, 23884, 37412, 53946, 73486?\n\"Answer: 1503*c**2 + c - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -0 - 5, 4*j - 3*a = 81. Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142969112 divided by -1.\nAnswer: -142969112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -25, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + i - 1)*(10 + 6 - 17)*(-i**2 - i + i - 2*i + 1) - 5*i**3 - 8*i**3 + 6*i**3 + (2*i**2 + 0*i**2 - i**2)*(-5*i + 2*i + i).\nAnswer: -8*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 6:21 PM?\nAnswer: 351","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify l**12*l*l**4*(l**8\/l)**29 assuming l is positive.\nAnswer: l**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p + 1. Let w be q(2). Suppose 2*z - 5 = -2*z + w*v, 5*v = -5*z + 15. Factor 0*i + 4\/7*i**z + 0 + 6\/7*i**3.\nAnswer: 2*i**2*(3*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 570, 1096, 1562, 1968, 2314, 2600?\n\"Answer: -30*z**2 + 616*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of 1\/3*u**4 + 5\/6*u**3 - u - 1\/20*u**5 + 3\/2*u**2 + 0. What are the prime factors of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2. Let q(c) = -c + 17. Let r be q(14). Let g(y) be the second derivative of 0*y**2 + 0 - y - 1\/6*y**r. Calculate i(g(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {b: 2, y: 3, s: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.495204 kilograms to nanograms.\nAnswer: 7495204000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 11111111010001?\nAnswer: 11111111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -160*z**2 + 143*z**2 - 97*z**2 - 189 + 4*z. Let k(x) = 113*x**2 - 3*x + 190. Let u(q) = 3*b(q) + 4*k(q). Find the first derivative of u(n) wrt n.\nAnswer: 220*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -r - 54. Let k = r - -17. Let u = k - -69. Calculate the remainder when u is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 10*k**2. Let t(c) be the first derivative of c**4\/12 + 37*c + 48. Let o(w) be the first derivative of t(w). Calculate 4*b(z) - 35*o(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 145*l + 1228. Let c be d(8). Solve 5*w + 4 = -89*f + 87*f, 0 = -c*f + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0563208 - -0.17945.\nAnswer: 0.1231292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 17254910 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -6293*x**3 + 3*x**2 + 3*x + 4. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1222*w**3 - 3297 with respect to w.\nAnswer: -3666*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-197)\/(-1 - ((-3 - -7) + -6)). Let k = h - -348. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 9, -3, 2 in decreasing order.\nAnswer: 9, 2, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -512*w. Let m(d) = -3973*d. Give h(m(k)).\nAnswer: 2034176*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5770568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(9\/3))\/((-20)\/12*1956\/(-47270)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 26 = 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109922229.\nAnswer: 3, 3457, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/26, 0, -0.1, 1 in ascending order.\nAnswer: -0.1, -1\/26, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2312363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 679867 is divided by 571.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**2 - 22. Let f(h) be the third derivative of -h**4\/8 - 59*h**2. What is y(f(d))?\nAnswer: 18*d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-39)\/v))\/v*v*v\/(v**(-2\/11)\/v)*v**(8\/5)*v**(3\/4) assuming v is positive.\nAnswer: v**(10017\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 15*a - 35. Let w be g(47). Let k = -669 + w. Solve 2*z = z - k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 5*j - 38, -2*o - 2*j = -7*o + 56. Let q be (1\/(-3))\/(4\/o). What is the nearest to q in 0.3, 0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aeeaeeeaeaeeea. What is prob of picking 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1694 divided by 3.\nAnswer: -1694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/9)\/(357844\/59640 + -6). Suppose -t - 7462 = -14*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1126, -2, 3, 11 in ascending order.\nAnswer: -1126, -2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -41*b + 251. Let v be y(5). What is the greatest common factor of 207 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (84 - 76)*(-314)\/8. Let x = z - -474. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of j**4\/2 + 3*j**2\/2 - 1. Let u(d) = -d + 0*d - 2*d**3 + d**3. Let i(m) = q(m) + 3*u(m). Find r such that i(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence swz when three letters picked without replacement from ssvwssvvsssvsvbzsd.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(242) + 0 + 2) + 4*(-1*sqrt(242) + sqrt(242))*4)**2 - (-5*((sqrt(242) + 0 + sqrt(242))*-2)**2 - ((5 + sqrt(242) + 1 - sqrt(242))*1)**2).\nAnswer: 44*sqrt(2) + 19642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6902 divided by 118.\nAnswer: -3451\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 657 - -225. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 65 = -85. Let l(c) = -75*c**2 + 21*c - 21. Let y(o) = -15*o**2 + 4*o - 4. Determine d*l(j) - 21*y(j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -11, 0.3, 3.38, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/14 - (1 + 17\/6). Suppose 18 = -3*s + 6. Does s = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x + 558 - 460 = -0*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7029+0.04936\nAnswer: 7029.04936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w. Let a(o) = o**2 + 3*o - 3. Let z = -28 - -23. Let p be a(z). Let k(i) = -23 + 2*i - 27 + 9 + p. Determine k(l(h)).\nAnswer: -2*h - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 - 4*k + 4. Let c be 1\/(-3)*-21 - 2. Calculate the remainder when y(c) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**(4\/13))**(-2\/61)\/((w\/w**(-1))**(1\/15)*w**0*w**(-6)*w) assuming w is positive.\nAnswer: w**(57769\/11895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52.1 + 47. Let q = -0.1 - z. Which is the biggest value?  (a) -0.5  (b) q  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 215775\nAnswer: -4\/215775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.0521  (b) 1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4550 and 728?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**5 - 4004154*n**4 + 12012408*n**3 + 36037290*n**2 + 20020725*n = 0. What is n?\nAnswer: -1, 0, 5, 1334715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-25552)\/312 - (-216)\/(-2106)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25\/6)\/(-5)*(-36)\/40.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 131724266 to the nearest integer?\nAnswer: 11477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361184 is divided by 385?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.136 rounded to two decimal places?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 1:29 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/13*(-17 + -9). Let 3*z**5 - 45*z - 54 + 17*z**3 + 62*z**2 + 4*z**2 + z**3 + 19*z**2 - 37*z**2 - 18*z**a = 0. What is z?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-175)\/(-200)*-8)\/((-5)\/(5\/2)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*x + 3)*(0*x - x**2 + 0*x) - 588*x**3 + 18345 - 18345.\nAnswer: -590*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013008 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-5) - 6\/(-15))*4. What is the highest common factor of 20 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46159390\/388 - 2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d - 14*d - 119 = 15*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + y = 16, -20*y = -3*f - 15*y + 28 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/5 - 4353*n**2\/5 - 21786*n\/5 - 17432\/5.\nAnswer: (n - 4358)*(n + 1)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 2*a**7\/21 - 17*a**5\/10 + 3035*a**3\/6 - 164*a + 11. What is the second derivative of x(v) wrt v?\nAnswer: 80*v**3 - 204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**2 - 1512*o + 606*o + 392*o to the form k*o**2 + h + s*o and give s.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1533553242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1531, -5295, -9059, -12823, -16587?\n\"Answer: -3764*o + 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 0  (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*j**3 + 30*j + 194*j**3 - 30*j.\nAnswer: 282*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -57b8 (base 16) to base 9\nAnswer: -33721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 63.613462 to the nearest integer.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8476577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -25373 - 246?\nAnswer: -25609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -35. Let o be (-930)\/(-20)*(-4)\/m + -2. Solve -g + 6*g = 2*i + o, 3*i = -3*g + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.2  (b) 12  (c) -2\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 23*r**2 + 15*r + 45. Let v be c(20). Let z = v + -2615. What is z rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2. Let j(q) = -1194293953*q. Determine u(j(h)).\nAnswer: 1426338046172366209*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-8)\/(-4))\/(-2) + 17. Let u be (l\/(-6))\/((-4)\/138). Suppose -7*a = -3*a - u. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**5 + 17*b**5 + 4*b**5 + (3*b**2 + 0*b**2 - 4*b**2)*(3*b**3 - 3*b**3 - b**3) + (-b**3 + b**3 - 2*b**3)*(7*b**2 - 3*b**2 - 2*b**2) - b**5 + 3*b - 3*b.\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from {c: 3, w: 2, n: 9, l: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**4\/4 + 16*b**3\/3 - 19*b**2\/2 - 25*b + 6. What is the units digit of w(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1054 + 1793. Let x = h + 112. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15797 = -512*s + 4021 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*s + 28 = -40*s. What is the remainder when 44 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**5 + 524*v**4 - 45932*v**3 + 1361376*v**2 - 1226178*v - 2634012 = 0?\nAnswer: -1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 554 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4*u + 3*u + 63, 0 = -5*s - 4*u + 316. Suppose 63*n = s*n + 2*t - 228, -4*t - 1182 = -5*n. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.23796 + -0.21796. Let n = -0.02 + 6.62. Is n at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.6, 2, 2\/7, -2 in descending order.\nAnswer: 2, 0.6, 2\/7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -243610 rounded to the nearest 1000?\nAnswer: -244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2697*b - 8*y - 129 = -2700*b, 2*b + 5*y = -69 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 2*w = -35, -10976*w + 176 = 4*m - 10977*w for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -5, -24.91 in descending order.\nAnswer: 28, -5, -24.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 461556 is divided by 510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(95) - -2*sqrt(95)) + sqrt(95)))\/(sqrt(5)*-2*2) + (-1*sqrt(171))\/sqrt(9) + 0 + 1.\nAnswer: -3*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of -3*l - 21\/2*l**2 + 1\/60*l**5 - 1\/2*l**4 + 0 + 5\/3*l**3. Let d(c) be the first derivative of k(c). What is d(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101010022 (base 3) to base 7.\nAnswer: 30341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 2) + (-12 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-38)\/76*(1 - (0 - -101)). Sort 10, 1, 0, k in decreasing order.\nAnswer: k, 10, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 - 3)*(31*h - 17*h + 21*h)*(17 + 12*h + 4 - 20 + (h + 2 - 2)*(-4 + 2 + 4)) in the form y*h**2 + k + f*h and give y.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**2 + 46*f**3 - 12*f**3 + 4*f**2 - 11*f**3 - 23*f**3 - 16*f**3.\nAnswer: -16*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 4*m = 5*s + 18, 0 = -5*s + 3*m + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 64 (base 8) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3931542023 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12494, -14070, -15656, -17258, -18882, -20534, -22220?\nAnswer: -23946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 8 = -o. Let k = 12 + o. Solve 0 = v + k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -5, 32 in increasing order.\nAnswer: -5, -1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 10, f: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/(-3)*145524\/8 + (-14)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**4 - 715*k**3 - 4327*k**2 + 715*k + 4326 = 0. Calculate k.\nAnswer: -6, -1, 1, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 93185?\nAnswer: 93183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*i**2*k**3*u**3 + 30*i**2*k**2 + i**2*k*u + i*u**3 - 227*k*u + 2*u**3 wrt k?\nAnswer: 36*i**2*k*u**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/6 + (146440\/(-7608) - -20). Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(19) + (sqrt(95) + sqrt(95)*1)\/sqrt(5))*-3 - ((sqrt(19) - (sqrt(304)\/sqrt(8))\/sqrt(2)) + -4*(sqrt(38)\/sqrt(2))**2).\nAnswer: -9*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 1 = -4*r. Let a be 0 - (3 - (-2)\/r). Let q = a - -18. 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 the value of (672\/60 - 11)*(1 - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-94 + 21 + 40)*(-1 + 1 - 2)*(8 - 9*l - 8) to the form d*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/4, 0.5, 3, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**2*q**4 - 2*b**2*q - 7*b*q + 2*b - 1665*q**4 wrt q.\nAnswer: 24*b**2*q**2 - 19980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*d**2*k**3 - 25*d**2*k**2 + d**2*k + d*k**3 wrt k?\nAnswer: 126*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*i = -64*i + 6040. Let o = 760 + i. Solve 2*z - 2*t - 5 = t, -o*z + 3 = 2*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 6*c**2 - c + 60. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {b: 1, v: 1, h: 1, q: 1, l: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11010100001010011110011 (base 2) to base 14.\nAnswer: ccd843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-54)\/(-75)*1120\/3024.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*(-70)\/120)\/(2\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**8\/c**0)\/(c**(-2\/3))**(-4\/11)*(c**(2\/3))**(-1\/49)*c\/c**(-9)*c*c*c*c\/((c*c**(1\/7))\/c)*c assuming c is positive.\nAnswer: c**(12182\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -58 by -1411.\nAnswer: 58\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -102962211\nAnswer: 4\/102962211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 7*f + 1. Let k(x) be the first derivative of -x**2\/2 - 12*x + 4. Let g be k(-6). Let v be t(g). Let r(c) = c**2 - 6*c - 9. Give r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 - -0.1. Let b = 10.231 + -10.531. Is w greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30813 is divided by 15346?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46 and 408323761?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k - 2. Let v(a) = a - 4. Suppose -11*g + 20 = -16*g. Let s(b) = b - 5. Let f(t) = g*v(t) + 3*s(t). What is 5*f(m) + 2*o(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*q = 2*u, 2*q + 10 = u. Suppose -r = 3*r + 16, 2*z - 92 = 3*r. What is the remainder when 0 - -2 - 464\/q is divided by z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27596 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: Expand (-3*t - t + 2*t)*(-6 + 0 + 4)*(-1 - 2 - 13)*(-2 + 0 + 1).\nAnswer: 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11866454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -116360.19 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m**2 + 3*m**2 + m**2)*(-6*m + 3*m + 2*m) + (m + 2*m - 2*m)*(m**2 + 3*m**2 - m**2) to u*m + z*m**3 + h + a*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-22)\/(-55) + (-3346)\/(-10) is divided by 87.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30*(-65)\/(-39)*(-2)\/10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 336 = 23*v. Let x = 29 + 26. Calculate the remainder when x is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 62 - 61. Find the first derivative of -21*v + 11 - n + 0*v wrt v.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - c + 7. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(104))\/sqrt(8) + sqrt(104)\/(sqrt(72) - sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-2)\/((2\/4)\/(55\/(-10)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 182109156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h - 15*h = -2. Suppose h*a + 4 = -c, -c + 7*a = 5*a + 4. Let p be c - 4*(-3)\/3. Solve p = -5*t - 5*m + 30, t + 4*m - m = 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 877 = 5*p + 3*x - 2*x, -692 = -4*p - 4*x. Calculate the highest common factor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 204 = -4. Solve 3*r = -2*r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 18680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*z**3 + z - 14*z**3 - 5*z)*(2 - 2*z - 2) + (2*z**3 - z**3 + 0*z**3)*(-3*z + 4*z - 2*z) - 3 - 2*z**4 + 3.\nAnswer: -11*z**4 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 4335674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fiifccfc. What is prob of picking 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lvhdmmh. Give prob of sequence vhmh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - 268*k - 419*k)*(1 + 0 + 1) + 2*k - k + k.\nAnswer: -1376*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 21415604, 21415598, 21415592?\n\"Answer: -6*w + 21415610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s\/s**(-1\/2))**(8\/13))**(-41)*((s\/s**(-2\/3))\/s)**(-23\/5)*s**(3\/7)\/s**(1\/2) assuming s is positive.\nAnswer: s**(-318527\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22673850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 222\/295 - 9\/59. Factor 0 + 0*u**2 - 3\/5*u**4 + j*u**3 + 0*u.\nAnswer: -3*u**3*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**4\/2 + j**2\/2 - 4*j + 44. Let a(p) = 4*p**3 + 2*p - 9. Give 3*a(q) - 7*d(q).\nAnswer: -2*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6 + 12\/(-4) + -27. Let h be (s\/10)\/((-120)\/11600). Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 10:34 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 292306 + -1963287.\nAnswer: -1670981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3692 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 21*s**2 - 129*s - 2. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(19) + 0 + sqrt(19)) + sqrt(19) - (sqrt(1216) + 0 + sqrt(1216))) + (-1 + sqrt(19) + 1)*5 + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 1 + 4)*(-4 + 1 + 1) - 4 + 5 + 0 + 2 - 3 - 1)*(5 + 196*c - 3995*c - 5 + 238*c) to the form s*c + k and give s.\nAnswer: 17805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -114\/17  (b) -55  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*z - 6*z = -2199, -15 = -5*z. Suppose i + 2*i = -4*m + 724, -4*m + r = 5*i. List the prime factors of m.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 2*i - 2412. Let p = i + 984. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c + 68 - 98. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k**7*k)*k*k*(k*(k**(-2\/5)*k)\/k)\/k assuming k is positive.\nAnswer: k**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 5*a + 5. Let p = a + 8. What is the third derivative of 4*g**2 - p*g**2 + 3*g**5 + g**2 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 9*g**2 - g. Let b be p(5). Let j be 8\/(2\/(-3) + (-128)\/(-120)). Suppose 22*u - j*u = 40. What is the highest common factor of u and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4\/5, -13, 1\/4, 0.3, -286 in decreasing order.\nAnswer: 0.3, 1\/4, -4\/5, -2, -13, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 21977401 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -201468 divided by -3?\nAnswer: 67156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {p: 2, x: 2, h: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 15*h - 11*h**2 + 17*h**2 - 40 - 5*h**2. Does 14 divide f(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16495400 divided by 8247700\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15954642 and 1782?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 4*q - 13 - 3 = 0, -5*k = -q - 21. Suppose 4*g + 0*c + c - k = 0, -5*g + 5 = -2*c. Solve 3*p - 3 = -0, 3*d - 4*p = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-4) + (60\/(-8))\/(-5). What is the second smallest value in -33\/7, 1\/8, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/21)\/(1\/(-6)). Let w be h\/3 - (-20999986)\/(-21). Round w to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/7 in 0.069, 0.18, -0.5, 1\/4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -10.2. Which is the second biggest value?  (a) 2  (b) j  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000395 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15249 or 15289?\nAnswer: 15249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6335669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 19 + 1 + 3*c - 35 - 45. Suppose -4*r + 76 = t, -3*r - t - 24 = -4*r. Let k be o(r). Solve 4*z - 2*x - 11 = -z, 4*z - 4*x - 16 = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 13*c**2 + c. Suppose 3*b - 48 - 96 = 0. Suppose b = n + 26. Calculate the remainder when n is divided by k(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -30, -66, -106, -144?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, w: 2, e: 4, i: 8}. What is prob of picking 1 w and 2 e?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54*u**3 - 4*u**4 + 3*u**4 - u - 2*u**2 + 10*u**3 to the form v + c*u + m*u**4 + x*u**3 + s*u**2 and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 12:09 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (829 - 792)*(-4)\/(-13764)?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18067 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4753 - -4948. What is the least common multiple of 18 and q?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 0.1, -0.04, 5\/23?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*b + 20*b - 474. Let n = 48 - b. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9603 divided by -97?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 61 = 4*j + 2*p - 15, -9*p - 232 = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 0.213.\nAnswer: -0.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-77)\/385)\/(3*(-4)\/60) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4\/f**7)**(-34) assuming f is positive.\nAnswer: f**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = m - 597*i + 602*i, 35 = 5*m - 5*i. Let d(v) be the first derivative of -1\/2*v**m + 2*v + 16. Give d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 15 = 7*m. Suppose -3*i + m*q - 4*q + 9681 = 0, 12908 = 4*i + q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*sqrt(104) - 3*(sqrt(104) + sqrt(104)*-3))\/((sqrt(512) + ((sqrt(512) - -1*sqrt(512)) + sqrt(512) - sqrt(512)))*-6*-6).\nAnswer: sqrt(13)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212813 (base 9) to base 5.\nAnswer: 13024102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 9384 = 4*w, 72*u = w + 68*u - 2333. What is the highest common factor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 248?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 + 51. Let w(v) = 4*v**2 - 6*v + 14. Let z be w(y). Suppose -4*o = -z - 182. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14261622 divided by -3?\nAnswer: 4753874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 3*f - 10, -3*a + 6 = -0*f - 3*f. Suppose 5*s = a*s - 15. Let y(l) = -l**3 - 2*l**2 + 8*l + 6. What are the prime factors of y(s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 9, -5, -2, 5, 4, 31.\nAnswer: -43, -5, -2, 4, 5, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -855 by -168446.\nAnswer: 855\/168446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - w**2 + 0 + 4*w**5 + (3 + 2*w - 3)*(-4*w**4 + 4*w**4 - w**4) - w**5 + 0 + 0 - 2*w**5 + 0*w**2 + 0*w**2 + 2*w**5 + 2*w**5 - 2*w**5.\nAnswer: w**5 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/27)*i**(-5)\/i*(i*i**(2\/5)\/i)**(-2\/25) assuming i is positive.\nAnswer: i**(-20108\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10560 rounded to the nearest one hundred?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**2 - 1 + 1)*(-14*r + 828*r + 176*r) + 9*r**3 + 9*r**3 - 25*r**3 to k*r**2 + d + z*r**3 + c*r and give z.\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 92279014673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51411514 (base 7) to base 10.\nAnswer: 4305592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 2072?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppmpmmpppppmmp?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-4))\/(251\/(-4016)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y**2 + 0*y - 13*y**2 - 2*y**3 + 24*y**2 + 4*y = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -15*b + 8. Let k be i(-3). Let g(f) = k + 2*f - f - 55. What is g(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1435332.275 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1389 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*c + 11*c**2 - 2*c**2 + 7*c.\nAnswer: 9*c**2 - 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68460, -68190, -67920?\nAnswer: -67650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 11104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.326 minus 1695?\nAnswer: -1655.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (32\/(-20))\/(2 + (-528)\/260) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 219\/(-30) + ((-102)\/20)\/(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2497, -2499, -2501, -2503, -2505, -2507?\n\"Answer: -2*g - 2495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 (base 13) in base 15?\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - ((-16 - -1) + 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-58 - -26) + 40 - 30?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -49, -2, 8, -84, -4, 3 in descending order.\nAnswer: 8, 3, -2, -3, -4, -49, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**5\/11 + 36*r**4\/11 - 116*r**3\/11 - 192*r**2\/11 + 118*r\/11 + 156\/11 = 0. What is r?\nAnswer: -1, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 15, 368339, 5?\nAnswer: 368339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5481975 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (4 - 3) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4760*o + 4. Let m(i) = -1611*i**2 - 2*i. Give l(m(h)).\nAnswer: 7668360*h**2 + 9520*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2681 - 1258. What are the prime factors of o?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2878, 2880, 2882, 2884, 2886?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/1*(45\/9)\/60\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = o + 161, -9*v + 156 = -o - 11*v. Let h = -167 - o. What is the smallest value in 0, h, 8\/11, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/19, 230, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4713, -4711, -4709, -4707?\n\"Answer: 2*i - 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 136 divided by 55\nAnswer: 136\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 less than 0.593?\nAnswer: -25.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 323190 and 25110?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 + 15 = 4*z. Let t be (-6)\/2 - 72\/(-6). Let a(o) = -5 + 6*o - o**3 - t*o - 7*o**2 - 4*o. Give a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 19 = -5*r, 140*q - 142*q = -3*r - 11. Sort 0, -510, r in descending order.\nAnswer: 0, r, -510","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjgjgj. Give prob of sequence jg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121 - -10133231?\nAnswer: 10133110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.44 + -762.44. Let k = 762.627 + m. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 143 + -143.099. Let l = -24.901 + n. Let x(f) = f. Let z be x(0). Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + ((sqrt(637) - (3 + sqrt(637))*-5)**2 - sqrt(637)) + sqrt(637)) + -3.\nAnswer: -69459 - 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + 5*s**2 + 5*s - 1. Give y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**2 + o**2 - 3*o**2 + (-o + 0*o - o)*(-o - 3*o + 6*o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000100101101001100111 + 1110101?\nAnswer: -11000100101100111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 242 (base 9) to base 7.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2 + 8*i + 3 + 0. Suppose 23 = -18*j + 8 - 21. Calculate p(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 9*l**2 + 12*l - 9*l + l**2 + 4*l - 4. Let w(n) = -5*n**2 - 4*n + 2. Calculate 4*r(s) + 7*w(s).\nAnswer: 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 2*d + 157, 0 = 2*p + 2*d - 149 + 43. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -0.14698\nAnswer: -0.0058792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 1, 2, 18 in ascending order.\nAnswer: -2, 1, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**2*s**3 - 3*a**2 + 243964*a*s**2 - 31*s**3 - 86333 wrt a.\nAnswer: -2*a*s**3 - 6*a + 243964*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-2 - (29 + -31)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - 1 - (2 - 5). Let p = 8 - w. Suppose z + 1 = p. What is the greatest common divisor of z and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*(-6)\/(-4)*(40\/735)\/(-2). Sort 0, -6\/7, -5, 2\/11, a.\nAnswer: -5, -6\/7, 0, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 10461, -6 in decreasing order.\nAnswer: 10461, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2. Let j(z) be the first derivative of -11*z**4\/24 - 3*z**2\/2 + 2. Let f(q) be the second derivative of j(q). Calculate f(w(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/400 and -64\/1025275.\nAnswer: 16404400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**2\/2 + 5*t - 6. Let k be p(-6). Does 6 divide (k\/3)\/(9\/(-405))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 665 divide 411635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44 - -96. Suppose d - 70*c = -68*c, -4*d = -c. Let l be (55 + -6 - -2)\/(1 + d). Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 7*t**2 + t - 2. Suppose -138*w = -133*w - 10. Suppose -2*b - o + 13 = -0*o, -9 = -b + w*o. Calculate p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5241899 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2402*c + 3003*c - 23351*c - 5961*c.\nAnswer: -28711*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/4, -5, -89, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34317 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25713.647456385 + 0.\nAnswer: -25713.647456385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -68307*k. Let b(v) = -25*v. Give l(b(c)).\nAnswer: 1707675*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-16)*-2)\/((-9)\/(-24)) - -6. Let i(o) be the first derivative of -8*o + 0*o**r - 19\/4*o**4 + 0*o**3 - 1. What is the derivative of i(m) wrt m?\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636391 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: -58 times 2.6\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*d + 3*d + 14*d)*(2 - 30 + 234) as u + h*d and give h.\nAnswer: 2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41794 - -41866. Let v(h) = 3*h**2 - 9*h. Let w be v(6). Calculate the greatest common factor of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 208331508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78 and 814.\nAnswer: 31746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 598*x**3 + 582*x**3 - 1181*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*w + 16 = -0*w, 4 = 2*w. Let k(p) = 2*p - p + 3 - 4. Give k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 0 + 0 + 1058*a - 1055*a + 2 + a**2. Let w(g) = -5 - 2 - 7*g - 2*g**2 + 3. Let n = -28 - -19. Give n*i(s) - 4*w(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70661522 - -3?\nAnswer: 70661525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11141 (base 11) to base 2.\nAnswer: -11111100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 + -2 - 3) + 12. Suppose 0*q + 2460 = v*q. Calculate the remainder when q is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*r**2\/3 + r\/3 = 0 for r.\nAnswer: 0, 1\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*z + 44 = -236, 3*z = l - 70. Let s(u) = 66*u + 3*u**3 - 4*u**3 - 4 + l*u - 137*u + 5*u**2. Let q be (10\/6)\/(2\/6). What is s(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u**(-9\/2)\/u)))\/u**(3\/28))**(-2\/55) assuming u is positive.\nAnswer: u**(157\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -12, 0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 5*k + 0*k - 763 = 0, 759 = z + 3*k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/7))**(-32) assuming f is positive.\nAnswer: f**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2234557.\nAnswer: 13, 171889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37099*l**2 + 4123*l**2 + 33*l - 33*l.\nAnswer: 41222*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 121 = 5*w - 3*b - 26, -2*w + 2*b = 36 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) -2\/9  (b) -5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 105724279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*p = 3*r - 24, 2*r + 4*p = 0. Let a = 675 - 651. Calculate the greatest common divisor of a and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -637252570 by 10.\nAnswer: -63725257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 4*s**4 - 164*s**3 - 4*s**2 + 164*s = 0.\nAnswer: -1, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -142, -274, -394, -496, -574, -622, -634?\n\"Answer: r**3 - 139*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80453502 and 29358.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w + 4*w + 8*w in the form i*w + y and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-22093 - -22027) + (-1 - -207)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a + 495. Let j(d) = -6*d - 1485. What is -3*j(f) - 8*n(f)?\nAnswer: 2*f + 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**2 - 1 + 6*t**2 + 8*t**2 - 11*t**2.\nAnswer: 5*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7a26 - -1?\nAnswer: 7a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 8*c**2 + 4*c + 0*c**3 + 1 + 5*c**3 + 0*c**3 - 4*c**3. Let k be (3\/(-4))\/(2\/16). Is d(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2947383493?\nAnswer: 19, 3671, 42257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b - 30. Give d(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xbebcbobmcxbmbxxx. Give prob of picking 1 o and 1 x.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 1\/8*o**4 + 0*o - 201 - 5*o**2 - 4\/3*o**3. Factor u(j).\nAnswer: j*(j - 10)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86\/379 - 44215\/27288. Calculate the common denominator of 655\/540 + 3\/(-54) and w.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = -3*m - 44 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/((-1134)\/316)*525\/(-50).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*n + 21. Suppose 4*v - 20 = 5*c, n*c - 2*c = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 308416.1 minutes to seconds.\nAnswer: 18504966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 5*x - 4 + 11 = 0, 3*v - 1 = 4*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 322 - 67. Let r(x) = x**3 - 8*x**2 + 8*x - 2. Let z be r(6). Let u = z + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c**3 + c**2 - c - 6. Let s(r) = -8*r**3 - 2*r**2 + 2*r + 13. Calculate -7*i(v) - 3*s(v).\nAnswer: -4*v**3 - v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 61974 + 4?\nAnswer: 61978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6208*o**3 + 5*o**2 + 381*o?\nAnswer: -37248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*i - 84 = -0*x, 3*i - 197 = -5*x. Let u(a) = -3*a**2 + 3*a - 940. Let j be u(0). Is j\/(-6) - x\/60 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -180 - -182. Let o(m) = -3*m**g + 0*m**2 + m**3 - 2*m + m**2 + m. What is o(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 9*b**2 + 3*b + 3. Let y(s) = 3*s**2 + s + 1. Let f(m) = 6*r(m) - 17*y(m). Calculate the remainder when 31 is divided by f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - (-9)\/(-1272))*-1. Let f = -775\/49608 + d. Let r = -346\/585 + f. What is the smallest value in 2, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-4 + 3*6*1*((sqrt(576) - 3*sqrt(576)) + sqrt(576))\/sqrt(12)*1))**2.\nAnswer: 576*sqrt(3) + 15568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*(k\/(k**(-6)*k)*k)\/k*k**4)**(-13))**(1\/51) assuming k is positive.\nAnswer: k**(-52\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 10*p**2 - 7)*(0 + 0 - 3*p**2).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3301 - j + 15*j - 3*j - 2*j + 6*j.\nAnswer: 15*j - 3301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5290.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32976317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1537160 - -2?\nAnswer: -1537156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12862 + 25156. Is 120 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -332*k + 898 - 896 - 1131*k to the form n + h*k and give h.\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 88?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -477, -1649, -3945, -7743, -13421, -21357?\nAnswer: -31929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 + y - 21. Let x be t(0). Let q = 41 + x. Solve -4*m - m - q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**3\/4 + 21*k**2\/4 - 45*k\/4 + 27\/4 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = z - 15, -3*u + 10 = 2*z - 4*u. What is the third derivative of 10*b**2 + 10*b**2 + b**z - 2*b**2 + 16*b**3 wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 725 + -1390. Let w = -344 - x. List the prime factors of w.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -116, -223, 5, -152 in descending order.\nAnswer: 5, 1, -116, -152, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 3 = -0, -u - 4 = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07 and 0.175.\nAnswer: -0.01225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3740 divided by 44\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283 = -42*r + 53. Solve -4*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 - 44. Suppose 15 = 4*g - 7*g, c = -5*z + 3*g - 359985. What is z rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 13*t**2 + 6*t - 13. Let u = 3 - 15. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-5) - (2 - 29\/5). Suppose 3*x = j*b - b + 148, -5*x = -b - 256. Calculate the remainder when x is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 798 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*m - 29 = -14*m + 55 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*d**2 - 4*d + 9*d**2 - 33*d**2 + (2 - d - 2 + (2*d + 0*d + 0*d)*(4 - 1 - 4) + 24*d + 14*d - 12*d)*(2*d + 2*d - 2*d).\nAnswer: 29*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -5*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of -q**3\/6 - 2*q**2 - 2*q. Let l(v) = -6*v**2 + 1. Let a be l(1). What is m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 58628878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/20)\/((-8)\/(-30)). What is the third biggest value in i, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8.8 and 1.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*m + 25, 4*i + 8*m = 3*m + 32. Suppose 2*k - i*u = -13, -5*u + 21 = -k - 2*k. Which is the nearest to 0.1?  (a) 0.01  (b) k  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 69503.6 and -1?\nAnswer: -69503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 2*d - 8, 0 = -16*l + 14*l - 2*d - 10 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1026.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -0*d + 9. Let b be (-60)\/(-2)*(-66)\/d. What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 696 and 1914?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -29*a**2*l**2 + 61*a**2 - a*l**2 - 4*a + 2*l**2 wrt l?\nAnswer: -58*a**2*l - 2*a*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/(-30) + 1326\/10. Let q = 193 - v. Calculate the lowest common multiple of q and 54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20214030 (base 5) to base 7\nAnswer: 1251041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 62860, 30765, -1316, -33377, -65412, -97415, -129380?\n\"Answer: m**3 + m**2 - 32105*m + 94963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3224 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 286 = -t, 2*t = -4*b - 2*t + 392. Suppose 0 = 4*n - n - b. Calculate the greatest common divisor of n and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22255559 is divided by 9787.\nAnswer: 9708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.21 - -143.79. Let g = 144.00000153 - r. What is g rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1132 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -1, 3\/14, 6\/59, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 1 = 2*q - 7, -3*q = -4*l + 11. Let t be ((-6)\/5)\/(l\/(-5)). Solve 6 = 2*s - 5*r + 2*r, -r + t = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*c*r*s*w + 2*c*r*s + 15*c*s*w + c*s - 4*r*s*w + r*s + s*w - 2*s wrt w.\nAnswer: -2*c*r*s + 15*c*s - 4*r*s + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n + 4. Let c be z(11). Calculate the greatest common divisor of c and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -22, -5, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f - 1. Let a = -1 - -3. Give t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 647357.1 to the nearest 10000.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1485 and ((-1824)\/11880)\/(-38)*(-102)\/(-4).\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -5*x - 324. Let r = -101 - x. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 11*l**2 + 11*l - 4. Give y(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 217*w - 201*w + 64 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -965 divided by -10\nAnswer: 193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 2*d**2 - 4*d + 1. Let c be f(-3). Solve -c*m = -3*z - z - 16, 2*m = -3*z - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**5\/7 + 57*j**4\/7 - 303*j**3\/7 + 663*j**2\/7 - 90*j + 216\/7 = 0?\nAnswer: 1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 11*i + 3. Is s(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1300) + 2 + -2)**2 + -1.\nAnswer: -20*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2 - 2*i + i**3 - 3*i**3 + 0*i**3. Let l(b) = 2*b**3 + 3*b - 3. Let n = -107667 + 107670. Determine n*l(k) + 4*a(k).\nAnswer: -2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 752\/56 - (-8)\/14. Suppose 0 = -5*h + l + 63, 3*l - 8 = -2*h + 7. Solve 0 = a - h + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15312 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 9 - 1) + (-17 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 5153 = -207. Suppose 0*c + 5*c + 3*j - 1673 = 0, 2*j - i = -2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 12*v - 11. Determine m(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 12. Let i = -593 + 593.4. Suppose -h - 2*h - 3 = 0. Which is the third smallest value?  (a) h  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 777.990854 rounded to 1 dp?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 10:33 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - 0) + (67 - 66)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 0.7, 3 in ascending order.\nAnswer: 0.7, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -654 + 1218. Let s = -203 + a. Suppose 4*h - s - 39 = 0. What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 3 - 1)*(6*i**4 - 3*i**4 - i**4) + i**3 - i**3 - 2*i**4 + 18*i**4 - 109 + 109 + (-1 + 1 - 2*i)*(4*i**3 - 5*i**3 + 2*i**3).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -322383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1571281055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5\/5 - 11*l**4\/5 + 4*l**3 + 44*l**2\/5 - 96*l\/5 = 0.\nAnswer: -2, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003095 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1524, 3050, 4578, 6108, 7640, 9174, 10710?\n\"Answer: x**2 + 1523*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -924880*j**2*k**5 - j**2*k - 102*j**2 - 3*j*k + 111*k wrt k?\nAnswer: -18497600*j**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -961, -374 in ascending order.\nAnswer: -961, -374, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 4687 + 181*l - 9370 + 4681 + (1 + 1 - 1)*(6*l - 4*l + l)*(1 + 2 - 2) as k*l + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 17*b**3 + 88*b**2 - 56*b - 42. Give z(-6).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001461898 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 8:49 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 3*t + 165 = 0. Let 124 - t*s**2 - 18*s - s**2 - 136 - 10*s = 0. Calculate s.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*x**3 + 121*x + 29*x**3 + 13*x**2 - 26*x**4 - 119*x + 23*x**4 + 2 - 15*x**3 as l*x**4 + r*x**2 + i*x + w*x**3 + g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000726 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -5*j**3 + 3. Let q(l) be the third derivative of -l**6\/20 + 2*l**3\/3 + 2*l**2 - l. What is -3*q(p) + 4*v(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 26 = 4*v + 5, 4*v - 20 = 0. Let w(t) = -t + 6. Let o be w(6). Suppose n - 4 + i = o. Calculate the highest common factor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y + 41*y = -17*y + 1499853. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.97968 microseconds in seconds?\nAnswer: 0.00001497968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -3519\/12856 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 4:10 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {m: 5, v: 2, z: 3, k: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 3 - -4 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 25*p + 24*p - 40*p to the form o + y*p and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/3 + 17374*g\/3 + 75463969\/3 = 0. Calculate g.\nAnswer: -8687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 5*c - 4*c + (2 + c - 2)*(-3 + 0 + 1) + 5*c - 13*c + 18*c)*((-3*c**2 - c**2 + 2*c**2)*(c**2 + 3*c**2 - 3*c**2) + 12*c**4 - 23*c**4 + 10*c**4).\nAnswer: -21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -19 + 5*h + h - 15*h + 7*h. Let p be u(-12). Suppose -5*x = -v + p*v - 12, 0 = -x. Solve v*j = -8 - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 7:07 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -178 - -177. Let q be (-14)\/(-4) - (1 - j). Determine k so that 0 + 3\/4*k**3 + 3\/4*k + q*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -91 - -905. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 3*j - 3. Let y(b) = b - 11. Let c be y(6). Let x = -13 - c. Let h be 30\/x + 3\/(-12). Determine i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of u**6\/120 + u**5\/5 - u**4\/12 - 10*u**3\/3 + u**2 + 10*u. Let g be o(-12). Solve -g*y + 2*k = -3*k - 45, -3*k + 5 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.014 times -0.0595799\nAnswer: 0.0008341186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrruruuurrruu. What is prob of sequence ruur?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13\/44 - -6\/11. What is the third biggest value in 0.3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 7972, 64642, 218478, 518062, 1011976, 1748802, 2777122, 4145518?\n\"Answer: 8097*t**3 + t**2 - 12*t - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -0.2  (b) 1\/7  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.124312215 to two dps.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -5*o**2 + 7100*o - 2520500 = 0.\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-40 - -17 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4 + 0.1. Let g be 4*(-1)\/124*-2. Suppose -44*x = -9*x + 175. Which is the closest to g?  (a) x  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 5 = 3. Let m be -2 - 1\/((-2)\/h). Let b be 0 + 3 + m\/4. Solve 2*s + b*s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 23211 - 1?\nAnswer: 23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28818.89 - -28819. Let z be 4\/18*3 - 2. Which is the closest to p?  (a) z  (b) -0.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 1.01?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -242664616 - -857743.\nAnswer: -241806873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 30 = 2*a. Let w(p) = -p. Let h(n) = -2*n - 4*n - 2*n**2 + 1 + 0*n. Let z(y) = 3*y**2 - 71*y - 465. Let i be z(29). Give a*w(u) + i*h(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 3  (b) 4\/9  (c) -3  (d) -854  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1300) + -2)*2.\nAnswer: -120*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 33. Let f(z) = z**3 - 11*z**2 + 9*z + 1. Let u be f(10). Let w = u + g. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -952, -1902, -2852, -3802, -4752, -5702?\nAnswer: -6652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, i: 2, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*m**3 - 7*m**2 + 16*m**2 + 10*m**2 wrt m.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -5*b**3\/6 - 4*b**2 - b. Suppose 2*v - 15 = 7*v + 5*w, -27 = 2*v - 5*w. What is the smallest common multiple of m(v) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -10355*c + 62124. Give z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*m*v**3*z + 4*m*v**3 + 3*m*v*z**2 - 2*m*z**3 + 682*v**3*z**3 + v**3 wrt z?\nAnswer: -12*m + 4092*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33565271*m**3 - 136166*m - 24 wrt m.\nAnswer: -201391626*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of g**4\/6 - 2*g**2. Does 16 divide o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*1\/(6\/24)*(-605)\/121.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.92 + -1.7. Let u = c + -13.22. Which is greater: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3993089809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.6 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + y, 3*c + 10 = 3*y + 28. Let l(t) = t**2 + t + 2. Let k(p) = -2*p**2 - p - 4. What is c*k(o) + 5*l(o)?\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 909319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 225457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 2*v - 1. Let d(x) = 4*x**3 + 9*x**2 - 26*x + 14. Let a(y) = -d(y) - 5*k(y). Let q be a(7). Solve 0*n = 2*n - 4*i + 2, 5*n + q = -2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 215 - 211. Which is the second smallest value?  (a) l  (b) 3  (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 12 - 4*h + 169*h - 509*h + 170*h. List the prime factors of u(-1).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 644*q + 8368. What is u(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*5)\/((-7)\/((-84)\/24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - 931b?\nAnswer: -9318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000010100110100 (base 2) in base 12?\nAnswer: 17898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + n + 4*n)*((-3 + 0 + 5)*(-n - n - 10*n) + 2*n - 6*n + 3*n + 0*n - 4*n - 2*n) in the form l*n**2 + i*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (25 - 13)) + (-6 - -21)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 104 = -301. Suppose -147*m + v = -144*m. Solve 3*b + 31 = -4*t, -4*b + b = 3*t + m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 335, 315, 283, 239, 183?\n\"Answer: -6*h**2 - 2*h + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -161, -162, -163, -164, -165?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-64)\/6*27\/(-12). Let n be (5\/(7 + -22))\/((-4)\/p). Find y such that 0*y + y**4 - 1\/3*y**5 + 0*y**3 + 0 - 4\/3*y**n = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 2*z. Let g be l(3). Suppose -4*y = 3*m - 2, 4*m - g*y = 8 + 3. Suppose x + m*x = 27. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-15)\/(-10))\/(1\/2). Let q be (-32)\/(-6) - 1\/z. What is the derivative of 3*y**4 + q*y + 2 - y - 4*y wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.836 + 4.836. Put -209, -5, -0.2, 1\/3, a in increasing order.\nAnswer: -209, -5, -0.2, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 10:29 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 4*w - 261, 3*w + 33 = -3*c + 225. What is the highest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -2*s + 2 + 292, -1170 = -4*l - 2*s. Suppose 0 = -5*w + p - l, 294 = w - 6*w + 2*p. Let d = 1 - w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*u + 4292 + 5641 = 0. What is the greatest common factor of u and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 39*k**2 + 1. Let x be q(1). Suppose x = 6*y - y. Calculate the least common multiple of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51 and 911914?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) - 2*(-2*sqrt(33) - sqrt(33)))\/(sqrt(11) - (sqrt(99) + sqrt(99) + sqrt(99)*-2 + sqrt(99))).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2313\/4 + 596. Suppose -28 = -5*u - 2*t, 3*u + 5*t - 17 = 4*t. What is the common denominator of u\/9 + (-80)\/(-114) and v?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*p = -12. Suppose 2*q - 16 = 6*a - a, 0 = -3*q - p*a + 3. Suppose -n - 71 = -5*u - 0*n, -3*u + q*n + 45 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 534.78495ns in days?\nAnswer: 0.000000000006189640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 211476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 632515.8 nanograms to grams.\nAnswer: 0.0006325158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/7)\/(q**5\/q))\/(q**2*q*q*(q**(-4)\/q)\/q)*(q**0)**(-1\/62)\/(q\/(q\/(q\/(q\/(q*q*q*q*q**(-4\/5)\/q*q))))*q*q**(2\/7)) assuming q is positive.\nAnswer: q**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3209 + 32*d**3 + 3209 - 30*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -42*s**2 - 3*s + 3. Let g(u) = -798*u**2 - 56*u + 56. What is 3*g(t) - 56*j(t)?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1035199 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 20. Let x be d(16). Is 9 a factor of (-184)\/(-10) + x\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 7*j + 10. Let r be (-2)\/20*-6*-15. Let b be f(r). Let z = 53 + b. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/19 + 1562*n\/19 + 1564\/19.\nAnswer: -2*(n - 782)*(n + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1419299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(80) - (sqrt(48)\/sqrt(4))\/sqrt(2))\/(6*sqrt(12)\/sqrt(4) + 4*sqrt(6)\/sqrt(2)).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1101 (base 3) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61 and 11418346.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -658 divided by 8?\nAnswer: -329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -p + 1, b - 16 = -p. Let o = -11 + b. Solve o*t + 2*t + 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8652?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - q + 1. Let g(a) = -a**2 - 6*a - 4. Let s be g(-5). Let j(h) = -3*h**2 + h. Give s*j(v) - d(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/1180167 and 17\/3.\nAnswer: 1180167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 71607305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 2*h - 4, -5*h + 3*h + 4 = m. Solve 45 = -2*d + 2*c + 41, -13 = -d - h*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 593 - 2421\/4. Calculate the common denominator of v and 59\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*v**4 - 57432*v**3 + 50338401*v**2 + 2169274577*v - 6959319972 = 0. Calculate v.\nAnswer: -44, 3, 7261\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**5 - 84*o**4 - 177*o**3 - 90*o**2.\nAnswer: 3*o**2*(o - 30)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**3 - 212*x**2 - 6*x**4 + 209*x**2 + 5 - x - 4*x**3 + 9*x**4 to the form b*x**4 + i*x**3 + l*x + v*x**2 + j and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 6*l**2 - 2*l - 9. Let r be a(-6). Suppose -2*m - 2*d = 3*m + 146, -5*m + r*d - 131 = 0. Let s = m + 43. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7118650 and 345?\nAnswer: 491186850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23 * -0.04.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**3 + 0 + 4*m**2 - 6*m - 37\/6*m**4. Let s be n(4). What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39715 and 2867?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 65 and 0.2468.\nAnswer: 65.2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1465 and 7181137?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -258, 1, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1021984 and 88944?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32.4 - -41.4. Put 0, 2\/21, n in decreasing order.\nAnswer: n, 2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 6:56 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -68314 - 174?\nAnswer: -68488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.2 in 4, -6\/11, -357, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23443 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4287426569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 116466313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 236 and 5513786?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 19\/10325?\nAnswer: 19\/10325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b0 - -31caa?\nAnswer: 3208a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -6*x - 2. Let q be f(-1). Suppose -3*r = 4*c + 6 - 25, 0 = -4*r + q. Suppose 0 = -t + 3*t. Solve -3*h - 35 = c*s + s, t = -3*s - h - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 14 - 54. Let z = 8 - t. Let o be 1 - (-1 - z) - 0. Solve 2*r - 21 = -3*l - o*r, -2*r - 6 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -63 - -316\/5. Suppose 4*t + 0 = 4. Let y = -14630.5 - -14630. Which is the nearest to t?  (a) -3  (b) u  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 5*w - 1. Let t = -234 - -351. Suppose 116 = -6*i + 8. Let d be 68\/i - 26\/t. Determine l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8605482, 4, 0 in descending order.\nAnswer: 4, 0, -0.8605482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33047*o**6 - 3*o**2 + 3705*o wrt o.\nAnswer: -3965640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1995818 + -1255468. Let b = z + -886525. Let p = b + 2437811. What is p rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*u = 19. Let j = u + 4. What is the greatest common factor of j and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 3:19 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -8*p - 1. Let s(u) = 39*u + 5. What is 11*b(m) + 2*s(m)?\nAnswer: -10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6\/7)\/(s\/s**(-6)))\/(s*s*s**(1\/9)*s**(-3\/11)) assuming s is positive.\nAnswer: s**(-6719\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from pfppggt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 g when three letters picked without replacement from njgggnoggnjuxxg.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/4 + 861*q\/4.\nAnswer: -q*(q - 861)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446 - 1202 = -5*v + c, -3*v = 5*c - 972. Does 28 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38.981 + 0.259. What is l rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 436 and 52102.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 2. Let l(g) = 1 + 3 + 8 - 5 + 4 + g. What is l(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 + 3700*o - 22 - 7)*(-o - 3*o + 3*o).\nAnswer: -3700*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 4691*y**2 + 68*y + 1. Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -o - q - 1, -5*q - 7 = 4*o. Let r(b) = -50*b - 499. Let h be r(-10). Let n = -58 - -172\/3. What is the closest to n in o, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (1 - 6)) + -9 + (18 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 6*a + 7. Let d be u(-8). Let h be 1*d\/3*-1. Let x(o) be the third derivative of o**4\/12 + o**3\/6 - o**2. Determine x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 + -37.75. Let d = 0.15 - c. Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7687 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -6*l**3 - 1. Let h be y(-1). Suppose 0 = 6*i - h - 43. Solve i = -2*b + 5*v - 9, -5 = 2*b - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) -9  (c) 1461  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59661 (base 11) to base 13.\nAnswer: 30198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -450.3141 - 6.7559. Round h to the nearest integer.\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-18) - 5162\/522.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + -9. Let t = s + 17. What is the biggest value in 1, t, -5, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/((-2401)\/(-686))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1176 - 207 = -3*p. Let y = p - 1381\/3. Which is the fourth smallest value?  (a) y  (b) 1  (c) 0.3  (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 6*r**2 + 7*r - 6. Let k be g(5). Suppose 0 = -k*v + v. Suppose 2*x - 2 = y + 5, -5*y = 5. Solve -i + x*i = -p + 14, -p + 4 = v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4*a = -40, 3*o - 5*a + 3*a = 48. Is 5 a factor of 157 - o*(-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -27\/5, 2, -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 0, 64 = 4*h + j + 2*j. Let f(o) = 0*o**2 + 2*o**3 - o - 7*o**2 - 9*o**2 - o**3 + 22. What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-80)\/(-70)*7\/2. Solve -q*b + b = 3*z + 18, 2*z = -3*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**6\/24 - 11*o**5\/24 - 35*o**4\/48 + 5*o**3\/2 + 35*o**2 + 35*o. Let t(v) be the first derivative of z(v). Factor t(i).\nAnswer: 5*(i - 6)*(i + 1)*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 37775, 2\/13, 0.06 in ascending order.\nAnswer: 0.06, 2\/13, 37775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101124043 (base 5) to base 7.\nAnswer: 3331453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 150559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or 607388?\nAnswer: 607388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n + 41. Give y(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36 (base 14) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from osoeajdje. Give prob of picking 1 j and 1 a.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from qzzzzzzzzzqzgg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.33 in 3, -27, 5, 0.3, 9\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, c: 1}. What is prob of sequence cl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 + 33 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1211211 + 0?\nAnswer: -1211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 - 1583744*y - 313530632192.\nAnswer: -2*(y + 395936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 5*f**2 + 190*f + 525 = 0.\nAnswer: -35, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -3*n**4\/8 - 3*n**3\/2 + 12*n**2 - 9*n. Let g(f) = 3*f + 3. What is -8*g(v) - 3*y(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k**2 + 11*k - 4. Calculate the smallest common multiple of 6 and p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*r + 735*r**2 + 5*r + 5*r - 27*r.\nAnswer: 735*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25521, 25518, 25515, 25512, 25509?\nAnswer: 25506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 607505*0.8\nAnswer: 486004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18048557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 + 13*g + 35. Let h be u(-10). Suppose 0 = -h*r + 26 + 484. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 182*v - 1 - 5 - 4 + 8. What are the prime factors of d(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/15, -3, 2\/3, -0.236?\nAnswer: -0.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.2 in 1\/6, -3, 0, 20, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 42, -0.5, -1, -2\/9, -58.\nAnswer: -58, -5, -1, -0.5, -2\/9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of -1\/70*h**7 + 0 + 0*h + 0*h**5 - 2*h**2 + 0*h**6 + 0*h**4 - 1\/3*h**3. Differentiate o(j) with respect to j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (-2 + -1 + -4). Suppose d = a - 8. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = 2*d - 5*d. Let x(i) be the first derivative of 3*i**2\/2 + 3*i + 21. Let a(g) = g + 1. What is d*a(f) - 6*x(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 5*l + 6. Determine n(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64614 + 141931. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1259 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 302631725 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/5  (b) -8\/13  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214734 is divided by 144?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.4, -7, -2, -3\/11, 121, -3\/19, 1\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1659)\/420 - (0 + -4))*252\/21\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z + 5*z + 1 - 4*z - 4*z. Let t be r(-4). Let k(g) = g**3 - 6*g**2 + 5*g + 1. Determine k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i - 4*i - 5*o, 2*o = 3*i - 6. Suppose 5*p - 2*u = -7 + 53, -56 = -5*p - 3*u. Calculate the highest common factor of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 9169 - 18339 - x**2 + 9170. Let r(i) = -6*i - 37. Calculate r(v(t)).\nAnswer: 6*t**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 4*i - 66 = -22, 0 = f - 2*i - 8. Suppose 0 = -2*v - 2 - f. Let o be (-18)\/48*(-4)\/v. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -127*s**5\/20 + 1795*s**4\/12 + 208*s**2 - 2*s + 2. What is the second derivative of h(t) wrt t?\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s + 3*s - 3*s + 2 - 2 + s + (-13*s + 4*s - 19*s)*(-23 - 2 - 4) + (-s - 1 + 1)*(1 - 1 + 3) to h + l*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -127 + 136. Suppose -2*d - 294 = -h*d. Let f = d - 48. Let a(n) = -2*n - 13. What is a(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -3\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 682394 and 44.\nAnswer: 15012668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 76\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 41\/3231?\nAnswer: 41\/3231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13803 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-3)\/72*12\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 3*n + 18. List the prime factors of a(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 537483701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/7753031 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w - 4. Let f be j(-4). Let u(c) = -c**3 + 7*c**2 - 6*c + 2. Let d be u(6). Suppose f = -b + d. Solve -3*g + 4*g - b = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 2*y. Let g be z(0). Suppose g = -14*l + 12*l + 86. Suppose -w - 17 = -2*w - v, 3*w - l = -v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (5 - (-14 - -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*k + 2*k + 3*k)*(4*k**4 - k**4 + 0*k**4).\nAnswer: -114*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 87\/(-9) + (-16)\/12. Let q(m) = 48*m + 6 - 1 - 42*m + 0. Let s(d) = -17*d - 14. Give u*q(v) - 4*s(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**3 + 2*s**3 - 2*s**3 - s**3 + 2*s**2 - 2*s**2 + (s - s - s)*(-s**2 - 2*s**2 + 5*s**2).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 8:13 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2800 and 20.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 8:56 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 5*m - 10, 4*o + 5*m = 8 + 1. Is (o + -3)*-213 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*j**2*t + 1083*j**2 - 28*j*t + 22*j - 6120895*t with respect to j.\nAnswer: 4*j*t + 2166*j - 28*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/63)\/(155\/(-3255)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {s: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19062892127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ariqfrfrqiij. Give prob of sequence aff.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -46.3 + 123523.58\nAnswer: 123477.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 + 27. Suppose 0 = -5*m - 3*u + 15, -2*u = h*u. Does 12 divide (-15)\/(-1 + 0)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-7)*-14*(-2)\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 207*q + 194*q + 6416 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*w = 294*w - 2*k - 3*k, -4*w - k = k - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 11, u: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - j = j - 4, -j + 1 = -h. Solve 8 - h = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37.53 - 37.83. Let t = -1.1 - -0.6. What is the fourth biggest value in t, s, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -37*i**2 - i. Let l be m(1). Let v = l - -53. What is the remainder when 28 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 9:37 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 14. Let u = -255 + 250. Let r = 45\/14 + -26\/7. What is the nearest to -1 in u, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 4:11 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8840 by -104.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 5, 991 in descending order.\nAnswer: 991, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -373 in 2, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10666, -18957, -32776, -52123, -76998, -107401, -143332?\nAnswer: -184791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 218*o - 11 = -213*o, 12*o + 33 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 180  (b) -3  (c) -6\/5  (d) -5  (e) 383  (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-28))\/((30\/(-8))\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - n. Let m(s) = 25*s**2 - 15*s - 10. Let u be (2\/(-3))\/(6\/(-9)). Let q(t) = u*m(t) - 20*x(t). What is l in q(l) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1201 + -1003?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009334 to 5 decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -50*x - 4. Let f(i) = i**3 + 7*i**2 + 4*i + 50. What is the lowest common multiple of u(-3) and f(-7)?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243121 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: Product of 12 and -2.76.\nAnswer: -33.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13357740 divided by -10940?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1675*b + 208*b + 1345*b + 57*b - 510*b.\nAnswer: 2775*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-3\/2)\/m*m)\/m)\/(m**(-2\/9)*m*m))**(-37) assuming m is positive.\nAnswer: m**(2849\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/26 or -1\/5?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(567)*-3 + -1 - sqrt(567)) + (sqrt(567) + 2 + sqrt(567))*-1)**2 + 0.\nAnswer: 324*sqrt(7) + 20421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30.97 - 151.32. Let y = l - -119. Let r = -1.25 - y. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3219*a + 4*x = 3224*a + 56, a + 16 = -4*x for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/3 + (-12)\/(-18). Suppose -g*z = -6*z + 1920. What is z rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2016002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/(-2 + (-183)\/(-90)). Let k = 0 + b. Solve -5*f = -2*n + 3*n - k, -3*f + 22 = -2*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -846 + 846.2. Let x = 0.4 - -0.6. What is the closest to x in -0.4, 3\/7, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8\/36 + (-1813)\/(-63) is divided by (2\/(-4))\/((-1)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/4)\/(45\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -19*k**3 + 16*k**2 - 6. Let x(h) = 18*h**3 - 15*h**2 + 5. Let w(t) = 5*p(t) + 6*x(t). What is the third derivative of w(m) wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**3 - 4*o**2 - 4*o + 8. Calculate d(4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 13) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5568 and 276?\nAnswer: 128064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 1484 = 17*s. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21654966 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18187751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34*o**2 + 0*o**4 - 3*o**4 + 80*o**2 + 12*o**3 - 12*o**3 - o**4 + (0 + 4 - 5)*(0*o**4 - 2*o**4 + 0*o**4) - 2*o**4 + o**4 + 2*o**4.\nAnswer: -o**4 + 46*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**9\/s**(-9)*(s\/(s*s**(-2\/11)))\/s**(2\/7)*(s**(-6)*s*s\/(s*s*s**(2\/5)*s))\/(s**(4\/5)\/(s*s*s**(9\/4))) assuming s is positive.\nAnswer: s**(21477\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23966569 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*h - 7. Let b = 8 + h. Suppose 9*o = b*o - 36. Is o smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13422 - -1221220?\nAnswer: 1202243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7471819?\nAnswer: 59, 126641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-102) + 237225\/12582414?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 174 + -165. Suppose -g*q = -15*q + 30. Solve q*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 362 (base 10) in base 8?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 360\/(-4900)*(-10)\/7*147\/126?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2111212121202 (base 3) to base 12\nAnswer: -545178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*-6*(-4)\/(-16). Suppose 0 = -n*b + 13*b - 48. Solve 0 = -5*x - 3 - b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38284 and 3740?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/(-10)*(-942)\/(-4710)*150\/(-2)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.62006 + -175?\nAnswer: -169.37994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 419377, 838756, 1258135, 1677514, 2096893?\nAnswer: 2516272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 105360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 428210514 less than 1355?\nAnswer: -428209159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 69334\nAnswer: 1\/34667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n**2 + 97*n - 672. Calculate i(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 29302c05 - -1?\nAnswer: 29302c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 - 18 = -19*z - 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3186 and -0.4?\nAnswer: -0.12744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-64)\/4*2\/(16\/(-14)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence isod when four letters picked without replacement from {o: 2, d: 1, s: 2, i: 1, q: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**8\/336 + 9*p**6\/20 + p**4\/8 - 49*p**3\/6 - 74*p**2. Find the second derivative of f(o) wrt o.\nAnswer: -20*o**3 + 324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 51288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - q - 20 = 0, 5*q + 3 + 13 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - 1 - (8 - -26 - -9).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -60*h**3 - 2*h**2 - 2*h - 1. Let f be y(-1). Let w = f + -36. Let v = w - 8. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 3\/2  (b) -6\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 48 + 1*(-7 - -5). Let l = -43 + v. Calculate the highest common factor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 42824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29 - 114.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-10\/11)\/u**(-14))\/(u**(3\/2)\/u)**(-1\/13))**(-16) assuming u is positive.\nAnswer: u**(-30040\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 86\/(-110) + (3 - (-72)\/(-30)). Which is the smallest value?  (a) h  (b) -5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 9*y**7\/1960 - y**6\/420 - 9*y**5\/280 + y**4\/28 + 7*y**3\/6 + 8*y**2. Let o(b) be the first derivative of p(b). Factor o(f).\nAnswer: 3*(f - 1)*(f + 1)*(9*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + -7. Is v\/81 - 2938\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-36)*p**9)\/(p*p**4*p)**10 assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -15. Suppose -a*p + 46 = -26. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p - 473074310029 + 473074310029.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 3, -117, 75, -3, -1, 8 in ascending order.\nAnswer: -117, -8, -3, -1, 3, 8, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q = -7679568 - 720432. Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/6)\/(1\/9). Let s = -3\/26 - 19\/286. Find the common denominator of s and (-38)\/(-22) - (5 - m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170587 - 170587 - 5*w**2 + 0*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 221 + 164. Let w = -383 + s. Solve w*u = -3*d - 6, -2*d + 1 - 5 = -5*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 24. Let b be y(0). Let g(i) = -3*i**3 - i**2 + i - 1. Let a be g(1). Let l = 0 - a. Solve -5*m = b - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - (-7)\/(-4))*136. Let l = u - 97. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 5*q = 4*u, 5*q - 4 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w\/((w**4*w*w)\/w)))\/w**10)**(3\/5) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 984 - 981. What is the third biggest value in m, 0.2, -0.249?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -9. Let d = u + -10. Let s = -2.1 + 2. Sort s, -0.2, d in ascending order.\nAnswer: d, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 152.8 + -136.8. Sort -1, -0.5, s.\nAnswer: -1, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 - 2*v + (-5 - v + 5)*(74 - 59 + 176) to g*v + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(3))*1 + -2 - (3 + (sqrt(147) + 1 - sqrt(147))))**2.\nAnswer: -14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + 6*k**2 + 5*k - 3. Let w be p(-5). Let i(f) = -3*f**3 - 3*f**2 - 3*f - 2. What is the tens digit of i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19.4 - -28. Let s = -8.1 + n. What is the third smallest value in 3, s, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aat when three letters picked without replacement from {x: 2, v: 4, t: 5, a: 2, g: 1}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 12*j + 6. Let i be v(10). Let c be (8\/30)\/(i\/35). What is the closest to 1 in 1\/2, c, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -534, -599, -696, -825?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 80960298*x**2 - 79431899*x.\nAnswer: 161920596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3 - 4) + 1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*d - 3434 = 522. Suppose i = p - 22, -3*p - 2*i + 3*i = -66. Calculate the remainder when d is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r = -11*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 2*s = -5 + 8, 5*i = 4*s + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0194 - -0.0075. What is a rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 758*o - 98189. Determine b(165).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - s**2 - 63*s + 9. Calculate d(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 98 = 103, 2*t - 40 = -54*f + 49*f + 4*t for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 1)*1*-5. Let i(v) = 17*v - 20. Let n(z) = -6*z + 7. Let y(p) = 3*i(p) + 8*n(p). Let u be y(a). What is the greatest common factor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 5434909494?\nAnswer: -5434909493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from {x: 2, i: 1, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 89038682 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.5956 and 18232.196434?\nAnswer: 18225.600834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*i - 69374 = 1544251. Is i\/(-20) + ((-14)\/(-8) - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110591 = -2*d - 75019. Let o = d - -249041. Let a = 311236 - o. What is a rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 - 1)*(-3*z + 0*z - z) - z - 3*z + 2*z + (-3 + 0 + 5)*(-4 - z + 4) + 2*z - z + z to the form k + t*z and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 15 = 0, 6 = 3*w - 6*w + 2*i. Suppose -s + 1 = -w*s. Let v be (-3)\/2 + 111\/74. Put -4, 5, v, s in descending order.\nAnswer: 5, s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 39*y - 12. Let d be h(9). Let f = d + -345. Calculate the remainder when 244 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 15*j - 14. Give y(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-691 + 691 + 5*u**2)*(-3*u - u + 2*u) - 2*u**3 + 0*u**3 - 2*u**3 - u**3 + u**3 + 2*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55.354 + -55.09359. Let j = 281 + -281.26. Let a = j + r. Round a to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i - 2 + i - 2)*((-2 + 0 + 1)*(-i - 1 + 1) + 519 - 519 - 123*i) in the form h*i**2 + q + d*i and give d.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, g: 7, m: 4, b: 4}. Give prob of picking 1 m and 1 g.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10062206 (base 7) to base 5.\nAnswer: -203314424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that j**4\/3 + 377*j**3\/3 + 4751*j**2\/3 + 6883*j\/3 - 4004 = 0.\nAnswer: -364, -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 1. Solve 2*j - 5*w + 2 = -x, 0 = -5*w + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 4*h - 31. Let f be n(9). Let k = -6\/5 - -17\/10. Sort f, k, 2 in ascending order.\nAnswer: k, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 122133 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let v(h) = 26*h**2 - 276*h + 25. Let m(l) = -31*l**2 + 274*l - 30. Let r(c) = 5*m(c) + 6*v(c). Give i(r(j)).\nAnswer: j**2 - 286*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36928 - 36884. What is the remainder when 2683 is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36067*r + 36542*r + 10925 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, 1, -7, -0.3, 10, 43.\nAnswer: -7, -0.3, 0.12, 1, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-14)\/12)*1400\/480*6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 22 - 20 = -3*c, -2*s + 55 = 5*c. Calculate the lowest common multiple of c and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 6:35 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -497?\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 2*t + 6. Let z be x(4). Let l(h) = -h**3 - h**2 - 4*h - 3. Calculate the remainder when 58 is divided by l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/((d*d\/((d*((d**(-2\/25)\/d)\/d)\/d*d)\/d))\/d)*d*d**(-34)*d\/(d*d**26)*d*d**(2\/15)\/d assuming d is positive.\nAnswer: d**(-4571\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85643 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 37 + (4 - (-17 - -45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4017 + 416 - 7956*a**2 + 4279*a**3 + 7956*a**2 wrt a?\nAnswer: 12837*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -363362, -726735, -1090108?\n\"Answer: -363373*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 824 - 7004 = -2*u, 5*u - 19505 = 3*q. What is u rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - v - 10, 4*i = -2*v + 102. Calculate the lowest common multiple of i and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1 + 3*(3 + (-4*(sqrt(72) + 2) - (-3 + 0 + sqrt(72))) + 0))**2.\nAnswer: 180*sqrt(2) + 16201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3 + 5 - 1 + w. Is c(-5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a = 5*n + 98, 0 = -5*n + 4*a - 792 + 706 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*g - 3 + 129, -4*c + 3*g = -168. What is the remainder when 113 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + (sqrt(45) - sqrt(720)) + sqrt(45)))**2 + 4 - (-3 + (-5 + sqrt(405) - sqrt(90)\/sqrt(2)*2)).\nAnswer: 105*sqrt(5) + 1641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -339036 and -17118.6.\nAnswer: -356154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 48*c**3 - 14414*c - 1771015.\nAnswer: 144*c**2 - 14414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6930.000012074 - -6930. What is s rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5*(sqrt(468) + 0 + sqrt(468)))**2 - ((-5 + sqrt(13)*-1 + sqrt(13))*-1 + 0)**2.\nAnswer: 46775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v - 10. Let w be i(-6). Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99220 and 54120.\nAnswer: 595320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(144)*3 + sqrt(144))\/(((-1*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(11)))\/((sqrt(150)\/(-2*sqrt(5) + sqrt(5)))\/sqrt(5)*2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/3 + 438885*w**2 - 144465690744*w + 433393122276.\nAnswer: -(w - 658326)**2*(w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*b + 110 = -592 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 146967\/85 - 1729. Let q = g + 156\/595. Let t = -43\/2 + 22. Sort q, t, 0 in ascending order.\nAnswer: 0, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -295 + 294.9. Let n = -347.93 - -348. Sort n, -3, 0.5, r in decreasing order.\nAnswer: 0.5, n, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15175*f = 15179*f + 56 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4*g + 2645. Let a(o) = -5*o - 2652. Determine -6*a(p) - 7*s(p).\nAnswer: 2*p - 2603","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 18 = 5*p, 3*p - 6816*r + 6820*r = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -7*h**4 + 2*h**4 - 10*h**2 + 3910*h**3 - 3925*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j + 3. Let w be t(-3). Let o = 216 + -223. Let z be (-7)\/56*-4*(-1 - o). Solve -w*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4300*m + 2175*m - 1109*m - 13*m + (5 + 1 - 4)*(-4 + 4 + m) in the form h*m + d and give h.\nAnswer: 5355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/15, -1, -1\/8, -30, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 0.0442.\nAnswer: -0.2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-35 - -24) - (-1 + 7) - (-21 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 18  (b) -2\/13  (c) -0.1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16273802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3588197.\nAnswer: 41, 87517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/3, 0.4, -61785 in descending order.\nAnswer: 0.4, -1\/3, -1, -61785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5*t**3 - 7*t**2 - 40*t - 288. Let a be o(-6). Calculate the highest common factor of a and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + -1 + (-2)\/(-1). Let a be (8\/(-16))\/(s\/(-2)). What is the biggest value in 1, a, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 182921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101 - -1010011?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -108*t + 3. Let x be f(-5). Suppose v - 3*s - 317 = 0, -264 = -3*v - 5*s + 701. Let n = x - v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213*p**3 - 348*p**3 + 247*p**3 - 5.\nAnswer: 112*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -3*t - 3, 2*t - 3*a - 27 = -29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express k**2 + 37 + 2*k**3 + 39 - 65 in the form j*k**3 + r*k**2 + u + i*k and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**21*k*k\/(k**(-2\/11)*k)*k assuming k is positive.\nAnswer: k**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -185, -384, -581, -776, -969?\n\"Answer: u**2 - 202*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 3 = -4*z. Suppose -4*h = 5*k - 21, -z*k = 4*h + h - 15. Solve -q - 2*j + 2 + 5 = 0, 4*q - 2 = k*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b**2 + 5*b - 2. Let i be q(1). Let o(a) = -3*a - 3. Let d(n) = -4*n - 3. Determine i*o(r) + 2*d(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of x**4\/12 + x**3\/2 - 3*x**2\/2 + 4*x - 2. Let s(l) be the first derivative of d(l). Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 5*g - 1241 - 450, -u + g = 577. Let c = u - -568. Do -44\/13 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 22369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 0. Let v be ((-24)\/(-20))\/((-12)\/(-40)). Put y, v, -5 in increasing order.\nAnswer: -5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-4)*(5 - (-4 - 27))\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 3*f + 4. What is the tens digit of m(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16306608.\nAnswer: 2, 3, 383, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qngqggtntqgggnt. Give prob of sequence qqtn.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/((-2)\/(2 + 0)) is divided by 6 - ((-72)\/(-9) - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.620444 nanometers to centimeters.\nAnswer: 0.0000007620444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1080 is divided by 66?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**3\/v*v)\/v**1)**(2\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**2 + 11. Let f(m) be the first derivative of 7*m**2 + 2 - 2*m**2 + 1. Give b(f(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(18)*3.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + n - 1. Suppose -7*c + 88 = 109. Calculate z(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 786702693 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -119*g*o - 11*g - 3849*o - 158152 with respect to o.\nAnswer: -119*g - 3849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -129\/5, -4, 3\/8, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/48)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 46346?\nAnswer: -46346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73482084 is divided by 195431?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -8*(-33)\/12*2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**21)\/((h*(h\/h**(-2\/13))\/h)\/h))\/((h\/h**(3\/14))\/(h**(9\/4)\/h)) assuming h is positive.\nAnswer: h**(-7167\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2989362626385 - -4.\nAnswer: 2989362626389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93003, 747369, 2523505, 5982297, 11684631, 20191393?\nAnswer: 32063469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7900100 and 267388?\nAnswer: 86901100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.74 - 1.74. Let d = 13\/5 + -2. Which is the biggest value?  (a) 2\/13  (b) d  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*w - 549*w + 286*w.\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47070425430 - 32076696467. Let j = g + -14993729171.99999438. Let q = -209 - j. Round q to seven dps.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8 - 15 - 7)\/(-2) - -13987?\nAnswer: 2, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 268, -158\/5, 1, 2\/21, 1\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -143, -131, -109, -71, -11, 77?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of v**2 + 1\/15*v**5 - 2 + 0*v + 2*v**3 - 2\/3*v**4. Determine m so that w(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 209*p - 209. Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 834 divided by 6\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(13)*-2 + sqrt(13))**2 - sqrt(1053)*2.\nAnswer: -22*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i - 3*i + 8. Let h = i - 8. Let b(y) = y**3 + 3*y**2 + 3*y + 3. Let u(r) = 2*r**3 + 5*r**2 + 5*r + 5. What is h*b(a) + 6*u(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/810 and 85\/36.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 6:44 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -419 (base 15) in base 6?\nAnswer: -4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29 - (-44757)\/1215) + 16\/(-432).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2. Let u(w) = 10640*w. Give k(u(z)).\nAnswer: -113209600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49290 + 49289. Let c = 377 - 265. What is the third biggest value in p, 4, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139632229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 - 11*i - 18. Suppose -4*q + h - 34 = 0, 14*q + 3*h = 16*q + 22. Calculate w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 - (-6 - 27188) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -z**7\/280 + z**4\/12 - z**3\/2 - z**2. Let i(w) be the first derivative of n(w). Differentiate i(k) wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1821110.\nAnswer: 2, 5, 182111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 128 = -4*o, 5*o = -2*p + p + 176. Suppose 4*s - 24 = o. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -359262*w**2 + 359264*w**2 + 4180 - 2*w + 3978 as a*w**2 + l + q*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1430904181?\nAnswer: 7, 197, 449, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - j. Let u(f) = -4*f**2 + f + 5. Let y(k) = -3*p(k) + u(k). Calculate y(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*c**2 + 39*c**2 - 13*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - -3*sqrt(110) - sqrt(110))\/sqrt(10) + (sqrt(77) + (sqrt(77) - -2*sqrt(77)) + sqrt(77))\/sqrt(7).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.62 + -1.52. Let y = 8 - t. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23499 and 24150.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -299*b**2 + 560 - 560 to the form g*b**2 + q + s*b and give g.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16262445?\nAnswer: 3, 5, 31, 41, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 26 + 9 + 16*p)*(-4 + 3 + 3 - p**2 + 4*p) as b + o*p**2 + d*p**3 + k*p and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/7 in -5, -0.4, -212, -1\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50353 at most as big as 785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -334 - -389. Suppose -56*h + g*h = -39. Calculate the highest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5381697 = 10*t + 6808896 + 10202801. Round t to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -58  (b) -8  (c) 0.5  (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/134, -2\/5, -2?\nAnswer: -5\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82345 + 20782. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {o: 6, d: 1, j: 3, k: 1, i: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1079 less than or equal to -1041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -3)*8\/(-6). Suppose 5*c - 4 = -2*u + z*c, -4*c = 5*u - 7. Which is smaller: u or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*l - 28*l - 20*l + 34*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -10*k + 3. Let h(f) = -5*f + 1. Calculate 5*h(x) - 2*y(x).\nAnswer: -5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 1:32 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times -207.4?\nAnswer: -2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3111*z + 979972. What is o(315)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + x - 2. Let m be o(0). Let f = 4\/281 + -859\/1124. Which is the nearest to 2?  (a) m  (b) 0.3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 937223513 - 2.\nAnswer: 937223511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 9) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 34, 8, 0 in descending order.\nAnswer: 34, 8, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**3\/4 - 11205*y**2\/2 - 44829*y\/4 - 5604 = 0. What is y?\nAnswer: -1, 7472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*i - 11*i - 2204. Let s = i - 311. Suppose -2*w - s = -10*w. What is the greatest common divisor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/9  (b) -0.2  (c) -0.3  (d) 7  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1717*u**2 + 2*u - 12722.\nAnswer: -3434*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 116 = -20. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 4*l. Let x(n) = 8*n**2 - 3*n**2 - 39*n + 4*n**2. Let o(u) = -21*r(u) - 2*x(u). Find q, given that o(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 17.38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 1 + 13 = 0. Suppose 2*z - 30 = -f*j - j, -2*j = 4*z. Suppose a = -a + j. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 361 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 + -42.15. Let f = p + 0.35. What is f rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 13617, 27240, 40885, 54558, 68265, 82012, 95805?\n\"Answer: f**3 + 5*f**2 + 13601*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(171) + 1*sqrt(171) + sqrt(171) + sqrt(171)))\/(sqrt(225)*-4 - sqrt(9)) + sqrt(19) + (sqrt(19) - (sqrt(1900) + 2)) + -1 + sqrt(931) + sqrt(931).\nAnswer: -3 + 118*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 489430 divided by 85?\nAnswer: 5758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -443256*v + 501756 with respect to v.\nAnswer: -443256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2. Let k(y) = 89*y**2 + 5 - 5. Give j(k(z)).\nAnswer: -7921*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**2 + 88*u - 2992. Let n be q(29). What is the highest common factor of n and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -232, -644, -1204, -1888, -2672?\n\"Answer: 4*q**3 - 98*q**2 - 146*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/4 + 13*s**3\/4 + 41*s**2\/4 + 47*s\/4 + 9\/2 = 0. What is s?\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 180 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**3 - 6*q**2 - 5*q + 11. Let p(h) = 2*h**3 - 4*h**2 - 3*h + 7. Determine -5*m(g) + 8*p(g).\nAnswer: g**3 - 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b + 1. Let g(w) = -3041*w + 3. Determine -5*f(p) + g(p).\nAnswer: -3036*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from ysccyypqtsqctyccc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 5, i: 11}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 2999*s - 3006*s - 28, -4*t - 84*s = 392 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4 + 932*d**3 - 42450*d**2 - 26820648*d + 2601187992 = 0. What is d?\nAnswer: -167, 117, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 12320+-2479\nAnswer: 9841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 + -24. Let y be (1\/(-2))\/(1\/w). Let h = 2 - y. Solve -20 = 2*j - h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1803228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 1. Let m be q(3). Suppose -2*y + 56 = -2*n, y - 81 = -2*y + m*n. Solve 5*f + y = -3*l, 3*f - 3*l + 4*l = -11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**8\/960 - 23*y**7\/3360 - 11*y**6\/720 + y**5\/60 + 7*y**3\/3 + 34*y**2. Let o(b) be the first derivative of r(b). Factor o(j).\nAnswer: j*(j - 4)*(j + 1)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/9 - 20*t**4\/9 + 77*t**3\/9 + 242*t**2\/9 = 0. What is t?\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.738798 to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 34 - 22. Suppose 56 = -5*k + 2*d, 3*k + 5*d - 1 = -16. Let z = k + v. 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 third derivative of 32*t**3*u**2*z**2 - t**3*z**3 - 5*t**2*u**3 + 7*t*u**3*z**3 + t*u + 3*u**3*z**3 + 2*u**3*z**2 - 2*u**2 wrt z?\nAnswer: -6*t**3 + 42*t*u**3 + 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 12 + 1 + 4 - 82*b + 45*b**2 - 44*b**2 to the form s*b**2 + r*b + a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 236 - 229. Let r(u) = -p*u + 8*u + 9*u + 18*u. Let d(s) = 5*s**2. Give r(d(k)).\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/1 - (-3 - -2). Let y = i - -14. Suppose -y = -5*j + 61. What is the remainder when 58 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 + 4 + (-812)\/(-6))*33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 + 42 = -5*t. What is the second derivative of 5*q**3 - 13*q**4 + t*q**4 + 5 - 2*q**3 - 12 + 7*q wrt q?\nAnswer: -12*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49009136.\nAnswer: 2, 11, 23, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2236*f**4 - 34*f**3*n**3 + 842*n**3 + 1393*n**2 + 2 wrt f.\nAnswer: 8944*f**3 - 102*f**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2784*a**4 + 2964 wrt a?\nAnswer: -11136*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -514*w + 28 = -519*w - 4*n, 0 = -4*w - 100*n - 700 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1348441, -1348406, -1348371?\n\"Answer: 35*z - 1348476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -3621502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 7*k + 2. Let r be l(7). Let g = -9.64 - 0.36. Let f = 9.9 + g. What is the nearest to f in r, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 2*k = 0, -3*r - 15 + 55 = 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10\/75 + 849\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 101 = 9. Calculate the greatest common divisor of a and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1056, 1079, 1108, 1137, 1160, 1171, 1164, 1133?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92430315.\nAnswer: 3, 5, 228223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*f*p**2 - 8372*f*u**2 - 5*p**2*u**2 + 130*p**2*u + 5*p**2 wrt f.\nAnswer: 2*p**2 - 8372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3488483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u - 4 - 1 - 3*u + 8*u. Let r be (-15)\/(-60) + (-15)\/(-4). What are the prime factors of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + -4 - -1)*2. Let j be 0 - (o - (0 + 1)). Suppose j*x - 18 = 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 2*w + 2, 9*w - 17 = 5*a - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*d + 3555 = 5*d. Calculate the greatest common factor of d and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 108.736 + -108. Let m = 0.62 - u. What is m rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*f - 21 = -2*v, v = 3*f + 17. Suppose -4*k = -v*d + 16, 10 = 2*d + 3*d. Let b(r) = -r**3 - 3*r**2 - r - 2. Calculate b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-486*n - 376*n - 178*n + 145*n)*(19 - 5 - 3) to the form p + u*n and give u.\nAnswer: -9845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*d - 30 = -32*d. Solve -19*q + 20*q = -d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ef (base 16) in base 8?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1122 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3a42d - -8?\nAnswer: 3a437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15529429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 286*f**3 + 224*f**3 + 33*f - 74*f**3 - 33*f.\nAnswer: 436*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 18 = -2*u, 5*p = -4*u + p + 4. Does 2 divide 36\/8 - 6 - 346\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4 - -6 - (-34)\/9 and 29\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82574288543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3*100301017\nAnswer: 300903051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*p - 6. Let z be p*12\/4*-1. Suppose 2*y - 3*y = -z. Solve -4*l - 10 = -2*x, x - 4*l = y - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j**3*r + 2*j*k*r - 2*j*k + 15*j*r - 4*k + 30*r + 1 wrt j?\nAnswer: 6*j**2*r + 2*k*r - 2*k + 15*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - s = -468, s = -0*d - d + 233. Let v(w) = -235 + d + 8*w. Let p(b) = b**2. Calculate v(p(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, y: 2, p: 1}. What is prob of sequence fy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**2 + 0*v**2 - 4*v**2 - 4 + 5. Let n(i) = -4*i**2 + 2. Determine 5*c(l) - 3*n(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -216*n - 2699*n + 2979*n.\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 0*k + 21*k**2 + 1\/35*k**7 + 0 + 1\/2*k**3 + 1\/60*k**6 + 0*k**5 - 1\/12*k**4. What is the second derivative of c(r) wrt r?\nAnswer: 72*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*o + 3*o - o + (o + 2 - 2)*(2 - 2 + 2) + 2*o + o - 2*o)*(-7119*o - 5391*o + 1377*o - 14142*o - 1053*o) as w + p*o + j*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (8\/(-5))\/((-1)\/5) and (-4 + (1 - -4))*-1 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/20 - ((-90)\/(-12))\/(20 + -23)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 - 4 - y**4 + 4)*(14 - 100 - 30 + 1 + 1 - 4 + (2 - 3 + 3)*(-1 - 2 + 2) + 0 + 3 - 4)*(-19 + 6 - 20).\nAnswer: -3993*y**4 - 3993*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*o**2 + 5*o**2 - 18*o**2 + 15*o**2 + 18*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 (base 10) in base 2?\nAnswer: 10001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*f + 243 = -9 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 24018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 16633*s - 199587. What is b(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*p + 44*p = 1760. Sort 1, -6, -3, p in descending order.\nAnswer: p, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(-14) - 93\/(-105))\/((-1566)\/(-187920)). Let v(s) = 12*s - 863. Determine v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 + -3)\/(1\/1). Let c = v + -3. Calculate the common denominator of -51*c\/4 + -1 and -4\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2.6 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.43 and 286662.\nAnswer: 409926.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (901992\/(-351))\/98 - (-28 - 0). Suppose 0 + 4*q**3 - 6*q + 0*q**2 - z*q**4 + 2\/9*q**5 = 0. Calculate q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 176545440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (-16)\/12 - 24\/(-45). Let h(x) = 12*x**3 + x**2 - 1. Let c be h(1). Let s be (-32)\/c*2\/(-8). What is the closest to -0.1 in -0.1, s, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:42 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11068 + -10226. What is the remainder when l is divided by 229?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*z + 4385 + 6615 = 0. Suppose 30*y + z - 18050 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 11*b - 20*b + 10*b. Let n(k) = k. Determine n(p(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*h + h. Let m(s) = 5*s**2 + 0*s**2 - h*s**2. Let y(r) = 4*r - 1. Let o(i) = 23*i - 5. Let u(c) = -4*o(c) + 20*y(c). Give u(m(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, g: 4, y: 3, j: 4, l: 5, u: 1}. What is prob of sequence yyj?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1003 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1559 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - f**2 - f + 1. Let h(n) = 12*n**3 + 15*n**2 + 15*n - 18. Let a be 9\/6*-2 - 12. Let t(y) = a*u(y) - h(y). Differentiate t(o) with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 a factor of 240439023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u**(1\/22)*u)*u**(-2\/17) assuming u is positive.\nAnswer: u**(-61\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*m**2 + 5*m**3 - 17*m**2)*(17*m - 7481 + 14982 - 7478).\nAnswer: 85*m**4 + 115*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11 - -449 - 2)\/((-2)\/(-17)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 at least 1.363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/24)\/(6\/4*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -29. Suppose -4*p - 5*h = -9, 2*p - 3*h = -p. Calculate the least common multiple of p and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*d + 2. Suppose -d = k - 4. Solve 15 = -k*c - 3*p, 5*c = 4*p + 10 + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l + 27*l**3 - 2*l**5 - 11*l**3 - 19*l**3 + (0 + 0 + 2*l)*(-4*l - l**4 + 4*l) + l**5 - 6*l**5 - 10*l**5.\nAnswer: -19*l**5 - 3*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**3 + 44*m**2 - 14*m + 20. Determine w(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 9 + 11. Suppose -7*y = -2*y + 4*t, 0 = 5*y + 2*t - 10. Suppose 0 = -y*m + m + 30. Calculate the highest common divisor of m and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of p**5\/60 + p**4\/12 - 5*p**3\/6 + 4*p**2. Let l be z(-4). Suppose -l = -q - 2*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 524\/(-84) - (-4)\/(-12). Do -7 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-20)\/12 + (-4)\/(-6). Let v be -1 + 1\/4*4. Suppose 0 = w - v*w. What is the nearest to d in w, 2\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/(sqrt(11) + sqrt(33)\/sqrt(3)))\/sqrt(8).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a**2 + 2*a - 2. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*t + 39 - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -200*v - 9*v**5 + 200*v - 3*v**5 + 2*v**5 + 3*v**5 + (0*v - 6*v + 4*v)*(0*v**4 + 2*v**4 - 3*v**4) + 0*v + v**5 + 0*v.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 7. Let v be j(3). Suppose 3*c = -v*l - 2*c + 200, 0 = -l + 2*c + 100. Calculate the lowest common multiple of l and 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2094231537 to the power of 1\/2, to the nearest integer?\nAnswer: 45763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5286868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -91*d + 9. Let o(z) = -46*z + 5. Let h(w) = 2*j(w) - 5*o(w). What are the prime factors of h(2)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30615 and 390.\nAnswer: 61230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - 0. Suppose 5*o - p = -2*p + 625, 0 = -4*o + 2*p + 514. Let g = o + -892\/7. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11886 and 1848.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9538, -9710, -9880, -10048, -10214, -10378?\n\"Answer: g**2 - 175*g - 9364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 - l. Let x(y) = 10*y**2 - 3*y + 1. Determine -5*p(g) + x(g).\nAnswer: 5*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 13*p**2 - 19*p**2 + 9*p + 13*p**2 + 7 + p**3. Calculate k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, t: 5, u: 2, i: 2, k: 6}. What is prob of picking 2 k?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, t: 8, p: 2}. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 23. Let f = -14 - d. Put -4, f, 0 in ascending order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 255386, 255383, 255380, 255377, 255374, 255371?\nAnswer: 255368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2316 - -0.0684. Let v be ((-4)\/(-2)*-1)\/(-3). Let z = 25.7 - 25.7. Which is the nearest to 0.1?  (a) z  (b) w  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g. Let w(j) be the second derivative of -7*j**6\/360 - 31*j**3\/3 - j**2 + 116*j. Let u(n) be the second derivative of w(n). Determine u(y(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/3350 and -16\/1388307.\nAnswer: 69415350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-9)*234\/(-156).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11176 and 5899912.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64515.\nAnswer: 3, 5, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 50 + 1 + -47 - (-26 + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -0*g + 30. Let b be 2\/(-4) + (-25)\/g. Suppose b*y = -3*q + 63, -y + 5*q - 155 = -6*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 25*i + 33. Let x be r(26). What is the tens digit of (x\/(-14))\/(3\/(-1332))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 116304 and 54?\nAnswer: 1046736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1)*(157*x + 13*x - 6*x).\nAnswer: -328*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 14 = 2. Let d = w - 8. Let u(q) = -3511*q - 31599. Let h be u(-9). Solve -5*j + j - d = h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, x: 4}. What is prob of sequence xi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j + 45*j = -12*j + 944886. List the prime factors of j.\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7122 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 <= 17715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 311 (base 4) to base 9\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 215010 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from {c: 4, e: 1, a: 3, m: 2, g: 3, w: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000033882 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 5*r**2 - 6*r + 5. Let w be c(6). Suppose 0*z + w*z = 100. Suppose -4*o + 4 = -z. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 519*t**5 + 4881*t**4 + t - 2207649.\nAnswer: 10380*t**3 + 58572*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g, 2*g + 2*g = p - 79. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 374487*v + 1872360.\nAnswer: 3*(v + 5)*(v + 124824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/20 - 644\/(-5). Suppose -2*o = -3*c - a, -4*o + 294 = o + 2*c. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, -2\/21, 4, 105, -0.5, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b30b (base 15) in base 10?\nAnswer: 88436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16738 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315 = -12*o - 30*o + 21 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613259977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 116, -172, 1 in descending order.\nAnswer: 116, 1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of -u**5\/60 + u**4\/4 - u**3\/3 + u**2. Let p be (-2 - 1) + 24*1. Suppose 17 + 88 = p*g. What is l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -4  (c) 1\/5  (d) -14222\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-3))\/(-3)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 6, 5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o + l + 5 = 0, -o + 5*l + 7 = 0. Suppose o*d + 4 = 12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.6 in -5, 1.4, 7, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 10*g + 42. Let u(c) = 47*c + 166. What is -4*u(r) + 18*z(r)?\nAnswer: -8*r + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(-p - p**2 + p)*(-3*p - 1 + 1).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 27022*d - 132. Let s be k(6). What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -9.6. Let d = h - -0.4. Let c = -0.6 + -4.4. What is the nearest to -2 in d, c, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-14)\/8 - (-30)\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2090 + -1196. Let i = 1594 - a. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2409117489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4220 and 16458?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.85489 and 0.02697251?\nAnswer: 0.82791749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j + 2*j + 0*j + 11*j - 2*j - 53*j.\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**3 - 63*w**2 - 29*w - 67. Let q be i(32). Let p(m) = 21*m + q - 11 - 18. Let t(d) be the second derivative of d**4\/4 + 5*d. Calculate p(t(v)).\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6932*i*r - 1887*r + 1 with respect to i.\nAnswer: -6932*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -p + v + 8, -21 = -p - 2*v. Suppose 5*o - 2*n = 19, 0 = 2*o + o + 3*n - 24. Solve -o*k - p + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-15)*(0 - -5). Let r(d) be the first derivative of -d**4\/4 + 2*d**3\/3 + 2*d**2 + 2. Let m be r(b). Put m, -5, -4 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 31. Suppose -17 = f*l - 8*l. Suppose -l*z = -22*z + 390. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**3*d)\/d**3)\/(d**1\/(d*d**16)) assuming d is positive.\nAnswer: d**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/65847 and -131\/7614.\nAnswer: 3555738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12686973?\nAnswer: 3, 13, 325307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l - l - l**2)*(3*l - 2*l + l) - 5*l**3 + 2*l**3 + 2*l**3 - 4*l**2 - 2*l**3 + 4*l**2 + l + l**3 - l to g*l**2 + i*l**3 + x + f*l and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 3*p - 31. Solve -5*j - w = 15, 3*w = p*j - 0*w + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k**6\/10 + 3*k**5\/4 - 2*k**3\/3 - 21*k**2\/2 + k - 116. What is the second derivative of r(b) wrt b?\nAnswer: 36*b**2 + 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -5. Let t = 1.9 - v. Let n = 36033.2 + -36033. Which is the second biggest value?  (a) 3  (b) 0.1  (c) t  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 7 and -550053.4577.\nAnswer: -550046.4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7514*d**4 - 1824.\nAnswer: 30056*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 8*a**3 + a**2 - a. Suppose -8 + 4 = -4*s. What are the prime factors of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 131 = 3*l - 5*l, 0 = -3*w + 3. Sort l, -2, -4 in descending order.\nAnswer: -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 304314 by -563.\nAnswer: -304314\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 3*c + 5*q = 18, 0 = c + 3*q - 10. Suppose -m + 5*h + 26 = 0, 3*m + c - 9 = h. List the prime factors of m\/((-1)\/(-62)*2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2571.15g to tonnes.\nAnswer: 0.00257115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 13, -194, -759, -1862, -3683?\n\"Answer: -30*v**3 + v**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2\/9 + 340*y\/9 - 352\/3.\nAnswer: 4*(y - 3)*(y + 88)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49 + 158 - 64)*(-7 - 3*d + 7)*(4*d**4 + 4*d**4 - 2*d**4).\nAnswer: -810*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31837 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-186)\/60 - (-2)\/(-10). Suppose 5*w = 25, 4 = -k + w - h. Suppose 9*z - 44 = -2*z. Put -1, k, -4, z in increasing order.\nAnswer: k, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 35824729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -82*l + 5991. Let k be i(73). Put 40, -6, k in descending order.\nAnswer: 40, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -2, -18, 2 in ascending order.\nAnswer: -18, -12, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 341943244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 242 = 2*c + h, c - 90 = -2*h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u - 8 + 3*u + 3*u + 31.\nAnswer: -2*u + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {h: 1, i: 1, j: 4, c: 7, q: 2, t: 3}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/7 + 258\/21. Let n be q + (2\/2 - 2). Let c = -1 + n. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -30*y + 7. Let h(c) = -15*c + 4. What is 11*h(t) - 6*q(t)?\nAnswer: 15*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 110263 - -3?\nAnswer: 110266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -56*q**2 - 194*q + 11353. What is l(-16)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/340 - 9918\/(-2465)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10936.649 + 109.23.\nAnswer: 11045.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -146731599 - -1552091.\nAnswer: -145179508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7385 - 5886. Does w = 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*b**3 - 32*b**3 + 1 + 14*b**3 + 2*b as m*b + v*b**2 + f + l*b**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (4 + (-6 - -1))\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*i*r**4 - 36*i*r + 5956*i with respect to r.\nAnswer: 36*i*r**3 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 4:42 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a8156 + 8b?\nAnswer: -1a8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 118.7 + -125. Let o = -564790 + 564788. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 7*d**2 - 3*d - 2. Let f(v) = 20*v**2 - 9*v - 6. Let t(x) = 6*f(x) - 17*z(x). Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -925*i - 15 = -922*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -3*l**3 + l**2 - 4*l - 3574. What is g(3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2145670633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 38\/5*a**2 + 0 - 56\/5*a + 17\/5*a**3 + 1\/5*a**4 = 0.\nAnswer: -14, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 7*d + 174 = 4*y, -2*d - 3*y + 116 = 0. Suppose -3*k + 32 = -d. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140)*2)\/sqrt(4) - sqrt(420)\/(-1*sqrt(12) - sqrt(12)))\/(sqrt(28)\/((2*sqrt(24))\/sqrt(6))) + -4.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (0 + ((sqrt(343)*1 - sqrt(343)) + sqrt(343) - sqrt(343)) - (-2 + sqrt(343) + -5 + sqrt(343)))**2 + (0 + -4*sqrt(343) + -3)**2)*6.\nAnswer: -168*sqrt(7) + 41526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 24171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {k: 1, p: 6, g: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-7\/2)*l*l*l\/((((l*l*l**(-27)*l)\/l)\/l*l)\/l))**(-6) assuming l is positive.\nAnswer: l**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 1645 = -5152. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -59 (base 16) to base 14.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25160.52 nanometers in centimeters?\nAnswer: 0.002516052","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 174617724 and 4?\nAnswer: 174617724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 58*t**2 + 2.\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 252 (base 12) to base 16.\nAnswer: 15e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -13522410?\nAnswer: 13522414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -11*l**3 - 5*l**2 + 10*l + 41. What is the tens digit of x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 5:38 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5948*420\nAnswer: -2498160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(-15))\/((-4)\/(-18)). What are the prime factors of (12\/(-4))\/(n\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235646517 is divided by 510?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.3 + 4.3156. What is n rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 - 27. Put -1\/10, y, 9 in ascending order.\nAnswer: y, -1\/10, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -1301002?\nAnswer: -1301010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -2029\nAnswer: -4\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124448?\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -344.4 + 344. What is the smallest value in 6\/11, 2, -2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3260419 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-6)\/4)\/(-1))\/(-1). Let o be 507\/3 + (3 + -3 - -2). Let k = -169 + o. What is the closest to 1.3 in k, p, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from yyzyygygiyyygziiyyg?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5383\/680 - 1\/2040. Calculate the common denominator of s and -69\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -500 divided by -125\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 818025811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/((-2)\/(-2)))\/((-6)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-10)*(4 + -9). Suppose 5*k + 8 = 2*p, 8 = 2*p + x*k - k. Suppose -4*u = -m - 8, -m + p*m = 5*u - 3. Solve v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d + 62*d - 1551 = 0. Calculate the remainder when 702 is divided by d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18670*m + 174300 = -20994*m for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 149 - 149. Suppose o = -2*j - j + 108. What is the smallest common multiple of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**3\/7 - 250*c**2\/7 - 1200*c - 36000\/7 = 0.\nAnswer: -60, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63803417.\nAnswer: 101, 631717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -6.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 4 = 0, 4*t + 4*d + 4 = 16. Let l(w) = 1 - w - 6 + 3 + w**2. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + (-11 - -6) + 7 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h - 27*h**2 + 0*h + 65*h**2.\nAnswer: 38*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52 (base 7) to base 9.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13 and -34.1.\nAnswer: -47.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 - 7*t - 8. Let f be g(-5). Factor -8\/5*k**3 - 4\/5*k**f - 3\/5*k**4 + 0*k + 0.\nAnswer: -k**2*(k + 2)*(3*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -218832825 by 218832825.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/2, -0.1, 42\/5, 6, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, 22, -8 in descending order.\nAnswer: 22, 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (12 + -1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18008, -18244, -18638, -19190, -19900?\nAnswer: -20768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4)*t\/(t\/(((t\/(t**(-1\/3)\/t))\/t)\/t)))**(-24)\/((t**(-1))**9*(t\/(t\/(t*t**3\/t*t)))\/t*t**(-5)) assuming t is positive.\nAnswer: t**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 45\/116, -2\/3, 324?\nAnswer: 45\/116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5474.3 + 57.\nAnswer: 5531.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 <= 877\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -478 + 19*o + 320 + o. Let f be s(8). Solve -f*n = -1 - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5 - 6)\/((-3)\/69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**1*o**13 assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 103\/(-3 - -2). Let f = m - -916\/9. Which is the second biggest value?  (a) 4\/3  (b) -1\/3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3438022 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 11*q**2 - 12*q + 1. Suppose 3*c = a + 2, -2*c - c - 2*a = 4. Suppose c*f = -f - 12. What is the units digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2286 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/8*(-24 + 0). Let t be 18 + 0\/(3 - 1). Suppose -5*m = -t - j. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -25*c**3 + 123*c**2 + 215*c - 1046. What is y(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1653 + 1653 - 64*y**2.\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1.26 times 6.566\nAnswer: -8.27316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(3*3\/81). Let z be 5 + -8 - (-45879)\/g. Let b = z + 1704. Find the common denominator of 29\/9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 935703009 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2736.584 in 1, -4, 2\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 44*y - 10336 + 5174 + 5178 + (0 - 2 + 4)*(-2*y + y + 2*y) + y + 2 - 2.\nAnswer: 47*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -63918*w**4 - 2321*w**3 - 199823*w - 25 wrt w.\nAnswer: -767016*w**2 - 13926*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13542131549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 75*j = 77*j, -4*j = -5*w - 28. Let p(t) = -7*t + 5. Let l(c) be the third derivative of c**4\/3 - c**3 - c**2. What is w*l(b) - 5*p(b)?\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33598839.\nAnswer: 3, 137, 81749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 + 41. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1819 is divided by 504?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i = -8*i - 1512. What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -16, -26?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -670126*y**3 - 610286*y**2 wrt y.\nAnswer: -4020756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**3 + 256*o**2 - 7930*o - 16900 = 0.\nAnswer: -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 19 + -21 + -1 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113522901.\nAnswer: 3, 37840967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/55585 and 43\/466914?\nAnswer: 2334570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2976 + 2960. What is the nearest to 0 in -3, i, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 7:28 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634348741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37479 is divided by 36927.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5, 100, 2101?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -94*h**3 - 5*h**2 - 2. What is y(-1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, b: 1, p: 5, i: 3}. What is prob of sequence pibi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55\/88*120\/50.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 3*n + 8. Let p = n + 10. Let x(z) = 2*z**2 - 3. Let l be x(p). Solve 0*b + l = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 7*m - 4 - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1 + -5 + 1 + -126 + 89 + 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -42188.05, -5?\nAnswer: -42188.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*i**4 - 319*i**3*x - 3*i**3 - 545*i**2*x wrt i.\nAnswer: -48*i - 1914*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 29. Let i be x\/(-22) - (-18)\/(-99). Let h be 14\/(-33) - 2\/(-6). Which is the third biggest value?  (a) i  (b) h  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11580547369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7, j: 2, d: 5, p: 1, t: 1}. What is prob of picking 1 t and 3 a?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4690.117ug?\nAnswer: 0.004690117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a - 2*a - 3*a + 8*a + 0*a + 3. Let l(f) = -13*f - 5. Give -5*b(h) - 3*l(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(114) + 2*-2*sqrt(114) + sqrt(114))\/sqrt(6).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -24, -520, 2, -1 in increasing order.\nAnswer: -520, -24, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3460393245.12768383 - 3460393263. Let n = 0.12769683 - c. Let d = -18 + n. Round d to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.07 + 1.57. Let r = 2.4 - 1.4. Let y = r - p. Which is the third smallest value?  (a) -0.1  (b) y  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149991982 to the power of 1\/2, to the nearest integer?\nAnswer: 12247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -37640, -150554, -338744, -602210, -940952, -1354970?\n\"Answer: -37638*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.63 and 312177.\nAnswer: 312177.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 11*d**2\/2 + 18*d - 2191. Determine y(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 3. Suppose r + i - 7 = 0. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2905 + 574 = 63*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g\/(g*((g\/(g\/(g\/(g\/g**(-1\/20)))*g))\/g)\/g))\/g)*g)\/(g\/g**(-1\/10))*g**(2\/7)\/(g*g**(2\/3)))**13 assuming g is positive.\nAnswer: g**(-13819\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2224801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 9:48 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -223, 50, 791, 2234, 4613, 8162, 13115, 19706?\nAnswer: 28169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m - 2*l - 4 = 0, 5*m + 24 = 5*l - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, n: 6, a: 4, w: 1}. What is prob of sequence aw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -2*s + 20. Let z = -20 - -23. Calculate the smallest common multiple of 10 and (-4)\/12 + s\/z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4734, -19431, -44088, -78699, -123258, -177759, -242196, -316563?\nAnswer: -400854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22365, -43148, -62341, -79944, -95957?\nAnswer: -110380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let u(h) = -2*h**2. Let j(d) = 2*d - 13*d + 10*d. Determine j(u(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -8*v**2. Let a(m) = -7*m**2. Let r be -2*(22\/12 + (-4)\/12). What is r*g(x) + 2*a(x)?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 5 + 40 = 0. Suppose -m + 38 = -4. Let l = x + m. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 13) in base 5?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-41120)\/(-56) + 1\/(14\/(-4))?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**5 - 1558*s**4 + 823215*s**3 - 154614150*s**2 + 3772750500*s - 9948825000 = 0.\nAnswer: 3, 25, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 95 - 29 - 19 - 22 + 7*j**2 - 14 - 25*j. Give d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 1 + 180\/(-10))*-1. Suppose -3*u - 2*b + 10 = 0, 0*b = 4*b + n. Let s(h) = -h**3 + 7*h**2 - 5*h - 7. What is s(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/12)\/((1178\/19437)\/(16\/(-12)))\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -901 - 26*r + 451 + 431. Let w(q) = -2*q**2. Give w(n(y)).\nAnswer: -1352*y**2 - 1976*y - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vccvvnnavvnnnnavnn. Give prob of sequence nv.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvy when three letters picked without replacement from {y: 1, v: 1, m: 1, z: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 519617 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.678796 and -0.217279.\nAnswer: 0.461517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 79 + -136 - -41 - (-4 + 0 + -30 - 3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + (-16 - -35) + (-7 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -7*s - 3*i, -74147*i + 13 = s - 74144*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - 12*v + 396. What is the highest common divisor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11105*d - 19404 = 11091*d. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8175687?\nAnswer: 3, 13, 41, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 12 = -0. Suppose 4*z = p + 13, 2*p = -5*z + 7 + w. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 55?  (a) 0.24  (b) -2\/3  (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101220322 + 1?\nAnswer: -101220321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + k**2 + k - 1. Let d be ((-154)\/231)\/(2 + (-1424)\/714). Let t be -2*(d\/14)\/17. What is y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 + 27. Let v = p - -21. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*h**2 - 9*h**3 - 2*h**4 + 1 - 25*h**2 to the form d*h + j*h**4 + q*h**3 + y + t*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 6 + 6 - (-30 - -26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 14. Let s = v - -6.9. Let r = s + -0.4. Which is the closest to -2\/7?  (a) -5  (b) r  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -90012, -1 in descending order.\nAnswer: -1, -2, -90012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -15*v + 1. Let c be h(-1). Let x = c + 51. What is x rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198305897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*f - 7*f + 10*f)*(-1 + 1 + 3) + 4*f + 2*f - 5*f - 4 + 4 - f)*(7*f - f**4 - 3*f - f**4).\nAnswer: -36*f**5 + 72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/5, 3\/2, -2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21344)\/(-3480)*3\/(-2)?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*v**2 - v + 47*v**2 + 93*v**2 in the form a + x*v**2 + m*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 4. Let m = o + -5. Let b = -2.6 + -1.4. What is the closest to m in -0.4, b, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*z = 283*z - 65*z - 10010 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5324) - sqrt(5324)*2)\/(-1*(sqrt(2)*2 - sqrt(2))))\/((sqrt(11) - (-5*(sqrt(11) + sqrt(11)*1) + sqrt(11))) + (sqrt(88)*-1 - sqrt(88))\/sqrt(8)).\nAnswer: 11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 309616331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/4 + 28\/(-32). Let f = o + 17\/24. Put f, 0.3, 1 in decreasing order.\nAnswer: 1, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186604 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 364171 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-193 - 243 + 46)*(3 - 4 + 2)*(2*s + 3*s - 2*s) in the form r*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 548 = 51*s + 68*s + 5189 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 190 divided by -19\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - (-26)\/(-24))\/(-1). Let z = -21160.1 - -21160. What is the fourth smallest value in z, 1, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7764167 rounded to 3 decimal places?\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*j + 48*j + 2*j**2 - 6 + 328*j.\nAnswer: 2*j**2 + 257*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 5*y**2 - y + 5. Let d(j) = -4*j**2 - 4. Let c(q) = 4*d(q) + 3*m(q). Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -3*z - 2*z - 592, 0 = -n + 5*z + 306. What are the prime factors of n?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34371315.\nAnswer: 3, 5, 11, 23, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3957 - 3*m**3 - 3936 - 34*m**3 - m**2 to u*m**2 + q + l*m**3 + p*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/8)\/((-10)\/(-1535920)*2).\nAnswer: 3, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 2:27 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1060 - -1058.928. Round h to 2 decimal places.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 9*z**2 + 7*z + 7. Let a(o) = 4*o**2 + 3*o + 3. Let f(c) = 7*a(c) - 3*b(c). Let d(x) = -3*x. Determine d(f(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 5:38 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**3 + 7*o**3 - 11*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/31  (b) 1\/4  (c) -4\/19  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18120593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 9*t**2 + 676*t - 290. Calculate v(-31).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 882*k - 198*k**2 - 5*k**3 + 6*k**3 + 198*k**2.\nAnswer: k**3 + 882*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -a4d (base 15) in base 9?\nAnswer: -3161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from lttrtzzleleregl.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*d**2 + 96*d + 768 = 0. Calculate d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 5:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 137 + -141. Calculate the common denominator of s\/(-1) + (-14)\/112 and -149\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - -46. Let p(a) = -2*a**2 + 3*a + 2. Let o be p(3). Let h(j) = -j**2 - 11*j - 9. Calculate the remainder when s is divided by h(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - -1. Let c be (-12)\/15*(-1075)\/10 - -2. What is the greatest common divisor of c and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3d - 785?\nAnswer: -7c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 + 0.832063?\nAnswer: 480.832063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*w**2 - 13*w**2 - 76*w**2 + 13*w**2.\nAnswer: -134*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/75371 and 1\/23391.\nAnswer: 678339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*d + 4*d + 0 + 2)*(-3 - 2 + 3)*(1 - 4 + 1).\nAnswer: -12*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (66 - ((7 + (-6 - 3) - 3) + 4)) + 1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 4*u. Let n(b) = 190*b**2. Determine n(s(y)).\nAnswer: 3040*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.06  (b) -0.03  (c) -0.071  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (1 + 2) - (-43 + (19 - 54) - -38).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 11. Let s(a) = a - 2. Let p(n) = 3*n - 5. Let v(o) = -2*p(o) + 5*s(o). Let d be v(0). Sort d, c, 1.\nAnswer: d, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z - 3. Suppose s + 0*s + 10 = -5*f, -2*s - 5*f - 15 = 0. Give j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**4 + 213*x**3 - 2925*x**2 - 318477*x - 623598.\nAnswer: 3*(x - 37)*(x + 2)*(x + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3788\/8 + (-57)\/38 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) 10  (b) -31958  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3 = -2*n - 17, b = -n - 2. Find the third derivative of 10*m**3 + m**b - 2*m**3 - 2*m**2 - 3*m**3 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and -3374.2.\nAnswer: 168.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2014033 - -12?\nAnswer: 2014045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 12:52 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -282 = -2*r - p + 159, 4*r - p = 879. Calculate the remainder when r is divided by 138.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110000 + 1100100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-9) + -1)*(-80)\/100*12?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00933 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 52. Solve 2*s = -7*s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 328, 337, -2\/9, 1, 0 in decreasing order.\nAnswer: 337, 328, 1, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 22295669, 22295670, 22295671, 22295672, 22295673?\n\"Answer: q + 22295668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/5 - 3148668*f\/5 - 88159568\/5.\nAnswer: -4*(f + 28)*(f + 787139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5 and 0.1028213111?\nAnswer: 4.8971786889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 695 - 693. Find the common denominator of y*(-6 - 225\/40) and 2\/5 + (-198)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2 = -b + 1, -3*v + 3*b - 9 = 0. Let j be -1 + (-1 - v - 2). Let t be 28\/(-10) - (-6 - -4). Sort t, -2, j.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -15*n**3 - 2*n**2 - n. Let l be g(-1). Suppose -2*d + 3*d - 4 = -h, -l = -2*h - 5*d. Solve 1 = w - 4, 0 = -h*i + 4*w - 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77 > -103682\/1325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 99, -3983, 6 in increasing order.\nAnswer: -3983, 6, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3*d**2 - 27*d + 4. Let z be h(-9). Suppose 402 = 2*l - 3*a, 5*l - z*a + 6*a - 1005 = 0. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 51462?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.7 + 0.2. Let u = 0.172 - -0.028. Sort -4\/3, q, u.\nAnswer: -4\/3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -670 (base 8) to base 14\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/43866 and 115\/54.\nAnswer: 131598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 - -4)*(-2)\/4. Suppose -j + a = -2. Suppose 49 = 4*k - 5*p, -3*p + j*p + 51 = 3*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/1 - 5) + 4. Suppose k + 4*r - 3*r = -320002, r = -d. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45002, -45175, -45464, -45869, -46390?\nAnswer: -47027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 166079937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(-3)*r)*r)\/r)**(-47)*(r*r**(-2\/3))\/r**16 assuming r is positive.\nAnswer: r**(517\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1714, 3431, 5150, 6871, 8594?\n\"Answer: g**2 + 1714*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + -2*-2*sqrt(117) + sqrt(117) + 2*(sqrt(117) - 1*sqrt(117)))\/((sqrt(9) + sqrt(36)\/sqrt(4))*-2 + sqrt(9) + 1*sqrt(9)*-2).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + ((3*sqrt(19) + sqrt(19))*6 - sqrt(19)))**2.\nAnswer: 92*sqrt(19) + 10055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -28*s**2. Let r(c) = -32640*c - 2. Give r(l(x)).\nAnswer: 913920*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -3*x - 2*x - 107, -61 = 2*i + 5*x. Let g = -52 - i. Let u = -20 - g. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 2. Let i(h) = h - 1. Let r(v) = -13*i(v) + 6*x(v). What is the remainder when 23 is divided by r(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -7.99. Let x = 9.01 + m. Let h = 9.0001 - x. What is h rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 9, t: 8, z: 2}. Give prob of picking 2 r.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -1160*v**3 + 1508*v**2 - 3016. Let a(w) = w**3 - w**2 + 2. Give 6032*a(q) + 4*f(q).\nAnswer: 1392*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 187 = 4*u - 2*u, -5*l + 205 = 2*u. What is the second derivative of -84*x + 145*x + 105*x**5 + 61*x**5 - u*x + 40*x**5 - 3 wrt x?\nAnswer: 4120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13501555 (base 6) in base 11?\nAnswer: 294019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*o - 10 - 39. Calculate the smallest common multiple of 2 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of n**2 - 18071*n + 320486 wrt n?\nAnswer: 2*n - 18071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/6 + 2\/(-3). Suppose -4*k = 2*u - 20, -2*k + k + 4*u + 5 = 0. Suppose -k*a - 20 = -a. Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5407 divided by -33107\nAnswer: -5407\/33107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 753186.5m in kilometers?\nAnswer: 753.1865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 18 = 2*g. Let q be g\/4*(-8)\/12. Is 17\/((-1)\/15*q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*d + 11*d - 1785 = 0. Calculate the greatest common factor of d and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 13675200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/50*13650\/(-156)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3698 by -43.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -3\/13  (b) -1510  (c) 1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 - 12 - k**2 + 3 + (8*k + 8*k + 7*k)*(5*k - 2*k + 2 - k).\nAnswer: 45*k**2 + 46*k - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 35*p**2 + 11*p - 388. What is t(35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*w + 27*w - 87*w = v - 28*w - 2, 20 = 5*w for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r**3 - 54*r**2 + 6*r + 254. Determine b(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29473746103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + g. What is the remainder when 6 - (-155)\/(11 - 6) is divided by j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -u - 20. Let h be (-4)\/10*10\/(-8). Which is the biggest value?  (a) u  (b) 0.09  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -375 - -995. What is x rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 10*c - 6. Let n be u(9). Let h = -3 - n. Calculate the lowest common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 71*z**4\/12 + 4*z**3\/3 - z**2 - 2*z + 1. Find the second derivative of d(m) wrt m.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -1 - 14*p**3 - 3 + 4*p**2 + 13*p**3. What is x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 642 + -307. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 7:17 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -3*u - 14. Let o(c) = c**2 + 7*c - 6. Suppose -4*r - l = -223, 4*l = -r + 5*r - 248. What is the remainder when r is divided by o(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*w - 29*w. Let p(t) be the first derivative of -1\/20*t**5 + 1\/12*t**3 + 4 + 0*t + w*t**2 - 1\/24*t**6 + 1\/16*t**4. Factor p(y).\nAnswer: -y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 49*g**2 + 2*g + 3. Let n(l) = -49*l**2 - 3*l - 2. Let h(d) = -2*n(d) - 3*w(d). Differentiate h(r) with respect to r.\nAnswer: -98*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -2. Let j(a) be the third derivative of -a**6\/60 - a**5\/15 - a**4\/12 + a**3\/3 - 3*a**2 - 3*a. Calculate j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 4*a - 40. Let s be g(10). Let i(x) = s*x**2 - 3 + 7 + 1 - 12*x**2. Let b(t) = -4*t**2 - 3. What is 7*b(n) + 4*i(n)?\nAnswer: 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -55 + 54.6. What is the closest to 1 in g, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2266808 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5239997 and -0.5.\nAnswer: -2619998.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 243 - 26. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-40)\/48))\/((-148)\/80 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79715 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0832 + -0.9122. Let x = -0.171 + w. Which is the smallest value?  (a) -0.4  (b) x  (c) -0.5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7800 and 52170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-18)\/4)\/(-14 - -17). Let z = -1.3 - -0.3. Put -2\/13, z, n in increasing order.\nAnswer: n, z, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 134\/387 - -38461\/8514. Calculate the common denominator of r and 29\/1124.\nAnswer: 12364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10\/40)\/((-3)\/8))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 4*l. Let o(b) be the second derivative of -5*b**4\/24 - 24*b**2 - 19*b. Let d(g) be the first derivative of o(g). Determine d(f(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/5 - 24\/(-32)*8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 11:49 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3)*(-3 - 10 + 4)*(-4*w**5 - 5*w**3 + 5*w**3).\nAnswer: -108*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 + -1.2. Let r = 9897136\/19 + -520553. Let h = 349 - r. Which is the biggest value?  (a) q  (b) h  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 16. Let u(b) = 2*b**2 - 4*b - 4. Let a(y) = -2*y + 9 - 4*y**2 + y + 10*y. Give m*u(f) - 4*a(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 17324*k**3 + 4*k - k**2 + 16 - 8673*k**3 - 8663*k**3 as r + o*k**3 + q*k + l*k**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 287 and 248255?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/2528 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -75112 + 106974342.\nAnswer: 106899230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, c: 4, d: 1}. Give prob of picking 1 d and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -12. Suppose 0*j - 4*j = -d. What is the units digit of (j\/(-6))\/((-9)\/216)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -6. Let i = m + -0.8. Let q = i - -0.8. Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -80927*n**4 - 54077 wrt n.\nAnswer: -323708*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - 1 + 1 - 1 + 1 - 2*d + (0 + 3 - 1)*(-4*d + 3*d + 3*d) - 4*d + 3*d + 2*d + 19*d + 96*d + 67*d.\nAnswer: 184*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 20 + 0 = -2*i, r - 3*i - 17 = 0. Let q(l) = 14*l**r - 16*l + 4 + 4*l**2 + 3*l - 7*l**2 + l**3. What are the prime factors of q(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*h**4 - 96*h**3 + 764*h**2 - 2256*h + 1584 = 0. What is h?\nAnswer: 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -75\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-6)*-4*3\/264\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**2 - r + 8019*r**3 + 1 - 4092*r**3 - 4007*r**3 to f*r**2 + m*r + u + v*r**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(13) + sqrt(52)\/sqrt(4)) + -3 + (sqrt(104)\/sqrt(8))**2.\nAnswer: -12*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/(-32)*2\/6. Suppose -4*f - 20 = -3*q, -5*q = -3*q + f - 6. Suppose 0*o + 7\/4*o**2 - r*o**5 + 1\/4*o**3 - 1 - 3\/4*o**q = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 496*l + 4. Let h(z) = -96*z - 1. Let b(f) = -11*h(f) - 2*s(f). Let q(n) = 4*n**2. What is q(b(u))?\nAnswer: 16384*u**2 + 1536*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 158, 401, 816, 1493, 2522, 3993?\nAnswer: 5996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 25*h + 1. Calculate b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27 - -30) + 303\/(-99))*-11*(-57)\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -443104 + 2?\nAnswer: -443102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -14629.22 times 3\nAnswer: -43887.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**7\/10080 + k**5\/480 + k**4\/6 + 7*k. Let b(c) be the third derivative of l(c). Determine j, given that b(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23006 times 0.2\nAnswer: 4601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3728, 3720, 3698, 3656, 3588, 3488, 3350?\nAnswer: 3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-686)\/(-76) + -9)*4\/(-1)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 m, and 1 x when four letters picked without replacement from {w: 4, t: 3, m: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 6 - 24*l**3 + 12 + 16*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + q + 2*q = -57, 15 = r + 3*q. Let c = -37 - -73. What is the greatest common divisor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*d - 3358 = 0, 0*d + 2 = 2*d. Suppose -a - 4*a = -2*b - 1863, 3*a - m = -2*b. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (0 - (-4 - (-9 + 1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 78*m**2 + 1513*m + 278. Calculate c(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136124 is divided by 748.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -68, -10, 4, 5, 3 in ascending order.\nAnswer: -68, -10, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*-4)**2*1.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 at most -32008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 4\/13  (c) -0.1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.6 - 0.6. What is the closest to 0.1 in -1\/4, c, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 62, -9, -206, -523, -954, -1493?\n\"Answer: t**3 - 69*t**2 + 129*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36989 is divided by 18479.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17)\/(-2)*-1*(-6444)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 118 = 2*t - 4*i, -5*t - 3*i + 295 = 0. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 3*j - 32, 4*n + 2*j = -738 + 726 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + (-5)\/5)\/5. What is the closest to -1\/11 in y, -4\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 + 24?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a microgram in nanograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 293.5062 decades?\nAnswer: 35220.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3353 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 2*n - 3*m - 28881, -m = -4*n + 28891. Let k be (320\/(-48))\/(38\/42 - 1). What is the tens digit of n\/k + ((-6)\/(-10))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-2) + (-156 - -156). Sort -37, q, 6 in ascending order.\nAnswer: -37, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(343)*-2)\/((sqrt(84) - sqrt(84)*-1)\/sqrt(12)))\/(sqrt(168)\/(sqrt(486)*2)).\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (16\/(-6))\/((-45)\/2160).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54492 and 26529?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence opq when three letters picked without replacement from {a: 2, o: 2, q: 3, k: 3, p: 1, g: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -13. Let w = h - 4. Suppose -w*v - 16 = 0, t + 2*v = -3 + 1. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 2656?\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(-6 + 2 - -5). Let n(k) be the third derivative of -3*k**2 + z*k + 9\/8*k**3 - 9\/32*k**4 - 1\/480*k**6 + 3\/80*k**5 + 0. Solve n(t) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 127 + -121. Which is the nearest to 1?  (a) 0  (b) v  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 9*x**2 - 53*x + 28. Is 14 a factor of r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 255088349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 2.05. Let d = o - -0.45. Suppose -2*a + a - 5 = 0, -3*j - 5*a = 34. What is the biggest value in d, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84169641.\nAnswer: 3, 28056547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3396415201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22427*t**2 + 754*t + 105457231 wrt t?\nAnswer: 44854*t + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 0*z**5 + 0*z**3 - 1\/15*z**6 - 1\/5*z**2 + 2 + 1\/5*z**4 + 0*z. Factor i(o).\nAnswer: -2*o*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dulbvccld. Give prob of picking 1 u, 1 v, 1 c, and 1 d.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s - 4*s + 0*s + (-24 - 3 - 10)*(-4*s + 6*s - 3*s) as o + n*s and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 4*j + 14. Let o be (-2 - -1)\/(j\/14). Solve o + 2 = -r - 2*k, r - 3 = 5*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 + -0.1. Let m = 17\/30 - 1\/15. Let n = -0.02 + -0.38. What is the closest to 1 in n, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -1  (c) -0.688966\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u + 41. Calculate v(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28458550, 28458552, 28458554, 28458556, 28458558?\nAnswer: 28458560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -400.57 + 416. What is g rounded to one dp?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11807070 >= 11807073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 17*l**2 + 20*l - 31. Let q be 13\/26*(-1)\/((-1)\/36). Let o be f(q). Solve 4*k - 2*x - 11 = -37, 30 = -3*k + o*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(51\/(-44) - (-5)\/4). Let r(d) be the first derivative of -3*d**2\/2 + 8*d + 1. What is the tens digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1618 + -1618. Let k(y) be the second derivative of 13\/5*y**6 - 4\/3*y**5 - 9\/7*y**7 + 2\/9*y**4 + x*y**2 + 7*y + 0*y**3 + 0. Find d, given that k(d) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 52260.13 grams?\nAnswer: 52.26013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*1*sqrt(176) - (sqrt(176) - (1 + sqrt(176)) - sqrt(176))*-1) + -5)*3)**2.\nAnswer: -864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-3 - 3\/(-3)). Let n be (6\/u)\/((-3)\/(-2)). Solve -4*d - 28 = -n*j, -4*j = 3*d - 0*j - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -48761, -46095, -43429?\n\"Answer: 2666*i - 51427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 283713 and 1071?\nAnswer: 5957973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 9 = 19. Let k = -4 - b. What is the smallest common multiple of k and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -729366*g = -729428*g + 3286 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 4*p**2 + 117*p - 450. Let d be r(4). Solve 2*c + 5 = -g, 3*c + d = 3*g + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, j: 7, y: 2}. What is prob of picking 1 u and 1 j?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2272  (b) -1\/7  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -122*o**2*u**3 + 87269*o**2*u + 99*o*u**3 - 2*u**3 + 2*u**2 wrt u.\nAnswer: -732*o**2 + 594*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.8689906 milliseconds?\nAnswer: 868.9906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5 = 0, -10*g = -15*g + 4*c + 1730. Calculate the greatest common divisor of g and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6 = -k + 20, 0 = -5*k + i + 142. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2228)\/(-200520)*12\/(-9)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - -2) + 0\/(-4). What is the nearest to j in -4, -18, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 10 - (10 + (2 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v + 15 = 0. Suppose 0 = v*j + 4*q + 13000012, j + 4*q = -q - 2600015. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2330122 (base 4) in base 12?\nAnswer: -6b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67440 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -48, 0, 3, -3 in descending order.\nAnswer: 3, 1, 0, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -6*a**2 + 5*a + 5. Let z(n) = -n**2 + n + 1. Let d(w) = -2*o(w) + 10*z(w). Let k(m) = 0*m + m - 3*m. Determine k(d(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 245 - 465. Let o be c*((-13)\/(-5) + -3). Suppose -2*r + 0*z + o = z, -4*r - 3*z = -180. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 6*q + 405. Let v = q + 546. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 15*j**2 - 14*j - 2. What is m(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of -y**9\/75600 - y**8\/33600 + y**7\/2520 - y**6\/1200 + y**4\/12 + 8*y. Let s(n) be the third derivative of x(n). Factor s(m).\nAnswer: -m*(m - 1)**2*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 1:50 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f. Let u(b) be the second derivative of 0*b**3 + 8*b + 0*b**2 - 1\/6*b**4 + 0. Determine u(r(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -33b9 (base 12) in base 5?\nAnswer: -141012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 2*m**5 - m + (-5*m**5 + 2*m**5 + 4*m**5)*(4 - 3 + 1) + 12*m**5 - 28*m**4 + 28*m**4 - 2 + m**5 + 2.\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.9 - -1.8. What is the closest to r in -4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/10  (b) 12  (c) -2\/279  (d) 81.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 135*k**2 + 109*k + 6. Let w(c) = -135*c**2 - 110*c - 7. Let v(d) = 6*w(d) + 7*x(d). Find the second derivative of v(o) wrt o.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 227331.\nAnswer: -1\/227331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17 + 46 + 7)*(8*g**3 - 19*g**3 + 6*g**3 - g) to the form b + h*g + v*g**3 + m*g**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*s = 14*s. Sort 4, s, 1\/4 in ascending order.\nAnswer: s, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221 divided by 15732\nAnswer: -221\/15732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**5 + 159*i**4 - 201*i**3 - 2031*i**2 + 4014*i - 1944 = 0?\nAnswer: -54, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*i = 423*i - 7105 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 58*x - 48 = 0. Which is the third biggest value?  (a) x  (b) -2\/7  (c) 3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 881611 or 881610?\nAnswer: 881610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 3:35 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 11*n - 1690. Suppose 5538 = 607*s - 394*s. What is the greatest common divisor of n and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - g**2. Let i be (-8)\/60 + 2\/15. Suppose v + 7*v - 16 = i. Let l(c) = -3*c**3 - 2*c**2 - 2. Determine v*q(x) - l(x).\nAnswer: x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 + 670785*b - 21460000.\nAnswer: -5*(b - 134125)*(b - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4631 and 0.12037.\nAnswer: -557.43347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i + 18*i**2 + 18*i**2 + 0*i in the form x + b*i**2 + o*i and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2148754 is divided by 29843.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 2:45 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 + 14*q**2 - 39 to w*q**2 + u*q + s and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 402 + -425. Let x(l) = l**3 + 23*l**2 - 54*l + 43. What is the thousands digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 = -i - 4*x + 50, 944 = 4*i + x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 120 + -1066a?\nAnswer: -1054a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, z: 3, b: 2, l: 2, v: 1, h: 2}. What is prob of sequence bvh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58 - -63. Suppose 20 = 4*q + 2*h, -3*h + 0*h = 6. Let m(g) = -g - g**2 + 5*g + q + 0*g**2. Calculate m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {u: 4, e: 2, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 8*s - 96 = 0. Does 7 divide s\/(-18)*(-180)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -332589735 - -332589715.0000013. Let h = -31 + 51. Let a = h + t. What is a rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 524809\/4080 + -17023\/102. Let s = 869\/20 + o. Calculate the common denominator of ((-4)\/(96\/76))\/(-1) and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 11\/(-3) + 2. Let t = s + 28\/15. Let l = 4 + -5. What is the third smallest value in l, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2954 equal to 2956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1289 + 3943\/3. Find the common denominator of c and (-37 + -2 - -2)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of 2*w**2 + 0 - 4*w - 2\/3*w**4 - 1\/6*w**3 + 1\/20*w**5. What is the tens digit of t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2 = f - 1, 2*f - 38 = -2*o. Suppose 3*g = -f, 2*x + 0 = -2*g + 2. Let m(b) = -b**2 + 5*b + 6. Let u be m(x). What is u rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*n + 16*n. Suppose 4*p + 20 = n, p - 88 = 4*y - 3*p. Let i = -19 - y. What is the remainder when 47 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5784066 is divided by 556.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 120.486 to the nearest integer.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0*w*w)**42 assuming w is positive.\nAnswer: w**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 36707387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 9:06 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1203508549633 and 0.07.\nAnswer: 1203508549633.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -11109*w - 10. Let f = -107 - -106. Is b(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -17\/3. Let i(f) be the first derivative of 4*f - m*f**3 + 3 + 3\/2*f**4 - 3*f**2. Factor i(h).\nAnswer: 2*(h - 1)*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -26479841, -26479842, -26479843?\n\"Answer: -a - 26479840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/26 and -23\/1982.\nAnswer: 25766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 100 = -3*x. Suppose 4*w + 622 = 2*t, -27*t + 463 = -3*w - 22*t. Calculate the remainder when 46 is divided by 5\/25 - w\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 - 1977180*d**3 + 977320073950*d**2 - 9773052451500*d + 24432507555625.\nAnswer: (d - 988585)**2*(d - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2388312 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8d8a78 (base 14) to base 11.\nAnswer: 27a694a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**4\/2 + 223*v**3\/2 - 670*v**2 + 250*v.\nAnswer: v*(v - 5)*(v + 50)*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -12 - 3, -v = 3*g. Let u be (-12)\/(-2)*(-2)\/3. Suppose 5*a - 5 = -3*x - 0*a, 5*a = 5*x + 45. Sort x, u, g in ascending order.\nAnswer: x, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11061693.\nAnswer: 3, 1229077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 66*r - 4816. Let m be u(73). Let w(q) be the second derivative of 0 + 15\/4*q**4 + 5\/3*q**3 + 3*q + 0*q**m. Let w(p) = 0. Calculate p.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/17  (b) -3\/5  (c) 0  (d) -10\/13  (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -18 + -3 + 0 + 506 + -520\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -22. Let h = 3\/10 + 6\/5. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183141 is divided by 729?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 126 + -123. Suppose -3*n + 4*i + 6256 = n, b*n = i + 4698. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + 22*q**2 + 3*q + 68. Let m be o(-22). Solve i = l - 1, i - 2 = -m*l + 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1534317 is divided by 3350?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**2\/4 - 1005*i\/2 + 2015\/4.\nAnswer: -5*(i - 1)*(i + 403)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4605 = 758*g - 4491 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 1 - 8*a**2 - 8*a + 1 + 5. Let u(p) = -17*p**2 - 17*p + 15. Let d be 6 - (-3186)\/30 - (-1)\/(-5). Suppose -116*m - 24 = -d*m. What is m*u(n) + 13*x(n)?\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 1:35 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 4*p - 6. Calculate the remainder when p is divided by -2*((-3)\/2 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2.94, 3, 1\/6, 2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15585?\nAnswer: 3, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.04 or 12\/28487?\nAnswer: 12\/28487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -4*y - 14, -3*b + 8*b = -5*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 4*c - 2*c)*(2*c**2 + 4 - 4) + 3*c + c**3 - 3*c + 2*c**3 - 2*c**3 + c**3 + 2 - 2 + c**3 - 2*c**3 + 8*c**3 + 4*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1507, -4887, -10161, -17329, -26391?\n\"Answer: -947*s**2 - 539*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 188579590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*z + 51*z + 54*z - 151*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 97600400 and 680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -301 + 279 = 22*k. Let l = -1.9 - -2. Let z = l + -0.6. Which is the biggest value?  (a) z  (b) k  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t**3 - t**2 + 2. Let r(f) = 16*f**3 - 5*f**2 + 11. What is -2*r(i) + 11*x(i)?\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 3*z**2\/2 + 14. Let n(x) be the first derivative of -3*x**2\/2 - 1. Determine n(f(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -98, 7, 91 in ascending order.\nAnswer: -98, 7, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2. Let d(h) = 2*h**2 + 4*h + 1. Give c(j) - d(j).\nAnswer: -3*j**2 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61.2 - 61. Let q = -0.13 - -5.13. Let a = q - 2. What is the closest to a in i, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -10*a**2. Let d(y) = 168*y**2. Determine u(d(o)).\nAnswer: -282240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7 - -1) + ((-31159)\/2397 - -5). Is l <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 - -3967)\/5 - (-4 + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -43898 in ascending order.\nAnswer: -43898, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1137, -1144, -1161, -1194, -1249?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.4, 8, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28960 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-9))\/(4\/42). Let w(j) = 5 + 0 - 1 + j**2 - d*j. Let o be w(5). Let p(h) = 7*h - 3. Let m(y) = -13*y + 6. What is o*m(l) - 11*p(l)?\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 80923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7722 less than 7741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10209131 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -72457 >= -72458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.76991 - 14?\nAnswer: -14.76991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + -2 - sqrt(612) - sqrt(68)*-1) + (sqrt(4131)*-2 + sqrt(51))\/sqrt(3).\nAnswer: -15*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 41*h**2 + 88*h + 90. Calculate the smallest common multiple of n(-43) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.25*0.163394.\nAnswer: -0.0408485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 320 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -557.11 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 13, 57, 139, 271?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50683.977 - 50647. Let u = k - 37. Let t = -0.022927 - u. What is t rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1999973710?\nAnswer: 2, 5, 7, 4081579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 - 73 + 135*z - 407*z + 142*z + 132*z.\nAnswer: 2*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*s = 26. Let h = s + 10. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -36 - -40. Suppose -s = -2*m + 6. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -8. Let o = -6 + g. What is the first derivative of -3 - o + 2*b + 1 + 2 wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecmxcccmc. What is prob of sequence mmx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5 = -0*r - 4*b, 5*r + 2*b - 3 = 0. Let i be (2 - 4) + r - 2. What is the tens digit of (i\/(-2) + -2)*-48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/245, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -289 - -293. Suppose -r*m - 4*m + 768 = 0. Calculate the remainder when m is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 - 3*v**2 + v + 6. Let o be r(-9). Suppose 4*q - o + 240 = 0. Calculate the highest common factor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 60*j**2 + 2709*j + 2646.\nAnswer: -3*(j - 42)*(j + 1)*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 412, 799, 1174, 1537, 1888, 2227, 2554?\n\"Answer: -6*k**2 + 405*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 4:42 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 413*s - 9. Let u(a) = -827*a + 15. Calculate -5*q(h) - 3*u(h).\nAnswer: 416*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.2 - -1.19999997. What is z rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a + 1. Give y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 4*n - 4. Let g(l) = 7*l - 7. Let f(h) = -13*h + 13. Let x(c) = 6*f(c) + 11*g(c). Calculate j(v) + 4*x(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 25*w**2 + 2*w + 2. What is the units digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*g**2 + 7*g**2 - 11 + 11.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33000 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 16*t**2 - 3*t + 3. Let g(i) = i + 9. Let r be g(-7). Suppose 5*n = -20, -5*v - 2*n = -6*n - 121. What is the remainder when j(r) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0*q + 12 = 0. Let k be ((0 - -2)\/4)\/(14\/84). Suppose 6 = 2*x + k*a, x - 4*a + 5*a - 4 = 0. Calculate the least common multiple of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + v - 69 = 0, 10 = -0*v + 2*v. Suppose 0 = -4*x + z + 108. Is 36 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 794528, 1589059, 2383590, 3178121, 3972652?\n\"Answer: 794531*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-three thirds of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -4*b - 2, -22*b = -20*b + 10*s + 32 - 136 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 21 - 36. What is the third derivative of -5*u**2 - v*u**3 + 32*u - 66*u + 35*u + 2*u**4 + 5*u**3 wrt u?\nAnswer: 48*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.3?  (a) -3\/4  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*a - a + 6*a - 45*a + 12*a + 53*a.\nAnswer: 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 229918*l + 2. Let o(f) = 2*f**2 - 10*f. Calculate r(o(h)).\nAnswer: 459836*h**2 - 2299180*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 - (59 + -34 + 31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6962239, 6962247, 6962255?\n\"Answer: 8*n + 6962231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55370450 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(12))**2 + 2 + sqrt(12) - (sqrt(972) + -2)**2)*5.\nAnswer: -4765 + 430*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqrqrq. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 53. Which is the biggest value?  (a) 2  (b) z  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-15))\/(6\/(-75)). Let z = 8 + q. Let i(c) be the second derivative of c**5\/20 + c**4\/4 + c**3\/3 - c**2 - c. Determine i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 64*b - 323. Let z be v(5). Let n(w) = -w**3 - 4*w**2 - 3*w - 7. Determine n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1147515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/10  (b) 0.3  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 10*k**2 - 11*k - 4. Let s be n(11). Put s, 3, -2, 0 in increasing order.\nAnswer: s, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/6*-2*7. Suppose -2*w + 7 = -c. Suppose -3*h + 9 = 0, 10 = -y + 5*h - 2. Calculate the remainder when w is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21.914 + -22. Round x to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3041037*p + 14485 wrt p?\nAnswer: -3041037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3104 = -19*a + 11*a. Let j = 3879\/10 - a. What is the common denominator of j and (-594)\/(-8)*6\/153?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 + (-1526)\/84)*(-1 - -1) - -33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162814745.\nAnswer: 5, 32562949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -48*g - 1. Suppose 4*l = -3*t + t + 28, -5*l + 5 = -5*t. Let h be (4 - 0) + 28\/(-5 + t). Is d(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5840251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/4473 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4*13\/((-6646536)\/3699) and -77\/30.\nAnswer: 23670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 4) + (6 - 0) - (-139 - -173).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**17)**(-28\/3)\/(h**25\/((h**(-1\/11)\/h)\/h*h)))**(7\/10) assuming h is positive.\nAnswer: h**(-42679\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**4 + v**3 - v. Let r(k) = -3*k**4 + 2*k**3 + k**2 - 2*k. Let o = -8 + 7. Let i(p) = o*r(p) + 2*m(p). Factor i(a).\nAnswer: a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 167\/123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**4\/4 - x**3 - 2*x**2 - 2*x + 33. Calculate the least common multiple of 8 and i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, u: 1, x: 6, j: 5, a: 2}. What is prob of picking 1 a, 2 x, and 1 c?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-78)\/(-66) + 4\/(-22). What is the units digit of x\/(((-15)\/9)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*d - 7*u, -4*d - 13*u = -14*u. Suppose -8*l + 4*l = 0. Let j = l - 0. Solve j = -q, d*b - 4 = 2*b + 2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*d**4 + 3102911*d**3*g + 34342188*g with respect to d.\nAnswer: -20*d**3 + 9308733*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*h - 19*h + 1496. Let w = h - -190. Solve -5*l - 20 = 2*q, -18 = 5*q - w*l + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3452259, -6904630, -10357003, -13809378, -17261755, -20714134, -24166515?\nAnswer: -27618898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 18 - 14 = 0. Let m(b) = -b**3 + 9*b**2 + 2*b + 8. Let w be m(o). Suppose -4*v + w = 28. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j = -j + 26850. What is j rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2933520 by 4.\nAnswer: -733380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -87.41 + 6.21. Let d = o + 76. Round d to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74.08 - 67.08. Which is greater: 0.068 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -0.01281?\nAnswer: -0.001281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70278434 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1540980506.\nAnswer: 2, 13, 73, 811897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*s + 5130 = -10573. What is the remainder when s is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2941*y + 2496 wrt y.\nAnswer: -2941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-7) - (-620)\/14. Suppose -5*p + 55 = s + 4*s, -4*p + 4*s = -z. Let m = -2 + p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 + -3. Let s = w - 53. Let o be 1\/((-15)\/(-9) - 2). Put 2, o, s, 3 in decreasing order.\nAnswer: 3, 2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in h**2\/3 - 109*h\/3 + 330 = 0?\nAnswer: 10, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 12:47 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 + -0.45. Let i = m + 0.425. Let s = i + -0.01. What is s rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.245*3.\nAnswer: 3.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((0\/(-32))\/(-7))\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/384 and 71\/84.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1736 = -18422963*x + 18423087*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15.8 and 0.4?\nAnswer: 6.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 5 + 1 + 2 - 297*r + 8 in the form j*r + o and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-12))\/((-60)\/225).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8789 or -9145?\nAnswer: -9145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 9107.606 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 7 + 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -15*h**2\/2 + 2*h - 23. Let l(b) = 7*b - 1. What is 13*l(u) + 6*s(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 12*x - 3. Calculate h(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s = -4*s + q + 3, 0 = -4*q + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/23, -1, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67566 + 67566 + 25*k.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2785*p**6 + 24*p**2 + 3?\nAnswer: -334200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = 2*n. Let h(r) = r**2 + r - 4. Calculate h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32672621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1383, 4, 1, -16 in ascending order.\nAnswer: -1383, -16, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhzhhhzhhzhzhzzzzzh. Give prob of sequence hh.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 390 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 7:07 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -2*r**3\/15 - 54*r**2\/5 - 1458*r\/5 + 26. Factor a(l).\nAnswer: -2*(l + 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**3 + 2*x**2 + 2*x - 33. Let k(v) = 10*v**3 + 7*v**2 + 7*v - 99. Give 2*k(q) - 7*s(q).\nAnswer: -q**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/3 - 5*b**3\/3 + 2*b**2\/3 + 20*b\/3 - 8 = 0. Calculate b.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 3*s + 3*s)*(11*s**3 - 100*s + 100*s) + (0*s**3 + s**3 + 0*s**3)*(-3*s**2 + 0*s**2 + s**2).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1259 + -596. Let f(t) = -z - t**2 + 1324 - 661. Let m(k) be the second derivative of -3*k**3\/2 - 2*k. Determine m(f(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*i - 7*c + 16, 15 = 5*c. Let p = i + 52. Let u = p - 24. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j + 124*j + 144*j + 18*j + 5*j + 3.\nAnswer: 291*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.34075643 to four decimal places.\nAnswer: 5.3408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + k - 1. Let f(o) = -2*o**2 - 10*o + 10. Let u(c) = -f(c) - 3*l(c). Let t be u(5). Differentiate -3 + 3*p**2 - t*p**2 - 10 + 8*p**4 wrt p.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296671090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-2\/9))**(-6)*(g**(-1\/14)\/g)\/g*g*g*g\/((g**(-1\/4)*g)\/g) assuming g is positive.\nAnswer: g**(-293\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15\/10)\/((-1)\/(-12)). Let g = j - 24. Let z(m) = m**2 + 6*m + 5. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -8659?\nAnswer: -8654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 107*m**2 - 266*m + 6698. Determine d(-110).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 5*s**2 + s + 2. Let z(x) = 2*x**3 + 9*x**2 + 2*x + 4. What is 11*q(b) - 6*z(b)?\nAnswer: -b**3 + b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15607*m**3 - 18*m**2 - 127767 wrt m?\nAnswer: -46821*m**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*d**3*h - 4050*d**3 - d**2*h + 2*d**2 + 66*h wrt h?\nAnswer: 5*d**3 - d**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 15*g - 23. Let u be y(16). Let x be 3\/(-21) - (-117)\/(-42)*-4. Let n = u + x. Solve l = -1 - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - t + 15 = 0, 3*v - 8 = 2*t - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11739 + 11851. Calculate the remainder when 120 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -9\/166920551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 23 = -1. Solve l*f + q + 5 = 0, f - q = -0*q - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186 = 5*c - 5*t + 2251, -3*c - 5*t = 1207. Let b = 793 + c. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 839539689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1302254 (base 7) in base 10?\nAnswer: -168893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010831195085 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (1083\/7220)\/(1\/(-8))*-8 + 0 + -9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-96)\/(-117) + 14\/(-91).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.19, -40, -5, 0.4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4)*d**(-3)*d)\/(d*d*(d\/(d\/(d*d**(-2\/5))*d))\/d)**(-6) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2174 in 1, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82202 is divided by 1749?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*n**4 - 50485*n**3 + 3033280*n**2 - 8113040*n - 1614720 = 0.\nAnswer: -8\/43, 3, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*o**2 + 2*o**2 + 0*o**2 as d*o**2 + f*o + m and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -c + 2 + 6, 0 = 5*c - 2*k - 5. Suppose 2*a - 3 = 3*p, c*p + 4*a + 8 = 23. Is 32 a factor of (p + 4 + 55)*(-16)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3287696 and 3287696 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from qfyqffqqy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 1855*n + 1543343. Give u(-832).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -36116 minus 0.083473?\nAnswer: -36116.083473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8455 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227 = -71*r - 85. Factor 0*p + 4\/3*p**r - 4\/3.\nAnswer: 4*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*i - 373*i + 8536 = -8118 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q**2 + 9*q. Let z(h) = 13*h**2 - 36*h - 1. What is -9*y(t) - 2*z(t)?\nAnswer: t**2 - 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**2 - 2*g + 1. Let v(f) = -5*f**2 + 3*f - 1. Calculate -2*v(w) - 3*x(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**12*o**(-11)*o*(o*o**14)\/o*o*o\/(o**43*o) assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 974, 5, 176 in decreasing order.\nAnswer: 974, 176, 5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -10071?\nAnswer: -1006a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 12:11 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - 1 - (0 - 2). Let w be 1\/(-2) + (-23)\/(-2). Solve 0 = -2*f + c*z - w, z - 6 = 3*f - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 23, -27, 1 in decreasing order.\nAnswer: 23, 1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/492 and 79\/68436?\nAnswer: 2805876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -152.46 - -140.4644. Let o = 12 + c. Round o to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69 + 355*s**3 + 32 + 37.\nAnswer: 355*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14164.5 + 14165. What is the biggest value in -0.11, -237, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 60?  (a) 5  (b) -0.047  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1797 is divided by 599.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281*w + 3711 = 96*w - 2949 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 13*f - 53826 = -9*f, 26898 = c + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (416 - 148*c**2 - 416)*(1 + 4 - 2)*(c - 2*c - 3*c).\nAnswer: 1776*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5.7 and 620.\nAnswer: -3534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -19*j**5\/5 - 113*j**4\/5 - 222*j**3\/5 - 178*j**2\/5 - 47*j\/5 + 3\/5 = 0.\nAnswer: -3, -1, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -171 + 168. Put 0.4, b, 0.7, 4 in descending order.\nAnswer: 4, 0.7, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1594 + 1588 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -0.0939.\nAnswer: 0.1878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11034 is divided by 11004?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-4212)\/432)\/((-69)\/(-184))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that u**3 + u**2 - 2*u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1410305 + 143?\nAnswer: 1410452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -40, -225, -610, -1291, -2364, -3925, -6070, -8895?\n\"Answer: -16*w**3 - 4*w**2 - 61*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 1. Let z = 40 + -35.8. Let p = z - a. Sort 5, p, 4 in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*c + 54791 = 0, -2*c + 32757 + 58580 = 5*x. Suppose 2*t - 4*h - x = -9*h, -3 = -h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/15 and 71\/1296.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -256 + 1373622?\nAnswer: 1373344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 8.3. Let m = 38.3 - -148.7. Let l = 190 - m. Which is the smallest value?  (a) l  (b) 2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 5*u**4\/24 - 5*u**3\/6 + 4*u**2. Let b(z) = 5*z - 5. Let v(y) = -5*b(y) + 6*f(y). Find the first derivative of v(k) wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - 0) + (30 - 23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/16*4*-3*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from kkqquikduu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7000 divided by -1750.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3300*o - 75276 = -995*o - 19956 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 3*y + 6, 5*j + 7*y = 9*y - 11. Let b(i) = -4*i - 1. Let o be b(-1). Let w = o - j. Solve -k = -2*k - w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.4, 2, -5 in descending order.\nAnswer: 2, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4982485.798 rounded to the nearest 100?\nAnswer: 4982500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 3. What is the remainder when 141 + m\/((-3)\/2) is divided by 20\/(-16) + 894\/32*188\/141?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -74*j**3 - 16*j**2 - 39*j - 33. Calculate the remainder when v(-2) is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*b = -6, 7*n + b = 8*n - 1. Let a = -13331\/10 - -1336. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-24 - -17) + (-1 - 2) + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 6*s**2 - 5*s - 8. Let a be y(7). Suppose 0 = a*x - 11675 - 235. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 - 15 - (-1 + 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -60 + 7 + 41 - (1 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 886179494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-16)\/20)*(-1)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*s + (-3 + 3 - 1)*(-2 - s + 2) + 2*s - 9*s - 2*s)*(6 - 1 - 1) - 12*s - 3*s + s to j*s + p and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33*b**4 + 24*b**3 - 75*b**2 + 18*b.\nAnswer: 3*b*(b - 1)*(b + 2)*(11*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 207, -4, -37, -3 in decreasing order.\nAnswer: 207, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007386387 to five decimal places.\nAnswer: -0.00739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 899 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 14.677, -0.4, 2 in ascending order.\nAnswer: -2, -0.4, 2, 14.677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 773537, 3094093, 6961693, 12376343, 19338049, 27846817, 37902653, 49505563?\n\"Answer: f**3 + 773516*f**2 + f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 93*q**2 - 122*q. Let u(l) = -47*l**2 + 61*l. Let x(t) = -11*u(t) - 6*v(t). What is the second derivative of x(r) wrt r?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, n: 1, c: 1, i: 3, q: 1}. What is prob of sequence illn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 11*t + 7. What is the smallest value in t, 0.2, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + ((5 - -5) + -7 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/11*(-1)\/(-2)*2124\/531\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 124*u**2 - 113*u - 131. Determine z(123).\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 4*j**2 - 3*j - 6. Let g be a(-4). Let o be 5*g*(-4)\/(-10). Let r = -5 + o. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34*c**4 + 56*c**3 - 114*c**3 + 45*c**2 + 60*c**3 wrt c?\nAnswer: -816*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255062824573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*p + 9*p + 266*p + 15*p**2 + 145*p.\nAnswer: 15*p**2 + 399*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-289)*17 + (-32)\/(-17). Let m(s) be the second derivative of 0 - 1\/2*s**4 + 3\/20*s**5 - 1\/2*s**3 + 3*s**g - 11*s. Factor m(t).\nAnswer: 3*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 212809970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 8:39 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*(-756)\/196 + (3 - 15)*-1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 10:58 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 3 + (2 - 2). Calculate the remainder when 23 is divided by 16*z*(-3)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*((-808)\/(-32) - 25). Suppose p - 13 = -3*r, -6 = -5*p - 3*r - 1. Sort 27, f, p in ascending order.\nAnswer: p, f, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -960.1 - -960.4. Let m = 2 + -2. What is the third biggest value in 0.08, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 50*z**2 + 279*z - 294. Calculate p(55).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.815, 4\/3, 0.2, 57, 0.5 in decreasing order.\nAnswer: 57, 4\/3, 0.5, 0.2, -1.815","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is -66060 less than or equal to -65899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4*r**3 - 27555\/4*r**2 - 30995416265\/4 - 50618535\/4*r.\nAnswer: -5*(r + 1837)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 70886, -982.\nAnswer: -982, -4, 70886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3584271 (base 13) to base 5\nAnswer: -13220341343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*o = 112, -h + 3*h + o + 122 = 0. Let k be (-30)\/4*h\/18. Is 5*5\/(k\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4 + 4)\/(-2))\/2. Suppose -2049 = -3*d - 4*u, r*d - 2*u - 1352 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9625 and 19250.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4453.6 - 4454. Which is the fourth biggest value?  (a) p  (b) -0.2  (c) 2\/11  (d) 9\/7  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of 16*t**3 + 87*t**2\/2 + 24. What is the second derivative of o(i) wrt i?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i + 33 = -27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 13812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - -1.2. Let l = 24 - 23.6. Let h = 0.7 + -3.7. Which is the second biggest value?  (a) h  (b) l  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - i - 3)*(0*i - 2*i + i) + 0*i**2 + 0*i**2 - 2*i**2 + 4*i - 4*i + 11*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 142599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - 6.4. Let m = f - -7.1. Which is the nearest to 0.1?  (a) m  (b) 5\/4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 36\/9 + (0 - 0). Suppose -5*i + l*i = -6. Suppose 3*b - i*b + 18 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 68*l*u**3 + 81*l*u**2*z - 9*l*u**2 + 4*l*z + 6633*l + 55130*u**3*z wrt z?\nAnswer: 81*l*u**2 + 4*l + 55130*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.1 and 0.2?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -435, -0.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 423.2315 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100 + 1001011000101010?\nAnswer: 1001011000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 708*z - 45*z + 908*z - 54*z.\nAnswer: 1517*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 380883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-198)\/42 - (-6)\/(-21))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1791.6162 to 1 dp.\nAnswer: -1791.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, q: 1, r: 6, i: 3}. What is prob of sequence imq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z**2\/2 + 13795*z - 27595\/2 = 0.\nAnswer: -5519, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4b2 (base 15) to base 16.\nAnswer: 42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -3, 12\/11, -0.2 in increasing order.\nAnswer: -3, -0.2, 12\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v*((v*v**5)\/v)\/v*v)))))\/v)**(-1\/16)*((v\/((v**16*v)\/v))\/v)\/(v\/v**(-10)) assuming v is positive.\nAnswer: v**(-437\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4\/63  (b) -88  (c) 2\/5  (d) 0  (e) 0.5  (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.24 - 8. Let g = 748 + -747.76. Let y = g - j. Which is the second smallest value?  (a) -4  (b) 1\/2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/150 and -63\/2900.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*x + 5*n = -130, -4 = 4*n. Suppose 6*o = x*o - 95. Solve 2*b + 3*b - o = -5*p, 5 = -p + 2*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d + 8 - d**2 + 2*d + 2*d. Let n be 456\/144 - ((-2)\/12)\/(-1). Suppose -4*z = -n*s - 27, -5*z + 19 = 4*s - 7. Determine c(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3\/3 - 379504*l**2\/3.\nAnswer: 4*l**2*(l - 94876)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n + 111*n - 41*n - 38*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/(-5)*(-1)\/(-1). Find the third derivative of -i*l**6 - 4*l - 2*l**2 - 4*l**2 + 4*l wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*s + 5*j, s - 3*j = -2*j + 4. Solve 3*p = -s*y - 25, 0*p + 4*p + 15 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*p - 4*x - 4 = -22*p, -5*p + 3*x + 29 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o. Let r(y) = y**2 - 176*y - 1860. Let t be r(-10). Let d(l) be the second derivative of -14*l + 0*l**3 + t*l**2 + 0 + 1\/12*l**4. What is d(b(a))?\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(((-21)\/27)\/7). Suppose 0 = -4*w + 6*l - 10*l + 44, q = 3*l. What are the prime factors of (-2 - w\/(-5))\/(1\/(-425))?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -118, -484, -1094, -1948, -3046, -4388, -5974?\n\"Answer: -122*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49017?\nAnswer: 3, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34024 - 2716 = -5*x. List the prime factors of x.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -128\/407589 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2)\/3*0. Suppose 0 = -3*r + 2*t - 21, 5*t = -8*r + 3*r - 10. Sort n, r, 4 in increasing order.\nAnswer: r, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 times 10560\nAnswer: 137280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -16\/43, 5?\nAnswer: -16\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 11*k**2 - 17*k + 2. Let m be q(-2). Let 2\/3*w + 1\/6*w**3 + m - 2\/3*w**2 = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -11. Let s = n + 6. Sort s, 4, 2 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {g: 5, y: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.31 - 4.81. Let s = 0.16 - 0.195. Which is the smallest value?  (a) -0.1  (b) s  (c) -3  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 9 - 5 - 173*c**3 + (-c**2 - c**2 + c**2)*(-c - 3*c + 3*c).\nAnswer: -172*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + 35. What is the remainder when 303 is divided by b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 - 3. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 945*l + 443*l**3 + 952*l - 1897*l.\nAnswer: 443*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k - 321 = -95*k - 9. Sort -3, k, -2, 0, -1 in decreasing order.\nAnswer: k, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5 = 2*t. Let r be 8 - (t - (-3 - 1)). Solve -2*x - 5*b + 10 - 1 = 0, -r*x + 2*b = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45034 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*l + 4*t - 104 = -10*l, -2*l + 2*l - 18*t + 296 = -190 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.265873l to millilitres.\nAnswer: 265.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2727933 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 2*d + 12. Suppose 0 = -17*a + 18*a - 16. Let g be q(a). What is g rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*r - 5*q, 4*q = -5*r + 3*q - 3. Calculate the lowest common multiple of 5 + (-3 - r\/(1*-4)) and 2\/4 - (-76)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34309171 divided by -1\nAnswer: -34309171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-6) - 188\/6. Let j be -4 - c - (1 + -1). Solve -2*s - 20 = -4*t, 4*s - t - 8 = -j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in -0.24, -0.3, -12, -5, -3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 10:11 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8485519?\nAnswer: 7, 601, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13160767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -1. Let c(d) = d**3 - 3*d**2 + q + 6 - 4 + 3*d. What are the prime factors of c(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 100*c - 1682. Give o(-85).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, -1, -6, 3\/7, -27.3, 29 in descending order.\nAnswer: 29, 4\/9, 3\/7, -1, -6, -27.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 3, 43429, 2 in decreasing order.\nAnswer: 43429, 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104)*3 - sqrt(104))*5 - sqrt(104)) + 6*(sqrt(104) + 3*sqrt(104) + sqrt(104)))\/((sqrt(392)*3 - sqrt(392))*1*2).\nAnswer: 39*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-6)*210\/45\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 141\/3427690 and 37\/630.\nAnswer: 30849210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 599 + -595. Which is smaller: 32\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 3*n. Suppose -l - h + 62 = -n*l, -3*l = -4*h - 165. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(162))\/sqrt(6) - sqrt(54)\/(sqrt(6)\/sqrt(3)))*-4)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3731.5 - 3731.4. Let h(z) = -3*z - 4. Let d be h(-5). Let i = d + -4. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1905 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -318.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 8*r + 4 = 0. Calculate the remainder when 15 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40100 and 15800.\nAnswer: 6335800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 9 - 5)*(4 - 4*x**4 - 4).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 238630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5041*w**5 - 22010*w**4 - 14440*w**3 + 38320*w**2 + 25520*w - 26912.\nAnswer: -(w + 2)**3*(71*w - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 22. Let r = 7 - m. Suppose 4*u - 81 = -5*h, u - r*u = -5*h + 11. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 444*f**2 - 164 - 17*f + 13*f - 452*f**2 + 170.\nAnswer: -8*f**2 - 4*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/24 and -4 + (((-4750)\/55)\/(-5))\/2?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4*s**3 + 8*s - 6*s - 12*s**3 to the form l*s**3 + d*s + p + t*s**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 739592340?\nAnswer: 2, 3, 5, 12326539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 - 2101?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*p - 2*u, 5*p - 22 = -0*p + 3*u. Suppose 4 = 4*n, -5*s - p*n - n = -53. Suppose 3*b + s = 8*b. Solve 5*h - b*h = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - n + 5. Let i(u) = -u**2 - u - 1. Let q(c) = -c. Let a(s) = -i(s) + q(s). Let l(g) = -5*a(g) + b(g). Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 2 - 1\/2*z**4 - z**3 - 1\/2*z**2 - z. What are the prime factors of m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216 a factor of 24\/(-132) + 2140810\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 55, 87, 129, 187, 267, 375?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/8 and (267\/(-16))\/((-6)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 8 = -4*t + 4*p, 4*p = 2*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 8*m**2 - m + 13. Let d be z(8). What is the greatest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/33 and 59\/249.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 212*z + 3 - 234*z - z + z - 2*z - 3*z + 0*z + 4*z + (4 - 4 + 1)*(5*z - 4*z - 3*z) - 7*z - 3*z + 5*z.\nAnswer: -30*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2480)\/310)\/((-1)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1273*n + 8 - 575*n + 159*n - 1686*n.\nAnswer: -3375*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 + 17. What is the greatest common factor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6128?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -7) + -11 - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - -29600)*(-8)\/(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -477\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 4.02. Let q = 88 - 87.9823. Let r = d + q. Round r to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p**5 - 5430*p**4 + 1826425*p**3 - 180071000*p**2 + 1024650000*p - 846400000 = 0. Calculate p.\nAnswer: 1, 5, 160, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 434 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 3*w + 4. Let m be t(4). Suppose 7*j - 6*j = m. Solve -4*k + 18 + 2 = j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -198*i - 198*i + 598*i - 201*i. Let b(m) = 14*m - 36. What is w(b(q))?\nAnswer: 14*q - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uibi when four letters picked without replacement from bhuhiihhssslssihi?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n = -2*n + 837. Let o = 2111\/36 - 440\/9. Find the common denominator of (-4)\/(-20) + n\/(-30) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -16\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z**2 + 84 - 13*z**2 - 84 + 12*z**2 + 22*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-600)\/1000*5\/2*-6 and ((-4)\/(-6))\/((-2)\/(-24)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 + -35. Let i(s) = -2*s - p - 5*s + s. Calculate the remainder when 52 is divided by i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-39)*((-18)\/(-15))\/(10\/(-25))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.6 + -0.6. Let z = -84.2 - -92. Let d = -8 + z. Which is the nearest to -4\/3?  (a) 3  (b) w  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86 - 82. Is m less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i. Let t(m) be the first derivative of 0*m**2 - 1 - m + 1\/6*m**3. Let c(a) be the first derivative of t(a). Calculate c(o(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 74?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from ckeocqccocqqcocqeocc?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of k**5 + 131*k**4 + 342*k**2 wrt k.\nAnswer: 60*k**2 + 3144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-1\/9)*v*v)\/v**5*v**(-4\/3)\/(v*v\/(v*v\/(v**(-1\/11)*v))) assuming v is positive.\nAnswer: v**(-409\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*q + 55*q = 4*d - 1277224, -2554511 = -8*d - q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h = -13 - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00044078 to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 3*o + 9. Let f(r) be the third derivative of -r**4\/24 + r**3\/6 - r**2. Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - (sqrt(96) - sqrt(96)*1 - sqrt(96))\/sqrt(8))\/((1*sqrt(60))\/sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 11182*c + c**4 - 43 - 11184*c - 15*c**3 to a*c**3 + q*c + s*c**4 + m*c**2 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9331 - 0.13.\nAnswer: -9331.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3607 - -3826. What is the remainder when k is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2781, -2770, -2755, -2736, -2713, -2686, -2655?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -45 and -10420.\nAnswer: 468900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -111*v**4\/4 - v**3\/3 + 114*v + 6. What is the first derivative of m(k) wrt k?\nAnswer: -333*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 8*s + 2. Let q be i(-8). Suppose -q*a + 0 = -10. Suppose 2*o - a*f = 189, 0*o = 5*o + f - 459. Is 92 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/9 + 140*w\/9 + 2450\/9.\nAnswer: 2*(w + 35)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/13)\/(180\/(-65)*180\/810).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -10637*d - 9150 - 9096 + 18246 as y*d + v and give y.\nAnswer: -10637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 4*c - 10)*(1 - 2*c**4 - 1 + (c**2 + 2*c**2 - 4*c**2)*(-c**2 + 5*c**2 - c**2)).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240698209.\nAnswer: 37, 6505357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 122457479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(-5))\/(5\/225). What is the tens digit of 1 + 5\/(15\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 158, 621, 1392, 2471, 3858, 5553, 7556?\nAnswer: 9867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + 2 - sqrt(325))*-5 + 4*(sqrt(325) + 2)**2 - -4*(4*sqrt(325)*1 + sqrt(325)).\nAnswer: 180*sqrt(13) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3754 (base 8) in base 11?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -147 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiissssiisisi. What is prob of sequence ss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 77, 94, -1 in decreasing order.\nAnswer: 94, 77, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 3. Suppose -4*r - c + 18 = -6, 8 = k*c. Suppose -4*s = 3*y, -3*s - 25 = -3*y - y. Sort r, -4, y in descending order.\nAnswer: r, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 14\/3, 6, -1\/940, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7824570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-8))\/(((-11760)\/96)\/(-49))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 696136 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77400.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 205277.598 microseconds?\nAnswer: 0.000002375898125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 489*g + 11*g**3 + 489*g.\nAnswer: 11*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*m + 183 = 5*x, 26*m - 24*m = 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 122\/21 - 36\/7. Let s = 0.1 + -0.3. Let t = s + 0.2. What is the third biggest value in -2, b, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 661351604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0, -2\/137?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + -1 - sqrt(13))**2 - (-2*sqrt(13) + 2) - (-6*((1*sqrt(91) + sqrt(91) - sqrt(91)) + sqrt(91)) + sqrt(91))\/((sqrt(70)\/sqrt(2))\/sqrt(5)).\nAnswer: -5*sqrt(13) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 7*w + 63. Let q be t(-9). Solve 3*y - y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + u - 205 = -4*u, 5*b + 4*u - 209 = 0. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1123, -2196, -3269, -4342, -5415, -6488?\nAnswer: -7561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z**2 - 5*z + 5. Let q be y(5). What is the highest common factor of 42 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10540170*b**3 - 10878002?\nAnswer: 31620510*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59, -0.2, 0, -3, -9\/7, 124.\nAnswer: -3, -9\/7, -0.2, 0, 59, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68394?\nAnswer: 2, 3, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 303, 1\/5, 3, -1, 2 in ascending order.\nAnswer: -1, 1\/5, 2, 3, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.03 and 34322.\nAnswer: 34322.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -18, -9, 2, 15, 30, 47?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**3 - 20*x**2 - 40*x + 6. Let t be v(-3). Sort -1, 1, -85, t.\nAnswer: -85, -1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*w + 35*w - 616. Calculate the remainder when 123 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1577*i - 2497*i = 44160 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 317*h + 5718. Calculate l(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3319749 and 60?\nAnswer: 66394980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {n: 6, u: 3, d: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2663 (base 8) in base 11?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k - 1. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/5 - 160746*h - 803729\/5.\nAnswer: -(h + 1)*(h + 803729)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3003438 - -5.\nAnswer: -3003433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c - 16*c - 8 = 0. Suppose -3*k + c*q + 150 = -q, 3*k + 5*q - 174 = 0. Calculate the remainder when k is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 426\/14 - (-51)\/(-119). What is the remainder when (-484)\/(-10) + (-12)\/z is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -21*y**3 + 32*y**2 - 8*y + 19. Let c(i) = -13*i**3 + 20*i**2 - 5*i + 12. Let b(w) = 8*c(w) - 5*j(w). Let x(n) = 2*n**3 - n + 5. Give -5*b(p) + x(p).\nAnswer: -3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2062506700 a multiple of 4880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -8, -3*f + 4*k + 4 = 6*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 109.46 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76 divided by -7065.\nAnswer: -76\/7065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 165063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 36 = 3*a - 4*b, -3*b = 0. Let l = 18 + a. Let f = l + 18. Which is bigger: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -293135*m. Let g(o) = 2*o + 42. Determine g(y(n)).\nAnswer: -586270*n + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o = -14*o + 20. Suppose u + v + 2*v = 167, -4*u + 634 = -o*v. Suppose -50 + u = 3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/7 + 2010\/(-938).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 9. Suppose -p*v + 3*k - 1 - 2 = 0, -5*v + 3*k - 3 = 0. Suppose 5*s + s = v. Solve s = -0*i - i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(30)\/(sqrt(10) - (sqrt(810) + sqrt(10))).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 24 + 10 = -5*z, 0 = 5*i - 2*z + 8. What is the closest to 0 in i, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 + u - u + (-3*u - 2 + 2)*(-4*u + u + u))*(-9*u + 4*u + 0*u).\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(3 - 2*p - 3)*(-4 - 4 - 3).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2683+2\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(12) - (sqrt(48) - sqrt(12))*2)\/((sqrt(72)*-1 - sqrt(72))\/sqrt(12)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2\/13 + 632*w\/13 = 0 for w.\nAnswer: 0, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*51\/9 + -2. Suppose -40 = -r - 5*b - o, -5*b + 20 = 0. Let n be ((-8)\/6)\/((-5)\/15). Put 0, r, n in ascending order.\nAnswer: 0, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -156?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 2*l**2 - 3. Let j be y(3). Let p(n) = n + 3*n + n - j*n. Let m(w) = 3*w. Give m(p(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 3*t - 6*t + (-t + t + t)*(-2 - 1 + 1))*(89*t - 44*t - 54*t) to the form g*t + b + u*t**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -134069523 - 2*o**3 + 134069523.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3 = -15. Let j(h) = -h + 0*h + 0*h. Let f be j(-5). Sort f, i, 4 in decreasing order.\nAnswer: f, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 784, 785, 786?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2 + 6*d + 3. Let g(s) = -3*s - 7. Let m be g(-9). Suppose 2 = u + u, -4*z + 4*u - m = 0. What is x(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1517 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6678292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 5, j + o + 2 = -4*o. Let g be (-4)\/2 + 384\/j. What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41395713?\nAnswer: 3, 43, 223, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15680 - -15669.779. Let q = -79 + 69. Let f = q - u. Round f to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*l - 107. Let f = l + -16. Let w = f + -4. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 419674, 419673, 419672?\nAnswer: 419671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l**3 - 2*l**2 + l. Let q(r) = 7*r**3 - r - 12*r**3 + 4*r**2 - 2*r**2. Calculate 7*q(m) + 6*v(m).\nAnswer: m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 49, 73, 97?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - l + 4*l - 180 = 0, -2*l + 280 = 3*p. Let s = p - -10. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 + 174*d - 48*d - 126*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2624\/3 + -1104698\/1263. Sort 2, -1\/4, -0.4, t, 5.\nAnswer: -0.4, -1\/4, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1\/a)**(-34))**36 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 7. Let i be s(-5). Suppose -i*u - 2*u + 108 = 0. Let g = -8107 - -8113. What is the highest common divisor of u and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*a - 105*a = -340 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t + 1. Let f(u) = 2*u - 1. Suppose 3*s + 7 = -5. Let w(c) = c**3 + 23*c**2 + 42*c - 3. Let y be w(-21). Determine s*f(v) + y*q(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 8*g**2 + 4*g - 57. Let t(m) = 41*m**2 + 22*m - 283. Calculate -11*a(u) + 2*t(u).\nAnswer: -6*u**2 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 3*j**4 + 50*j - 3*j**2 + 65*j - 113*j to the form w*j**2 + u*j**3 + q + b*j**4 + i*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omn when three letters picked without replacement from {m: 2, c: 1, l: 1, u: 1, o: 2, n: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 9*m. Let y(j) = -28*j. Calculate -14*x(k) - 5*y(k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1183201970 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n + 5. Suppose -5*o + 35 = -5*u, 0 = 2*o - 5*o - 5*u + 13. Let z = -2 - -7. Let h be (o\/z)\/((-3)\/15). What is t(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(6*(2 + (sqrt(931) - (sqrt(931) + -1*sqrt(931)))*5 + -1*(sqrt(931)*-2 - sqrt(931))) + -4))**2.\nAnswer: 21504*sqrt(19) + 8580352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-7 - -18))\/((-303)\/101) - 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g - 372 - 68 = 0. Let v = 36 - -17. Let j = v + g. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7569 or 6372?\nAnswer: 6372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2507427812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + sqrt(110) + 1*sqrt(110) + sqrt(110))*-4 - sqrt(110))\/(sqrt(160)*-2 + sqrt(10)).\nAnswer: -16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l - 1 - 2 - 2 - 13.\nAnswer: -2*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/sqrt(3))\/sqrt(10) + (sqrt(432) + 0)**2 + -1.\nAnswer: sqrt(3) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*o = -41*o + 4*u - 3, -3*u + 21 = -2*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*x - 81*x - 126*x.\nAnswer: -368*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10318 equal to 10319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 6. Calculate f(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 - (-3 + (11 - 1) + 1 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = 0, w + 6 = -2*w + 6*w + 9*r - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is -7 + -97130778?\nAnswer: -97130785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574*k - 3816 = 521*k. Is 42 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + -6*1*sqrt(425) + 5).\nAnswer: -60*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 34 = 9*a - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 11*w - 264. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 5  (b) 2  (c) 5.8  (d) -0.1  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 1. Give f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 + (5 - 7))\/(-3 - -4). Solve 0 = 3*w + 2*q + 16, v = w - 2*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*y - 272 = -238 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 9*g + g - 5*g - 21 = 0, -t + 16 = 3*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3416*r**3 + 2\/3*r**4 + 6563844*r**2 + 1795168669014 + 5605522776*r.\nAnswer: 2*(r + 1281)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**3\/2 - 2475063*i**2\/2 - 8662656*i - 7425126 = 0.\nAnswer: -825014, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398738 is divided by 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2591 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 658?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*r**2 + 9*r**2 - 4*r + 7*r**2 to the form u + q*r + s*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 29201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.032, 2, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 4*i + 381. Let b be i\/8 - 16\/(-128). Let z be (-3)\/(-12) - 6\/(-8). Solve -3*y - b = -z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 201 - 139?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 36 = -48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 460, 918, 1376, 1834?\n\"Answer: 458*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 + -84 + (0 - -1 - (24 + -17))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, q: 10, j: 2}. What is prob of sequence kkqq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 939*b - 48 = 938*b, 4*w - 68 = -3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629157 is divided by 314577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dhddldhlhdhhhdldd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/5886704 and -51\/63734?\nAnswer: 64753744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 180166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - 6753.\nAnswer: -6751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-1)*d**(-10)\/d assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1879 - 139*g + 67*g + 73*g - 3746 + 1873.\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - d**2 - d + 1. Let n(m) = -16 - 45*m - 6*m**2 - 3*m**2 - 9*m**3 - 20*m**2 + m. Let z(k) = n(k) - 4*v(k). Factor z(j).\nAnswer: -5*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-0.0266\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3\/3 - u**2\/2 - 16*u - 56. Let j(f) be the first derivative of w(f). Let i(d) = -3*d - 1. Let k be i(-1). Determine j(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2737*a. Let n(t) = 57*t. Let i(w) = w**2 - 37*w + 23. Let d be i(13). Calculate d*n(j) + 6*s(j).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 135686567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-444)\/220 + 2 + 4\/20. Let -2\/11*i**4 + 0 - l*i**2 + 0*i - 4\/11*i**3 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wz when two letters picked without replacement from xwwzw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-5 + 0 + sqrt(200)) + sqrt(200) + sqrt(200)*1*-4 + 1 + sqrt(200) + 0)**2.\nAnswer: -2520*sqrt(2) + 7641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 63909307.\nAnswer: 3\/63909307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25851*z**4 - 493*z**2 - 25852*z**4 + 2 - 2 - 2*z**3 to the form l + g*z + u*z**4 + v*z**3 + n*z**2 and give n.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does -2586 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t - 3*o = -72, -2*t - 6831*o + 20 = -6832*o for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18552*o**3 + 2*o - 52769?\nAnswer: 55656*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + 602*z**3 + 0*z**2 - z**2 - 601*z**3 - 4*z + 3*z to f*z**3 + c*z**2 + t*z + b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in 0.2, 2\/11, 4\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 130 - 123.9. Let q = 6 - c. Is q greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1729 = 15*r - 3386. Let y = -217 + r. Calculate the remainder when y is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) 2  (b) 0  (c) 4  (d) 0.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (69\/(-21))\/((-12)\/(-756)*9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/28 - 234\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4350 - -6850. Suppose -11*b + b = -r. Suppose -3*n - 2*m + 148 = 0, -74 + b = 3*n - 5*m. Calculate the remainder when n is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57 times -497.3\nAnswer: -28346.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21179*v + 193 + 21177*v - 409 + 216.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 - 14. Let j(l) = -l**3 + 13*l**2 + 9*l + 23. What is the hundreds digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(2420)*-1 - (sqrt(2420) - (sqrt(2420) + 2 + sqrt(2420) - sqrt(2420)))*6)**2.\nAnswer: -308*sqrt(5) + 2469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 - -27.9998. Round k to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -200880 by 80.\nAnswer: -2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (69\/9 + -8)\/((248\/(-96))\/(-31))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23955.46 litres to millilitres.\nAnswer: 23955460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1292*n = 635*n - 15939 - 5085 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -1022  (c) 24  (d) 2\/17  (e) -3\/4  (f) -2\/19  (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 1:33 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.501714 + 0.5.\nAnswer: -16.001714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-24)*2016\/108\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 194310 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: What is 7072.773 millennia in decades?\nAnswer: 707277.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133346 is divided by 66667?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19829*i + 1305 = 19916*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 - -25. Is n equal to -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -515, -1202, 6 in increasing order.\nAnswer: -1202, -515, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -6\/3701 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3449209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/66 - (-4)\/(-22). Let o be (2 + -1)\/(2702\/(-2722) + 1). Let z = 136 - o. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, j: 7, w: 1, i: 4, s: 4, f: 2}. Give prob of sequence ff.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 10*f**2 - 11*f - 1. Let d = 75 - 86. Let v be u(d). What are the prime factors of v\/(4\/76)*(-8 + -1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -4*l + 36. Let p(w) = 4*w + 6. Let m be p(-4). Let s be 14\/(-70) + (-62)\/m. What is the greatest common divisor of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 2:05 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, b: 4, t: 8, r: 6, v: 1}. Give prob of sequence yrv.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**5 + 46*f**4 + 374*f**3 + 1266*f**2 + 1584*f + 648 = 0 for f.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -273 at most -263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**2 + t + 1. Let z be u(-6). Suppose 47 - z = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 2*l + 202 = 198, 36 = -8*s - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/14)\/(87\/(-232))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -472 times -412.9\nAnswer: 194888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/2?  (a) 0  (b) 1\/3  (c) -0.04  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-34 - 22 - 18)*(-z + 2 - 2) in the form q + j*z and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -1253450?\nAnswer: 1253443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -0.3, 0.4, -13, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(-4 + 51\/6). Let z = 32 - c. Solve n = z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4 - 694*p**3 - 65072*p**2 - 826680*p.\nAnswer: -2*p*(p + 15)*(p + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of j**4\/12 + 5*j**3\/6 - 3*j**2\/2 + j. Let r(f) = -f**3 - 5*f**2 - 6. Let l be r(-5). List the prime factors of d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, c: 1, r: 8, q: 2, h: 1, f: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1097 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*a = 4296 - 2528 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**3 + 3*h**3 + h**3 + (1 - 1 - 1)*(-2 + 2 - 2*h**3) + 2*h**3 - 3*h**3 + 2*h**3 + 1191*h - 24*h**3 + 26*h**3 + 1584*h.\nAnswer: 7*h**3 + 2775*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 3:24 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 11, q: 2}. Give prob of picking 1 q and 3 v.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 4786760.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/21 and 11\/(-198) + (-2015)\/(-117).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.7357 - -2.0371. Let z = a + -1.3. What is z rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5295, 10822, 16581, 22572?\n\"Answer: 116*s**2 + 5179*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -316, -237, -14, 425, 1152, 2239, 3758?\n\"Answer: 12*o**3 - 5*o - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8195 + 8194. What is the closest to r in -5, 0, -2\/45, -4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*h + 1529 - 1073 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 40*m + 68 + 87 + 125 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from hhvmvhhhvmrhppvvm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*j - 24 = -129, 6 = 2*j. Calculate the remainder when c is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226*b + 225*b + 3 = 0. Suppose -3*y + 79 = g, 4*y + 2*g + 15 = 117. Suppose b*d - y = 38. Which is smaller: 20 or d?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 276.4 and 0.14.\nAnswer: 38.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -1\/50*b**5 + 1\/60*b**4 + 0*b**3 + 0*b + 4\/525*b**7 + b**2 + 0 + 0*b**6. Factor q(x).\nAnswer: 2*x*(x + 1)*(2*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h - 9. Let m(x) = 11*x + 27. Let r(w) = -6*m(w) - 17*q(w). Let k be r(6). Suppose -16 = -k*f - 3*z + 8, -4*f = -4*z. Solve -f*j = j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 31*a**5\/2 + 283*a**4\/4 + 111*a**3\/4 - 59*a**2\/2 - 2*a = 0.\nAnswer: -4, -1, -2\/31, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.127 + 11.127. What is the nearest to 0.1 in -2, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6041.404ml in litres?\nAnswer: 6.041404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 623550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = -2*s - 9. Let i = 16 - 35. Let z = i - s. Solve 9 + z = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (224\/(-120))\/14 + (-6334)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/2 - 3 - (-6)\/(-4). Let t(s) = -s - 4. Determine t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 3*a**3 + a**2)*(-7 + 1 + 3)*(-1 + 0 + 2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2d83 (base 14) to base 6\nAnswer: -101423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*y + 13*y = 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**4 - 388*y**3 + 1520*y**2 = 0.\nAnswer: 0, 4, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1526 + 1518 + z**2 + 1525 - 4569.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mbfrxbmbbfxlb. Give prob of sequence fbxr.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((((sqrt(567) - (sqrt(567) + 4)) + 0)*3)**2 - (sqrt(567) + (sqrt(567) - 3*(-2*sqrt(567))**2) + 1 + 0 + sqrt(567))) + -4).\nAnswer: -20829 + 81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {r: 1, m: 4, a: 1, c: 4, t: 1, b: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + -25. Let l = 44 + w. Let f be (l - -4)*8\/(-8). Is -8 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 4*f + 19. Let t be j(9). Let g be t\/6*(-585)\/(-60). Let y(i) = -g*i + 5 - 5 + 95*i. What is y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 939, 959, 995, 1041, 1091, 1139, 1179?\n\"Answer: -o**3 + 14*o**2 - 15*o + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181782, 363491, 545146, 726747, 908294?\nAnswer: 1089787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*x + 301 + 11*x - 3*x - x + 532 to t + b*x and give t.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1258560*i - 6489 = 1258457*i for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -13*v - 12. Let o be w(-3). Calculate the highest common factor of 135 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3769806877 less than -1.33?\nAnswer: 3769806875.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 7:47 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 336386 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 87 = 91 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of u**6\/120 - u**5\/60 - u**2\/2 + 1. Let l(p) be the second derivative of r(p). Solve l(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/4)\/((-1)\/8). Is 514*(-1 + (-6)\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -49, -4326752, -2\/5?\nAnswer: -4326752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9 and -0.6.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 107 and 0.083912.\nAnswer: 8.978584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4006918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 1. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.6132 and 168.\nAnswer: 167.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/3468 and 155\/9792?\nAnswer: 166464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-33 + 40 - (83 + (4 - (8 - -1)))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*a = 5*a + 45, 2*a + 15 = y. Suppose -2*m + 383 = y*v, m + 1 = -0. Is (-3)\/6 + v\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) -3007.31  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4142\/(-10355) - -2*(-6)\/20 - (43 - -66).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 22446, 89161, 200348, 356001, 556114, 800681, 1089696?\n\"Answer: -l**3 + 22242*l**2 - 4*l + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*p - 119*p = -61*p - 4. Which is the closest to -2\/13?  (a) 5  (b) p  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.12 - -5.12. Let d = -51 - -50. What is the third biggest value in -3\/5, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*q + 22 = q, q = 5. Let x = 0.2 + -0.3. Which is the nearest to h?  (a) -0.4  (b) -5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2975.43 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or 218\/5?\nAnswer: 218\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1053*x - 1981. Let b be h(-2). Let m(u) = u**2 + u + 5. Let t be m(-5). Calculate the greatest common divisor of t and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 + (50 - 48) + -36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6997815 and 738078?\nAnswer: 741768390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.3, -40, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -4 + 31 + (-4 - -1 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {r: 4, b: 1, c: 1, k: 3, u: 4, o: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.1, 419\/2, 2\/9, -16 in decreasing order.\nAnswer: 419\/2, 2\/9, 0.1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1862*m**2 - 2 + 1612*m**2.\nAnswer: -250*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f**2 - 112*f + 49. Is 11 a factor of d(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5347699 divided by -7.\nAnswer: -763957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -17*w - 1493. Give o(-93).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssvbpggssppss. Give prob of sequence bg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-3)*n)**(34\/3)\/(n*n*(n*n*n**(2\/141)\/n*n)\/n*n*n*n*n**(-1\/2)) assuming n is positive.\nAnswer: n**(-4751\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3973\/2 + 2030. Calculate the common denominator of -125\/96 and l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 292 in 0.11, 1802, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 - 42 - (-3 + 12 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000023110005 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 1  (c) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3026184\/17 at least as big as 178011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 168 - 175. Put 6, i, 2\/13 in ascending order.\nAnswer: i, 2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 - w**2 + 2*w**2. Let a(i) = -6*i - 10. Let c(q) = 15*q + 24. Let l(k) = 12*a(k) + 5*c(k). What is l(p(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 144698*d + 0 - 1 + 3.\nAnswer: -144698*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 6*t**2 - t - 7. What is f(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d**3 + 2*d**2 - 2*d - 5. Let z be h(3). What is the highest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-63))\/(-1*(-2)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r. Let k(x) be the first derivative of -3*x**3 + 10*x**2 - 441. Give k(o(h)).\nAnswer: -9*h**2 - 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w - 2*i - 1514 + 1505 = 0, -5*w + 3*i = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 19*k**2 + 4*k + 7. Let p(n) = -39*n**2 - 9*n - 14. Determine -9*b(v) - 4*p(v).\nAnswer: -15*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 25\/8 of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-22)\/(-3))\/((-2)\/(-21)). Let p = -50 + y. Calculate the least common multiple of 12 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1692906 and 8.\nAnswer: 6771624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*d + 156 = 0, 20*n - 16*n - 2*d - 126 = 0. What is the least common multiple of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d**39\/d)\/d)\/d)\/d)\/(d\/((d\/d**(-1\/18)*d)\/d))*d\/(d*d\/d**42)*d*d\/d**(-1\/10))**11 assuming d is positive.\nAnswer: d**(38687\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006496 rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -82 + 111. Calculate the remainder when 83 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10402, 10771, 11766, 13699, 16882, 21627?\n\"Answer: 52*r**3 + r**2 + 2*r + 10347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 221043124 + -11?\nAnswer: 221043113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*y = 5951672 - 5956982 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*i - i**3 - 4*i**3 + 2*i**2 - 3*i + 4*i**3 - 2*i**4 to g*i**3 + f*i**4 + j*i + p*i**2 + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 8*j - 3. Let h be 0 + ((-72)\/63 - (-1)\/7). Let u be (-5)\/h + -2 - (7 - 6). Give d(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -5*x**2\/2 + 3*x - 2. Let v(m) = -m - 3. Let y be v(-5). Suppose -24 = y*d - 18. Let i(s) = -s. Determine d*i(p) + h(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 404364\nAnswer: 1\/134788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -218490 and 4?\nAnswer: 218494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 153 = 113. Let u = 40 - d. Suppose 0 = -u*b - v + 215, -v + 2*v = 5. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 4*h - 4*h)*(0 + 3 - 1) + 27*h - 12*h - 8*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l + 20*l + 19*l. Let q(w) = 2*w**2. What is g(q(s))?\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6698 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: Let u(d) = -d**2 + 6*d - 4. Let g be 0 + 0\/(-2) - -3. Let p be u(g). Suppose -3*t + p*t - 2 = 0. Solve 2 = -o + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 8. Let b = -25\/18 + 8\/9. What is the smallest value in b, f, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/sqrt(2))\/sqrt(7).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -11.0885 + -1\nAnswer: -12.0885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00095 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 10*v - 6. Let t(g) be the third derivative of g**5\/60 - 114*g**2 - 1. Give t(h(c)).\nAnswer: 100*c**2 - 120*c + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8876165 is divided by 231?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -16*q**3 + 3*q**2 + 85*q + 307. Is n(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 612 = -9*q. Let a = 1677\/11 + q. Let p be 46\/(-21) - 132\/(-154). What is the closest to -1 in p, a, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 1 + 3. Find j, given that j - 2*j**3 + b*j - 6*j**2 - j - 2*j**5 + 6*j**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 1. Suppose v + h*y + 20 = 0, 3*y + 4 = v + v. Is v\/(-10) + (-106)\/(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12733 divided by -75.\nAnswer: 12733\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -1. Let k(j) = j**2 - j - 1. Let w(a) = -4*a - 5. Let l(n) = 5*k(n) - w(n). Determine l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 394 or 386?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 6*c = -c + 26, 3*o + 18 = -3*c. Let k(q) = 3*q**2 + 4*q + 4. Let p be k(o). Let n(s) = -s**2 + 7*s. What is n(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 236467306 and 22?\nAnswer: 2601140366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75589090 and 3020.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f*f\/((f**5\/f)\/f)))*f**(-1)*f)\/(f**(3\/7)\/f**(3\/5)))\/((f*f**(-2\/7))**(-30))**6 assuming f is positive.\nAnswer: f**(4471\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8648 and 8?\nAnswer: 8648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**3\/6 - 2*i**2 + 24*i. Let n(j) = -j + 5. Give 6*a(b) + 5*n(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 90284\/9 smaller than 442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*x = -0*x - 18, 2*y = -3*x + 16. Solve y = o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -3*c + 2. Let t be o(2). Let i be -3 - (t - -2) - -8. Find the first derivative of 18 + 13 + i - 2 - 22*u wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -9*s - 2. Let f be m(8). Let i = -36 - f. Let x = 44 - i. Solve -a + 1 = -n, n - x*n = 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 95.7, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 2 + (1 - 1) - (41 - 16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 2*k - 9. Let j be i(-5). Suppose j = -5*m + 14*m. Calculate the highest common factor of m and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**4)\/g)**(-1\/2)\/(g*g\/(g\/(g\/g**(1\/6)))*g)**(29\/5))**(-36) assuming g is positive.\nAnswer: g**(3318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -136 or -132?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w. Let k(y) = 4*y - 60. Let g(m) = -k(m) + 2*q(m). Let r be g(-11). Which is bigger: r or 81?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, f: 5, b: 6, o: 1, z: 1}. Give prob of picking 1 i, 1 z, 1 o, and 1 f.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*2*sqrt(119))\/((sqrt(7) - sqrt(63)\/sqrt(9) - sqrt(7))*-2))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of 11*g**6\/120 + g**5\/15 - g**4\/4 + g**3 + 25*g**2 - 5*g. Let o(s) = -12*s**3 - 5*s**2 + 7*s - 7. What is 6*o(j) + 7*q(j)?\nAnswer: 5*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(-11 - 48339*v + 17722*v + 24815*v + 11 - 83615*v).\nAnswer: -178834*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -543003?\nAnswer: 542777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 22\/6 - 6\/9. Suppose g + 2*k - 2 = 2*g, 0 = -2*g + z*k - 1. Suppose c + 94 = 2*x, -2*c + g*x = -3*c - 82. What is c rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-19856)\/(-24))\/(-73))\/(1 - 44\/36)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 4*l - 7*j, 32*j - 29*j = -4*l - 5*l - 54 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (4 - 1) - 1 - -7) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 98597828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*c. Suppose c*p + 12 = -3*p. Let m be 5\/15 + 80\/48. Put m, 4, p in ascending order.\nAnswer: p, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130 divided by -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 38040 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8397, 8399, 8401, 8403, 8405?\n\"Answer: 2*h + 8395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 0*t + 4*j - 12, -5*t = 5*j - 35. Suppose -6 = 5*f - f - t*v, 6 = f + v. Is f smaller than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppqpqqqqpqpppq. Give prob of sequence pppq.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -568074*a - 3 - 8 + 568073*a.\nAnswer: -a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-2 - -3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 5*n**2 - 7*n + 2. Let i be d(6). Which is the closest to -1\/4?  (a) 2  (b) 3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -19*l**2 - 58*l + 10. Give f(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -2.4. Let u = -7 + 3. Which is the nearest to -1?  (a) k  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1134488, 1134490, 1134492, 1134494?\n\"Answer: 2*q + 1134486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19494*s + 38182*s - 18710*s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3566*n**3*s*u**2 - 34*n**3*s - 2*n**2*s - 2*n*s*u**2 - 14*n*u + 2*s*u**2 - s wrt n.\nAnswer: 21396*n*s*u**2 - 204*n*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185983674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*m + 2*w, 5*m + 7 = 3*w - 6. Calculate the common denominator of m\/(-10) - (6 + (-1028)\/560) and -81\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 39*b + 4. Let s be y(-39). Solve -s*k + 19 = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (79\/(-9))\/1 + (4 - 225\/(-45)). Let b(n) be the first derivative of -40 - j*n**3 + 8\/3*n + n**2. Factor b(k).\nAnswer: -2*(k - 4)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 39618, 79222, 118822, 158418, 198010, 237598?\n\"Answer: -2*a**2 + 39610*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -301356.5\nAnswer: 904069.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13508 greater than or equal to 13504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20244715613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 33078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + 0.8. Let w = -1.4 + 9.4. Let s = w - u. What is the third biggest value in -2, 0.4, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 15*k**4 - 36*k**3 + 29*k**2 - 4*k. Let t(d) = 15*d**4 - 36*d**3 + 30*d**2 - 3*d. Suppose -9*o + 6*o = 9. Let j(i) = o*c(i) + 2*t(i). Factor j(w).\nAnswer: -3*w*(w - 1)**2*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009108 to five dps.\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3475272 rounded to two decimal places?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 12, 46, 114, 228, 400?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2263*t - 2461*t = -191389374. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*j - 197 = 64*j - 146*j - 3*y, 2*j + 58 = -2*y + 4*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l**3. Suppose -4*k + 3*z = -4 + 6, 4 = -2*z. Let r = k + 6. Suppose r*t = 4*i + 12, -2*t + 3 - 1 = 2*i. Give y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -36*y**4\/7 - 1169128*y**3\/7 - 909236*y**2\/7 + 2078400*y\/7 = 0.\nAnswer: -32475, -16\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*i + i + 42, 0 = i + 3. Let w be (-6)\/m - (-65)\/25. Let a = 6 - 6.4. What is the closest to 2\/7 in -3, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -5, 2\/9, 13\/5, 13223.98 in decreasing order.\nAnswer: 13223.98, 13\/5, 2\/9, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 263.9487 months?\nAnswer: 0.021995725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17163526 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/4 - 23*o**3\/4 - 81*o**2\/2 - 85*o - 50.\nAnswer: -(o + 1)*(o + 2)*(o + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -145 - -84. Let j = i + 56. Let a(w) = 7 - 2*w + w + 3*w. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 2*f**2 - 2*f. Let q be l(-3). Let s(b) = -8*b - 95. Let g be s(31). Let c = g - -345. Solve q = -h - c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(26)\/(-4*sqrt(32)).\nAnswer: -sqrt(13)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3354 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 8*g - 7*g + 4 + 3. Let f be q(-3). Let x = 3 - -7. What is the highest common divisor of f and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 0.1, 2\/5, 0.02, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/1935423 and -129\/152614.\nAnswer: 42579306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111935, 223132, 334329, 445526?\nAnswer: 556723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 7 = -4*t + 3, -3*t + 5 = 2*x. Suppose 0 = t*v - 18 - 30. Suppose -k + v = k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 + 44. Let g(j) = -10*j**3 - 3*j**2 - 2*j. What are the prime factors of g(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/12117903 and -12\/17888333.\nAnswer: 375654993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 0*g**3 + 1\/120*g**6 - g**2 + 0*g + 1\/12*g**5 + 0 + 1\/4*g**4. Give i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/14)\/((4405\/(-98672))\/(5\/(-2)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12 - 42*i**4 - 559*i + 518*i - 13 - 20*i**4 wrt i.\nAnswer: -744*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = q - 5. Let t = -10 + -6. Calculate the smallest common multiple of 9\/6*t\/(-3) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2082 or -1?\nAnswer: -1\/2082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 3:45 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: a1 (base 12) to base 14\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2. Let g(c) = -14*c - 206. Let n be g(-15). Let q(j) be the third derivative of 0 + 1\/2*j**n + 0*j + 4*j**2 + 0*j**3. What is t(q(i))?\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 542 - 542.001818. Round d to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -g + 4*m - 102, 3*m = -g + 99. Is g a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -1\/5  (c) 9  (d) -0.1  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(20\/(-5)))\/((-6)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 306800 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 112\/28 + (-57)\/12. What is the nearest to -0.1 in t, 7, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*6\/(-3)*-40. Let f = c + 213. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) - (-1*sqrt(931) - sqrt(931)))*6 + (sqrt(931)*1 - sqrt(931))*-3 - -4*(sqrt(931)*2 - sqrt(931))*-6)**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8295 is divided by 6728?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -8. Suppose 7 = -5*p - g*h + 2, -5*h - 17 = 2*p. Let f be -400000*3*(-2)\/p. Round f to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -720 = -924*u + 464*u + 500*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 times 2473\nAnswer: 1978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/10 + (-458)\/(-5). Suppose 7*h + 552 = 10*h + 21*h. What is the highest common divisor of d and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w - 5*w + 3*w + (3 + 1 - 3)*(2*w + 4*w - 4*w) - w - 2 + 2 - 2*w - 3 + 3 + 51 + 1065*w + 1069*w - 2133*w.\nAnswer: 2*w + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 31*a - 3. Let c(w) = -30*w + 4. Give 3*c(t) + 4*d(t).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s**3 - 700*s**2 - 229*s + 1268. Calculate v(-233).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of g**5\/20 + 5*g**4\/12 - g**3\/6 - 3*g**2\/2 - 12*g. Let l be d(-5). What is the greatest common factor of l and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23192543113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 228?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 857*-271\nAnswer: -232247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -698406 or -698404?\nAnswer: -698406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3885 and 5082735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - (-2)\/((-4)\/4). Put 2, y, -2 in descending order.\nAnswer: 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 63*a - 132*a + 1 - 92*a - 177*a.\nAnswer: -464*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*z - 231*z - 319*z + 1016*z - 232*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/733 and -24\/31?\nAnswer: 22723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a - 7*a + 5*y - 20 = 0, 7*y - 28 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 3. Let s = -5 + 3. Let o be s - -3 - (-4)\/y. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.15840484 and 0.\nAnswer: -0.15840484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of -r**7\/945 - r**6\/270 + 2*r**5\/135 + r**4\/54 - r**3\/9 - 6*r**2. Solve f(m) = 0 for m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, -0.12, -89, -566.4, -4\/9, 5\/4, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - 15*x - 23. Let c be d(-13). Let l(b) = 3*b - 6. Let i(r) = 3*r - 5. Let u(f) = 4*i(f) - 3*l(f). Let p(z) = -2*z + 1. What is c*u(v) + 5*p(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9.568 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-18)\/81)\/(9\/81)*12\/(-78). Let i = 551 + -7159\/13. Solve 10\/13*r - 10\/13*r**3 + i - c*r**2 = 0 for r.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13  (b) 0.6  (c) -0.4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85512 is divided by 85496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 51146\/4 - -8*(-2)\/32. Suppose h = 3*u - 10665. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*k + 18484*k**3 + 325*k**3 - 68*k.\nAnswer: 18809*k**3 + 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -11363, -13325, -15289, -17255?\n\"Answer: -h**2 - 1959*h - 9403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-832*g + 23*g**3 + 832*g)*(0 - 1 + 0)*(-2*g**2 - 3*g**2 + 7*g**2).\nAnswer: -46*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 15 = -5*n, -n - 2*n = -y - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22.9 >= 7336.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-3) + 412\/(-12). Let d = 70 + q. Suppose 2*t - 6*t + d = 0. Solve -c - t = 5*n, n + 15 = 5*c - 4*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1066 - 1658. Let t(l) = l**3 - 2*l**2 + 4*l - 28. Let f be t(4). What is the hundreds digit of w\/(-22) - f\/(-110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r = -3013 + 2863 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w + 3. Calculate the remainder when c(-2) is divided by ((-5)\/3)\/((-2)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1288 + 63 + 366*y**2 - 1351.\nAnswer: 366*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6515 + 13235. Let q be 69064\/g + 4\/(-14). Let u = -17\/15 - q. Find the common denominator of u and -19\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c**2 - 37 + 11*c**2 + c**3 - 11*c**2 to the form x*c**3 + h + i*c**2 + w*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 192953.\nAnswer: -2\/192953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 50729061 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28\/2*(-512)\/(-448). Solve -13*v + i*v = -18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 456615686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 - 96. Let t = 73 + y. Put 2, t, 6 in decreasing order.\nAnswer: 6, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1. Let v(w) = w - 7. Let k be v(10). Suppose 17 = 3*z + 14. Sort z, r, k.\nAnswer: r, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160723197913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 625 + 34*s**2 + 18*s**2 - 375*s - 5*s**3 + 23*s**2.\nAnswer: -5*(s - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*h + 3. Let l = -607\/7 + 87. Let u(i) = i**3 + 6*i**2 + i + 7. Let d be u(-6). Which is the closest to d?  (a) l  (b) h  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -46 in 4, -1, 2\/51, 0.0673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**3 - 6*w**2 + 40*w - 232. What is b(7)?\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -11*r. Let o(c) = 5*c + 11. Let k(q) = q + 2. Let n(b) = 33*k(b) - 6*o(b). Give t(n(j)).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 9*z - 11. Let f be (1 - 3)\/(4\/(-16)). Let y be d(f). Let w be 2 + (0\/y)\/(-1). Let b(a) = -a**3 + a**2 + 2*a + 1. Give b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 18 = -5*r, 4*c - 8 = c + 2*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -12.994, -1.9, -5, -2\/61?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -20. Suppose 9*o - b = 7*o. Is 10 a factor of (o\/(-1) - -4)*-13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/(-16))\/(6\/(-20)). Is -1\/7 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 3:36 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6054, 12111, 18182, 24273, 30390, 36539, 42726, 48957?\n\"Answer: g**3 + g**2 + 6047*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1407000 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 87\/28)*(-446)\/(-6) + 609096\/76137?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**2 + 5*g**2 - 2*g**2 + (-2*g + 7*g - 2*g)*(12*g + 7 - 7) to k*g + w + c*g**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 2802605?\nAnswer: -280260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 12:22 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/182992969 and 139\/70835988.\nAnswer: 2195915628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -246*b - 244*b - 239*b + b**2 - 14 + 718*b. Calculate r(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -1 + -11 + (16 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26287 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of -t**3\/3 - 7*t**2\/2 + 49*t - 172. Determine i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(24\/15) + (-4)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -169 - -169.1. What is the closest to k in -2, -11\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -441 = -182*t - 3235 + 181 - 1209 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2844 and 14607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54723\/5 != 10946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 18*f + 198 = 0. Let b(j) = -24*j + 9. Does 13 divide b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62, -988, -3948, -9808, -19558?\nAnswer: -34188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(7) + -1)**2 + 5 + -1)*-2.\nAnswer: -136 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 523 (base 6) to base 8\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-209)\/38)\/((-4)\/6) + (-7 - 1). What is the nearest to -15\/2 in h, -5, -1, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 663*r - 50589 = -870*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*n = -597, -90*o = -87*o + n - 367. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 0 + 35 = 9*b, 10*b - 2*u + 32 = 5*b + 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 925 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 - 226*o - 2544. Calculate the lowest common multiple of g(125) and 38.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 28*c - 7561. Determine o(-74).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218099 is divided by 31069.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 25\/4, 2\/23 in descending order.\nAnswer: 25\/4, 2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4205407.\nAnswer: 79, 53233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 11*a**3 + a**2 - 3*a + 5. Let u be (-66)\/(-42) - (-12)\/28. Is w(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 658 (base 13) to base 14\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1)*((-3*p + p + p)*(p + 2*p**2 - p + 553 - 553 + 9*p**2 + (0*p + 3*p - 2*p)*(0 + 0 - 2*p) + 5*p**2 - p**2 + 0*p**2) + 0*p**3 - 2*p**3 - p**3).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -37*t + 1220 - 1227 + 291*t. Is a(2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -104, -206, -308, -410, -512, -614?\n\"Answer: -102*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does -281611 = -281540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 1 + 5 - d + 4*d - 6*d + 0*d + (-4 + 1 - 1)*(2*d - 3 + 3) to t*d + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*v + 24*v + 66010000. Round v to the nearest one hundred thousand.\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 6)*(-7163*p + 858*p + 1846*p) in the form f + i*p and give i.\nAnswer: -8918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 0 + 271\/120*f**6 + 0*f**4 - 317\/6*f**3 + 11*f + 0*f**5 - 10*f**2. Find the first derivative of t(j) wrt j.\nAnswer: 813*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -570b?\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1354?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 228093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-6)\/n**(2\/13)*(n**(-2\/5))**34 assuming n is positive.\nAnswer: n**(-1284\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*p - 14*p + 11*p + 23*p.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 98.942 + -99. Let l = -10.942 + c. Let x = -22\/9 - -53\/18. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbeleneell. Give prob of sequence lb.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5*(-2 + (sqrt(700) + -2 + sqrt(700))*4 + -2)*-1*-2)**2.\nAnswer: -192000*sqrt(7) + 4494401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 20 = 13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 40 = -5*j, -j = -4 - 1. Suppose k*w = -5*q + 30, -w + 0*w = -1. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 + t**2 + t + 33*t + 92*t.\nAnswer: -t**2 + 126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 + 29. Solve 2*w + k = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -458810 divided by -8342\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -7. Suppose -3*c + 7*h = 11*h - 18, -6*c + 3 = -3*h. Solve -j = m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 6*u = -6. Let g be (-2 - u) + (-2 - -2). Solve -2*t - 2 = -g*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p. Let m(w) = 3*w - 3. Let o(k) = m(k) + 4*n(k). Calculate the lowest common multiple of o(-5) and (-7 - 64\/(-3)) + 4\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -x - 51. Let a = x + 20. What is the second derivative of -54*u**2 + 5*u + 7*u**3 + 54*u**2 + a*u**3 wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.2, 881, 249, -2, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30697166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-14)\/21)\/((-2)\/33). Suppose w - 5 = -b, -5*b + 2*b - w = -h. Let d = -4 - -8. Put 1, d, b in decreasing order.\nAnswer: d, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -52, -275, -646, -1165, -1832?\n\"Answer: -74*z**2 - z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 10454*i**2 - 3272*i + 56. Let u(k) = -2091*k**2 + 654*k - 12. Let s(q) = -3*f(q) - 14*u(q). What is the second derivative of s(a) wrt a?\nAnswer: -4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -152\/371 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - -1. Let k be (-10)\/(-15)*u\/5. Factor -16\/3*j**4 - 4\/3*j - k*j**5 + 0 - 16\/3*j**2 - 8*j**3.\nAnswer: -4*j*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -143.083*-0.14\nAnswer: 20.03162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*s - 15 = -28*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -20. Let h(m) = -m**2 + 9*m + 14. Let d be h(k). Solve -2*t + 3*w - w = 0, -4*w = d*t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (16\/18)\/4 - ((-605632)\/144 - 11) is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69472*p**3 + 23229*p**3 + 23157*p**3 + 23231*p**3.\nAnswer: 145*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38725425*z**3 + z**2 - z**2 + 19362735*z**3 + 19362687*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -404.00000173 - -404. Round z to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, n: 2, o: 3, q: 2, s: 5, k: 2}. Give prob of sequence qi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 79.5 - 21. Let f = 59 - c. Sort f, -4, -1.4, 0 in increasing order.\nAnswer: -4, -1.4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, -6\/7, -3, 1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 14*i**3 - 4*i**2 - 2*i + 1. Let l(u) = u**3 - 5 + 3*u**2 - 4*u**2 + 5. Let b(d) = -a(d) + 6*l(d). Determine b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 87225, 87226, 87227, 87228?\n\"Answer: g + 87224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s + 8. Let w(m) = -16*m - 9. What is 2*c(j) + w(j)?\nAnswer: -12*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39783 divided by 149.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -252, -210, -206, -240?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325193266?\nAnswer: 2, 53, 3067861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 6*u**2 - 6*u + 2. Give r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 276 and 875644408?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of r**5\/20 + 5*r**4\/12 - 7*r**3\/6 - 3*r. Let h be x(-6). Calculate the greatest common factor of 18 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 7:36 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-1 - -5) - (-6 + -11 + 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from kkkkkxxkxkx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 828275939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/103  (b) -3  (c) -2\/9  (d) 2\/703  (e) -0.08  (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 + 915132007694.\nAnswer: 915132007693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 0 + 0)*(-12 + 22 - 7)*(4*a - 3*a - 2*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 20*y**2 + 42*y + 40. Give d(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3061 = 7*r - 3047 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*w - 21*w - 9678 - 7*w + 11*w + (-4*w - 3*w + 6*w)*(1 - 1 - 3) in the form m + l*w and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -14274, -9, 0, -2 in decreasing order.\nAnswer: 0, -1, -2, -9, -14274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/((221\/(-39))\/(-17)*(165\/(-22))\/5).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-10) + (-18)\/210. Which is the smallest value?  (a) 1\/5  (b) 1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - 111100100?\nAnswer: -111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -72 - -71.95. Put q, 0.1, 8, 1\/3 in descending order.\nAnswer: 8, 1\/3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3979 and 15755.\nAnswer: 2725615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + ((-12)\/(-15) - (-212302)\/(-9090))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24940 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -262361 (base 7) to base 3.\nAnswer: -2111001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.82 * -0.2.\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d - 3. Let s be j(-6). Let i = s - 0. Suppose -x + i - 2 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -120*f - 44*f - 19*f + 18*f in the form q*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, t: 2, j: 1, m: 7, l: 4}. Give prob of sequence ptl.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 7*r**3 - 85*r**2 + 73*r - 810. Determine j(12).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = -7*n - 6*g - 13, 2*n + 3 = -g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208138 is divided by 41474?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**0\/b*(b\/(b*b**(-3\/5)\/b*b*b)*b)\/b*b**7*b**(5\/4)*b assuming b is positive.\nAnswer: b**(157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3990288 divided by 997572?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2 + (-3 - 0) - (3 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.5376191kg?\nAnswer: 537619100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -301\/385650 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 6314, 3, -102 in decreasing order.\nAnswer: 6314, 3, -8, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.044, 64, 3, -0.4 in ascending order.\nAnswer: -0.4, -0.2, 0.044, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r - 2. Let z be f(2). Suppose 5*c + 5*w - 175 = z, 4*w + 159 = 5*c + 5*w. Suppose 4*t - c - 2 = -i, 4*i + 4*t = 156. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 9:37 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 100 in decreasing order.\nAnswer: 100, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.114861 - -64.761861. Let g = f - 63.8. Let n = g + 0.153. What is the smallest value in 0.2, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21740?\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -5*x + 12. Let y = 0 - -2. Suppose -3*s - y*s = -10. Solve -t - 24 = 4*h, -s*h + h = t + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -685183\/404 + 1696. Let c = 797\/4444 + v. What is the second biggest value in 1\/3, 0.4, c, 2.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(2)*-1 - sqrt(22)\/sqrt(99).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -4*r**2 - 4*r + 4. Let g(x) = 7*x**2 + 7*x - 7. Let t(l) = 3*g(l) + 5*w(l). Let f(b) = 3*b**2 + 4*b + 4. Let p(k) = -f(k) + 2*t(k). Determine p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 5*g - 26, 2*g - 8 = 0. Let q = -97 + 179. Let z = q - 245\/3. What is the biggest value in z, 9, b?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24495 * 8939.\nAnswer: -218960805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 11*z + 1. Suppose -207 = -6*v - 219. Give y(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112528 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/30 and ((-14)\/7)\/(18\/10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-476)\/(-140)*190*(-32)\/(-272).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 39. Let o = -34 - i. What is the common denominator of 53\/4 and (-1)\/o*-46 - -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p*p\/(p\/(p\/p**15))))**(2\/31)*p\/(p\/p**(-30))*p**5 assuming p is positive.\nAnswer: p**(-749\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 24 = 5*v + 5*t, 4*t = 2*v - 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 944 and 0.4.\nAnswer: 377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 + 2*i**3 + 0*i**3)*((-1 + i + 1)*(4 + 0 - 3) + i + 0*i - 3*i + 0 + 2*i + 0 + (0 - 2 + 0)*(-3 + 3 + 2*i) + 3*i - 3*i - i).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59891702 is divided by 9981947.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 1:11 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 15344 and 0.2.\nAnswer: 15344.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/2 - 9\/(-2). Suppose -4*o = -0*o - 24. Suppose 2*u + 0*s + 4*s = 20, -u = -2*s + o. Solve d*x - u = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5\/4 - 49\/44. Find the common denominator of -51\/52 and a.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -434*g + 108133. Determine p(248).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.6 - -0.4. Let n = c - 0.99817. What is n rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rpj when three letters picked without replacement from riybpij.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -10548 minus 164228?\nAnswer: -174776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 74\/5 of a millisecond?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.4175239mm?\nAnswer: 0.0000004175239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30509056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172351*-2.84.\nAnswer: 489476.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 + 216 + -2 + -1 + 2 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-162)\/(-24))\/((-1 + 2)\/12). Suppose -5*f - 3*h + 165 = 0, -4*f + 0*h + 149 = -h. Calculate the highest common factor of g and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16579.14 - -16579. Are n and -12\/131 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 522 - 522. Calculate the remainder when 129 is divided by (1\/1 - t) + 1152\/36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 143106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -6*d + 81. Give u(-6).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*h - 2. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82308883 is divided by 478540.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -9*m**2 - 957*m + 1553. What is x(-107)?\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - -98327\nAnswer: 98327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (938\/201)\/((-54123)\/(-135270) - (-2)\/(-5)).\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 14, 466?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/4))**19)**(-1\/2) assuming u is positive.\nAnswer: u**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9 - (-38)\/(-4))*(0 + -4). Solve m*v - 8 = -f, 2*f = -0*f + 5*v - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.4 - -5. Let j = 53409\/22 + -2427. Let w = j + -1\/66. What is the nearest to w in 1\/6, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d (base 15) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/((-560)\/42)*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 110 = -346. Let t = -26 + v. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -25. Let v(t) = t + y - 13. Let f(o) = 5 - 8 + 3 - 11*o**2. What is v(f(c))?\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*o**2 + 43*o**2 + 6*o**2)*(-2 - 2 + 2)*(43*o**2 - 11*o**2 + 28*o**2).\nAnswer: -11640*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1330292 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/48?  (a) -3\/5  (b) 3  (c) 5  (d) -10  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3 + 416*w**2 + 428*w - 840.\nAnswer: -4*(w - 105)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 509811065 is divided by 9939.\nAnswer: 9938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g - 30. Let i(a) = -a**2 - 12*a + 7. Let b be i(-12). Let v be q(b). Solve -2*x + 15 = v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -295102 or -295107?\nAnswer: -295107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 43*a**3 - 5*a**2 - 14*a + 5. Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0. Let a = 1 - -6. Let q = a - 2. Solve n = -0*c - c - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -76 - -24. Let c = w + 12. Let g be (c\/(-12))\/((-2)\/3). Sort -1, 0, g in increasing order.\nAnswer: g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560 = -92*w + 12*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 8*z**2 + 3*z + 1. Let u be s(1). Suppose -60 = -17*w + u*w. What is the highest common factor of 96 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 32918297.9 and -181.266.\nAnswer: 32918116.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of 0 + 0*v**2 + 9\/28*v**5 - 2\/7*v**3 + 37*v + v**4. Factor z(t).\nAnswer: 3*t*(t + 2)*(15*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w\/w**(-1))))\/w)\/(w*w**(5\/7)*w) assuming w is positive.\nAnswer: w**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2\/137, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2852 divided by -92\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1195411 and 0.6.\nAnswer: -1195410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8779 + 8772. Which is the smallest value?  (a) x  (b) -4  (c) 444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/10*154\/2178*(-880)\/(-616)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 2*f + 5. Is f + -26*4\/(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u + 4. What is j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2346*u**3\/11 - 4696*u**2\/11 - 214*u - 4\/11.\nAnswer: -2*(u + 1)**2*(1173*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10318*i**3*k - 180*i**2*k - i**2 + 79*i*k + 1957*i - 4*k + 5 wrt i.\nAnswer: 61908*i*k - 360*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75732, 75878, 76024?\nAnswer: 76170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -896403 - -1646430. Suppose 5*v = -p - 86848. Let k = 40375 + v. Round k to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbfjfffffjf. What is prob of picking 1 b, 1 f, and 1 j?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513 = -71*u - 300 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -28 + 1578?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1695 and 63720?\nAnswer: 7200360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -523 - -523.1. Let t = -0.13 + 0.03. Let h = t - 1.9. What is the closest to 1 in 0.07, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -10, -1, 4.\nAnswer: -10, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + 2 + (sqrt(243) - (1 + sqrt(243) - sqrt(243)))) + 4 + (sqrt(243)*2*3 - (sqrt(243) + (sqrt(243)*-1*-4 - sqrt(243)))**2).\nAnswer: -3869 + 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1504 and 16356.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + -19. Suppose 2*k = -r*b - 5, -3*b - 2*k = 2 + 1. Sort b, -0.5, 0.\nAnswer: b, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96827.5707 + -0.5707. Let l = t + -96770.957. Let f = l + -56. What is f rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101 divided by 16492.\nAnswer: 101\/16492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(2 + 2 - 1)*(-3 + 3 + 2)*(5 - 2 - 2)*(-4*m + 19 - 19).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**3 - 102*t**2 + 22*t - 42. What is the tens digit of b(52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 702?\nAnswer: 6fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -143 + 140. Let p = -120 + 120.1. Let h = 50 + -248\/5. What is the nearest to 0.2 in h, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 5*u - 87. Let o(a) = -2*a - 7. Calculate -4*o(v) + r(v).\nAnswer: 13*v - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/94  (b) -0.5  (c) 0.016  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-33)\/(-7) - (-14)\/49. Suppose b = -g, -2*b = -3*m - 172 + 791. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) -5  (c) -0.86  (d) -0.02  (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.528326 to 2 decimal places.\nAnswer: -5.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/27*(90\/(-21))\/((-1925)\/3773)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -483*-0.018.\nAnswer: 8.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.8 - -14.2. Let g = -24.1 + j. What is the biggest value in g, 1, -3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34179 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/70?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25454, -50942, -76392, -101786, -127106?\n\"Answer: 3*s**3 + s**2 - 25512*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = -19*q - 98 + 27 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 9*o**2 + 16*o - 23. Let j be c(10). Let d = -64 + j. Let h = d - -14. Put 1, h, 3 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33)\/6 - 2\/4. Let o = 2 - v. Find the common denominator of -1\/10 and -5 + 5 + (-25)\/o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l**2 + 11*l**3 + 14*l**3 + 12*l**3 wrt l?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 30 = -v, 0*u = 2*u - 3*v - 9. What are the prime factors of (-258)\/u*(-6)\/4?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (3 + (4 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -23, -35, -51, -71, -95?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.13 + 10.87. Let g = -53.4 + t. Let v = -48 - g. Round v to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11 and -16515.\nAnswer: -181665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63 + 137. Let y be (-16)\/28 + 3\/((-21)\/332). Let c = y + g. Solve 5*i = m - 10, 0 = i + 5*m - 10*m + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 3 + 3)*(3*s - s + s)*(4178 - 369*s**2 - 4176 - 382*s**2).\nAnswer: 2253*s**5 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -21131232 (base 4) to base 2\nAnswer: -1001011101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 321341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3152151?\nAnswer: 3, 577, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 697554 by -54.\nAnswer: -38753\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 80.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 127608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1f - -86?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 1)\/(1\/6). Let h(u) = -4*u**2 + u + 1. Let c be h(-3). Does 2 divide c\/(-14) + g\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -6, -1\/3, 14, -42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 904 + 276 = 0. Let s = 162 - b. Solve 5*r - 8 = -j + 2, 3*j = -s*r + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 58738, 59310, 59882?\n\"Answer: 572*f + 58166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 9*k**2 + 3*k + 8. Let m(u) = 2*u**3 - 18*u**2 + 7*u + 16. Let r(d) = 7*g(d) - 4*m(d). Let c be r(8). Suppose -3 = -0*s + s. Sort c, 1, s.\nAnswer: s, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5826628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*f + 37*f + 6*f - 742 + 742.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64706 divided by 2.\nAnswer: -32353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (0\/3 + -5). Let d be g - (-15)\/27*-5. Does -0.1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19743105 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 156 - 27548?\nAnswer: -27392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 + 0)*(-5 + 4 + 3)*(6 - 4 + 7)*(1 - 1 + t) as l*t + q and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 3610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 17*n + 1. Determine q(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38716*y + 19364*y + 19352*y - 1668*y**2.\nAnswer: -1668*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from pwgapwaappagvg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {r: 5, p: 6, y: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.2730285 + -2.368629007. Let g = d + 0.0956. What is g rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + -3. Let b be (221\/52)\/(10\/(-8)) + 3. Sort 0, b, k in decreasing order.\nAnswer: 0, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of g**4\/2 - g**3 + 5. Find the third derivative of o(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1268*-5.805\nAnswer: 7360.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3714502?\nAnswer: 2, 11, 109, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -25*g + 10. Give x(9).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 1499*l + 20 = 1502*l, 3*m - l = 28. Solve 7*p - 2*p + 3*t - 28 = 0, -2*p = -2*t - m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + q + 3. Let c be l(3). Solve -y = 5*k - c, -3*y + 4*k + 9 = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29542067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -115*l**7\/21 - 9*l**4\/4 - 3*l - 11. What is the third derivative of c(p) wrt p?\nAnswer: -13800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q + 11*i - 8*i + 49, -3*q - 11*i - 202 + 34 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bqqbhbtbtbttb. Give prob of sequence bh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2020301 (base 4) in base 14?\nAnswer: 3293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228182*-0.5.\nAnswer: -114091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2856913 to the nearest one thousand.\nAnswer: 2857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -15 - (1 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (25340\/14480)\/(1\/(-36)*1)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.1 - -5.1. What is the nearest to 1 in 5, x, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*s + 5*k - 24, -5*k + 25 = s. Let z(c) = -c + 7. Let i be z(3). Sort s, i, -1 in increasing order.\nAnswer: -1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -730\/39 + 3301\/234. Find the common denominator of u and 119\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 19 = -4*v + 4, 0 = 5*v + w - 13. Solve -t - 4*c = -3*t - v, 0 = -3*t - 3*c + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**2*n + 28331664*l**2 - 5711992*l*n + n wrt n.\nAnswer: -2*l**2 - 5711992*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488 = 25*i + 263 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1583877 + 1584152.0809. Let a = w - 275. Round a to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + j = 30. Suppose -4*x + 87 = 5*q, -2*q = -j*q + 9. Suppose 2*p + l = 24 + 12, l + 72 = 4*p. What is the greatest common factor of x and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 5:08 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-21)\/k)\/k)\/k)\/k**20*k**(-37)*k\/(k*k*k**23) assuming k is positive.\nAnswer: k**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**(4\/9)*t**(5\/3)\/(((t\/t**(-4))\/t)\/t)*((t**(-2\/5)\/t)**(4\/29))**(1\/68) assuming t is positive.\nAnswer: t**(-9881\/7395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r + 32. Let x be g(-6). Let f(o) = -8*o + 17*o - x*o. Let y(p) = p - 8. Determine f(y(v)).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/260 and -73\/290.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-9)*(-6)\/2*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-15 + 558\/36)*881*1*2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 8 = -p. Solve 5*o - 30 + 8 = p*t, -4*o + 13 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nppww. Give prob of sequence npp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*l + 7956 = 81*l + 10*l. What is the highest common factor of 2567 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.33 + -15.33. Which is the second smallest value?  (a) -0.2  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-3)\/(-2))\/(8\/240)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, s: 5, u: 2, g: 1, c: 1, x: 2}. Give prob of picking 1 u, 2 s, and 1 c.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*l + 28 + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 + 1. Let o be t(1). Let f be 0 - o - -42 - -2. What is the units digit of ((-4)\/5)\/((-6)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813*q = -817*q + 2*i - 18, -2*q - 2*i = -12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8653 - 8654. Which is the nearest to -16?  (a) 2  (b) n  (c) 2\/3  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of -65*d + 1\/5*d**5 + 102 + 0*d**4 + 0*d**3 - 23\/2*d**2. Differentiate q(n) with respect to n.\nAnswer: 4*n**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -10*i + 18. Let p(r) = 2*r - 2. Let l(q) = -3*q + 14. Let a(h) = h - 7. Let c(u) = -7*a(u) - 4*l(u). Give i*c(x) - 7*p(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oxxoxxoxoxx. Give prob of picking 2 o and 2 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -146*r**2 - 37*r**2 + 37*r**3 + 33*r**3 + 2 - 71*r**3 in the form h + x*r**3 + k*r**2 + z*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -179297*a + 3. Let j be u(-4). Let l = j - 384949. Suppose -l - 1127758 = -2*r. Round r to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9702\/28)\/(-7) - 61\/(-122).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 69 - 31. Let o(r) = r + 93*r + g*r. Let t be o(5). What is t rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6706.813 millimeters?\nAnswer: 6706813000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.7, -12437, 0.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) - 2*sqrt(880) - sqrt(55) - sqrt(440)\/(sqrt(32) - sqrt(8)))\/((sqrt(5040)*1)\/(sqrt(7) + (sqrt(252)\/sqrt(4) - sqrt(7)))).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*j + 135000. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3.49 from -66.\nAnswer: -69.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102830.\nAnswer: 2, 5, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**4 + r**4 - 3*r**4 + (0 + 0 - 4)*(0*r**4 - 7*r**4 + 0*r**4).\nAnswer: 29*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2 - 46. Let q = x - -20. Let n be (-4 + 5)\/(q*(-4)\/(-16)). Put 0, 15, n in descending order.\nAnswer: 15, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.1, 1, -124 in descending order.\nAnswer: 1, 0, -0.1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 1:59 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158*v**3 - 217*v**3 - 222*v**3.\nAnswer: -281*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**5 - 1143*o**2 - 489*o wrt o?\nAnswer: -40*o**3 - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l - 3. Let d(f) = f**3 - 8*f**2 - f + 10. Let m be d(8). Calculate the least common multiple of 3 - 2 - 1 - -1 and t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 80256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12395, 24746, 37047, 49298, 61499, 73650?\nAnswer: 85751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97 = 10*c - 3*h, 22*h - 20*h + 12 = -c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6890*s - 6888*s = 2*c + 30, -20 = 4*c for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 272521 * -12.\nAnswer: -3270252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -l - 9. Is 362\/l*-3 - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n - 8 + 2 - n + n - 4 + 15*n**2 to the form a*n + y*n**2 + o and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -80.2 + 80. Let a = 2295 - 2295. What is the second biggest value in -31, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14 + -2 - (31 + -37)) + 2 + -7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 5:58 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, f: 4, p: 3, d: 3}. What is prob of sequence ffhh?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 - 11 - -48 - -21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x - 3. Let y be q(-6). Let r(m) = 14*m**2 + 23*m + 24. Let u be r(-1). What is the highest common divisor of u and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1342.235250268 and 17.2.\nAnswer: 1359.435250268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1404976.\nAnswer: 2, 87811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2298376 + -3154576.\nAnswer: -5452952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40937709?\nAnswer: 3, 1867, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40252 is divided by 3658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70411284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.07 + 3.93. Let o = -479356.00002 - -479360. Let w = o - z. What is w rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j**3 - 193*j**2 + 61*j + 198. Give u(64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-6))\/((-45)\/(-270)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -51*y - 96. Let i(m) = 11*m. Calculate u(i(v)).\nAnswer: -561*v - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12092.\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4aa (base 13) to base 4.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 852.0923ml to litres.\nAnswer: 0.8520923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -68 + 249. Let c = -473 + j. What is the units digit of (-5 + 0 - c)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -336668870 + -0.1\nAnswer: -336668870.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14.01 - -14. Let d = 0.009962 + a. What is d rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004413 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 9) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 577, 1150, 1721, 2290, 2857?\n\"Answer: -p**2 + 576*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.22 + -17.22. Let k = -9 - i. Let q = 8.000003 - k. Round q to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, q: 2, p: 1, t: 1, e: 1}. What is prob of picking 1 e, 1 t, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8980*p - 8933*p + 2585 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -19*w + 469. Suppose -4*y - 20 = 0, -18*b + 3*y = -w*b + 1791. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 3*q**2 + q + 4. Let c(b) = 2*b**3 + 4*b**2 - 2*b - 3. Let w(y) = 2*c(y) + 3*z(y). Let j be w(0). Solve -j*f + 4 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/17, -0.3, 2\/3, -4, 5, 51 in increasing order.\nAnswer: -4, -0.3, 1\/17, 2\/3, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244 is divided by 59.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 2*t + 32 = 40, 25 = 5*w + 3*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -75427, -75463, -75573, -75793, -76159, -76707?\n\"Answer: -6*f**3 - f**2 + 9*f - 75429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -506?  (a) 1\/7  (b) -5\/2  (c) -836  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -615*c**4*m + 2*c**3*m - 59*m + 5 wrt c.\nAnswer: -2460*c**3*m + 6*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 7*j - 0*j. Let a(t) be the first derivative of 0*t**2 + 0*t + 3\/5*t**5 + 2\/3*t**3 + j*t**4 - 3. What is the third derivative of a(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*x + x + x)*(2 - 1 + 0)*(6 - 7 - 17*x**2 - 1) + 0*x**3 + 3*x**3 + 0*x**3 in the form d*x**3 + q*x**2 + k*x + t and give d.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3*-4*(-44)\/(-48)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -5*c - 39. Let m = -2 + c. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5600440029?\nAnswer: 3, 2477, 753659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 938*l**2 - l - 4. Let b be n(4). What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 304\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (42*b**2 + 27*b + b**3 - 355*b**4 + 351*b**4 - 32*b)*(1 + 0 + 1) to the form l*b**3 + o*b**2 + i + a*b**4 + h*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of -i**6\/45 - 2*i**5\/15 - i**4\/3 - 4*i**3\/9 - i**2\/3 + 4*i. Factor g(u).\nAnswer: -2*(u + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.56, -3, 0.2?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -7, 43546, 4, 0, 3 in decreasing order.\nAnswer: 43546, 4, 3, 0, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 4*r**2 - r - 3. Let i be f(-4). Let n = 18 + -17. Let t be n\/(-4)*2*10. Sort -1, i, t in descending order.\nAnswer: i, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6554*z**2 + 6555*z**2 - 4*z**3 + 3*z**3)*(4*z - 3*z + 2*z) + (-6 - 8*z**2 + 6)*(-2*z**2 + 2 - 2).\nAnswer: 13*z**4 + 3*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 3. Let p = 1232674 + -20949017\/17. Let t = p - 379. What is the second biggest value in 3, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 - 83 + u**3 - 26*u**2 as n*u**2 + l + r*u**3 + o*u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand o - 2*o**4 - o + (-2*o**2 + 4*o**2 - 5*o**2 + (-5*o + o + 2*o)*(-o - 2*o + 2*o) - 3*o**2 - o**2 + 3*o**2 - 11*o + 4*o**2 + 11*o)*(-3*o + 2*o**2 + 3*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -0*o - 504. Let i be 12\/30 + o\/(-10). List the prime factors of ((-4)\/10)\/(1\/i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -1.2  (b) -2  (c) 0.4  (d) 0.129  (e) -5  (f) 0  (g) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -12*n - 5. Let v be u(-5). Let a = 107 - v. Factor -11*t - t - 46*t**2 + 14*t**3 - 8 + a*t.\nAnswer: 2*(t - 2)*(t - 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -22*l - 8. Let o be r(-7). Suppose 0 = 5*j + c - o, -4*j + 5*c = -144 + 33. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 113 or 111?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -99*l. Let h(u) = -23959*u. Let o(c) = -485*f(c) + 2*h(c). Let b(w) = -6706*w - 6704*w - 6701*w + 20112*w. What is b(o(v))?\nAnswer: 97*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -64, 0, -2 in decreasing order.\nAnswer: 3, 0, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -66.7 - -63. Let u = -0.3 + k. Put 0.2, 2, u in ascending order.\nAnswer: u, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 3 - ((6 - 20) + -14 + 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 5:20 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 q when four letters picked without replacement from {l: 6, q: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**15*l*l*l**(2\/11)*(l**(-14\/11))**(-9\/5) assuming l is positive.\nAnswer: l**(1071\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3, 8, 4, 2, -1, -191 in decreasing order.\nAnswer: 8, 7, 4, 2, -1, -3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*l - l**2 + 2 - 22*l - 51*l)*(3*l**2 - 6*l**2 + 2*l**2).\nAnswer: l**4 + 86*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/885)\/(7384\/(-4615)))\/(3\/(-8))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 30500616?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-3 + -1) - (1 + 0). Suppose -5*b + 5*f - 6 = -31, 5*b - 15 = t*f. Suppose p - 9 = -k - p, b = 5*k - 2*p - 9. Solve k*m - 2 = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92 + 118 - 2*c**3 - 3*c**2 - 65.\nAnswer: -2*c**3 - 3*c**2 + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 375?  (a) -1\/7  (b) -5  (c) -2\/3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.19 - 3.19. Sort g, -1, -0.3 in descending order.\nAnswer: -0.3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**26\/a)\/(a*a*a**5\/a) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 5 = -3*i, -183*g + 93*g + 4*i = -93*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 9:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*q**3 + 21*q**3 - 47*q**3 + (q**2 + 3*q**2 - 6*q**2)*(q + q + q) + 3*q**3 - 2*q**3 - 3*q**3 + 4*q**3 + 4*q**3 - 4*q**3)*(2*q**2 + 3*q**2 - 4*q**2).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -36, -1, 2\/7?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 5. Let v(a) = 4*a**2 - a - 6. Let m(p) = -3*p**2 + p + 6. Let k(f) = r*v(f) + 3*m(f). Calculate k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1597 - 1742. Which is smaller: 2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.99 + 2. Let i = f + -0.02. Let o be ((-2)\/5)\/(14\/10). Is o at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(d - 8*d + 2*d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/183249 and 97\/3960?\nAnswer: 7329960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 0 - 160\/72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**2 - 92*s + 2*s**2 + 96*s + s**3 + 1 to r*s**2 + q*s + i + x*s**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - -23 - (-11 + 12). Suppose -v = 5*y + 4*v - 410, 170 = 2*y + 5*v. Suppose -2*s - h + y = 5*w, -5*s = 2*w - 24. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v**3 + 6*v**3 + 0*v**3)*(289*v - 300*v - 560*v - 272*v - 643*v) to the form y*v**3 + p*v**4 + r*v + b*v**2 + i and give p.\nAnswer: -10402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-106120)\/(-5550) + -19 - (-1)\/(-15)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**12\/a)\/a)**48*(((a\/a**(2\/29))\/a)\/a)**50 assuming a is positive.\nAnswer: a**(12370\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3675 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, 0, -0.026, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52710 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 319088?\nAnswer: 957264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 32*r**2 - 68*r\/3 + 10\/3 = 0?\nAnswer: 5\/24, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z**2 - 3*z + 17. Let d(q) = -q**2 + q. Let m(x) = -6*d(x) + k(x). Let p(s) = 5*s**2 - 4*s + 8. Give 6*m(r) - 13*p(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -323 - -324.77. Let y = t + -1.76834. What is y rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5420 (base 8) to base 2.\nAnswer: 101100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l + 3. Let g(y) = -3*y - 2. Suppose -21 = -q + 6*q - 4*k, -5*k = -q. Let d(b) = q*g(b) - 4*t(b). Find the first derivative of d(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/42*(-572)\/65.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/13014 and -149\/204?\nAnswer: 442476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand l - 2*l - l + (5*l - 1 + 1)*(1 - 1 - 3).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -18\/833, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of z**5\/60 + z**4\/4 + z**3\/6 + 10*z**2. Suppose 5*b + 0*b - 100 = 0. Suppose -b = p + 3*p. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j = -935 - 1507. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5\/21 - 1850*l**4\/21 + 7724*l**3\/21 + 271820*l**2\/21 + 171026*l\/7 + 83610\/7 = 0. What is l?\nAnswer: -929, -9, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**3\/13 - 16*u**2 + 5090*u\/13 - 20000\/13 = 0. Calculate u.\nAnswer: -125, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200210 (base 3) to base 5.\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131 divided by -18474.\nAnswer: -131\/18474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 648\/2520*(-15)\/(-27).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 1:22 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -13*d**2\/5 - 18169*d\/5 + 164574\/5 = 0?\nAnswer: -18286\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - (-1142)\/(-9))*(-249)\/(-332). Let y = t + 95. What is the nearest to 1 in 0.04, y, -1.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -75. Let d = -36 + z. Let n = d + -18.2. What is the closest to n in 3\/2, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 328043\/278145 + -10\/6181. Calculate the common denominator of c and 101\/2124.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41*m**2 + 5*m - 29*m - 10*m**2 wrt m.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 85 * -0.02.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 6:15 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k - 13. Let v be u(17). Let m be 16\/24*30\/v. Solve 2*h + 3*d - m = 0, 0 = 6*h - 3*h - d - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 219301012 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 3038\/25 and 121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37\/4 + -53\/3. What is the common denominator of v and 67\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1. Let g = -2.051 - -0.051. Put o, -5, g in decreasing order.\nAnswer: o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 12:35 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 divided by -165?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 404156866?\nAnswer: 2, 19, 773, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*j - 38 = 31 - 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174716 is divided by 58135?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9871701ng to micrograms.\nAnswer: 0.0009871701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2 + 1 + (-3 + (sqrt(162) - sqrt(162)*-2) - (-2 + sqrt(162)*1)))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -171 + 1199\/7. Let q = -75 + 72. Put q, -2\/7, o in increasing order.\nAnswer: q, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - (-1313)\/52)*296\/3 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 30\/640757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/(k*k**1)*k)\/k)\/k**(-4))**(-1\/36)*(k\/k**1*k)**45\/(k**0)**28 assuming k is positive.\nAnswer: k**(404\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102516 - 108339 - 68*d + 210855.\nAnswer: -68*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 36373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {c: 3, q: 1, w: 4, p: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q + 8 = 0. Suppose q*v - 231 = -5*i, 2*v - 3*v + 98 = -i. What is the remainder when v is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/22 and 81\/908192?\nAnswer: 9990112","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-152)\/(-8) - 21)*-5. Suppose 49 = 5*p - 16. Solve p = -v + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 0.76  (b) 16\/9  (c) 1  (d) -53  (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-1 - (2 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 1 + 41 = w, -2*w = -5*x - 80. Calculate the highest common divisor of 105 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*z + 5*g, -4*g + 511 - 487 = 0. Factor -1\/3*b**2 + b**5 + 5\/3*b**3 + 0*b + z - 7\/3*b**4.\nAnswer: b**2*(b - 1)**2*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6 and -0.65684.\nAnswer: -0.394104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*y - 17 = 0, 7 = -7*u + 3*u - 5*y. Suppose 23*s + 16 = 27*s. Calculate the highest common factor of u and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -93072556 > -93072558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 1 + sqrt(1539) + sqrt(1539) + sqrt(1539) + 6*-1*sqrt(1539) + -5 - -6*(6*(1 + sqrt(1539) - sqrt(1539)) - -2*(sqrt(1539)*-2 + sqrt(1539))))**2 + 3.\nAnswer: -9450*sqrt(19) + 347503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 93 = 2*j - 385, -5*n + 510 = 2*j. What is the greatest common divisor of 1505 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) + (-1*sqrt(119) - sqrt(119)))*6)\/(-1*sqrt(343) - sqrt(7)) - (6*(2 + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) - sqrt(1088)*3)))))**2.\nAnswer: -156816 + 9219*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 341 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 280044\/(-62232)*19\/(-3)*2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 + 3*a**3 - 3*a**3 - 2*a**4 + (204*a + 724*a - 127*a)*(0*a**3 - 5*a**3 + 4*a**3 + (3*a**2 + a**2 - 5*a**2)*(-2*a + 3*a + a)).\nAnswer: -2405*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**7\/504 + 29*g**5\/60 + 44*g**2. Let x(p) be the third derivative of m(p). Let u(r) = -r**2 + 3*r - 3*r. Calculate u(x(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 2:23 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 828 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2525, -7 in decreasing order.\nAnswer: 2525, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - q**2 + q + 1. Let m(w) = 401*w**3 + 11*w**2 - 23*w + 1. Let g(v) = a(v) - m(v). What is the third derivative of g(t) wrt t?\nAnswer: -2400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10436.9987 to 0 decimal places.\nAnswer: -10437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -h + 137. Let g = 217 - h. Let a = -47 + g. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*z - 95, z = -5*s - 0 + 19. Is z\/(215\/844 + (-17)\/68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/9  (b) -1\/3  (c) -1\/23  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 1. Let s(k) = -5*k - 3. Let t(n) = -10*d(n) - 2*s(n). What is the smallest common multiple of 6 and t(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**3 - 1588*n**4 - 3*n**2 + 3*n**3 + 1530*n**4 + n**2 - 2*n**4 - n**2 + (-n + 0 + 0)*(-n**3 + 3*n**2 - 3*n**2) + 5*n**2 - n**4 - 5*n**2.\nAnswer: -60*n**4 + n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -240 - -234. Let h = 0.2103 - 1.2103. What is the nearest to 1 in p, 3\/4, 1\/3, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4031753 divided by -1.\nAnswer: 4031753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 80.557447 and 0.2?\nAnswer: 16.1114894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**3\/5 + 9034*m**2 - 45172*m\/5 = 0.\nAnswer: -22586, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 - 339 = 55*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -203501*m - 1323312*m - 296005*m - 219696*m.\nAnswer: -2042514*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 121 - 14321100?\nAnswer: -14320424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 28.6981ug?\nAnswer: 28698.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -26*y**5\/5 + y**3\/2 + y**2 - 73*y. Let i = 20 + -21. Is 21 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1782.27 - -1756. What is x rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15310*k**4 + 43*k + 1115.\nAnswer: -183720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = y + 28, -2*s + 18 + 10 = 4*y. Suppose 0 = -5*d - s + 34. Solve 4 + d = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19213746?\nAnswer: 2, 3, 73, 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 12 = -5. Let x(m) = 14*m - 760. What is the smallest common multiple of x(55) and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 22 = 26. Suppose -5*w + 3 = -h. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104652 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 8 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1979 is divided by 392?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 14*s**2 - 11*s + 3. Let i be u(13). Let n = -59\/2 + i. Sort 2\/3, 4, 2, n.\nAnswer: n, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1316\/(-252) - -2) + -3*(-6)\/81. Sort 37, 5, 0, -5, t in decreasing order.\nAnswer: 37, 5, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 2*a + 4. Let t(c) = -c**2 - 23*c - 3. Let o be t(-22). Suppose 0 = -o*r - 32 + 70. Calculate n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 3:14 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 417407773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3\/5 - 6*i**2\/5 - 16*i = 0. Calculate i.\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -11*o**3 - 2056*o**2 + 188*o + 162. Calculate d(-187).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -713*x - 107. Let y be p(-17). Let b = y - 8079. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -286 - -288. Solve 3*p - 22 = 4*k, -d*p + 3*p + 14 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 567 - 271 - 285 - 18*s.\nAnswer: -18*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1203 (base 4) to base 8.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14209, 56857, 127939, 227455, 355405, 511789?\n\"Answer: 14217*u**2 - 3*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(847)*-6.\nAnswer: -132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -0.3, 1623\/5, 4, -1, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o - 25. Let w be y(-11). Let m be 9\/6*232\/(-6). What is the units digit of (m\/4)\/(w\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*d**3 - 19*d**2 + 19*d**2.\nAnswer: -63*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 229?  (a) 5\/6  (b) 1\/4  (c) 851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 2202613642?\nAnswer: -2202613636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmwzzzwwzznnnz. What is prob of sequence www?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3062895193?\nAnswer: 3062895193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {m: 1, a: 6, p: 1, t: 1, q: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -151656, -151656, -151664, -151686, -151728, -151796, -151896?\n\"Answer: -k**3 + 2*k**2 + k - 151658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2906*c**3 - 2908*c**3 - 65 + 64 + 70*c**2 as w*c**3 + v*c**2 + i + x*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -11.8 and -0.10469616005.\nAnswer: -11.90469616005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2865 or -2866?\nAnswer: -2866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20734660851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/752235 and -58\/2585.\nAnswer: 752235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2*(5 - -7). Suppose -x = -4*x + n. Solve k - 4*k - 6 = i, x*k = i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -5\/3*f**4 - 61 + 1\/5*f**5 + 0*f**2 + 4*f**3 - 2*f. What is x in l(x) = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*m - 4*m - 2*m)*(34 - 16*m - 33 - 15*m).\nAnswer: 651*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccig when four letters picked without replacement from eeeceggcccigceggg?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 46761879*c**4 + c**2 - 585855*c - 2 wrt c.\nAnswer: 1122285096*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -6. Let n be -4*(-3)\/(-36)*-3 - -2. Let q = t + n. Put -4, q, -5 in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 6*c**2 - 2*c + 14. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/3  (b) -0.2  (c) 0.2  (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9528667ug?\nAnswer: 0.0000000000009528667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (6*(sqrt(9)\/sqrt(3) + 1))**2.\nAnswer: 72*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a**3 + 3*a**3 - 3*a**3 + (-2*a**2 + 0 + 0)*(383*a + 471*a - 683*a)*(-5 - 1 - 1).\nAnswer: 2391*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5180b - 20?\nAnswer: -5182b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -13*r - 141. Let p(g) = 4. Let l(t) = -5*p(t) + q(t). Let n be l(-12). Let x(a) = -a**3 - 5*a**2 + 3*a + 1. Determine x(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**4 - 4316*f**3 + 4997428*f**2 - 734721312*f + 28978933824.\nAnswer: (f - 2076)**2*(f - 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (12 - (9 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-74 - (-51 - -6 - -33)) + 13 + 0?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z - 32800. Let m be u(0). Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-2 + 0) + 1. Suppose 5*s + 0*s - 136 = -3*j, -j = n*s - 46. Calculate the highest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 26. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/(-10)*(-15)\/3. Let a be (-4)\/(-2 + 2 + -2). Let m(r) = r**3 - 4*r**2 + 3*r - 1. Let t be m(a). Sort t, 1, b in ascending order.\nAnswer: b, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, 4066, 11061, 20854, 33451?\nAnswer: 48858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -192493 and -192493 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 108*(-1)\/(2*-1). Suppose 2*v + 12 = 2*c - 0*v, c + 2*v - 9 = 0. Let u = 13 - c. What is the highest common factor of u and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 3*f**2 + 6*f + 5. Let a be b(-4). Put a, 2, -2 in descending order.\nAnswer: 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (918\/(-612))\/((-9)\/4). Let w = 9 - 10. Let t = -1 + 2. Which is the closest to w?  (a) d  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*v + 5541131 = -10035049. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 615563 is divided by 947?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 63225923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332*s - 819*s - 353*s - 957*s - 1186*s.\nAnswer: -3647*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 45518 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1369035 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-2)\/30)\/((-75)\/37500*80)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 8:38 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162)\/sqrt(6)*-3.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6797 + 13589 - 6792 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 9*g**2 - 5*g - 7. What is j(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 - -104?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*s - 2673 + 3729 = -42*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54743091.\nAnswer: 3, 13, 37, 59, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 2*d + 5. Let n be y(0). Let z(b) be the second derivative of -5*b**3\/6 + 7*b**2\/2 - 7*b. What is z(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*m - 280. Suppose 0 = -5*f - 1 - 9. Let w be 12 - 1 - ((-10)\/f - 2). What is the highest common divisor of m and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3154601?\nAnswer: 71, 157, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(3 + 2*-1). Let v = 6 - h. Suppose -v = -2*g + 25. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1313032 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*l - 212 = -100*l - 1184 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in 34, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -144, 0, -3, -5 in increasing order.\nAnswer: -144, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000064239 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggpgggpgggpg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*i = -180. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 10 + 5. Sort 4, 5, 2, k in decreasing order.\nAnswer: 5, 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -20. Let l be 7\/14*1*h. Factor 0*f + 0*f**4 + 0 - 2\/5*f**l + 4\/5*f**2 + 6\/5*f**3.\nAnswer: -2*f**2*(f - 2)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(((-960)\/16)\/(-5))*45\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 9:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-5)\/p*p)\/p**(3\/5))\/((p*p\/(p*p**8))\/p**(-2\/9)))**(-45) assuming p is positive.\nAnswer: p**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 (base 8) in base 3?\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104 - -106. Factor 2\/9 - 2\/3*t**i - 4\/9*t.\nAnswer: -2*(t + 1)*(3*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -7*j**5\/5 + 2*j**2 + 7. Find the second derivative of c(w) wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by 144779?\nAnswer: -16\/144779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 2*d - 8 = 0, 4*f - 7*f - 6 = -4*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.18331 - -3.01999. Let s = i - 3.2. What is s rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)*-2*4*4)\/(sqrt(486) + -6*-1*sqrt(486)))**2.\nAnswer: 11264\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28332 + -28335. Which is the closest to d?  (a) -2\/15  (b) -0.6  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 + -13. Let v = z + -27.47. Let i = -0.18 + v. What is i rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14925166 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + 2*sqrt(5) + 3.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(242) - (-4 + -2*sqrt(242))) - (-3 + -3 + sqrt(242) + 1))**2.\nAnswer: 308*sqrt(2) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29 + 29 + 18 - 11 + 7*x**2 + 17*x to a*x + g*x**2 + q and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of -q**8\/20160 + q**7\/840 - 7*q**6\/720 + q**5\/12 - 8*q**2. Let b(k) be the third derivative of g(k). What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t - 30. Let b(d) = d**2 + 28 - 26 - 2 - 29*d**2. What is b(v(k))?\nAnswer: -252*k**2 + 5040*k - 25200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -373*n**3 + 2*n**2 - 7*n + 4. Let b be d(1). Let y = 430 + b. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - m - 1. Let z(w) = -w**2 - 3*w. Let r(y) = -y**2 + 10*y - 7. Let p be r(9). Let a(v) = p*o(v) - z(v). Give a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 12:55 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 28 + 128*d - 10 - 65*d - 64*d. Let h be y(16). Solve -5*k + q = 8, -2 = 3*k + h*k + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11689 - -11692. Solve -2*h = h - q, 2*m + 5 = -3*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/23)\/m*m*m)\/m)**(-50)*(m*m*m**(-2\/29))**(13\/3) assuming m is positive.\nAnswer: m**(-87656\/2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 293*a + 1888. Suppose -2*t = -3*t + 34. What is the remainder when n(-6) is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + -3. Let q be (-40)\/(-18) + 2\/a. Find the second derivative of 0*p + 3*p**3 - q*p**3 + p wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*y + 0 - 6*y**3 - 11*y - 3 - 6*y to f + v*y**3 + d*y + z*y**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 5, y: 12, m: 2}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 5*k**2 - 3*k + 1. Let o = -78 - -81. Give c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2240051548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 2*c - 5*h, -93*c - 14 = -88*c - 2*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(6) + 4*sqrt(6)) + -4.\nAnswer: -4 + sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -336, -322, -316, -318?\n\"Answer: -4*y**2 + 26*y - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + (95 - 106)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 7*u**2 - 17*u - 9. Let j be o(9). Suppose j = 5*v - 13*v. Is 2\/3 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 4:00 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -4055*f + 4067*f + 220, 0 = 7*f + 2*x + 141 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 191, 770, 2339, 5390, 10415, 17906, 28355?\nAnswer: 42254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57 and 396244829.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 334 + -150?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-6900)\/(-828)*231*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1816.18153 rounded to one dp?\nAnswer: 1816.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -1462 and -1461 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -1\/20*y**5 + 0*y**2 - 3*y + 0 - 1\/2*y**3 + 0*y**4. What is the second derivative of i(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9432.642 minutes?\nAnswer: 565958.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(30\/(-5))*15*(-48)\/9240?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5730 - 4?\nAnswer: -5734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 5*g - 63. Let x be l(6). Suppose x*n - 3*o = 21, -2*n - 3*n + 2*o + 38 = 0. Solve -26*m + 30*m - n = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*z**2 + 70*z**2 + 4 - 4 + 70*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**3 + 240*n**2 + 3840*n + 20480.\nAnswer: 5*(n + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) 74\/5  (c) 4  (d) -5  (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-80)\/(-6) - (-8)\/12. What is the highest common factor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4*x + 12 = 0. Solve -5*b + 10 = 3*g, 2*b - 4 = -0*g - x*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13247\/8700 - 13\/348. Let k = 370 + -1857\/5. Find the common denominator of i and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 r when three letters picked without replacement from sosrosoeokessrs.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12902*l**3*y - 2*l**3 + 10461*l**2*y + 418479*l**2 + l*y + 4*l - 3 with respect to y.\nAnswer: 12902*l**3 + 10461*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -16*a. Let p(g) = 46*g + 1. What is 7*m(z) + 2*p(z)?\nAnswer: -20*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 + 81*v**2 + 35*v**2 + 9*v**2 + 18*v - 18*v + (-2 + 0 + 3)*(5*v - 5*v + v**2).\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 223*d**3*y**4 - 1166*d**3*y**3 + 2023*d**3*y**2 + 6*d**3 - 3*d*y**2 - 2*y**4 wrt y.\nAnswer: 5352*d**3*y - 6996*d**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -260 - -422. Let p = 165 - y. Put -0.5, 0.1, -0.3, p in descending order.\nAnswer: p, 0.1, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.491 + 0.191. Which is the nearest to -2\/23?  (a) -3  (b) 2\/5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**5 - 13*f**4 + 23*f**3 - 11*f**2 = 0?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xmfhyfmxfmyyyyfy. Give prob of picking 1 f and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of (-33)\/(-88) - (-4421)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n + 16*n - 10*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -767 + -204?\nAnswer: -96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/((-140)\/130) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/6)\/(-5*(-4)\/20)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 1347*q. Let l(g) = -4*g**2. What is n(l(i))?\nAnswer: -5388*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231 - -230.8. Let t(l) = 6*l - 2. Let f be t(1). Suppose 5*m = -5*h + 50, -2*h + 44 = f*m - 0*h. Which is the closest to -0.1?  (a) -0.3  (b) q  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*2\/4 + 1. Suppose h = -3*v + 1 + 26. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n - 120. Let s be k(25). What is the nearest to 15 in -0.1, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-49)\/14)\/(-7)*2*1649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 2181*m. Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13264473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -2 - (17 + -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3 + 6090*u**2 - 2255844*u + 4487312.\nAnswer: 2*(u - 332)*(u - 2)*(u + 3379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - c + 9 = 0. Let k(n) = n + 5. Let m(g) = g + 4. Calculate c*m(t) - 2*k(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -115.89 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3989b42 (base 13) in base 14?\nAnswer: 2586142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 3 + (2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 50*g**3 + g**2 + 3*g + 3. Let m be u(-2). Let w = -190 - m. Let x = w + 451. Round x to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*i**2 + 25*i**2 + 1230 - 3685 + 1230 + 1225.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 + -23. Suppose 0 = -o*m - 2*m. Solve m = 3*y - 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 2\/3, -3\/4081, 187 in descending order.\nAnswer: 187, 12, 2\/3, -3\/4081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**4 - 6*s**2 + 6*s**2 + 0*s**4 + 3*s**4 - 4*s**4 + (0*s + 2*s - s)*(-4*s + 4*s - 2*s**3) + 2*s**4 - s**4 + 0*s**4.\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4615420766450*j**2\/9 + 85070440*j + 3528.\nAnswer: 2*(1519115*j + 126)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1171515406 + -2780.16?\nAnswer: -1171518186.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 61*z - 8. Let j be i(65). What is the highest common divisor of 448 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2804355 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 34815928 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (847*p + 1110*p - 101*p - 142*p - 85*p)*(0 + 0 - 3)*(-11 + 9 - 10).\nAnswer: 58644*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62377842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/(-50472)*(1 - 10\/4). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 - 42. Let q = -7 - -7.3. What is the second smallest value in q, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6)*y)**(-20\/7) assuming y is positive.\nAnswer: y**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99002 and 19297?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 17*q**2 + 332. Let v(d) = 4*d**2 - 2. Give h(v(o)).\nAnswer: 272*o**4 - 272*o**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1511276 plus -37.571?\nAnswer: -1511313.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/6)\/((-2)\/2874). Suppose f = 5*m - 221. Suppose -4*j + m = 3*j. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 5*o**2 + 8*o + 85. Let z be h(-6). Let c(x) = -2*x + 23. Let a(s) = 1. What is z*c(k) - 6*a(k)?\nAnswer: -2*k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 29*n**2 + 30*n + 61. Let m be b(-28). Suppose -2 = -4*t + 54. Let i = -4 + t. What is the greatest common divisor of i and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2466*k**3 - 930*k**3 - 336*k**3 - 5*k**3 + 0*k**3 + 4*k**3 + (-4*k + 5*k - 3*k)*(6*k**2 - 2*k**2 - 2*k**2) + k**3 - k**3 - 2*k**3.\nAnswer: 1193*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, g: 1, n: 3, o: 3}. Give prob of picking 1 w and 1 o.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347 - 253*n**3 + 175 + 18*n**3 + 172.\nAnswer: -235*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and ((-351)\/26 + 12)*(-8 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 3*v + 7 = 0, v + 17 = 3*k + 2*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s + 135*s - 2485 = 1727 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25550 and 3150.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 110000000011010 (base 2) to base 15\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -19. Let r(g) = 7*g**2 + 2 + 15*g**3 - 8*g + 5*g**3 - 30*g**3 + 9*g**3 + 0*g**2. Give r(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/4710 and -82\/45?\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4883, -4880, -4877?\nAnswer: -4874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(272)*-5 + (sqrt(17) + (0 + 3*sqrt(17) - sqrt(17)) - sqrt(17)).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.050734324592969 + 0.4\nAnswer: 0.450734324592969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -958.551 - -960. Let p = a + -9.519. Let q = p - -0.17. What is q rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**4 - 19761*m**2 - 1016298*m - 1 wrt m?\nAnswer: -24*m**2 - 39522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*k - 24 = -2*a, 3*a - 13 = k. Solve -a = -4*g + t - 0*t, -g + 3*t - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1676 a factor of 514981168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.293352 years to months.\nAnswer: 3.520224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(-1 - (2 + 2)). Let n = -151 + 159. Let s(g) = -z + n - 7 + 2 - 4*g. Calculate s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 5*g - 33. Let f be j(-7). Calculate the highest common factor of 357 and f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1211731993 to the nearest integer?\nAnswer: 34810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -13*y + 6. Give b(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.8275mm to centimeters.\nAnswer: 7.68275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/63)\/(((-5)\/3)\/5). What is the closest to v in 0.1, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107938726 is divided by 565?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*s**2 - 14726 - s**2 + 14726.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92667458 to the nearest integer?\nAnswer: 9626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-28)*g**(-24)\/g*((g*g*g\/((g*g\/g**(-3\/2)*g)\/g))\/g)\/g**(4\/5) assuming g is positive.\nAnswer: g**(-553\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 35358 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 37\/2 of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2) - 45\/(-6). Let k = l - 5. What is the units digit of (-4 + 3)\/(k\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -14*a + 205. Calculate the remainder when 178 is divided by x(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 9:54 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.16154 and 5.\nAnswer: 0.8077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of z**4 + 2*z**3 - 618*z**2 + 155311*z wrt z?\nAnswer: 12*z**2 + 12*z - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of z**6\/360 - z**5\/120 + 2*z**3\/3 + 2. Let l(j) be the third derivative of d(j). Is l(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 3*c**2\/5 + 1118448*c\/5 + 104243827392\/5 = 0.\nAnswer: -186408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 2:50 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16827130 a multiple of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - f - 0*f, f = 5*t + 12. Which is the biggest value?  (a) -4  (b) 0.2  (c) 0  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23074821 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*s - 17*s = -36 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) -1  (c) -144\/1243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4009475 and 34960?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39282 + -39260. Solve -8 = -2*g + 3*u, b*g - 2*u = 20*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83397247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 3*f + 4. What is the lowest common multiple of d(-3) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4 = 0, 58 = 3*q + a + 4*a. Suppose 2*h = 2*k - k, 0 = -3*k - h + q. What is the remainder when 6\/8 - (-1365)\/52 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y**3 + y**2 - y - 2. Suppose -9*m + 18 + 63 = 0. Calculate the remainder when a(2) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -2*d + 318, c - 40 = -5*d + 35. Find the common denominator of (-710)\/c - (-6)\/3 and -27\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16868307*q**3 + 100129562*q**2?\nAnswer: -101209842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 - 33\/(-3) - -841. Suppose -u*l = -849*l + 8. Solve 3*i - l*i = -y, 4*i + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5 - 10*i + 0 - 13*i**2 + 15*i**2 + 4. Determine g(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j - j - 100 + 5*j + 100.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/((-160)\/(-348))*(-279)\/(-372)*(-100)\/15.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202222 + -202?\nAnswer: 202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, n: 1, i: 2, e: 1, p: 2}. What is prob of sequence eiif?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -3, -350\/17579 in ascending order.\nAnswer: -3, -0.2, -350\/17579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-4))\/(6\/232). Suppose -23*k + 28*k + 10 = 0. Let l be ((-1)\/k)\/((-3)\/(-174)). What is the highest common factor of o and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - (-6 - 5)) + (-9 - -9) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -6493*u**2. Let x(f) = 2*f. Determine x(t(b)).\nAnswer: -12986*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3156586713 to the power of 1\/2, to the nearest integer?\nAnswer: 56184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1521 is divided by 7 + -17 - -447*(-3)\/(-9)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 - 35*q**2 + 69*q + 222. Give s(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from nubddbcv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + -5*(0 + 1*sqrt(2057) + sqrt(2057) - ((1 + sqrt(2057))*-6)**2)) + -1.\nAnswer: -2222671 - 23100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = -6*u + 583. Let j = u + -239\/3. Is j smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u = 22. Let y = u - -7. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1\/18 - -1\/2. Let h = -11 - -11. Let p = -119 + 1787\/15. What is the closest to 0.4 in p, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -636.87627 to 1 decimal place.\nAnswer: -636.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -631*r - 6922. Determine u(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 7*u + 23. Which is the smallest value?  (a) 0.6  (b) 0.4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -308, -306, -302, -290, -264?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.5, 1\/6, 5, -7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 107 = 3*c, 4*c - 74 = 2*c + 4*p. What is the greatest common factor of 319 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 8494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 - -161?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.22 - -0.245. Let g = k - -23.975. Let d = 24.005 - g. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1099605 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 284054, 284053, 284052?\n\"Answer: -v + 284055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -2. Let m(q) = -q**2 - 8*q - 1. Let n(t) = 2*t**2 + 7*t + 2. Let d(i) = y*m(i) + 3*n(i). Is d(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 6*y**2 - 7*y - 7. What is the remainder when l(-6) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177415 is divided by 437.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6825594 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 15, n: 5}. What is prob of sequence ffnf?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.29?  (a) -1  (b) 5  (c) -0.5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*m**2 - 684*m + 2 + 2 + 650*m - m**2 as n*m + g + f*m**2 and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3390660 and 855.\nAnswer: 64422540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (0 + (-1)\/(-2)))*2. Let x(p) = -11*p + 9. Let k(c) be the first derivative of 3*c**2 + 0 + 7*c + 1 - 12*c. Give j*k(h) - 4*x(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - 2*sqrt(66)*1 - sqrt(66) - ((-1*sqrt(66) - sqrt(66)) + sqrt(66))*-3)\/(-2*(sqrt(6) - (sqrt(726) + (sqrt(726) - -1*sqrt(726)) + sqrt(6)))).\nAnswer: -5*sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 + -5 - -4) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 709.0359km to micrometers.\nAnswer: 709035900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18337 + 25730. List the prime factors of f.\nAnswer: 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: (14\/8)\/((-66)\/264)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5 - 15 = 0. Let y be (-9)\/(-9) - v*1. Let d(w) be the second derivative of -w**5\/20 + w**4\/3 - w**3\/2 + 2*w**2 - 3*w. What is d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253078 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(14\/11)\/(b*b**(2\/9)) assuming b is positive.\nAnswer: b**(5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20082, 40163, 60244?\nAnswer: 80325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.084561ng to grams.\nAnswer: 0.000000002084561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2272\/20)\/(((-2)\/(-15))\/((-92)\/(-12)))?\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5 = 4*u, 11*d = 5*u + 10*d + 1. Let s(x) be the third derivative of -1\/60*x**5 - 5\/6*x**3 + 11*x**2 + 1\/3*x**4 + 0 + u*x. Determine s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/25))**(3\/5) assuming l is positive.\nAnswer: l**(-6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*r**2 - 57*r**3 + 204 - 105*r**3 + 183 with respect to r.\nAnswer: -486*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, a: 4}. Give prob of sequence iiaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 387\/4 + (-38 - -25) + 689\/52.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 5*m. Let d(i) = i**2 - i - 1. Let k(w) = 1356*w**2 - 2034*w - 2034. Let x(f) = 2034*d(f) - k(f). What is x(b(c))?\nAnswer: 16950*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j - 52. Let u be m(7). Solve 24 = 5*h + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-15)*1)\/(44*25\/2750)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**8\/560 + m**7\/280 + m**6\/120 - m**5\/40 - 5*m**3\/6 - m. Let p(w) be the second derivative of a(w). Factor p(s).\nAnswer: -3*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/7 - 1101566\/(-553826)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fjfv when four letters picked without replacement from vjfvfjjf?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.9502036 nanograms?\nAnswer: 0.0000000000009502036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 26880 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 102 = -2*c, 4*c - 164 = 5*m - m. Let y = c - 13. Is 5 a factor of y\/(-2)*3\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13423574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26268*a*o**3 - 3*a*o**2 - 1041*a + 161*g*o**3 - 7*g*o**2 - 13*o**3 - 2*o**2 - 529 wrt o?\nAnswer: 157608*a + 966*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 2 - b)*(2 + 3 - 7) - 1 + 1 + b - 328470 + b + 328376 - 3*b)*(3 - 5 + 1) to the form h*b + c and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*v = 5*w - 75, -5*v = -2*w - 5. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, a: 3, r: 1, h: 10}. Give prob of picking 1 a and 3 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96\/5*o - 68*o**4 - 14\/5*o**5 - 82\/5*o**3 + 0 + 68*o**2 = 0. What is o?\nAnswer: -24, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -326530, -1306080, -2938664, -5224282, -8162934, -11754620?\nAnswer: -15999340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7901821 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 8:46 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 + 5 + -23 + 72 + (9 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-601)\/(-1202))\/((-3)\/114)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, -1, 3, -5 in descending order.\nAnswer: 64, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 693 = -4*r - 703, -r = -2*g + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3476 is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 468421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -43\/1777?\nAnswer: -43\/1777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236*f = -228*f - 72. Let r(w) = w**2 + 2*w - 5. Let x be r(-4). Solve x*j - f = 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from ghhghggg.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3027719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12164040 by -57924.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.32 + -434.32. Let k = y - -425.000893. What is k rounded to 5 decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 15*c**2 + 22. Let p(m) = -77*m**2. Give h(p(b)).\nAnswer: 88935*b**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 126*d - 693. Calculate k(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x - 1. Let m(z) = 5*z. Let d(q) = -m(q) - y(q). Let t be d(1). Let i = 4400 - 4397. Put i, 4, t, -2 in increasing order.\nAnswer: t, -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715.455067 rounded to the nearest ten?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1629 (base 14) to base 4.\nAnswer: -331311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 5:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-27665)\/(-1) + (-75 - -79) a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0 = -24. Let d be (-7)\/j + 4\/12. Sort -1, d, -6 in ascending order.\nAnswer: -6, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 3790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-52474)\/(-4))\/(143\/(-4) + 36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6999 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1841633 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 30*t - 8. Let n be p(2). Let l be 240\/(-5 + n\/8). What is the highest common factor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 0)*5\/1. Suppose 15 = m*r + 5. Factor -2 + 2*p**5 - 7*p**4 - 4*p**3 + 2*p + 3*p**4 + 4*p**r + 2*p**4.\nAnswer: 2*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = r - 4*r - 16, -k + 4*r = -8. Suppose 22*g = 1415 - 1525. Put -4, k, -3, g in decreasing order.\nAnswer: k, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**6\/180 - o**3\/6 + 3*o**2. Let d(a) be the first derivative of z(a). Let w(b) = -3*b**2. What is d(w(c))?\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 16 + 9. Let h(r) = 13*r - 5. Let y be h(d). Suppose -5*i = 5 - y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*z + 299*z = -296*z + 41907 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4) - 5*1\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = 2*m, 5*s = m + 4*s - 3. Suppose 0 = -5*l - 2*u + m - 1, 2*l = 3*u + 5. Differentiate l + 0 + 2*y**2 - 2 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4*sqrt(143)\/(sqrt(22)\/sqrt(2))*-5 + (-1*(sqrt(117) - 1*sqrt(117)) - sqrt(117))\/(sqrt(900)\/sqrt(4))).\nAnswer: 303*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a\/((a**(-2)\/a)\/a))**2 assuming a is positive.\nAnswer: a**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*h - 6 + 6 + 2)*(-2*h**3 + h**3 + 0 + 1).\nAnswer: 7*h**4 - 2*h**3 - 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x - 7. Let r be i(-6). Suppose -r*g = 4*o - 0*o - 46, 2*o = -3*g + 22. Calculate the remainder when o is divided by 5\/(-2)*(-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.05  (b) -36876  (c) 4\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 3956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.3918632 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1657 (base 11) in base 12?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = b - 39. Suppose 13 = 3*w - 140. What is the highest common divisor of b and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14039 divided by -6?\nAnswer: -14039\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5 - 4*l**4 + 6*l**3 + 16*l**2 + 8*l = 0. What is l?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 2, -4*l = 6*j - j + 3. Let a(c) = 16*c**2 + 6*c + 4. Let n be a(l). Suppose -z = z - n. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -10*x + 3. Let a(c) = -66*c + 20. Let r(v) = -3*a(v) + 20*t(v). Let b(y) = -191*y + 1. Give r(b(m)).\nAnswer: 382*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -625058 or -625057?\nAnswer: -625058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1661747627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 + -85 - 93\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-77)\/(-14) + -7)\/(6\/(-400)). Is (r - -1)*(-1305)\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**2 + d**2 - 3*d**2 + (-4 + 3 - 1)*(-5*d + 2*d**2 + 5*d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10310289 is divided by 1133?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27158532 a multiple of 677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 7 + 4 = 0, -t - 35 + 88 = 5*a + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 4*y - 1100, i + y - 370 = -y. What is the greatest common divisor of 46 and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38363606 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 143 + -140. Solve -k + 8 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010111101100011 (base 2) in base 7?\nAnswer: -2024050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ejuuuejjjeccccu. Give prob of picking 1 c and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -786, -0.0119, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-5\/6)*j*j**(6\/13)\/j*(j**(3\/10))**(-39) assuming j is positive.\nAnswer: j**(-2354\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/76)\/((-10)\/(-8)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 6 = 0, 3*y - 2*y = g + 45. Calculate the remainder when 300 is divided by y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1409 + 3689. List the prime factors of a.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 - 3.8. Let y(g) = g**2 + 9*g + 6. Let v be y(-8). Let s be ((-16)\/(-64))\/((-53)\/265). What is the smallest value in -2\/17, s, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 + 43.2152. Round w to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1340515 (base 7) in base 13?\nAnswer: 62cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/2 + (-3)\/(-6). Let w be (-184)\/18 + r\/(-9). Which is the second biggest value?  (a) 0.3  (b) -2\/7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5\/3 + 176*t**4 + 65819*t**3\/3 + 162328*t**2 - 271644*t - 2960208 = 0. What is t?\nAnswer: -337, -183, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 175928.\nAnswer: 527784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61 - 59. Let a = 86\/69 - -2\/23. Sort a, o, -0.3 in descending order.\nAnswer: o, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 151.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q - 106 = -10 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 10066*z - 231557. Determine h(23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106 and 616396943?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 309 and 26641053.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16179090 by 1078606.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65 (base 7) to base 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 5*n = g - 3, -3*g = 4*n - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.78796 to 2 dps.\nAnswer: -7.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1936959823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 27*i**2 + 76*i + 98. Let w be d(-24). Solve w*t - 5*v + 3*v - 18 = 0, 5*t - 33 = v for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from mwwynwnywuumu.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*z - 24*z - 26*z + 11*z to v*z + u and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72 - 41. Let f = 30.8 - i. Let q = -239.98 + 240. Which is the third biggest value?  (a) q  (b) 4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - -1 - (-2)\/1. Let c be 2\/6 - (-5)\/b. Suppose -c*z = -z - 12. Solve 2*s + 0*s - 6 = m, 4*m = -s + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5927.876 from -289.\nAnswer: -6216.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 352.6117g?\nAnswer: 0.3526117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 2*r + 1. Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**2 + y - 8. Let f(j) = -4*j**2 - 7*j + 20. Let c(p) = 6*p**2 + 8*p - 21. Let a(w) = 5*c(w) + 6*f(w). Give -6*a(k) - 11*i(k).\nAnswer: -3*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, 508 in ascending order.\nAnswer: -3, -2, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 36. Calculate the highest common factor of 66 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200557 and 4802?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 563435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2700 and 7180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 - -33. Suppose 3*n + 478 = 19. Let k = n - -160. Calculate the remainder when y is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -79) + (-16 - -24) + -27?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6479)\/17391*18\/(-57)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = -4*l - 5*d, -43 - 11 = l + 3*d. Suppose 0*n = -2*n - 90. Let w = n - l. Which is bigger: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f*((f*f**1\/f)\/f)\/f*f)\/f)**(1\/45)\/(f**3\/f*f**(2\/7)) assuming f is positive.\nAnswer: f**(-706\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2700, 2699, 2698?\n\"Answer: -d + 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205093 is divided by 565.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - 0. What is the remainder when 16 - b\/3 - 0 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 0  (c) 0.4  (d) -0.6  (e) 402  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -30. What is the nearest to 3 in -1\/4, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 66474 + a**2 + 2*a + 66454 - 132909. Determine d(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(29\/(-2) + 4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3\/3 + 8*u**2\/3 + 4*u\/3 - 8\/3.\nAnswer: -4*(u - 2)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 5*y**2 - 8*y + 6. Determine t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 7*o + 5*o - 4 to k + w*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -364.733 - -0.733. Let u = -364.000000325 - j. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13419*t**3 - 14653?\nAnswer: 40257*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17218939 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 232.7665 weeks to minutes.\nAnswer: 2346286.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 2*k = 27. Solve -k*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v + v - 129*v**3 + 126*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (27\/(-5))\/(20\/(-100)). Suppose 0 = -5*u - b, 2*u + 3*b - 8*b + j = 0. Let f(w) = -7*w**3. Let r(a) = a**3. Determine u*f(n) - 6*r(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 1862063.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, n: 1, a: 1, d: 4}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -497, -1641, -3425, -5849, -8913, -12617?\n\"Answer: -320*k**2 - 184*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 175*a - 283. Let n be k(2). Calculate the greatest common divisor of 1139 and n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 513 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -612 divided by 1.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172*o**2 - 74*o**2 - 79*o**2 + 167*o - 105.\nAnswer: -325*o**2 + 167*o - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(1\/2))**(-2\/37)\/((j\/((j\/j**(-2\/5))\/j))\/(j\/(j**(-1\/3)*j))))\/((j*j**(-2)*j)**(-2\/29)*j**(5\/6)\/j**(-2\/21)) assuming j is positive.\nAnswer: j**(-9497\/7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10 - 4 - 4 - -4. Suppose -f*t = -t - 15. What is the third derivative of 2*s**3 + t*s**3 - 5*s**2 - 6*s**3 + s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + -7 - 1185\/(-33).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**5\/7 + 48*z**4\/7 + 84*z**3 - 29086*z**2\/7 + 244101*z\/7 - 490050\/7 = 0. What is z?\nAnswer: -27, 3, 11, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 303, -1, 9, 2.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gjjjgg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)\/sqrt(4) + sqrt(1331) + sqrt(1331) + 3*sqrt(1331))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00707795 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -5 - (10 + 20 + -36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 60923 in 3, -0.11, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3526606320?\nAnswer: 2, 3, 5, 14694193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 359086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 511337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times -316814\nAnswer: -3168.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*18\/(-60)*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.68292 and -20017?\nAnswer: -13670.00964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185772129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 10 = -5*y, 2*i + 13 = -0*i + 5*y. Let q = 35 - i. What is the remainder when 101 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -261 + -b6?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 - 2*v + 10. Determine i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4703, -9413, -14125, -18839, -23555, -28273?\nAnswer: -32993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 128 (base 14) to base 7\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -4565 and -4563 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of p**5\/30 + 27*p**2\/2 + 13*p - 1. Let h(k) be the first derivative of v(k). Let j(a) = 15*a**2 + 1. Give h(j(m)).\nAnswer: 450*m**4 + 60*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 3) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 1 - (-7 + 22)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a8 (base 11) in base 15?\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-3)*-27*26\/(-117)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 9*p**2 - 8*p + 3. Let z be l(8). Solve 2*i - 3 = z*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1646652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand v + v - 6*v + (3 - 4 + 2)*(-2*v - 2 + 2) - v + 0 + 0 + 1 + v - 1 + (0 + 0 + 2*v)*(6 - 4 - 4) - 1 + v + 1.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*g + 39 = -8, -3*n - 5*g = 1. Let d(h) = -2*h**2 + 18*h - 12. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 887 = 673. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 315 + -318. Which is the closest to 2\/9?  (a) q  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*(k\/(k*k**10))\/k*k)*k**15 assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1182659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + 29*p - 96. What is f(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 19312.6572ns?\nAnswer: 0.000000000223526125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41.04837km?\nAnswer: 4104837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 10, 5*m + 333 = -4*t + 2116. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7764.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -11*x - 9. Is i(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27527 divided by -6.\nAnswer: -27527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2104*u + 218 - 88 - 128 + (5 - 3 - 4)*(2*u + 1 - 1) + u - 5*u + 5*u as k*u + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144985652.\nAnswer: 2, 7, 23, 225133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from hdhhdqrhdh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 6 = 5*t. Let v be t\/((-9)\/6) + 89. Suppose 4*h = v + 1. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 7*a**2 + 11*a - 4. List the prime factors of t(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h**2 - 11026*h + 492 + 11024*h - 32 as x + s*h**2 + a*h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*o + 13*o + 10*o - 37*o**2.\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - 70. Let f be 1\/(-2) + 54\/(-4). Let y be 2\/(-7) + f\/g. Solve y = -l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(-1)\/3*6\/(-4)*-976. Is -976 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -25, 2, -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 4*j + 27. Suppose -l + 28 = j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = k + 53, -o + 10*k + 9 = 9*k. Suppose o*p = 16*p + 17250000. What is p rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvuuvxxu. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 2*x - 2. Let m be l(-4). Let s(q) = -7*q**3 - q**2 - 35*q - 12. Let h(o) = 9*o**3 + 42*o + 13. Let u(i) = -4*h(i) - 5*s(i). Calculate u(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -437766 + 437784. Let v = 6 - 0. Let s be (-12)\/(-7) - v\/(-21). Solve 4*u + x = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(1*-2) + (-266)\/(-114). Let r = -0.3 + 0.8. Let u = r - 0.2. What is the nearest to -1 in -0.5, g, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4516, -4511, -4508, -4507, -4508, -4511, -4516?\n\"Answer: -h**2 + 8*h - 4523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 3)*(3*w**2 - w**2 - 5*w**2 + (-57 + 57 + 11*w)*(w + 2*w - 4*w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 50, 159, 362, 689, 1170, 1835?\nAnswer: 2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26341 at most as big as 26341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(1\/7))\/(h\/h**4)*h**(-5)\/(h\/(h**(1\/4)*h)) assuming h is positive.\nAnswer: h**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 555356 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -229731713*i**6*z**3 - 122*i**2*z**2 + i**2*z - i*z**3 - 27067*i*z**2 - 2 wrt i.\nAnswer: -27567805560*i**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2516 + -1489. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21601 + 21601.05. Let c = 1 + 0. Let o = 0.9 - c. Sort t, -0.2, o in decreasing order.\nAnswer: t, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -241.6 - -242. Which is the second biggest value?  (a) o  (b) -2\/7  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*g**2 + 392*g**2 - 18*g**2.\nAnswer: 444*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -1\/2*k**2 - 1 + 12*k. Suppose -6*p + 5*p + 6 = 0. Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssswaadsassswsas. Give prob of sequence sssa.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/((-5775)\/90))\/((-8)\/(-264*1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*(l**14\/l)\/l*l*l**(1\/11) assuming l is positive.\nAnswer: l**(155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 + 748*q**2 + 4515*q + 6786.\nAnswer: -(q - 754)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8123630 divided by -2.\nAnswer: 4061815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 - 2) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 - 1. Let c = 1.2625 - 2.2625. What is the nearest to 1.1 in g, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14572, 53523, 116846, 204541, 316608, 453047, 613858?\nAnswer: 799041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -1\/114?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 247.316553 - -0.053447. Let b = 21.43 + r. What is b rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3323 + 627. Suppose 0 = -33*n + 38*n - l. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (1 + -7 - -3) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -150*s**3 + 4*s**2 + 8*s + 2. Let i be w(-1). Solve -2*m = 146 - i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 506520 divided by 1.\nAnswer: 506520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/66)\/((-4)\/6). Let u = 11183 - 100646\/9. Which is the second smallest value?  (a) -0.1  (b) -2\/7  (c) w  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11372140*q + 1 + 11372158*q + 62*q**2 - 22744298*q.\nAnswer: 62*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -515 - 9*d**5 - 515 - 26*d**3 + 1546 + 6*d**2 - 29*d - 516 wrt d.\nAnswer: -540*d**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**2 + 26*s + 16. Let p be d(9). Let z be (50\/4)\/5*2. Put 2, 1, z, p in increasing order.\nAnswer: 1, 2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 12432 = -1944. Suppose 9*x - v = -87. What is the remainder when x is divided by 75?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 7 + 4615*p - 2 + 5391*p.\nAnswer: 10006*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353 - 31 = 32*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**2 + 4 - 73*a**3 - 14*a + 9*a + 66*a**3 + (19*a**3 + 5*a**3 + 0*a**3)*(-3 + 3 - 1) to x*a**3 + k + r*a + s*a**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/31 and -23\/100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 118*g**2 + 8*g + 6. Let l be z(-6). Suppose 22*b + 21025 = 5*h + 26*b, h - l = -b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70431218 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-18))\/(12\/36)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + -38 + (24 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 6\/17, 0.13, 3\/7, 1\/6, 0.118, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/15)*f*f**(-1\/12)*f*f*f\/(f**(2\/25)\/f)*f*f*f**(-2\/15))**(-1\/27))**18 assuming f is positive.\nAnswer: f**(-219\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207*l - 1995 = -5514 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 25, -2*l - 6*m - 24 = -2*m. Let u(c) = c**2 + 9*c - 74. Let f be u(5). Sort 28, -5, l, f in descending order.\nAnswer: 28, l, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377367022.\nAnswer: 2, 188683511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -252, -258, -276, -312, -372, -462, -588?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 32 = -3*l, 4*l - 6 = -h + 15. Suppose 4*j - 2*i - 2 = 0, -8*i + 4*i + 35 = h*j. Solve 2*z + 10 = -2*c, 6*z = 2*c + j*z - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2 + sqrt(2) + 1 + -3) + -4)**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 0.3. Let s = r - 0.4. Let o = 2.264 + -4.264. What is the nearest to o in 2\/7, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 1022?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of 0*r + 0*r**5 + 7\/12*r**4 - 1\/60*r**6 + 15\/2*r**3 + 0 + 38*r**2. Differentiate b(p) wrt p.\nAnswer: -6*p**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k**2 - 10*k - 9. Let s be i(6). Suppose -s*m = -5*m + 384. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-12)*s**(2\/105))\/(s**(6\/13)\/s**40))**(-2\/21) assuming s is positive.\nAnswer: s**(-75232\/28665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 7, a: 5, x: 4}. What is prob of sequence pax?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 6362?\nAnswer: -6360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*v**2*z - 45*v**2 + 14*v*z wrt z.\nAnswer: -38*v**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.46948413 to four dps.\nAnswer: 1.4695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y. Let c(w) = -21*w**2. What is c(q(b))?\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 - 20. Let g = x - -46. What is f in 7 - 12 + f**2 + g = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(7\/(-2) + (-6)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656.232 centuries in millennia?\nAnswer: 165.6232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 631089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/10 and -83\/10980?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/5 in -0.2, 4, 201, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 30. Let q = 83\/3 + t. Factor -40\/3*g**2 + 16\/3*g**3 - q + 17\/3*g.\nAnswer: (g - 2)*(4*g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8426875, -4, 4 in descending order.\nAnswer: 8426875, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 + 97. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 29*r**2\/2 + 11*r + 16. Let g be v(-1). Sort -12, 0, g in decreasing order.\nAnswer: 0, -12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7128 and 561?\nAnswer: 121176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -22*r**3 - 68*r**2 + 213*r - 146. Calculate p(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -853 = -3*b - 31. Suppose p = -3*y - 355, -331 = 4*y - y - 5*p. Let a = b + y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/24 - (-22)\/6. Solve -i = w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j - 8. Let w be v(0). Let f(d) = -85*d - 9. Let t be f(w). Let i = 1926 - t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 613152 and 556128?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -635 less than or equal to -635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -21568, -86176, -193826, -344512, -538228?\n\"Answer: p**3 - 21527*p**2 - 34*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32 + -29. Suppose -5*m + 29 = 3*f - 97, 0 = 2*m + k*f - 45. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -3*v**2\/2 - 2*v + 87. Give l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - 3*m - 5, 40 = -134*s + 113*s + 2*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*f*w**4 - 2*f*w**3 - 3*f*w + 5*f + 3*w**3 - 3*w**2 + 5*w - 9 wrt w?\nAnswer: 444*f*w**2 - 12*f*w + 18*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 4*o = 5*u - 20, -u = -2*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2. Let l(m) = -m + 3. Let i(w) = -w + 4. Let h(d) = -3*i(d) + 4*l(d). Determine o(h(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/15 - 8*g**2\/5 - 2*g + 52\/15.\nAnswer: 2*(g - 13)*(g - 1)*(g + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1433956816 to the power of 1\/2, to the nearest integer?\nAnswer: 37868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -1 + (-1 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3019, -2982, -2943, -2902?\n\"Answer: d**2 + 34*d - 3054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-792)\/(-48))\/(-33)*(1462\/(-102))\/(1\/(-6))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 79, 253, -2\/9?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g + 29427185. Let h(r) = -r. Give h(c(x)).\nAnswer: 2*x - 29427185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 33*i - 129. Let v be y(4). Suppose 2327 - 853 = 5*w + c, -v*c = -2*w + 576. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95813 by 264.\nAnswer: 95813\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7, q: 4, m: 2, v: 1}. What is prob of picking 2 q, 1 m, and 1 v?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -249*h**2 - 500 - 300*h**2 - 7 wrt h?\nAnswer: -1098*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 27593802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -1 + (-6 + 8 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2774*r**3 - 30*r**2 - 2203068*r wrt r.\nAnswer: 16644*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -3*v - 67. Let m be g(-24). Let w(q) = 4*q**3 + 5*q + 5. Let a(s) = 4*s**3 + 6*s + 6. Calculate m*a(f) - 6*w(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 15) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-6)*2 - -131. Suppose 230*u - 226*u = p + 140, -68 = -2*u + p. Calculate the highest common divisor of u and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -241, -364, -487?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of 1\/4*l**4 + 1\/3*l**3 - 19*l - 1\/2*l**2 + 0. Let k = -2 - -4. Let a(p) = -4*p**2 - 3*p + 2. What is k*a(v) + 3*f(v)?\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 398\/21 - 132\/7. Let b(w) = 4*w - 210. Let r be b(52). Sort q, -3, -5\/6, r in increasing order.\nAnswer: -3, r, -5\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -4*a - 9 - 23*a**3 - 5 + 35 - 7*a**3 + 25*a. Let s(k) = 3*k**3 - 2*k - 2. Determine 2*g(n) + 21*s(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2424386 or 2424396?\nAnswer: 2424386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + x**2 - 1)*(-4*x**3 + 4*x**3 - x**3) + 5*x**5 - 2*x**5 - 5*x**5 + (-x**3 + 3 - 3)*(-1 + 1 + x**2).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7795\/45 + 1 + ((-52)\/(-117))\/(-2). What is the highest common factor of t and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 744 = 5*w - 836, -h - 5*w + 395 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10\/(-30))\/(4\/(-1104)). Suppose a + 46 = 23*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 + -11 - (125 - 67 - 48)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1371 and 3.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/18 and -2 - -3 - (-274)\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1, -113 in descending order.\nAnswer: 1, -6, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(242))**2 - sqrt(2)) + 3 + -1 + sqrt(2) + 1*(-5 + (sqrt(2) - (sqrt(16)\/sqrt(8) + 2))).\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.152776154661 from -1.52.\nAnswer: -1.672776154661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -25*x**4 + 145*x**3 - 45*x**2 - 265*x - 50 = 0.\nAnswer: -1, -1\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 13 - (1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 3*z**2 + 3*z + 2. Let v be x(4). Put 5, v, 0.5 in descending order.\nAnswer: 5, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from iwjjijwwjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 5*m**2 + 6*m - 28. Let j be a(5). What is the second derivative of -5*y - 122*y - 55*y**2 + 77*y**j - 90*y wrt y?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**3 + 2*y**2 + 2*y - 2. Let a(f) = -2*f - 2. Let v be a(6). Let x(p) = p**3 + p**2 + p - 1. Let k(n) = v*x(n) + 6*d(n). Give k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 7*h**2 + 618*h - 676. What is k(-89)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11\/(363\/6) - 1362\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/(-8))\/(-5) - (-7)\/2. Suppose 381 = 5*h - 5*d - 1814, l*h + 2*d - 1337 = 0. Let m = 662 - h. What are the prime factors of m?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}